main_ADAN-218_original_2_0.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="CardiovascularSystem" xmlns="http://www.cellml.org/cellml/2.0#" xmlns:cellml="http://www.cellml.org/cellml/2.0#">
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    <units name="J_per_s">
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    <units name="J_per_m3_s">
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    <units name="Js_per_mol2">
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        <unit exponent="-3" units="metre"/>
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        <unit exponent="-1" units="litre"/>
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        <unit exponent="-1" units="litre"/>
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    <units name="uM">
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        <unit units="kilogram"/>
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        <unit exponent="-1" units="mole"/>
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        <unit exponent="-1" units="second"/>
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        <unit exponent="-1" units="mole"/>
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    <units name="J_per_mol_K">
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        <unit exponent="-1" units="mole"/>
        <unit exponent="-1" units="kelvin"/>
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        <unit exponent="-1" units="second"/>
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        <unit exponent="-1" units="mM"/>
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        <unit units="joule"/>
        <unit exponent="-2" units="metre"/>
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        <unit units="radian"/>
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        <unit units="joule"/>
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        <unit exponent="-3" units="metre"/>
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        <unit exponent="2" units="second"/>
        <unit exponent="-5" units="metre"/>
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        <unit exponent="-6" units="metre"/>
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        <unit exponent="-1" units="joule"/>
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        <unit exponent="2" units="second"/>
        <unit exponent="-6" units="metre"/>
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        <unit exponent="3" units="metre"/>
        <unit exponent="-2" units="second"/>
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        <unit prefix="giga" units="joule"/>
        <unit exponent="-3" units="metre"/>
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        <unit units="second"/>
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        <unit exponent="-5" units="metre"/>
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    <units name="eJ_per_m6">
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        <unit exponent="-1" units="joule"/>
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        <unit exponent="-6" units="metre"/>
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        <unit exponent="-9" units="metre"/>
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    <units name="UnitValve">
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        <unit exponent="-3" units="metre"/>
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    <component name="environment">
        <variable interface="public" name="time" units="second"/>
    </component>
    <component name="Systemic">
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        <variable interface="public" name="C_svn" units="m6_per_J"/>
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        <variable name="e_a" units="dimensionless"/>
        <variable name="e_v" units="dimensionless"/>
        <variable interface="public" name="T" units="second"/>
        <variable interface="public" name="t_ac" units="dimensionless"/>
        <variable interface="public" name="t_ar" units="dimensionless"/>
        <variable interface="public" name="T_ac" units="dimensionless"/>
        <variable interface="public" name="T_ar" units="dimensionless"/>
        <variable interface="public" name="T_vc" units="dimensionless"/>
        <variable interface="public" name="T_vr" units="dimensionless"/>
        <variable interface="public" name="CQ_trv" units="UnitValve"/>
        <variable interface="public" name="CQ_puv" units="UnitValve"/>
        <variable interface="public" name="CQ_miv" units="UnitValve"/>
        <variable interface="public" name="CQ_aov" units="UnitValve"/>
        <variable interface="public" name="E_lv_A" units="J_per_m6"/>
        <variable interface="public" name="E_lv_B" units="J_per_m6"/>
        <variable interface="public" name="E_la_A" units="J_per_m6"/>
        <variable interface="public" name="E_la_B" units="J_per_m6"/>
        <variable interface="public" name="E_rv_A" units="J_per_m6"/>
        <variable interface="public" name="E_rv_B" units="J_per_m6"/>
        <variable interface="public" name="E_ra_A" units="J_per_m6"/>
        <variable interface="public" name="E_ra_B" units="J_per_m6"/>
        <variable interface="public" name="q_ra_0" units="m3"/>
        <variable interface="public" name="q_rv_0" units="m3"/>
        <variable interface="public" name="q_la_0" units="m3"/>
        <variable interface="public" name="q_lv_0" units="m3"/>
        <variable interface="public" name="u_ra" units="J_per_m3"/>
        <variable name="u_rv" units="J_per_m3"/>
        <variable interface="public" name="u_la" units="J_per_m3"/>
        <variable name="u_lv" units="J_per_m3"/>
        <variable interface="public" name="u_root" units="J_per_m3"/>
        <variable interface="public" name="u_par" units="J_per_m3"/>
        <variable name="v_ra" units="m3_per_s"/>
        <variable interface="public" name="v_rv" units="m3_per_s"/>
        <variable name="v_la" units="m3_per_s"/>
        <variable interface="public" name="v_lv" units="m3_per_s"/>
        <variable interface="public" name="v_sup_venacava" units="m3_per_s"/>
        <variable interface="public" name="v_inf_venacava" units="m3_per_s"/>
        <variable interface="public" name="v_pvn" units="m3_per_s"/>
        <variable initial_value="20.0e-6" name="q_ra" units="m3"/>
        <variable initial_value="500.0e-6" name="q_rv" units="m3"/>
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        <variable initial_value="500.0e-6" name="q_lv" units="m3"/>
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                                                    <ci>mt</ci>
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                                                    <times/>
                                                    <ci>t_ar</ci>
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                            <and/>
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                                <geq/>
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                                <leq/>
                                <ci>mt</ci>
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                                        <times/>
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                                            <plus/>
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                            <and/>
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                                            <plus/>
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                            <apply>
                                <leq/>
                                <ci>mt</ci>
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                                    <times/>
                                    <ci>t_ac</ci>
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                            <times/>
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                                    <cos/>
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                                            <pi/>
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                                                    <times/>
                                                    <ci>t_ac</ci>
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                                            <times/>
                                            <ci>T_ac</ci>
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                            <and/>
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                                <gt/>
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                                    <times/>
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                                <ci>mt</ci>
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                                    <times/>
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                                        <plus/>
                                        <ci>t_ac</ci>
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                                            <pi/>
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                                                <ci>mt</ci>
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                                                    <times/>
                                                    <ci>t_ar</ci>
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                                            <times/>
                                            <ci>T_ar</ci>
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                        <apply>
                            <and/>
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                                <gt/>
                                <ci>mt</ci>
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                                    <times/>
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                                        <plus/>
                                        <ci>t_ac</ci>
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                                <leq/>
                                <ci>mt</ci>
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                <ci>e_v</ci>
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                    <piece>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.5</cn>
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                                            <times/>
                                            <ci>T_vc</ci>
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                            </apply>
                        </apply>
                        <apply>
                            <and/>
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                                <geq/>
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                                <leq/>
                                <ci>mt</ci>
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                                    <times/>
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                                                    <times/>
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                                            <times/>
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                                </apply>
                            </apply>
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                            <and/>
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                                <gt/>
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                                    <times/>
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                                <leq/>
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                                    <times/>
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                            <and/>
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                                <gt/>
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                                        <plus/>
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                                <lt/>
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                    </piece>
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                <eq/>
                <ci>v_ra</ci>
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                    <piece>
                        <apply>
                            <times/>
                            <ci>CQ_trv</ci>
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                                <root/>
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                                    <minus/>
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                        </apply>
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                            <geq/>
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                            <ci>u_rv</ci>
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                    </piece>
                    <piece>
                        <cn cellml:units="m3_per_s">0</cn>
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                            <lt/>
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                <eq/>
                <ci>v_rv</ci>
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                    <piece>
                        <apply>
                            <times/>
                            <ci>CQ_puv</ci>
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                                <root/>
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                                    <minus/>
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                            </apply>
                        </apply>
                        <apply>
                            <geq/>
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                    <piece>
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                    <piece>
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                            <times/>
                            <ci>CQ_miv</ci>
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                                <root/>
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                        </apply>
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                            <geq/>
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                            <ci>u_lv</ci>
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                    <piece>
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                    <piece>
                        <apply>
                            <times/>
                            <ci>CQ_aov</ci>
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                                <root/>
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                                    <minus/>
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                <eq/>
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                    <times/>
                    <apply>
                        <plus/>
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                            <times/>
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                        <minus/>
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                        <ci>q_ra_0</ci>
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                <eq/>
                <ci>u_rv</ci>
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                    <times/>
                    <apply>
                        <plus/>
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                            <times/>
                            <ci>e_v</ci>
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                        <minus/>
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                <eq/>
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                    <times/>
                    <apply>
                        <plus/>
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                            <times/>
                            <ci>e_a</ci>
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                        <minus/>
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                <eq/>
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                    <times/>
                    <apply>
                        <plus/>
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                            <times/>
                            <ci>e_v</ci>
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                <eq/>
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                        <plus/>
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                <eq/>
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                <eq/>
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                    <diff/>
                    <bvar>
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                <eq/>
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                    <bvar>
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                    <minus/>
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        <variable interface="public" name="v" units="m3_per_s"/>
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        <variable interface="public" name="u" units="J_per_m3"/>
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        <variable interface="public" name="u" units="J_per_m3"/>
        <variable interface="public" name="v" units="m3_per_s"/>
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        <variable interface="public" name="v" units="m3_per_s"/>
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        <variable interface="public" name="v" units="m3_per_s"/>
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                            <minus/>
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                        <plus/>
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                <ci>h</ci>
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                    <times/>
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                        <plus/>
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                            <times/>
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                                    <times/>
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                            <times/>
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                        <times/>
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                        <times/>
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                        <times/>
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                        <ci>mu</ci>
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                        <minus/>
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                    <times/>
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                        <plus/>
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                                    <times/>
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                        <times/>
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                        <minus/>
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                <ci>h</ci>
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                        <plus/>
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                            <times/>
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                                    <times/>
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                <ci>E_m</ci>
                <ci>E</ci>
            </apply>
            <apply>
                <eq/>
                <ci>radius</ci>
                <ci>r</ci>
            </apply>
            <apply>
                <eq/>
                <ci>thickness</ci>
                <ci>h</ci>
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            <apply>
                <eq/>
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                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v</ci>
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                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>u_in</ci>
                            <ci>u</ci>
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                        <apply>
                            <times/>
                            <ci>R</ci>
                            <ci>v</ci>
                        </apply>
                    </apply>
                    <ci>I</ci>
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            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>u_C</ci>
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                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>v</ci>
                            <ci>v_out_1</ci>
                        </apply>
                        <ci>v_out_2</ci>
                    </apply>
                    <ci>C</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u</ci>
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                    <plus/>
                    <ci>u_C</ci>
                    <apply>
                        <times/>
                        <ci>R_v</ci>
                        <apply>
                            <minus/>
                            <apply>
                                <minus/>
                                <ci>v</ci>
                                <ci>v_out_1</ci>
                            </apply>
                            <ci>v_out_2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="internal_iliac_T1_L196_module">
        <variable interface="public" name="t" units="second"/>
        <variable initial_value="0.004" name="mu" units="J_s_per_m3"/>
        <variable initial_value="1050" name="rho" units="J_s2_per_m5"/>
        <variable interface="public" name="E" units="J_per_m3"/>
        <variable interface="public" name="E_m" units="J_per_m3"/>
        <variable interface="public" name="l" units="metre"/>
        <variable interface="public" name="length" units="metre"/>
        <variable interface="public" name="h" units="metre"/>
        <variable interface="public" name="thickness" units="metre"/>
        <variable interface="public" name="r" units="metre"/>
        <variable interface="public" name="radius" units="metre"/>
        <variable interface="public" name="I" units="J_s2_per_m6"/>
        <variable interface="public" name="I_e" units="J_s2_per_m6"/>
        <variable interface="public" name="C" units="m6_per_J"/>
        <variable interface="public" name="R" units="J_s_per_m6"/>
        <variable interface="public" name="R_v" units="J_s_per_m6"/>
        <variable interface="public" name="R_T" units="J_s_per_m6"/>
        <variable interface="public" name="R_T_2" units="J_s_per_m6"/>
        <variable interface="public" name="C_T" units="m6_per_J"/>
        <variable initial_value="0.2802" name="a" units="dimensionless"/>
        <variable initial_value="-505.3" name="b" units="per_m"/>
        <variable initial_value="0.1324" name="c" units="dimensionless"/>
        <variable initial_value="-11.14" name="d" units="per_m"/>
        <variable interface="public" name="alpha" units="dimensionless"/>
        <variable interface="public" name="u_in" units="J_per_m3"/>
        <variable initial_value="0.0" interface="public" name="v" units="m3_per_s"/>
        <variable interface="public" name="u" units="J_per_m3"/>
        <variable initial_value="0.0" interface="public" name="u_C" units="J_per_m3"/>
        <variable initial_value="0.0" interface="public" name="u_T" units="J_per_m3"/>
        <variable initial_value="0.0" interface="public" name="v_T" units="m3_per_s"/>
        <variable interface="public" name="u_out" units="J_per_m3"/>
        <math cellml:xmlns="http://www.w3.org/1998/Math/MathML" xmlns="http://www.w3.org/1998/Math/MathML">
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                <ci>h</ci>
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                    <ci>r</ci>
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                        <plus/>
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                            <times/>
                            <ci>a</ci>
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                                <exp/>
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                                    <times/>
                                    <ci>b</ci>
                                    <ci>r</ci>
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                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>c</ci>
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                                <exp/>
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                                    <times/>
                                    <ci>d</ci>
                                    <ci>r</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
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                <ci>I</ci>
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                    <divide/>
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                        <times/>
                        <ci>rho</ci>
                        <ci>l</ci>
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                    <apply>
                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
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            <apply>
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                <ci>I_e</ci>
                <apply>
                    <times/>
                    <ci>I</ci>
                    <cn cellml:type="e-notation" cellml:units="dimensionless">1<sep/>-6</cn>
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                <ci>C</ci>
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                    <divide/>
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                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r</ci>
                            <cn cellml:units="dimensionless">3</cn>
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                        <ci>l</ci>
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                    <apply>
                        <times/>
                        <ci>E</ci>
                        <ci>h</ci>
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            <apply>
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                <ci>R</ci>
                <apply>
                    <divide/>
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                        <times/>
                        <cn cellml:units="dimensionless">8</cn>
                        <ci>mu</ci>
                        <ci>l</ci>
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                        <times/>
                        <pi/>
                        <apply>
                            <power/>
                            <ci>r</ci>
                            <cn cellml:units="dimensionless">4</cn>
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