Location: Acid-Base Physiology @ 608392dde916 / BG / Boron NH4Cl expts - original eqns.cellml

Author:
Soroush Safaei <ssaf006@aucklanduni.ac.nz>
Date:
2017-08-19 23:08:50+12:00
Desc:
Auto stash before merge of "master" and "origin/master"
Permanent Source URI:
https://models.cellml.org/workspace/297/rawfile/608392dde916ecbee7adfeabd5c4913293ed79f1/BG/Boron NH4Cl expts - original eqns.cellml

<?xml version='1.0'?>
<model name="Boron_CO2_expts_original_eqns" 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="mol_per_m3" units_ref="mol_per_m3"/>
        <units name="mol_per_m3_s" units_ref="mol_per_m3_s"/>
        <units name="mol_per_m2_s" units_ref="mol_per_m2_s"/>
        <units name="per_m" units_ref="per_m"/>
        <units name="per_s" units_ref="per_s"/>
        <units name="m_per_s" units_ref="m_per_s"/>
        <units name="m3_per_mol" units_ref="m3_per_mol"/>
        <units name="J_per_mol_K" units_ref="J_per_mol_K"/>
        <units name="J_per_C" units_ref="J_per_C"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
    </import>
    <component name="main">
        <variable initial_value="-0.05" name="u_E" public_interface="out" units="J_per_C"/>
        <variable initial_value="0.0" name="TB_i" units="mol_per_m3"/>
        <variable name="q_NH3_i" units="mol_per_m3"/>
        <variable initial_value="0.159" name="q_NH3_o" units="mol_per_m3"/>
        <variable name="q_NH4_i" units="mol_per_m3"/>
        <variable name="q_NH4_o" units="mol_per_m3"/>
        <variable initial_value="50.12e-6" name="q_H_i" units="mol_per_m3"/>
        <variable initial_value="20.00e-6" name="q_H_o" units="mol_per_m3"/>
        <variable name="t" units="second"/>
        <variable name="pH_i" units="dimensionless"/>
        <variable name="pH_o" units="dimensionless"/>
        <variable initial_value="12000" name="rho" units="per_m"/>
        <variable name="epsilon" units="dimensionless"/>
        <variable name="alpha" units="dimensionless"/>
        <variable initial_value="0" name="k" units="per_s"/>
        <variable initial_value="0" name="P_NH4" units="m_per_s"/>
        <variable initial_value="6e-5" name="P_NH3" units="m_per_s"/>
        <variable initial_value="96485" name="F" units="C_per_mol"/>
        <variable initial_value="8.314" name="R" units="J_per_mol_K"/>
        <variable initial_value="300" name="T" units="kelvin"/>
        <variable initial_value="0.31623e-6" name="K_H" units="mol_per_m3"/>
        <variable initial_value="-9" name="beta" units="mol_per_m3"/>
        <variable name="M_NH4" units="mol_per_m3_s"/>
        <variable name="M_NH3" units="mol_per_m3_s"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>epsilon</ci>
                <apply>
                    <exp/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>u_E</ci>
                            <ci>F</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>R</ci>
                            <ci>T</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>pH_i</ci>
                <apply>
                    <minus/>
                    <apply>
                        <log/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless" type="e-notation">1<sep/>-3</cn>
                            <ci>q_H_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>pH_o</ci>
                <apply>
                    <minus/>
                    <apply>
                        <log/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless" type="e-notation">1<sep/>-3</cn>
                            <ci>q_H_o</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>q_NH4_o</ci>
                <piecewise>
                    <piece>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                            <lt/>
                            <ci>t</ci>
                            <cn cellml:units="second">600</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <cn cellml:units="dimensionless">0</cn>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>M_NH3</ci>
                <apply>
                    <times/>
                    <ci>P_NH3</ci>
                    <apply>
                        <minus/>
                        <ci>q_NH3_o</ci>
                        <ci>q_NH3_i</ci>
                    </apply>
                    <ci>rho</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>M_NH4</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <ci>P_NH4</ci>
                                    <ci>u_E</ci>
                                    <ci>F</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                            <apply>
                                <minus/>
                                <ci>q_NH4_o</ci>
                                <apply>
                                    <times/>
                                    <ci>q_NH4_i</ci>
                                    <ci>epsilon</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <minus/>
                            <ci>epsilon</ci>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                    </apply>
                    <ci>rho</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>TB_i</ci>
                </apply>
                <apply>
                    <plus/>
                    <ci>M_NH4</ci>
                    <ci>M_NH3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha</ci>
                <apply>
                    <divide/>
                    <ci>q_H_i</ci>
                    <apply>
                        <plus/>
                        <ci>q_H_i</ci>
                        <ci>K_H</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_H_i</ci>
                </apply>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">2.303</cn>
                            </apply>
                            <ci>q_H_i</ci>
                        </apply>
                        <ci>beta</ci>
                    </apply>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <ci>alpha</ci>
                            </apply>
                            <ci>M_NH4</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>alpha</ci>
                            <ci>M_NH3</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>q_NH4_i</ci>
                <apply>
                    <times/>
                    <ci>alpha</ci>
                    <ci>TB_i</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>q_NH3_i</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>alpha</ci>
                    </apply>
                    <ci>TB_i</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>