Location: Cardiovascular Circulation @ ccb8b4951703 / baby_adv.cellml

Author:
ssu655 <ssu655@aucklanduni.ac.nz>
Date:
2020-03-12 17:56:24+13:00
Desc:
Added Parameter86v3.cellml which contains different proximal and distal radii for all vessels, taken from Hemolab. It also combined the vessel components that were previously split to modules ABCD
Permanent Source URI:
https://staging.physiomeproject.org/workspace/4ac/rawfile/ccb8b4951703b4d9fbac21a3cdcf5cd0877a9204/baby_adv.cellml

<?xml version='1.0' encoding='UTF-8'?>
<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 xlink:href="Units.cellml">
        <units name="m3" units_ref="m3"/>
        <units name="m2" units_ref="m2"/>
        <units name="m3_per_s" units_ref="m3_per_s"/>
        <units name="m3_per_s2" units_ref="m3_per_s2"/>
        <units name="m6_per_J" units_ref="m6_per_J"/>
        <units name="per_m" units_ref="per_m"/>
        <units name="per_m3" units_ref="per_m3"/>
        <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="Js2_per_m9" units_ref="Js2_per_m9"/>
        <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"/>
        <units name="s2" units_ref="s2"/>
        <units name="s_per_m3" units_ref="s_per_m3"/>
        <units name="mol_per_s" units_ref="mol_per_s"/>
    </import>
    <import xlink:href="Parameters_baby.cellml">
        <component component_ref="Parameters_Systemic" name="Parameters_Systemic"/>
    </import>
    <component name="environment">
        <variable name="time" public_interface="out" units="second"/>
    </component>
    <!--&#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" private_interface="out" public_interface="in" units="second"/>
        <variable name="mt" units="second"/>
        <!-- Constitutive Parameters-->
        <variable initial_value="1.0" name="alpha" private_interface="out" units="dimensionless"/>
        <variable initial_value="1.0" name="T" units="second"/>
        <!-- State Variables-->
        <variable name="v_aov" private_interface="out" units="m3_per_s"/>
        <variable name="v_aux" private_interface="out" units="m3_per_s"/>
        <variable initial_value="1333.2" name="u_ven" private_interface="out" units="J_per_m3"/>
        <variable name="v_descending_aorta" private_interface="in" units="m3_per_s"/>
        <variable name="v_right_common_carotid" private_interface="in" units="m3_per_s"/>
        <variable name="v_left_common_carotid" private_interface="in" units="m3_per_s"/>
        <variable name="v_right_subclavian" private_interface="in" units="m3_per_s"/>
        <variable name="v_left_subclavian" private_interface="in" units="m3_per_s"/>
        <variable name="q_inlet" private_interface="out" units="mole"/>
        <variable initial_value="0.0" name="v_outlet" private_interface="out" units="mol_per_s"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>q_inlet</ci>
                <cn cellml:units="mole">1</cn>
            </apply>
            <!-- Constitutive Relations-->
            <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>v_aov</ci>
                <apply>
                    <divide/>
                    <ci>v_aux</ci>
                    <cn cellml:units="dimensionless">5</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_aux</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <cn cellml:units="m3_per_s" type="e-notation">500.0<sep/>-6</cn>
                            <apply>
                                <sin/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <pi/>
                                        <ci>mt</ci>
                                    </apply>
                                    <cn cellml:units="dimensionless">0.3</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <leq/>
                            <ci>mt</ci>
                            <cn cellml:units="second">0.3</cn>
                        </apply>
                    </piece>
                    <piece>
                        <cn cellml:units="m3_per_s">0.0</cn>
                        <apply>
                            <gt/>
                            <ci>mt</ci>
                            <cn cellml:units="second">0.3</cn>
                        </apply>
                    </piece>
                </piecewise>
            </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="environment" component_2="Systemic"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="aortic_root_module"/>
        <map_variables variable_1="v_aov" variable_2="v_in"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="q_inlet" variable_2="q_in"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="ascending_aorta_module"/>
        <map_variables variable_1="t" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="aortic_arch_I_module"/>
        <map_variables variable_1="t" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="aortic_arch_II_module"/>
        <map_variables variable_1="t" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="brachiocephalic_module"/>
        <map_variables variable_1="t" variable_2="t"/>
    </connection>
    <!-- Terminal -->
    <connection>
        <map_components component_1="Systemic" component_2="descending_aorta_module"/>
        <map_variables variable_1="u_ven" variable_2="u_out"/>
        <map_variables variable_1="v_descending_aorta" variable_2="v_T"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="alpha" variable_2="alpha"/>
        <map_variables variable_1="v_outlet" variable_2="v_conc_out"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="right_common_carotid_module"/>
        <map_variables variable_1="u_ven" variable_2="u_out"/>
        <map_variables variable_1="v_right_common_carotid" variable_2="v_T"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="alpha" variable_2="alpha"/>
        <map_variables variable_1="v_outlet" variable_2="v_conc_out"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="left_common_carotid_module"/>
        <map_variables variable_1="u_ven" variable_2="u_out"/>
        <map_variables variable_1="v_left_common_carotid" variable_2="v_T"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="alpha" variable_2="alpha"/>
        <map_variables variable_1="v_outlet" variable_2="v_conc_out"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="right_subclavian_module"/>
        <map_variables variable_1="u_ven" variable_2="u_out"/>
        <map_variables variable_1="v_right_subclavian" variable_2="v_T"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="alpha" variable_2="alpha"/>
        <map_variables variable_1="v_outlet" variable_2="v_conc_out"/>
    </connection>
    <connection>
        <map_components component_1="Systemic" component_2="left_subclavian_module"/>
        <map_variables variable_1="u_ven" variable_2="u_out"/>
        <map_variables variable_1="v_left_subclavian" variable_2="v_T"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="alpha" variable_2="alpha"/>
        <map_variables variable_1="v_outlet" variable_2="v_conc_out"/>
    </connection>
    <!--/////////////////////////////////////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////// Importing Vessels //////////////////////////////////////////////
/////////////////////////////////////////////////////////////////////////////////////////////////////////////-->
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="vv_adv_type" name="aortic_root_module"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pv_jII_adv_type" name="ascending_aorta_module"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pv_jII_adv_type" name="aortic_arch_I_module"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pv_jII_adv_type" name="aortic_arch_II_module"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pv_jII_adv_type" name="brachiocephalic_module"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pp_BC_adv_type" name="descending_aorta_module"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pp_BC_adv_type" name="right_common_carotid_module"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pp_BC_adv_type" name="left_common_carotid_module"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pp_BC_adv_type" name="right_subclavian_module"/>
    </import>
    <import xlink:href="BG_Modules.cellml">
        <component component_ref="pp_BC_adv_type" name="left_subclavian_module"/>
    </import>
    <!--//////////////////////////////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////// Vessels Output ////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////////////////////////////////-->
    <component name="aortic_root">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
        <variable name="E" public_interface="in" units="J_per_m3"/>
        <variable name="r" public_interface="in" units="metre"/>
        <variable name="h" public_interface="in" units="metre"/>
        <variable name="l" public_interface="in" units="metre"/>
        <variable name="q_conc" public_interface="in" units="mole"/>
        <variable name="v_conc" public_interface="in" units="mol_per_s"/>
    </component>
    <component name="ascending_aorta">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
        <variable name="E" public_interface="in" units="J_per_m3"/>
        <variable name="r" public_interface="in" units="metre"/>
        <variable name="h" public_interface="in" units="metre"/>
        <variable name="l" public_interface="in" units="metre"/>
        <variable name="q_conc" public_interface="in" units="mole"/>
        <variable name="v_conc" public_interface="in" units="mol_per_s"/>
    </component>
    <component name="aortic_arch_I">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
        <variable name="E" public_interface="in" units="J_per_m3"/>
        <variable name="r" public_interface="in" units="metre"/>
        <variable name="h" public_interface="in" units="metre"/>
        <variable name="l" public_interface="in" units="metre"/>
        <variable name="q_conc" public_interface="in" units="mole"/>
        <variable name="v_conc" public_interface="in" units="mol_per_s"/>
    </component>
    <component name="aortic_arch_II">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
        <variable name="E" public_interface="in" units="J_per_m3"/>
        <variable name="r" public_interface="in" units="metre"/>
        <variable name="h" public_interface="in" units="metre"/>
        <variable name="l" public_interface="in" units="metre"/>
        <variable name="q_conc" public_interface="in" units="mole"/>
        <variable name="v_conc" public_interface="in" units="mol_per_s"/>
    </component>
    <component name="brachiocephalic">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
        <variable name="E" public_interface="in" units="J_per_m3"/>
        <variable name="r" public_interface="in" units="metre"/>
        <variable name="h" public_interface="in" units="metre"/>
        <variable name="l" public_interface="in" units="metre"/>
        <variable name="q_conc" public_interface="in" units="mole"/>
        <variable name="v_conc" public_interface="in" units="mol_per_s"/>
    </component>
    <component name="descending_aorta">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
        <variable name="E" public_interface="in" units="J_per_m3"/>
        <variable name="r" public_interface="in" units="metre"/>
        <variable name="h" public_interface="in" units="metre"/>
        <variable name="l" public_interface="in" units="metre"/>
        <variable name="q_conc" public_interface="in" units="mole"/>
        <variable name="v_conc" public_interface="in" units="mol_per_s"/>
    </component>
    <component name="right_common_carotid">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
        <variable name="E" public_interface="in" units="J_per_m3"/>
        <variable name="r" public_interface="in" units="metre"/>
        <variable name="h" public_interface="in" units="metre"/>
        <variable name="l" public_interface="in" units="metre"/>
        <variable name="q_conc" public_interface="in" units="mole"/>
        <variable name="v_conc" public_interface="in" units="mol_per_s"/>
    </component>
    <component name="left_common_carotid">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
        <variable name="E" public_interface="in" units="J_per_m3"/>
        <variable name="r" public_interface="in" units="metre"/>
        <variable name="h" public_interface="in" units="metre"/>
        <variable name="l" public_interface="in" units="metre"/>
        <variable name="q_conc" public_interface="in" units="mole"/>
        <variable name="v_conc" public_interface="in" units="mol_per_s"/>
    </component>
    <component name="right_subclavian">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
        <variable name="E" public_interface="in" units="J_per_m3"/>
        <variable name="r" public_interface="in" units="metre"/>
        <variable name="h" public_interface="in" units="metre"/>
        <variable name="l" public_interface="in" units="metre"/>
        <variable name="q_conc" public_interface="in" units="mole"/>
        <variable name="v_conc" public_interface="in" units="mol_per_s"/>
    </component>
    <component name="left_subclavian">
        <variable name="u" public_interface="in" units="J_per_m3"/>
        <variable name="v" public_interface="in" units="m3_per_s"/>
        <variable name="E" public_interface="in" units="J_per_m3"/>
        <variable name="r" public_interface="in" units="metre"/>
        <variable name="h" public_interface="in" units="metre"/>
        <variable name="l" public_interface="in" units="metre"/>
        <variable name="q_conc" public_interface="in" units="mole"/>
        <variable name="v_conc" public_interface="in" units="mol_per_s"/>
    </component>
    <!--//////////////////////////////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////// Vessels Mapping ///////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////////////////////////////////-->
    <!-- Junctions-->
    <connection>
        <map_components component_1="aortic_root_module" component_2="ascending_aorta_module"/>
        <map_variables variable_1="v_out" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
        <map_variables variable_1="v_conc_out" variable_2="v_conc"/>
        <map_variables variable_1="q" variable_2="q_in"/>
    </connection>
    <connection>
        <map_components component_1="ascending_aorta_module" component_2="aortic_arch_I_module"/>
        <map_variables variable_1="v_out_1" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
        <map_variables variable_1="v_conc_out_1" variable_2="v_conc"/>
        <map_variables variable_1="q" variable_2="q_in"/>
    </connection>
    <connection>
        <map_components component_1="ascending_aorta_module" component_2="brachiocephalic_module"/>
        <map_variables variable_1="v_out_2" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
        <map_variables variable_1="v_conc_out_2" variable_2="v_conc"/>
        <map_variables variable_1="q" variable_2="q_in"/>
    </connection>
    <connection>
        <map_components component_1="brachiocephalic_module" component_2="right_subclavian_module"/>
        <map_variables variable_1="v_out_1" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
        <map_variables variable_1="v_conc_out_1" variable_2="v_conc"/>
        <map_variables variable_1="q" variable_2="q_in"/>
    </connection>
    <connection>
        <map_components component_1="brachiocephalic_module" component_2="right_common_carotid_module"/>
        <map_variables variable_1="v_out_2" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
        <map_variables variable_1="v_conc_out_2" variable_2="v_conc"/>
        <map_variables variable_1="q" variable_2="q_in"/>
    </connection>
    <connection>
        <map_components component_1="aortic_arch_I_module" component_2="left_common_carotid_module"/>
        <map_variables variable_1="v_out_1" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
        <map_variables variable_1="v_conc_out_1" variable_2="v_conc"/>
        <map_variables variable_1="q" variable_2="q_in"/>
    </connection>
    <connection>
        <map_components component_1="aortic_arch_I_module" component_2="aortic_arch_II_module"/>
        <map_variables variable_1="v_out_2" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
        <map_variables variable_1="v_conc_out_2" variable_2="v_conc"/>
        <map_variables variable_1="q" variable_2="q_in"/>
    </connection>
    <connection>
        <map_components component_1="aortic_arch_II_module" component_2="descending_aorta_module"/>
        <map_variables variable_1="v_out_1" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
        <map_variables variable_1="v_conc_out_1" variable_2="v_conc"/>
        <map_variables variable_1="q" variable_2="q_in"/>
    </connection>
    <connection>
        <map_components component_1="aortic_arch_II_module" component_2="left_subclavian_module"/>
        <map_variables variable_1="v_out_2" variable_2="v"/>
        <map_variables variable_1="u" variable_2="u_in"/>
        <map_variables variable_1="v_conc_out_2" variable_2="v_conc"/>
        <map_variables variable_1="q" variable_2="q_in"/>
    </connection>
    <!--//////////////////////////////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////// Output Mapping ////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////////////////////////////////-->
    <connection>
        <map_components component_1="aortic_root" component_2="aortic_root_module"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
        <map_variables variable_1="E" variable_2="E_m"/>
        <map_variables variable_1="r" variable_2="radius"/>
        <map_variables variable_1="h" variable_2="thickness"/>
        <map_variables variable_1="l" variable_2="length"/>
        <map_variables variable_1="v_conc" variable_2="v_conc"/>
        <map_variables variable_1="q_conc" variable_2="q"/>
    </connection>
    <connection>
        <map_components component_1="ascending_aorta" component_2="ascending_aorta_module"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
        <map_variables variable_1="E" variable_2="E_m"/>
        <map_variables variable_1="r" variable_2="radius"/>
        <map_variables variable_1="h" variable_2="thickness"/>
        <map_variables variable_1="l" variable_2="length"/>
        <map_variables variable_1="v_conc" variable_2="v_conc"/>
        <map_variables variable_1="q_conc" variable_2="q"/>
    </connection>
    <connection>
        <map_components component_1="aortic_arch_I" component_2="aortic_arch_I_module"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
        <map_variables variable_1="E" variable_2="E_m"/>
        <map_variables variable_1="r" variable_2="radius"/>
        <map_variables variable_1="h" variable_2="thickness"/>
        <map_variables variable_1="l" variable_2="length"/>
        <map_variables variable_1="v_conc" variable_2="v_conc"/>
        <map_variables variable_1="q_conc" variable_2="q"/>
    </connection>
    <connection>
        <map_components component_1="aortic_arch_II" component_2="aortic_arch_II_module"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
        <map_variables variable_1="E" variable_2="E_m"/>
        <map_variables variable_1="r" variable_2="radius"/>
        <map_variables variable_1="h" variable_2="thickness"/>
        <map_variables variable_1="l" variable_2="length"/>
        <map_variables variable_1="v_conc" variable_2="v_conc"/>
        <map_variables variable_1="q_conc" variable_2="q"/>
    </connection>
    <connection>
        <map_components component_1="brachiocephalic" component_2="brachiocephalic_module"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
        <map_variables variable_1="E" variable_2="E_m"/>
        <map_variables variable_1="r" variable_2="radius"/>
        <map_variables variable_1="h" variable_2="thickness"/>
        <map_variables variable_1="l" variable_2="length"/>
        <map_variables variable_1="v_conc" variable_2="v_conc"/>
        <map_variables variable_1="q_conc" variable_2="q"/>
    </connection>
    <connection>
        <map_components component_1="descending_aorta" component_2="descending_aorta_module"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
        <map_variables variable_1="E" variable_2="E_m"/>
        <map_variables variable_1="r" variable_2="radius"/>
        <map_variables variable_1="h" variable_2="thickness"/>
        <map_variables variable_1="l" variable_2="length"/>
        <map_variables variable_1="v_conc" variable_2="v_conc"/>
        <map_variables variable_1="q_conc" variable_2="q"/>
    </connection>
    <connection>
        <map_components component_1="right_common_carotid" component_2="right_common_carotid_module"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
        <map_variables variable_1="E" variable_2="E_m"/>
        <map_variables variable_1="r" variable_2="radius"/>
        <map_variables variable_1="h" variable_2="thickness"/>
        <map_variables variable_1="l" variable_2="length"/>
        <map_variables variable_1="v_conc" variable_2="v_conc"/>
        <map_variables variable_1="q_conc" variable_2="q"/>
    </connection>
    <connection>
        <map_components component_1="left_common_carotid" component_2="left_common_carotid_module"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
        <map_variables variable_1="E" variable_2="E_m"/>
        <map_variables variable_1="r" variable_2="radius"/>
        <map_variables variable_1="h" variable_2="thickness"/>
        <map_variables variable_1="l" variable_2="length"/>
        <map_variables variable_1="v_conc" variable_2="v_conc"/>
        <map_variables variable_1="q_conc" variable_2="q"/>
    </connection>
    <connection>
        <map_components component_1="right_subclavian" component_2="right_subclavian_module"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
        <map_variables variable_1="E" variable_2="E_m"/>
        <map_variables variable_1="r" variable_2="radius"/>
        <map_variables variable_1="h" variable_2="thickness"/>
        <map_variables variable_1="l" variable_2="length"/>
        <map_variables variable_1="v_conc" variable_2="v_conc"/>
        <map_variables variable_1="q_conc" variable_2="q"/>
    </connection>
    <connection>
        <map_components component_1="left_subclavian" component_2="left_subclavian_module"/>
        <map_variables variable_1="u" variable_2="u"/>
        <map_variables variable_1="v" variable_2="v"/>
        <map_variables variable_1="E" variable_2="E_m"/>
        <map_variables variable_1="r" variable_2="radius"/>
        <map_variables variable_1="h" variable_2="thickness"/>
        <map_variables variable_1="l" variable_2="length"/>
        <map_variables variable_1="v_conc" variable_2="v_conc"/>
        <map_variables variable_1="q_conc" variable_2="q"/>
    </connection>
    <!--//////////////////////////////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////// Parameters Mapping //////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////////////////////////////////-->
    <!-- Aorta-->
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="aortic_root_module"/>
        <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_module"/>
        <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_module"/>
        <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_module"/>
        <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_module"/>
        <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_module"/>
        <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_T_descending_aorta" variable_2="R_T"/>
        <map_variables variable_1="R_T_2_descending_aorta" variable_2="R_T_2"/>
        <map_variables variable_1="C_T_descending_aorta" variable_2="C_T"/>
        <map_variables variable_1="r_descending_aorta" variable_2="r"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="right_common_carotid_module"/>
        <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_T_right_common_carotid" variable_2="R_T"/>
        <map_variables variable_1="R_T_2_right_common_carotid" variable_2="R_T_2"/>
        <map_variables variable_1="C_T_right_common_carotid" variable_2="C_T"/>
        <map_variables variable_1="r_right_common_carotid" variable_2="r"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="left_common_carotid_module"/>
        <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_T_left_common_carotid" variable_2="R_T"/>
        <map_variables variable_1="R_T_2_left_common_carotid" variable_2="R_T_2"/>
        <map_variables variable_1="C_T_left_common_carotid" variable_2="C_T"/>
        <map_variables variable_1="r_left_common_carotid" variable_2="r"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="right_subclavian_module"/>
        <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_T_right_subclavian" variable_2="R_T"/>
        <map_variables variable_1="R_T_2_right_subclavian" variable_2="R_T_2"/>
        <map_variables variable_1="C_T_right_subclavian" variable_2="C_T"/>
        <map_variables variable_1="r_right_subclavian" variable_2="r"/>
    </connection>
    <connection>
        <map_components component_1="Parameters_Systemic" component_2="left_subclavian_module"/>
        <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_T_left_subclavian" variable_2="R_T"/>
        <map_variables variable_1="R_T_2_left_subclavian" variable_2="R_T_2"/>
        <map_variables variable_1="C_T_left_subclavian" variable_2="C_T"/>
        <map_variables variable_1="r_left_subclavian" variable_2="r"/>
    </connection>
    <!--//////////////////////////////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////// Time Mapping /////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////////////////////////////////-->
    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="Systemic">
            <component_ref component="Parameters_Systemic"/>
            <component_ref component="aortic_root_module"/>
            <component_ref component="ascending_aorta_module"/>
            <component_ref component="aortic_arch_I_module"/>
            <component_ref component="aortic_arch_II_module"/>
            <component_ref component="brachiocephalic_module"/>
            <component_ref component="descending_aorta_module"/>
            <component_ref component="right_common_carotid_module"/>
            <component_ref component="left_common_carotid_module"/>
            <component_ref component="right_subclavian_module"/>
            <component_ref component="left_subclavian_module"/>
            <component_ref component="aortic_root"/>
            <component_ref component="ascending_aorta"/>
            <component_ref component="aortic_arch_I"/>
            <component_ref component="aortic_arch_II"/>
            <component_ref component="brachiocephalic"/>
            <component_ref component="descending_aorta"/>
            <component_ref component="right_common_carotid"/>
            <component_ref component="left_common_carotid"/>
            <component_ref component="right_subclavian"/>
            <component_ref component="left_subclavian"/>
        </component_ref>
    </group>
</model>