Location: Bond Graph Model of Neonatal Circulation @ b69f6c4051fd / main_baby.cellml

Author:
Robyn-May <r.may@auckland.ac.nz>
Date:
2021-05-07 14:14:31+12:00
Desc:
Adding initial copy of the bond graph neonatal circulation model to the workspace.
Permanent Source URI:
https://models.cellml.org/workspace/662/rawfile/b69f6c4051fda1a7572054d3cc88f7bc5cb16944/main_baby.cellml

<?xml version='1.0' encoding='UTF-8'?>
<!-- 22/9/2020 Robyn May
 Simplified closed loop model of neonatal circulatory system-->
<model name="CardiovascularSystem" 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 units-->
    <import xlink:href="Units.cellml">
        <units name="m3" units_ref="m3"/>
        <units name="m3_per_s" units_ref="m3_per_s"/>
        <units name="m6_per_J" units_ref="m6_per_J"/>
        <units name="per_m" units_ref="per_m"/>
        <units name="J_per_m3" units_ref="J_per_m3"/>
        <units name="Js_per_m6" units_ref="Js_per_m6"/>
        <units name="Js2_per_m6" units_ref="Js2_per_m6"/>
        <units name="Js2_per_m5" units_ref="Js2_per_m5"/>
        <units name="J_per_s" units_ref="J_per_s"/>
        <units name="J_per_m6" units_ref="J_per_m6"/>
        <units name="Js_per_m3" units_ref="Js_per_m3"/>
        <units name="UnitValve" units_ref="UnitValve"/>
    </import>
    <!-- Import parameters-->
    <import xlink:href="Parameters_baby.cellml">
        <component component_ref="Parameters_Systemic" name="Parameters_Systemic"/>
        <component component_ref="Parameters_Pulmonary" name="Parameters_Pulmonary"/>
        <component component_ref="Parameters_Heart" name="Parameters_Heart"/>
    </import>
    <!-- Define environment component-->
    <component name="environment">
        <variable name="time" public_interface="out" units="second"/>
    </component>
    <!-- Import bond graph modules-->
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="vv_type" name="aortic_root"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pv_jII_type" name="ascending_aorta"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pv_jII_type" name="aortic_arch_I"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pv_jII_type" name="aortic_arch_II"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pv_jII_type" name="brachiocephalic"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pv_type" name="descending_aorta"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pp_BC_type" name="right_common_carotid"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pp_BC_type" name="left_common_carotid"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pv_type" name="right_subclavian"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pv_type" name="left_subclavian"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pp_BC_type" name="right_arm"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pp_BC_type" name="left_arm"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pv_jII_type" name="abdominal_aorta"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pp_BC_type" name="right_leg"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pp_BC_type" name="left_leg"/>
    </import>
    <!-- Map time-->
    <connection>
        <map_components component_1="environment" component_2="aortic_root"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="ascending_aorta"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="aortic_arch_I"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="aortic_arch_II"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="brachiocephalic"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="descending_aorta"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="right_common_carotid"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="left_common_carotid"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="right_subclavian"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="left_subclavian"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="right_arm"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="left_arm"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="abdominal_aorta"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="right_leg"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="left_leg"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <!--&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45; Systemic Circulation &#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;//-->
    <component name="Systemic">
        <variable name="t" public_interface="in" units="second"/>
        <!-- Constitutive Parameters-->
        <variable name="C_svc" public_interface="in" units="m6_per_J"/>
        <variable name="C_ivc" public_interface="in" units="m6_per_J"/>
        <variable name="R_svc" public_interface="in" units="Js_per_m6"/>
        <variable name="R_ivc" public_interface="in" units="Js_per_m6"/>
        <variable name="I_svc" public_interface="in" units="Js2_per_m6"/>
        <variable name="I_ivc" public_interface="in" units="Js2_per_m6"/>
        <variable initial_value="1.3" name="alpha" public_interface="out" units="dimensionless"/>
        <!-- State Variables-->
        <variable name="u_ra" public_interface="in" units="J_per_m3"/>
        <variable initial_value="0.0" name="u_svc" public_interface="out" units="J_per_m3"/>
        <variable initial_value="0.0" name="u_ivc" public_interface="out" units="J_per_m3"/>
        <variable initial_value="0.0" name="v_svc" public_interface="out" units="m3_per_s"/>
        <variable initial_value="0.0" name="v_ivc" public_interface="out" units="m3_per_s"/>
        <variable name="v_sup_venacava" public_interface="out" units="m3_per_s"/>
        <variable name="v_inf_venacava" public_interface="out" units="m3_per_s"/>
        <variable name="v_right_common_carotid" public_interface="in" units="m3_per_s"/>
        <variable name="v_left_common_carotid" public_interface="in" units="m3_per_s"/>
        <variable name="v_right_arm" public_interface="in" units="m3_per_s"/>
        <variable name="v_left_arm" public_interface="in" units="m3_per_s"/>
        <variable name="v_right_leg" public_interface="in" units="m3_per_s"/>
        <variable name="v_left_leg" public_interface="in" units="m3_per_s"/>
        <!-- Constitutive Relations-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>u_svc</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>v_sup_venacava</ci>
                        <ci>v_svc</ci>
                    </apply>
                    <ci>C_svc</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>u_ivc</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>v_inf_venacava</ci>
                        <ci>v_ivc</ci>
                    </apply>
                    <ci>C_ivc</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_svc</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_svc</ci>
                            <ci>u_ra</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>v_svc</ci>
                            <ci>R_svc</ci>
                        </apply>
                    </apply>
                    <ci>I_svc</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_ivc</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_ivc</ci>
                            <ci>u_ra</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>v_ivc</ci>
                            <ci>R_ivc</ci>
                        </apply>
                    </apply>
                    <ci>I_ivc</ci>
                </apply>
            </apply>
            <!-- Conservation Laws-->
            <apply>
                <eq/>
                <ci>v_sup_venacava</ci>
                <apply>
                    <plus/>
                    <ci>v_left_arm</ci>
                    <ci>v_left_common_carotid</ci>
                    <ci>v_right_arm</ci>
                    <ci>v_right_common_carotid</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_inf_venacava</ci>
                <apply>
                    <plus/>
                    <ci>v_right_leg</ci>
                    <ci>v_left_leg</ci>
                </apply>
            </apply>
        </math>
    </component>
    <!--&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45; Pulmonary Circulation &#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;//-->
    <component name="Pulmonary">
        <variable name="t" public_interface="in" units="second"/>
        <!-- Constitutive Parameters_Systemic-->
        <variable name="C_pulm" public_interface="in" units="m6_per_J"/>
        <variable name="R_pulm" public_interface="in" units="Js_per_m6"/>
        <variable name="I_pulm" public_interface="in" units="Js2_per_m6"/>
        <!-- State Variables-->
        <variable initial_value="1600.0" name="u_pulm" public_interface="out" units="J_per_m3"/>
        <variable name="u_la" public_interface="in" units="J_per_m3"/>
        <variable initial_value="0.0" name="v_pulm" public_interface="out" units="m3_per_s"/>
        <variable name="v_rv" public_interface="in" units="m3_per_s"/>
        <!-- Constitutive Relations-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>u_pulm</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>v_rv</ci>
                        <ci>v_pulm</ci>
                    </apply>
                    <ci>C_pulm</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_pulm</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_pulm</ci>
                            <ci>u_la</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>v_pulm</ci>
                            <ci>R_pulm</ci>
                        </apply>
                    </apply>
                    <ci>I_pulm</ci>
                </apply>
            </apply>
        </math>
    </component>
    <!--&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45; Heart &#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;//-->
    <component name="Heart">
        <variable name="t" public_interface="in" units="second"/>
        <!-- Constitutive Parameters-->
        <variable name="mt" units="second"/>
        <variable name="e_a" units="dimensionless"/>
        <variable name="e_v" units="dimensionless"/>
        <variable name="T" public_interface="in" units="second"/>
        <variable name="t_ac" public_interface="in" units="dimensionless"/>
        <variable name="t_ar" public_interface="in" units="dimensionless"/>
        <variable name="T_ac" public_interface="in" units="dimensionless"/>
        <variable name="T_ar" public_interface="in" units="dimensionless"/>
        <variable name="T_vc" public_interface="in" units="dimensionless"/>
        <variable name="T_vr" public_interface="in" units="dimensionless"/>
        <variable name="CQ_trv" public_interface="in" units="UnitValve"/>
        <variable name="CQ_puv" public_interface="in" units="UnitValve"/>
        <variable name="CQ_miv" public_interface="in" units="UnitValve"/>
        <variable name="CQ_aov" public_interface="in" units="UnitValve"/>
        <variable name="E_lv_A" public_interface="in" units="J_per_m6"/>
        <variable name="E_lv_B" public_interface="in" units="J_per_m6"/>
        <variable name="E_la_A" public_interface="in" units="J_per_m6"/>
        <variable name="E_la_B" public_interface="in" units="J_per_m6"/>
        <variable name="E_rv_A" public_interface="in" units="J_per_m6"/>
        <variable name="E_rv_B" public_interface="in" units="J_per_m6"/>
        <variable name="E_ra_A" public_interface="in" units="J_per_m6"/>
        <variable name="E_ra_B" public_interface="in" units="J_per_m6"/>
        <variable name="q_ra_0" public_interface="in" units="m3"/>
        <variable name="q_rv_0" public_interface="in" units="m3"/>
        <variable name="q_la_0" public_interface="in" units="m3"/>
        <variable name="q_lv_0" public_interface="in" units="m3"/>
        <!-- State Variables-->
        <variable name="u_ra" public_interface="out" units="J_per_m3"/>
        <variable name="u_rv" units="J_per_m3"/>
        <variable name="u_la" public_interface="out" units="J_per_m3"/>
        <variable name="u_lv" units="J_per_m3"/>
        <variable name="u_root" public_interface="in" units="J_per_m3"/>
        <variable name="u_pulm" public_interface="in" units="J_per_m3"/>
        <variable name="v_ra" units="m3_per_s"/>
        <variable name="v_rv" public_interface="out" units="m3_per_s"/>
        <variable name="v_la" units="m3_per_s"/>
        <variable name="v_lv" public_interface="out" units="m3_per_s"/>
        <variable name="v_sup_venacava" public_interface="in" units="m3_per_s"/>
        <variable name="v_inf_venacava" public_interface="in" units="m3_per_s"/>
        <variable name="v_pulm" public_interface="in" units="m3_per_s"/>
        <variable initial_value="5e-6" name="q_ra" units="m3"/>
        <variable initial_value="10e-6" name="q_rv" units="m3"/>
        <variable initial_value="5e-6" name="q_la" units="m3"/>
        <variable initial_value="380e-6" name="q_lv" units="m3"/>
        <variable name="E_la_out" units="J_per_m6"/>
        <variable name="E_lv_out" units="J_per_m6"/>
        <!-- Elastance Functions-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>mt</ci>
                <apply>
                    <minus/>
                    <ci>t</ci>
                    <apply>
                        <times/>
                        <ci>T</ci>
                        <apply>
                            <floor/>
                            <apply>
                                <divide/>
                                <ci>t</ci>
                                <ci>T</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>e_a</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.5</cn>
                            <apply>
                                <plus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <cos/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <times/>
                                            <pi/>
                                            <apply>
                                                <minus/>
                                                <apply>
                                                    <plus/>
                                                    <ci>mt</ci>
                                                    <ci>T</ci>
                                                </apply>
                                                <ci>t_ar</ci>
                                            </apply>
                                        </apply>
                                        <ci>T_ar</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <and/>
                            <apply>
                                <geq/>
                                <ci>mt</ci>
                                <cn cellml:units="second">0</cn>
                            </apply>
                            <apply>
                                <leq/>
                                <ci>mt</ci>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <plus/>
                                        <ci>t_ar</ci>
                                        <ci>T_ar</ci>
                                    </apply>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </piece>
                    <piece>
                        <cn cellml:units="dimensionless">0</cn>
                        <apply>
                            <and/>
                            <apply>
                                <gt/>
                                <ci>mt</ci>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <plus/>
                                        <ci>t_ar</ci>
                                        <ci>T_ar</ci>
                                    </apply>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                            <apply>
                                <leq/>
                                <ci>mt</ci>
                                <ci>t_ac</ci>
                            </apply>
                        </apply>
                    </piece>
                    <piece>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.5</cn>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <cos/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <times/>
                                            <pi/>
                                            <apply>
                                                <minus/>
                                                <ci>mt</ci>
                                                <ci>t_ac</ci>
                                            </apply>
                                        </apply>
                                        <ci>T_ac</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <and/>
                            <apply>
                                <gt/>
                                <ci>mt</ci>
                                <ci>t_ac</ci>
                            </apply>
                            <apply>
                                <leq/>
                                <ci>mt</ci>
                                <apply>
                                    <plus/>
                                    <ci>t_ac</ci>
                                    <ci>T_ac</ci>
                                </apply>
                            </apply>
                        </apply>
                    </piece>
                    <piece>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.5</cn>
                            <apply>
                                <plus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <cos/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <times/>
                                            <pi/>
                                            <apply>
                                                <minus/>
                                                <ci>mt</ci>
                                                <ci>t_ar</ci>
                                            </apply>
                                        </apply>
                                        <ci>T_ar</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <and/>
                            <apply>
                                <gt/>
                                <ci>mt</ci>
                                <apply>
                                    <plus/>
                                    <ci>t_ac</ci>
                                    <ci>T_ac</ci>
                                </apply>
                            </apply>
                            <apply>
                                <leq/>
                                <ci>mt</ci>
                                <ci>T</ci>
                            </apply>
                        </apply>
                    </piece>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>e_v</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.5</cn>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <cos/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <times/>
                                            <pi/>
                                            <ci>mt</ci>
                                        </apply>
                                        <ci>T_vc</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <and/>
                            <apply>
                                <geq/>
                                <ci>mt</ci>
                                <cn cellml:units="second">0</cn>
                            </apply>
                            <apply>
                                <leq/>
                                <ci>mt</ci>
                                <ci>T_vc</ci>
                            </apply>
                        </apply>
                    </piece>
                    <piece>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.5</cn>
                            <apply>
                                <plus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <cos/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <times/>
                                            <pi/>
                                            <apply>
                                                <minus/>
                                                <ci>mt</ci>
                                                <ci>T_vc</ci>
                                            </apply>
                                        </apply>
                                        <ci>T_vr</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <and/>
                            <apply>
                                <gt/>
                                <ci>mt</ci>
                                <ci>T_vc</ci>
                            </apply>
                            <apply>
                                <leq/>
                                <ci>mt</ci>
                                <apply>
                                    <plus/>
                                    <ci>T_vc</ci>
                                    <ci>T_vr</ci>
                                </apply>
                            </apply>
                        </apply>
                    </piece>
                    <piece>
                        <cn cellml:units="dimensionless">0</cn>
                        <apply>
                            <and/>
                            <apply>
                                <gt/>
                                <ci>mt</ci>
                                <apply>
                                    <plus/>
                                    <ci>T_vc</ci>
                                    <ci>T_vr</ci>
                                </apply>
                            </apply>
                            <apply>
                                <lt/>
                                <ci>mt</ci>
                                <ci>T</ci>
                            </apply>
                        </apply>
                    </piece>
                </piecewise>
            </apply>
            <!-- Constitutive Relations-->
            <apply>
                <eq/>
                <ci>v_ra</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <ci>CQ_trv</ci>
                            <apply>
                                <root/>
                                <apply>
                                    <minus/>
                                    <ci>u_ra</ci>
                                    <ci>u_rv</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <geq/>
                            <ci>u_ra</ci>
                            <ci>u_rv</ci>
                        </apply>
                    </piece>
                    <piece>
                        <cn cellml:units="m3_per_s">0</cn>
                        <apply>
                            <lt/>
                            <ci>u_ra</ci>
                            <ci>u_rv</ci>
                        </apply>
                    </piece>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>v_rv</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <ci>CQ_puv</ci>
                            <apply>
                                <root/>
                                <apply>
                                    <minus/>
                                    <ci>u_rv</ci>
                                    <ci>u_pulm</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <geq/>
                            <ci>u_rv</ci>
                            <ci>u_pulm</ci>
                        </apply>
                    </piece>
                    <piece>
                        <cn cellml:units="m3_per_s">0</cn>
                        <apply>
                            <lt/>
                            <ci>u_rv</ci>
                            <ci>u_pulm</ci>
                        </apply>
                    </piece>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>v_la</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <ci>CQ_miv</ci>
                            <apply>
                                <root/>
                                <apply>
                                    <minus/>
                                    <ci>u_la</ci>
                                    <ci>u_lv</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <geq/>
                            <ci>u_la</ci>
                            <ci>u_lv</ci>
                        </apply>
                    </piece>
                    <piece>
                        <cn cellml:units="m3_per_s">0</cn>
                        <apply>
                            <lt/>
                            <ci>u_la</ci>
                            <ci>u_lv</ci>
                        </apply>
                    </piece>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>v_lv</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <ci>CQ_aov</ci>
                            <apply>
                                <root/>
                                <apply>
                                    <minus/>
                                    <ci>u_lv</ci>
                                    <ci>u_root</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <geq/>
                            <ci>u_lv</ci>
                            <ci>u_root</ci>
                        </apply>
                    </piece>
                    <piece>
                        <cn cellml:units="m3_per_s">0</cn>
                        <apply>
                            <lt/>
                            <ci>u_lv</ci>
                            <ci>u_root</ci>
                        </apply>
                    </piece>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>u_ra</ci>
                <apply>
                    <times/>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>e_a</ci>
                            <ci>E_ra_A</ci>
                        </apply>
                        <ci>E_ra_B</ci>
                    </apply>
                    <apply>
                        <minus/>
                        <ci>q_ra</ci>
                        <ci>q_ra_0</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_rv</ci>
                <apply>
                    <times/>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>e_v</ci>
                            <ci>E_rv_A</ci>
                        </apply>
                        <ci>E_rv_B</ci>
                    </apply>
                    <apply>
                        <minus/>
                        <ci>q_rv</ci>
                        <ci>q_rv_0</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_la</ci>
                <apply>
                    <times/>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>e_a</ci>
                            <ci>E_la_A</ci>
                        </apply>
                        <ci>E_la_B</ci>
                    </apply>
                    <apply>
                        <minus/>
                        <ci>q_la</ci>
                        <ci>q_la_0</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_lv</ci>
                <apply>
                    <times/>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>e_v</ci>
                            <ci>E_lv_A</ci>
                        </apply>
                        <ci>E_lv_B</ci>
                    </apply>
                    <apply>
                        <minus/>
                        <ci>q_lv</ci>
                        <ci>q_lv_0</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_la_out</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <ci>e_a</ci>
                        <ci>E_la_A</ci>
                    </apply>
                    <ci>E_la_B</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E_lv_out</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <ci>e_v</ci>
                        <ci>E_lv_A</ci>
                    </apply>
                    <ci>E_lv_B</ci>
                </apply>
            </apply>
            <!-- Conservation Laws-->
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_ra</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <ci>v_sup_venacava</ci>
                        <ci>v_inf_venacava</ci>
                    </apply>
                    <ci>v_ra</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_rv</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_ra</ci>
                    <ci>v_rv</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_la</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_pulm</ci>
                    <ci>v_la</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_lv</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_la</ci>
                    <ci>v_lv</ci>
                </apply>
            </apply>
        </math>
    </component>
    <!--&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45; Mapping &#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;&#45;//-->
    <connection>
        <map_components component_1="Heart" component_2="aortic_root"/>
        <map_variables variable_1="u_root" variable_2="u_C"/>
        <map_variables variable_1="v_lv" variable_2="v_in"/>
    </connection>
    <connection>
        <map_components component_1="Heart" component_2="Systemic"/>
        <map_variables variable_1="v_sup_venacava" variable_2="v_sup_venacava"/>
        <map_variables variable_1="v_inf_venacava" variable_2="v_inf_venacava"/>
        <map_variables variable_1="u_ra" variable_2="u_ra"/>
    </connection>
    <connection>
        <map_components component_1="Heart" component_2="Pulmonary"/>
        <map_variables variable_1="u_pulm" variable_2="u_pulm"/>
        <map_variables variable_1="v_pulm" variable_2="v_pulm"/>
        <map_variables variable_1="u_la" variable_2="u_la"/>
        <map_variables variable_1="v_rv" variable_2="v_rv"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="Systemic"/>
        <map_variables variable_1="C_svc" variable_2="C_svc"/>
        <map_variables variable_1="C_ivc" variable_2="C_ivc"/>
        <map_variables variable_1="R_svc" variable_2="R_svc"/>
        <map_variables variable_1="R_ivc" variable_2="R_ivc"/>
        <map_variables variable_1="I_svc" variable_2="I_svc"/>
        <map_variables variable_1="I_ivc" variable_2="I_ivc"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Pulmonary" component_2="Pulmonary"/>
        <map_variables variable_1="C_pulm" variable_2="C_pulm"/>
        <map_variables variable_1="R_pulm" variable_2="R_pulm"/>
        <map_variables variable_1="I_pulm" variable_2="I_pulm"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Heart" component_2="Heart"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="t_ac" variable_2="t_ac"/>
        <map_variables variable_1="t_ar" variable_2="t_ar"/>
        <map_variables variable_1="T_ac" variable_2="T_ac"/>
        <map_variables variable_1="T_ar" variable_2="T_ar"/>
        <map_variables variable_1="T_vc" variable_2="T_vc"/>
        <map_variables variable_1="T_vr" variable_2="T_vr"/>
        <map_variables variable_1="CQ_trv" variable_2="CQ_trv"/>
        <map_variables variable_1="CQ_puv" variable_2="CQ_puv"/>
        <map_variables variable_1="CQ_miv" variable_2="CQ_miv"/>
        <map_variables variable_1="CQ_aov" variable_2="CQ_aov"/>
        <map_variables variable_1="E_lv_A" variable_2="E_lv_A"/>
        <map_variables variable_1="E_lv_B" variable_2="E_lv_B"/>
        <map_variables variable_1="E_la_A" variable_2="E_la_A"/>
        <map_variables variable_1="E_la_B" variable_2="E_la_B"/>
        <map_variables variable_1="E_rv_A" variable_2="E_rv_A"/>
        <map_variables variable_1="E_rv_B" variable_2="E_rv_B"/>
        <map_variables variable_1="E_ra_A" variable_2="E_ra_A"/>
        <map_variables variable_1="E_ra_B" variable_2="E_ra_B"/>
        <map_variables variable_1="q_ra_0" variable_2="q_ra_0"/>
        <map_variables variable_1="q_rv_0" variable_2="q_rv_0"/>
        <map_variables variable_1="q_la_0" variable_2="q_la_0"/>
        <map_variables variable_1="q_lv_0" variable_2="q_lv_0"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="Heart"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="Systemic"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="environment" component_2="Pulmonary"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <!-- Terminal -->
    <connection>
        <map_components component_1="Systemic" component_2="right_leg"/>
        <map_variables variable_1="u_ivc" variable_2="u_out"/>
        <map_variables variable_1="v_right_leg" variable_2="v_T"/>
        <map_variables variable_1="alpha" variable_2="alpha"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="left_leg"/>
        <map_variables variable_1="u_ivc" variable_2="u_out"/>
        <map_variables variable_1="v_left_leg" variable_2="v_T"/>
        <map_variables variable_1="alpha" variable_2="alpha"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="right_common_carotid"/>
        <map_variables variable_1="u_svc" variable_2="u_out"/>
        <map_variables variable_1="v_right_common_carotid" variable_2="v_T"/>
        <map_variables variable_1="alpha" variable_2="alpha"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="left_common_carotid"/>
        <map_variables variable_1="u_svc" variable_2="u_out"/>
        <map_variables variable_1="v_left_common_carotid" variable_2="v_T"/>
        <map_variables variable_1="alpha" variable_2="alpha"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="right_arm"/>
        <map_variables variable_1="u_svc" variable_2="u_out"/>
        <map_variables variable_1="v_right_arm" variable_2="v_T"/>
        <map_variables variable_1="alpha" variable_2="alpha"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="left_arm"/>
        <map_variables variable_1="u_svc" variable_2="u_out"/>
        <map_variables variable_1="v_left_arm" variable_2="v_T"/>
        <map_variables variable_1="alpha" variable_2="alpha"/>
    </connection>
    <!-- Map parameters-->
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="aortic_root"/>
        <map_variables variable_1="l_aortic_root" variable_2="l"/>
        <map_variables variable_1="E_aortic_root" variable_2="E"/>
        <map_variables variable_1="r_aortic_root" variable_2="r"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="ascending_aorta"/>
        <map_variables variable_1="l_ascending_aorta" variable_2="l"/>
        <map_variables variable_1="E_ascending_aorta" variable_2="E"/>
        <map_variables variable_1="r_ascending_aorta" variable_2="r"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="aortic_arch_I"/>
        <map_variables variable_1="l_aortic_arch_I" variable_2="l"/>
        <map_variables variable_1="E_aortic_arch_I" variable_2="E"/>
        <map_variables variable_1="r_aortic_arch_I" variable_2="r"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="aortic_arch_II"/>
        <map_variables variable_1="l_aortic_arch_II" variable_2="l"/>
        <map_variables variable_1="E_aortic_arch_II" variable_2="E"/>
        <map_variables variable_1="r_aortic_arch_II" variable_2="r"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="brachiocephalic"/>
        <map_variables variable_1="l_brachiocephalic" variable_2="l"/>
        <map_variables variable_1="E_brachiocephalic" variable_2="E"/>
        <map_variables variable_1="r_brachiocephalic" variable_2="r"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="descending_aorta"/>
        <map_variables variable_1="l_descending_aorta" variable_2="l"/>
        <map_variables variable_1="E_descending_aorta" variable_2="E"/>
        <map_variables variable_1="r_descending_aorta" variable_2="r"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="right_common_carotid"/>
        <map_variables variable_1="l_right_common_carotid" variable_2="l"/>
        <map_variables variable_1="E_right_common_carotid" variable_2="E"/>
        <map_variables variable_1="r_right_common_carotid" variable_2="r"/>
        <map_variables variable_1="R_T_head" variable_2="R_T"/>
        <map_variables variable_1="C_T_head" variable_2="C_T"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="left_common_carotid"/>
        <map_variables variable_1="l_left_common_carotid" variable_2="l"/>
        <map_variables variable_1="E_left_common_carotid" variable_2="E"/>
        <map_variables variable_1="r_left_common_carotid" variable_2="r"/>
        <map_variables variable_1="R_T_head" variable_2="R_T"/>
        <map_variables variable_1="C_T_head" variable_2="C_T"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="right_subclavian"/>
        <map_variables variable_1="l_right_subclavian" variable_2="l"/>
        <map_variables variable_1="E_right_subclavian" variable_2="E"/>
        <map_variables variable_1="r_right_subclavian" variable_2="r"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="left_subclavian"/>
        <map_variables variable_1="l_left_subclavian" variable_2="l"/>
        <map_variables variable_1="E_left_subclavian" variable_2="E"/>
        <map_variables variable_1="r_left_subclavian" variable_2="r"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="right_arm"/>
        <map_variables variable_1="l_right_arm" variable_2="l"/>
        <map_variables variable_1="E_right_arm" variable_2="E"/>
        <map_variables variable_1="r_right_arm" variable_2="r"/>
        <map_variables variable_1="R_T_arm" variable_2="R_T"/>
        <map_variables variable_1="C_T_arm" variable_2="C_T"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="left_arm"/>
        <map_variables variable_1="l_left_arm" variable_2="l"/>
        <map_variables variable_1="E_left_arm" variable_2="E"/>
        <map_variables variable_1="r_left_arm" variable_2="r"/>
        <map_variables variable_1="R_T_arm" variable_2="R_T"/>
        <map_variables variable_1="C_T_arm" variable_2="C_T"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="abdominal_aorta"/>
        <map_variables variable_1="l_abdominal_aorta" variable_2="l"/>
        <map_variables variable_1="E_abdominal_aorta" variable_2="E"/>
        <map_variables variable_1="r_abdominal_aorta" variable_2="r"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="right_leg"/>
        <map_variables variable_1="l_right_leg" variable_2="l"/>
        <map_variables variable_1="E_right_leg" variable_2="E"/>
        <map_variables variable_1="r_right_leg" variable_2="r"/>
        <map_variables variable_1="R_T_leg" variable_2="R_T"/>
        <map_variables variable_1="C_T_leg" variable_2="C_T"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="left_leg"/>
        <map_variables variable_1="l_left_leg" variable_2="l"/>
        <map_variables variable_1="E_left_leg" variable_2="E"/>
        <map_variables variable_1="r_left_leg" variable_2="r"/>
        <map_variables variable_1="R_T_leg" variable_2="R_T"/>
        <map_variables variable_1="C_T_leg" variable_2="C_T"/>
    </connection>
    <!-- Map modules-->
    <connection>
        <map_components component_1="aortic_root" component_2="ascending_aorta"/>
        <map_variables variable_1="v_out" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <connection>
        <map_components component_1="ascending_aorta" component_2="aortic_arch_I"/>
        <map_variables variable_1="v_out_1" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <connection>
        <map_components component_1="ascending_aorta" component_2="brachiocephalic"/>
        <map_variables variable_1="v_out_2" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <connection>
        <map_components component_1="aortic_arch_I" component_2="aortic_arch_II"/>
        <map_variables variable_1="v_out_1" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <connection>
        <map_components component_1="aortic_arch_I" component_2="left_common_carotid"/>
        <map_variables variable_1="v_out_2" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <connection>
        <map_components component_1="aortic_arch_II" component_2="descending_aorta"/>
        <map_variables variable_1="v_out_1" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <connection>
        <map_components component_1="aortic_arch_II" component_2="left_subclavian"/>
        <map_variables variable_1="v_out_2" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <connection>
        <map_components component_1="brachiocephalic" component_2="right_subclavian"/>
        <map_variables variable_1="v_out_1" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <connection>
        <map_components component_1="brachiocephalic" component_2="right_common_carotid"/>
        <map_variables variable_1="v_out_2" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <connection>
        <map_components component_1="right_subclavian" component_2="right_arm"/>
        <map_variables variable_1="v_out" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <connection>
        <map_components component_1="left_subclavian" component_2="left_arm"/>
        <map_variables variable_1="v_out" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <connection>
        <map_components component_1="descending_aorta" component_2="abdominal_aorta"/>
        <map_variables variable_1="v_out" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <connection>
        <map_components component_1="abdominal_aorta" component_2="right_leg"/>
        <map_variables variable_1="v_out_1" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <connection>
        <map_components component_1="abdominal_aorta" component_2="left_leg"/>
        <map_variables variable_1="v_out_2" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
    </connection>
    <!-- Map module and output-->
    <connection>
        <map_components component_1="aortic_root_output" component_2="aortic_root"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="ascending_aorta_output" component_2="ascending_aorta"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="aortic_arch_I_output" component_2="aortic_arch_I"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="aortic_arch_II_output" component_2="aortic_arch_II"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="brachiocephalic_output" component_2="brachiocephalic"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="descending_aorta_output" component_2="descending_aorta"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="right_common_carotid_output" component_2="right_common_carotid"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="left_common_carotid_output" component_2="left_common_carotid"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="right_subclavian_output" component_2="right_subclavian"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="left_subclavian_output" component_2="left_subclavian"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="abdominal_aorta_output" component_2="abdominal_aorta"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="right_arm_output" component_2="right_arm"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="left_arm_output" component_2="left_arm"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="right_leg_output" component_2="right_leg"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <connection>
        <map_components component_1="left_leg_output" component_2="left_leg"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
    </connection>
    <!-- Output-->
    <component name="aortic_root_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="ascending_aorta_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="aortic_arch_I_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="aortic_arch_II_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="brachiocephalic_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="descending_aorta_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="right_common_carotid_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="left_common_carotid_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="right_subclavian_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="left_subclavian_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="abdominal_aorta_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="right_arm_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="left_arm_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="right_leg_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
    <component name="left_leg_output">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
    </component>
</model>