Location: BondGraph Basic @ d8de10edb753 / BG Tutorial Fluid Systems / 4-Renal.cellml

Author:
Soroush <ssaf006@aucklanduni.ac.nz>
Date:
2018-06-25 19:01:14+12:00
Desc:
adding new examples
Permanent Source URI:
https://models.cellml.org/workspace/43b/rawfile/d8de10edb753792c2741c0619a65288ffcbddecc/BG Tutorial Fluid Systems/4-Renal.cellml

<?xml version='1.0'?>
<model name="my_model" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
    <import xlink:href="Units.cellml">
        <units name="mm" units_ref="mm"/>
        <units name="mm3" units_ref="mm3"/>
        <units name="mm3_per_s" units_ref="mm3_per_s"/>
        <units name="J_per_s" units_ref="J_per_s"/>
        <units name="gJ_per_m3" units_ref="gJ_per_m3"/>
        <units name="gJ_s_per_m3" units_ref="gJ_s_per_m3"/>
        <units name="eJ_per_m6" units_ref="eJ_per_m6"/>
        <units name="eJ_s_per_m6" units_ref="eJ_s_per_m6"/>
        <units name="eJ_s2_per_m6" units_ref="eJ_s2_per_m6"/>
        <units name="pJ_s2_per_m5" units_ref="pJ_s2_per_m5"/>
    </import>
    <component name="main">
        <variable name="t" units="second"/>
        <variable initial_value="1.0" name="period" units="second"/>
        <!-- State variables-->
        <variable initial_value="0" name="q_1" units="mm3"/>
        <variable initial_value="0" name="q_2" units="mm3"/>
        <variable initial_value="0" name="q_3" units="mm3"/>
        <variable initial_value="0" name="q_4" units="mm3"/>
        <variable initial_value="0" name="q_5" units="mm3"/>
        <variable initial_value="0" name="q_6" units="mm3"/>
        <variable initial_value="0" name="q_7" units="mm3"/>
        <variable initial_value="0" name="q_8" units="mm3"/>
        <variable initial_value="0" name="q_9" units="mm3"/>
        <variable initial_value="0" name="q_10" units="mm3"/>
        <variable initial_value="0" name="q_11" units="mm3"/>
        <variable initial_value="0" name="q_12" units="mm3"/>
        <variable initial_value="0" name="q_13" units="mm3"/>
        <variable initial_value="0" name="q_14" units="mm3"/>
        <variable initial_value="0" name="q_15" units="mm3"/>
        <variable initial_value="0" name="q_16" units="mm3"/>
        <variable initial_value="0" name="q_17" units="mm3"/>
        <variable initial_value="0" name="q_18" units="mm3"/>
        <variable initial_value="0" name="q_19" units="mm3"/>
        <variable initial_value="0" name="q_20" units="mm3"/>
        <variable initial_value="0" name="q_21" units="mm3"/>
        <variable initial_value="0" name="q_22" units="mm3"/>
        <variable initial_value="0" name="q_23" units="mm3"/>
        <variable initial_value="0" name="q_24" units="mm3"/>
        <variable initial_value="0" name="q_25" units="mm3"/>
        <variable initial_value="0" name="q_26" units="mm3"/>
        <variable initial_value="0" name="q_27" units="mm3"/>
        <variable initial_value="0" name="q_28" units="mm3"/>
        <variable initial_value="0" name="q_29" units="mm3"/>
        <variable name="q_art" units="mm3"/>
        <variable name="q_cap" units="mm3"/>
        <variable name="q_ven" units="mm3"/>
        <variable name="q_tot" units="mm3"/>
        <variable name="v_in" units="mm3_per_s"/>
        <variable initial_value="0" name="v_1" units="mm3_per_s"/>
        <variable initial_value="0" name="v_2" units="mm3_per_s"/>
        <variable initial_value="0" name="v_3" units="mm3_per_s"/>
        <variable initial_value="0" name="v_4" units="mm3_per_s"/>
        <variable initial_value="0" name="v_5" units="mm3_per_s"/>
        <variable initial_value="0" name="v_6" units="mm3_per_s"/>
        <variable initial_value="0" name="v_7" units="mm3_per_s"/>
        <variable initial_value="0" name="v_8" units="mm3_per_s"/>
        <variable initial_value="0" name="v_9" units="mm3_per_s"/>
        <variable initial_value="0" name="v_10" units="mm3_per_s"/>
        <variable initial_value="0" name="v_11" units="mm3_per_s"/>
        <variable initial_value="0" name="v_12" units="mm3_per_s"/>
        <variable initial_value="0" name="v_13" units="mm3_per_s"/>
        <variable initial_value="0" name="v_14" units="mm3_per_s"/>
        <variable initial_value="0" name="v_15" units="mm3_per_s"/>
        <variable initial_value="0" name="v_16" units="mm3_per_s"/>
        <variable initial_value="0" name="v_17" units="mm3_per_s"/>
        <variable initial_value="0" name="v_18" units="mm3_per_s"/>
        <variable initial_value="0" name="v_19" units="mm3_per_s"/>
        <variable initial_value="0" name="v_20" units="mm3_per_s"/>
        <variable initial_value="0" name="v_21" units="mm3_per_s"/>
        <variable initial_value="0" name="v_22" units="mm3_per_s"/>
        <variable initial_value="0" name="v_23" units="mm3_per_s"/>
        <variable initial_value="0" name="v_24" units="mm3_per_s"/>
        <variable initial_value="0" name="v_25" units="mm3_per_s"/>
        <variable initial_value="0" name="v_26" units="mm3_per_s"/>
        <variable initial_value="0" name="v_27" units="mm3_per_s"/>
        <variable initial_value="0" name="v_28" units="mm3_per_s"/>
        <variable initial_value="0" name="v_29" units="mm3_per_s"/>
        <variable name="u_1" units="gJ_per_m3"/>
        <variable name="u_2" units="gJ_per_m3"/>
        <variable name="u_3" units="gJ_per_m3"/>
        <variable name="u_4" units="gJ_per_m3"/>
        <variable name="u_5" units="gJ_per_m3"/>
        <variable name="u_6" units="gJ_per_m3"/>
        <variable name="u_7" units="gJ_per_m3"/>
        <variable name="u_8" units="gJ_per_m3"/>
        <variable name="u_9" units="gJ_per_m3"/>
        <variable name="u_10" units="gJ_per_m3"/>
        <variable name="u_11" units="gJ_per_m3"/>
        <variable name="u_12" units="gJ_per_m3"/>
        <variable name="u_13" units="gJ_per_m3"/>
        <variable name="u_14" units="gJ_per_m3"/>
        <variable name="u_15" units="gJ_per_m3"/>
        <variable name="u_16" units="gJ_per_m3"/>
        <variable name="u_17" units="gJ_per_m3"/>
        <variable name="u_18" units="gJ_per_m3"/>
        <variable name="u_19" units="gJ_per_m3"/>
        <variable name="u_20" units="gJ_per_m3"/>
        <variable name="u_21" units="gJ_per_m3"/>
        <variable name="u_22" units="gJ_per_m3"/>
        <variable name="u_23" units="gJ_per_m3"/>
        <variable name="u_24" units="gJ_per_m3"/>
        <variable name="u_25" units="gJ_per_m3"/>
        <variable name="u_26" units="gJ_per_m3"/>
        <variable name="u_27" units="gJ_per_m3"/>
        <variable name="u_28" units="gJ_per_m3"/>
        <variable name="u_29" units="gJ_per_m3"/>
        <variable initial_value="0" name="u_out" units="gJ_per_m3"/>
        <!-- Constitutive parameters-->
        <variable initial_value="0.004e-9" name="mu" units="gJ_s_per_m3"/>
        <variable initial_value="1050e-15" name="rho" units="pJ_s2_per_m5"/>
        <variable initial_value="30" name="l_1" units="mm"/>
        <variable initial_value="150" name="l_2" units="mm"/>
        <variable initial_value="50" name="l_3" units="mm"/>
        <variable initial_value="10" name="l_4" units="mm"/>
        <variable initial_value="5" name="l_5" units="mm"/>
        <variable initial_value="1" name="l_6" units="mm"/>
        <variable initial_value="1" name="l_7" units="mm"/>
        <variable initial_value="1" name="l_8" units="mm"/>
        <variable initial_value="1" name="l_9" units="mm"/>
        <variable initial_value="1" name="l_10" units="mm"/>
        <variable initial_value="5" name="l_11" units="mm"/>
        <variable initial_value="10" name="l_12" units="mm"/>
        <variable initial_value="50" name="l_13" units="mm"/>
        <variable initial_value="150" name="l_14" units="mm"/>
        <variable initial_value="30" name="l_15" units="mm"/>
        <variable initial_value="2.6" name="r_1" units="mm"/>
        <variable initial_value="2.2" name="r_2" units="mm"/>
        <variable initial_value="1.6" name="r_3" units="mm"/>
        <variable initial_value="1.2" name="r_4" units="mm"/>
        <variable initial_value="1.0" name="r_5" units="mm"/>
        <variable initial_value="0.5" name="r_6" units="mm"/>
        <variable initial_value="0.1" name="r_7" units="mm"/>
        <variable initial_value="0.2" name="r_8" units="mm"/>
        <variable initial_value="0.1" name="r_9" units="mm"/>
        <variable initial_value="0.5" name="r_10" units="mm"/>
        <variable initial_value="1.0" name="r_11" units="mm"/>
        <variable initial_value="1.2" name="r_12" units="mm"/>
        <variable initial_value="1.6" name="r_13" units="mm"/>
        <variable initial_value="2.2" name="r_14" units="mm"/>
        <variable initial_value="2.6" name="r_15" units="mm"/>
        <variable initial_value="0.55" name="h_1" units="mm"/>
        <variable initial_value="0.55" name="h_2" units="mm"/>
        <variable initial_value="0.45" name="h_3" units="mm"/>
        <variable initial_value="0.35" name="h_4" units="mm"/>
        <variable initial_value="0.25" name="h_5" units="mm"/>
        <variable initial_value="0.15" name="h_6" units="mm"/>
        <variable initial_value="0.15" name="h_7" units="mm"/>
        <variable initial_value="0.15" name="h_8" units="mm"/>
        <variable initial_value="0.15" name="h_9" units="mm"/>
        <variable initial_value="0.15" name="h_10" units="mm"/>
        <variable initial_value="0.15" name="h_11" units="mm"/>
        <variable initial_value="0.25" name="h_12" units="mm"/>
        <variable initial_value="0.35" name="h_13" units="mm"/>
        <variable initial_value="0.45" name="h_14" units="mm"/>
        <variable initial_value="0.55" name="h_15" units="mm"/>
        <variable initial_value="400000e-9" name="Em_1" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_2" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_3" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_4" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_5" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_6" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_7" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_8" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_9" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_10" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_11" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_12" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_13" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_14" units="gJ_per_m3"/>
        <variable initial_value="400000e-9" name="Em_15" units="gJ_per_m3"/>
        <variable name="E_1" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_2" units="eJ_per_m6"/>
        <variable name="E_3" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_4" units="eJ_per_m6"/>
        <variable name="E_5" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_6" units="eJ_per_m6"/>
        <variable name="E_7" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_8" units="eJ_per_m6"/>
        <variable name="E_9" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_10" units="eJ_per_m6"/>
        <variable name="E_11" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_12" units="eJ_per_m6"/>
        <variable name="E_13" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_14" units="eJ_per_m6"/>
        <variable name="E_15" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_16" units="eJ_per_m6"/>
        <variable name="E_17" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_18" units="eJ_per_m6"/>
        <variable name="E_19" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_20" units="eJ_per_m6"/>
        <variable name="E_21" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_22" units="eJ_per_m6"/>
        <variable name="E_23" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_24" units="eJ_per_m6"/>
        <variable name="E_25" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_26" units="eJ_per_m6"/>
        <variable name="E_27" units="eJ_per_m6"/>
        <variable initial_value="1e+10" name="E_28" units="eJ_per_m6"/>
        <variable name="E_29" units="eJ_per_m6"/>
        <variable name="R_1" units="eJ_s_per_m6"/>
        <variable name="R_2" units="eJ_s_per_m6"/>
        <variable name="R_3" units="eJ_s_per_m6"/>
        <variable name="R_4" units="eJ_s_per_m6"/>
        <variable name="R_5" units="eJ_s_per_m6"/>
        <variable name="R_6" units="eJ_s_per_m6"/>
        <variable name="R_7" units="eJ_s_per_m6"/>
        <variable name="R_8" units="eJ_s_per_m6"/>
        <variable name="R_9" units="eJ_s_per_m6"/>
        <variable name="R_10" units="eJ_s_per_m6"/>
        <variable name="R_11" units="eJ_s_per_m6"/>
        <variable name="R_12" units="eJ_s_per_m6"/>
        <variable name="R_13" units="eJ_s_per_m6"/>
        <variable name="R_14" units="eJ_s_per_m6"/>
        <variable name="R_15" units="eJ_s_per_m6"/>
        <variable name="R_16" units="eJ_s_per_m6"/>
        <variable name="R_17" units="eJ_s_per_m6"/>
        <variable name="R_18" units="eJ_s_per_m6"/>
        <variable name="R_19" units="eJ_s_per_m6"/>
        <variable name="R_20" units="eJ_s_per_m6"/>
        <variable name="R_21" units="eJ_s_per_m6"/>
        <variable name="R_22" units="eJ_s_per_m6"/>
        <variable name="R_23" units="eJ_s_per_m6"/>
        <variable name="R_24" units="eJ_s_per_m6"/>
        <variable name="R_25" units="eJ_s_per_m6"/>
        <variable name="R_26" units="eJ_s_per_m6"/>
        <variable name="R_27" units="eJ_s_per_m6"/>
        <variable name="R_28" units="eJ_s_per_m6"/>
        <variable name="R_29" units="eJ_s_per_m6"/>
        <variable name="I_1" units="eJ_s2_per_m6"/>
        <variable name="I_2" units="eJ_s2_per_m6"/>
        <variable name="I_3" units="eJ_s2_per_m6"/>
        <variable name="I_4" units="eJ_s2_per_m6"/>
        <variable name="I_5" units="eJ_s2_per_m6"/>
        <variable name="I_6" units="eJ_s2_per_m6"/>
        <variable name="I_7" units="eJ_s2_per_m6"/>
        <variable name="I_8" units="eJ_s2_per_m6"/>
        <variable name="I_9" units="eJ_s2_per_m6"/>
        <variable name="I_10" units="eJ_s2_per_m6"/>
        <variable name="I_11" units="eJ_s2_per_m6"/>
        <variable name="I_12" units="eJ_s2_per_m6"/>
        <variable name="I_13" units="eJ_s2_per_m6"/>
        <variable name="I_14" units="eJ_s2_per_m6"/>
        <variable name="I_15" units="eJ_s2_per_m6"/>
        <variable name="I_16" units="eJ_s2_per_m6"/>
        <variable name="I_17" units="eJ_s2_per_m6"/>
        <variable name="I_18" units="eJ_s2_per_m6"/>
        <variable name="I_19" units="eJ_s2_per_m6"/>
        <variable name="I_20" units="eJ_s2_per_m6"/>
        <variable name="I_21" units="eJ_s2_per_m6"/>
        <variable name="I_22" units="eJ_s2_per_m6"/>
        <variable name="I_23" units="eJ_s2_per_m6"/>
        <variable name="I_24" units="eJ_s2_per_m6"/>
        <variable name="I_25" units="eJ_s2_per_m6"/>
        <variable name="I_26" units="eJ_s2_per_m6"/>
        <variable name="I_27" units="eJ_s2_per_m6"/>
        <variable name="I_28" units="eJ_s2_per_m6"/>
        <variable name="I_29" units="eJ_s2_per_m6"/>
        <variable initial_value="40.93" name="a1" units="dimensionless"/>
        <variable initial_value="0.199" name="b1" units="dimensionless"/>
        <variable initial_value="0.08563" name="c1" units="dimensionless"/>
        <variable initial_value="6" name="n_2" units="dimensionless"/>
        <variable initial_value="6" name="n_4" units="dimensionless"/>
        <variable initial_value="6" name="n_6" units="dimensionless"/>
        <variable initial_value="6" name="n_8" units="dimensionless"/>
        <variable initial_value="6" name="n_10" units="dimensionless"/>
        <variable initial_value="6" name="n_12" units="dimensionless"/>
        <variable initial_value="6" name="n_14" units="dimensionless"/>
        <variable initial_value="6" name="n_16" units="dimensionless"/>
        <variable initial_value="6" name="n_18" units="dimensionless"/>
        <variable initial_value="6" name="n_20" units="dimensionless"/>
        <variable initial_value="6" name="n_22" units="dimensionless"/>
        <variable initial_value="6" name="n_24" units="dimensionless"/>
        <variable initial_value="6" name="n_26" units="dimensionless"/>
        <variable initial_value="6" name="n_28" units="dimensionless"/>
        <!-- Inlet flow-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>v_in</ci>
                <apply>
                    <times/>
                    <ci>a1</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <minus/>
                            <apply>
                                <power/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <minus/>
                                        <apply>
                                            <minus/>
                                            <ci>t</ci>
                                            <apply>
                                                <times/>
                                                <ci>period</ci>
                                                <apply>
                                                    <floor/>
                                                    <apply>
                                                        <divide/>
                                                        <ci>t</ci>
                                                        <ci>period</ci>
                                                    </apply>
                                                </apply>
                                            </apply>
                                        </apply>
                                        <ci>b1</ci>
                                    </apply>
                                    <ci>c1</ci>
                                </apply>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_1</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_1</ci>
                        <ci>h_1</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_1</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_1</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_3</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_2</ci>
                        <ci>h_2</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_2</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_2</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_5</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_3</ci>
                        <ci>h_3</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_3</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_3</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_7</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_4</ci>
                        <ci>h_4</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_4</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_4</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_9</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_5</ci>
                        <ci>h_5</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_5</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_5</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_11</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_6</ci>
                        <ci>h_6</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_6</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_6</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_13</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_7</ci>
                        <ci>h_7</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_7</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_7</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_15</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_8</ci>
                        <ci>h_8</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_8</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_8</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_17</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_9</ci>
                        <ci>h_9</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_9</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_9</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_19</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_10</ci>
                        <ci>h_10</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_10</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_10</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_21</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_11</ci>
                        <ci>h_11</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_11</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_11</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_23</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_12</ci>
                        <ci>h_12</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_12</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_12</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_25</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_13</ci>
                        <ci>h_13</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_13</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_13</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_27</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_14</ci>
                        <ci>h_14</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_14</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_14</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_29</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Em_15</ci>
                        <ci>h_15</ci>
                    </apply>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_15</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>l_15</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_1</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">8</cn>
                        <ci>mu</ci>
                        <ci>l_1</ci>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_1</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_2</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_2</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_2</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_3</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_2</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_2</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_4</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_3</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_3</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_5</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_3</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_3</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_6</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_4</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_4</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_7</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_4</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_4</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_8</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_5</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_5</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_9</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_5</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_5</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_10</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_6</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_6</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_11</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_6</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_6</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_12</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_7</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_7</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_13</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_7</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_7</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_14</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_8</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_8</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_15</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_8</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_8</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_16</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_9</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_9</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_17</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_9</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_9</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_18</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_10</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_10</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_19</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_10</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_10</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_20</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_11</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_11</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_21</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_11</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_11</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_22</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_12</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_12</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_23</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_12</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_12</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_24</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_13</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_13</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_25</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_13</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_13</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_26</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_14</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_14</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_27</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_14</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_14</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_28</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_15</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_15</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>R_29</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">8</cn>
                            <ci>mu</ci>
                            <ci>l_15</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_15</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_1</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>rho</ci>
                        <ci>l_1</ci>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_1</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_2</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_2</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_2</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_3</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_2</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_2</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_4</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_3</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_3</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_5</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_3</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_3</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_6</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_4</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_4</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_7</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_4</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_4</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_8</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_5</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_5</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_9</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_5</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_5</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_10</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_6</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_6</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_11</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_6</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_6</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_12</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_7</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_7</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_13</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_7</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_7</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_14</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_8</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_8</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_15</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_8</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_8</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_16</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_9</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_9</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_17</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_9</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_9</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_18</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_10</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_10</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_19</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_10</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_10</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_20</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_11</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_11</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_21</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_11</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_11</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_22</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_12</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_12</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_23</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_12</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_12</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_24</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_13</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_13</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_25</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_13</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_13</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_26</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_14</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_14</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_27</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_14</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_14</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_28</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_15</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_15</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_29</ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>rho</ci>
                            <ci>l_15</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r_15</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- Flow conservation -->
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_1</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_in</ci>
                    <ci>v_1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_2</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_1</ci>
                    <apply>
                        <times/>
                        <ci>n_2</ci>
                        <ci>v_2</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_3</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_2</ci>
                    <ci>v_3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_4</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_3</ci>
                    <apply>
                        <times/>
                        <ci>n_4</ci>
                        <ci>v_4</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_5</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_4</ci>
                    <ci>v_5</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_6</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_5</ci>
                    <apply>
                        <times/>
                        <ci>n_6</ci>
                        <ci>v_6</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_7</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_6</ci>
                    <ci>v_7</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_8</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_7</ci>
                    <apply>
                        <times/>
                        <ci>n_8</ci>
                        <ci>v_8</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_9</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_8</ci>
                    <ci>v_9</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_10</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_9</ci>
                    <apply>
                        <times/>
                        <ci>n_10</ci>
                        <ci>v_10</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_11</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_10</ci>
                    <ci>v_11</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_12</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_11</ci>
                    <apply>
                        <times/>
                        <ci>n_12</ci>
                        <ci>v_12</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_13</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_12</ci>
                    <ci>v_13</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_14</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>n_14</ci>
                        <ci>v_13</ci>
                    </apply>
                    <ci>v_14</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_15</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_14</ci>
                    <ci>v_15</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_16</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_15</ci>
                    <apply>
                        <times/>
                        <ci>n_16</ci>
                        <ci>v_16</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_17</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_16</ci>
                    <ci>v_17</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_18</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>n_18</ci>
                        <ci>v_17</ci>
                    </apply>
                    <ci>v_18</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_19</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_18</ci>
                    <ci>v_19</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_20</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>n_20</ci>
                        <ci>v_19</ci>
                    </apply>
                    <ci>v_20</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_21</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_20</ci>
                    <ci>v_21</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_22</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>n_22</ci>
                        <ci>v_21</ci>
                    </apply>
                    <ci>v_22</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_23</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_22</ci>
                    <ci>v_23</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_24</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>n_24</ci>
                        <ci>v_23</ci>
                    </apply>
                    <ci>v_24</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_25</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_24</ci>
                    <ci>v_25</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_26</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>n_26</ci>
                        <ci>v_25</ci>
                    </apply>
                    <ci>v_26</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_27</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_26</ci>
                    <ci>v_27</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_28</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>n_28</ci>
                        <ci>v_27</ci>
                    </apply>
                    <ci>v_28</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_29</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_28</ci>
                    <ci>v_29</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>q_art</ci>
                <apply>
                    <plus/>
                    <ci>q_1</ci>
                    <ci>q_2</ci>
                    <apply>
                        <times/>
                        <ci>n_2</ci>
                        <apply>
                            <plus/>
                            <ci>q_3</ci>
                            <ci>q_4</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>n_2</ci>
                        <ci>n_4</ci>
                        <apply>
                            <plus/>
                            <ci>q_5</ci>
                            <ci>q_6</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>n_2</ci>
                        <ci>n_4</ci>
                        <ci>n_6</ci>
                        <apply>
                            <plus/>
                            <ci>q_7</ci>
                            <ci>q_8</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>n_2</ci>
                        <ci>n_4</ci>
                        <ci>n_6</ci>
                        <ci>n_8</ci>
                        <apply>
                            <plus/>
                            <ci>q_9</ci>
                            <ci>q_10</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>n_2</ci>
                        <ci>n_4</ci>
                        <ci>n_6</ci>
                        <ci>n_8</ci>
                        <ci>n_10</ci>
                        <apply>
                            <plus/>
                            <ci>q_11</ci>
                            <ci>q_12</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>q_cap</ci>
                <apply>
                    <times/>
                    <ci>n_2</ci>
                    <ci>n_4</ci>
                    <ci>n_6</ci>
                    <ci>n_8</ci>
                    <ci>n_10</ci>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>n_12</ci>
                            <ci>q_13</ci>
                        </apply>
                        <ci>q_14</ci>
                        <ci>q_15</ci>
                        <ci>q_16</ci>
                        <apply>
                            <times/>
                            <ci>n_16</ci>
                            <ci>q_17</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>q_ven</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <ci>n_2</ci>
                        <ci>n_4</ci>
                        <ci>n_6</ci>
                        <ci>n_8</ci>
                        <ci>n_10</ci>
                        <apply>
                            <plus/>
                            <ci>q_18</ci>
                            <ci>q_19</ci>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>q_20</ci>
                                    <ci>q_21</ci>
                                </apply>
                                <ci>n_20</ci>
                            </apply>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>q_22</ci>
                                    <ci>q_23</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>n_20</ci>
                                    <ci>n_22</ci>
                                </apply>
                            </apply>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>q_24</ci>
                                    <ci>q_25</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>n_20</ci>
                                    <ci>n_22</ci>
                                    <ci>n_24</ci>
                                </apply>
                            </apply>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>q_26</ci>
                                    <ci>q_27</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>n_20</ci>
                                    <ci>n_22</ci>
                                    <ci>n_24</ci>
                                    <ci>n_26</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                    <ci>q_28</ci>
                    <ci>q_29</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>q_tot</ci>
                <apply>
                    <plus/>
                    <ci>q_art</ci>
                    <ci>q_cap</ci>
                    <ci>q_ven</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_1</ci>
                <apply>
                    <times/>
                    <ci>E_1</ci>
                    <ci>q_1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_2</ci>
                <apply>
                    <times/>
                    <ci>E_2</ci>
                    <ci>q_2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_3</ci>
                <apply>
                    <times/>
                    <ci>E_3</ci>
                    <ci>q_3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_4</ci>
                <apply>
                    <times/>
                    <ci>E_4</ci>
                    <ci>q_4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_5</ci>
                <apply>
                    <times/>
                    <ci>E_5</ci>
                    <ci>q_5</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_6</ci>
                <apply>
                    <times/>
                    <ci>E_6</ci>
                    <ci>q_6</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_7</ci>
                <apply>
                    <times/>
                    <ci>E_7</ci>
                    <ci>q_7</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_8</ci>
                <apply>
                    <times/>
                    <ci>E_8</ci>
                    <ci>q_8</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_9</ci>
                <apply>
                    <times/>
                    <ci>E_9</ci>
                    <ci>q_9</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_10</ci>
                <apply>
                    <times/>
                    <ci>E_10</ci>
                    <ci>q_10</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_11</ci>
                <apply>
                    <times/>
                    <ci>E_11</ci>
                    <ci>q_11</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_12</ci>
                <apply>
                    <times/>
                    <ci>E_12</ci>
                    <ci>q_12</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_13</ci>
                <apply>
                    <times/>
                    <ci>E_13</ci>
                    <ci>q_13</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_14</ci>
                <apply>
                    <times/>
                    <ci>E_14</ci>
                    <ci>q_14</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_15</ci>
                <apply>
                    <times/>
                    <ci>E_15</ci>
                    <ci>q_15</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_16</ci>
                <apply>
                    <times/>
                    <ci>E_16</ci>
                    <ci>q_16</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_17</ci>
                <apply>
                    <times/>
                    <ci>E_17</ci>
                    <ci>q_17</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_18</ci>
                <apply>
                    <times/>
                    <ci>E_18</ci>
                    <ci>q_18</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_19</ci>
                <apply>
                    <times/>
                    <ci>E_19</ci>
                    <ci>q_19</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_20</ci>
                <apply>
                    <times/>
                    <ci>E_20</ci>
                    <ci>q_20</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_21</ci>
                <apply>
                    <times/>
                    <ci>E_21</ci>
                    <ci>q_21</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_22</ci>
                <apply>
                    <times/>
                    <ci>E_22</ci>
                    <ci>q_22</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_23</ci>
                <apply>
                    <times/>
                    <ci>E_23</ci>
                    <ci>q_23</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_24</ci>
                <apply>
                    <times/>
                    <ci>E_24</ci>
                    <ci>q_24</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_25</ci>
                <apply>
                    <times/>
                    <ci>E_25</ci>
                    <ci>q_25</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_26</ci>
                <apply>
                    <times/>
                    <ci>E_26</ci>
                    <ci>q_26</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_27</ci>
                <apply>
                    <times/>
                    <ci>E_27</ci>
                    <ci>q_27</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_28</ci>
                <apply>
                    <times/>
                    <ci>E_28</ci>
                    <ci>q_28</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_29</ci>
                <apply>
                    <times/>
                    <ci>E_29</ci>
                    <ci>q_29</ci>
                </apply>
            </apply>
            <!-- Pressure balance relations-->
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_1</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_1</ci>
                            <ci>u_2</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_1</ci>
                            <ci>v_1</ci>
                        </apply>
                    </apply>
                    <ci>I_1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_2</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_2</ci>
                            <ci>u_3</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_2</ci>
                            <ci>v_2</ci>
                        </apply>
                    </apply>
                    <ci>I_2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_3</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_3</ci>
                            <ci>u_4</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_3</ci>
                            <ci>v_3</ci>
                        </apply>
                    </apply>
                    <ci>I_3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_4</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_4</ci>
                            <ci>u_5</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_4</ci>
                            <ci>v_4</ci>
                        </apply>
                    </apply>
                    <ci>I_4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_5</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_5</ci>
                            <ci>u_6</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_5</ci>
                            <ci>v_5</ci>
                        </apply>
                    </apply>
                    <ci>I_5</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_6</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_6</ci>
                            <ci>u_7</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_6</ci>
                            <ci>v_6</ci>
                        </apply>
                    </apply>
                    <ci>I_6</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_7</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_7</ci>
                            <ci>u_8</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_7</ci>
                            <ci>v_7</ci>
                        </apply>
                    </apply>
                    <ci>I_7</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_8</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_8</ci>
                            <ci>u_9</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_8</ci>
                            <ci>v_8</ci>
                        </apply>
                    </apply>
                    <ci>I_8</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_9</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_9</ci>
                            <ci>u_10</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_9</ci>
                            <ci>v_9</ci>
                        </apply>
                    </apply>
                    <ci>I_9</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_10</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_10</ci>
                            <ci>u_11</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_10</ci>
                            <ci>v_10</ci>
                        </apply>
                    </apply>
                    <ci>I_10</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_11</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_11</ci>
                            <ci>u_12</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_11</ci>
                            <ci>v_11</ci>
                        </apply>
                    </apply>
                    <ci>I_11</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_12</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_12</ci>
                            <ci>u_13</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_12</ci>
                            <ci>v_12</ci>
                        </apply>
                    </apply>
                    <ci>I_12</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_13</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_13</ci>
                            <ci>u_14</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_13</ci>
                            <ci>v_13</ci>
                        </apply>
                    </apply>
                    <ci>I_13</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_14</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_14</ci>
                            <ci>u_15</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_14</ci>
                            <ci>v_14</ci>
                        </apply>
                    </apply>
                    <ci>I_14</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_15</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_15</ci>
                            <ci>u_16</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_15</ci>
                            <ci>v_15</ci>
                        </apply>
                    </apply>
                    <ci>I_15</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_16</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_16</ci>
                            <ci>u_17</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_16</ci>
                            <ci>v_16</ci>
                        </apply>
                    </apply>
                    <ci>I_16</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_17</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_17</ci>
                            <ci>u_18</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_17</ci>
                            <ci>v_17</ci>
                        </apply>
                    </apply>
                    <ci>I_17</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_18</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_18</ci>
                            <ci>u_19</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_18</ci>
                            <ci>v_18</ci>
                        </apply>
                    </apply>
                    <ci>I_18</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_19</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_19</ci>
                            <ci>u_20</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_19</ci>
                            <ci>v_19</ci>
                        </apply>
                    </apply>
                    <ci>I_19</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_20</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_20</ci>
                            <ci>u_21</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_20</ci>
                            <ci>v_20</ci>
                        </apply>
                    </apply>
                    <ci>I_20</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_21</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_21</ci>
                            <ci>u_22</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_21</ci>
                            <ci>v_21</ci>
                        </apply>
                    </apply>
                    <ci>I_21</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_22</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_22</ci>
                            <ci>u_23</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_22</ci>
                            <ci>v_22</ci>
                        </apply>
                    </apply>
                    <ci>I_22</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_23</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_23</ci>
                            <ci>u_24</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_23</ci>
                            <ci>v_23</ci>
                        </apply>
                    </apply>
                    <ci>I_23</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_24</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_24</ci>
                            <ci>u_25</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_24</ci>
                            <ci>v_24</ci>
                        </apply>
                    </apply>
                    <ci>I_24</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_25</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_25</ci>
                            <ci>u_26</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_25</ci>
                            <ci>v_25</ci>
                        </apply>
                    </apply>
                    <ci>I_25</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_26</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_26</ci>
                            <ci>u_27</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_26</ci>
                            <ci>v_26</ci>
                        </apply>
                    </apply>
                    <ci>I_26</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_27</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_27</ci>
                            <ci>u_28</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_27</ci>
                            <ci>v_27</ci>
                        </apply>
                    </apply>
                    <ci>I_27</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_28</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_28</ci>
                            <ci>u_29</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_28</ci>
                            <ci>v_28</ci>
                        </apply>
                    </apply>
                    <ci>I_28</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_29</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_29</ci>
                            <ci>u_out</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R_29</ci>
                            <ci>v_29</ci>
                        </apply>
                    </apply>
                    <ci>I_29</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>