Location: FTU Heart @ e1a23a38b70b / main_cv7_diodeValves.cellml
- Author:
- Soroush <ssaf006@aucklanduni.ac.nz>
- Date:
- 2021-11-23 12:47:07+13:00
- Desc:
- minor change
- Permanent Source URI:
- https://models.cellml.org/workspace/70b/rawfile/e1a23a38b70b72e2080e990995ba85f8c120e848/main_cv7_diodeValves.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="L_per_s" units_ref="L_per_s"/>
<units name="L_per_s2" units_ref="L_per_s2"/>
<units name="L2_per_J" units_ref="L2_per_J"/>
<units name="J_per_L" units_ref="J_per_L"/>
<units name="Js_per_L2" units_ref="Js_per_L2"/>
<units name="Js2_per_L2" units_ref="Js2_per_L2"/>
<units name="J_per_s" units_ref="J_per_s"/>
<units name="per_s_L" units_ref="per_s_L"/>
<units name="per_s" units_ref="per_s"/>
<units name="per_s2" units_ref="per_s2"/>
<units name="per_s2_p" units_ref="per_s2_p"/>
<units name="J_per_L2" units_ref="J_per_L2"/>
<units name="Js_per_L" units_ref="Js_per_L"/>
<units name="UnitValve" units_ref="UnitValve"/>
</import>
<import xlink:href="Parameters_cv7.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>
<component name="environment">
<variable name="time" public_interface="out" units="second"/>
</component>
<!-------------- Systemic Circulation ------------//-->
<component name="Systemic">
<variable name="t" private_interface="out" public_interface="in" units="second"/>
<!-- Constitutive Parameters-->
<variable name="C_AA" private_interface="in" units="L2_per_J"/>
<variable name="C_CB" private_interface="in" units="L2_per_J"/>
<variable name="C_VC" private_interface="in" units="L2_per_J"/>
<variable name="R_AA" private_interface="in" units="Js_per_L2"/>
<variable name="R_CB" private_interface="in" units="Js_per_L2"/>
<variable name="R_VC" private_interface="in" units="Js_per_L2"/>
<variable name="I_AA" private_interface="in" units="Js2_per_L2"/>
<variable name="I_CB" private_interface="in" units="Js2_per_L2"/>
<!-- State Variables-->
<variable name="v_AV" public_interface="in" units="L_per_s"/>
<variable name="u_RA" public_interface="in" units="J_per_L"/>
<variable initial_value="0" name="u_AA" public_interface="out" units="J_per_L"/>
<variable initial_value="0" name="u_CB" units="J_per_L"/>
<variable initial_value="0.0" name="u_VC" units="J_per_L"/>
<variable initial_value="0.0" name="v_AA" units="L_per_s"/>
<variable initial_value="0.0" name="v_CB" units="L_per_s"/>
<variable name="v_VC" public_interface="out" units="L_per_s"/>
<!-- Constitutive Relations-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>u_AA</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>v_AV</ci>
<ci>v_AA</ci>
</apply>
<ci>C_AA</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>u_CB</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>v_AA</ci>
<ci>v_CB</ci>
</apply>
<ci>C_CB</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>u_VC</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>v_CB</ci>
<ci>v_VC</ci>
</apply>
<ci>C_VC</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>v_AA</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>u_AA</ci>
<ci>u_CB</ci>
</apply>
<apply>
<times/>
<ci>v_AA</ci>
<ci>R_AA</ci>
</apply>
</apply>
<ci>I_AA</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>v_CB</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>u_CB</ci>
<ci>u_VC</ci>
</apply>
<apply>
<times/>
<ci>v_CB</ci>
<ci>R_CB</ci>
</apply>
</apply>
<ci>I_CB</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_VC</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>u_VC</ci>
<ci>u_RA</ci>
</apply>
<ci>R_VC</ci>
</apply>
</apply>
</math>
</component>
<!-------------- Pulmonary Circulation ------------//-->
<component name="Pulmonary">
<variable name="t" public_interface="in" units="second"/>
<!-- Constitutive Parameters-->
<variable name="C_PA" private_interface="in" units="L2_per_J"/>
<variable name="C_PC" private_interface="in" units="L2_per_J"/>
<variable name="C_PVs" private_interface="in" units="L2_per_J"/>
<variable name="R_PA" private_interface="in" units="Js_per_L2"/>
<variable name="R_PC" private_interface="in" units="Js_per_L2"/>
<variable name="R_PVs" private_interface="in" units="Js_per_L2"/>
<variable name="I_PA" private_interface="in" units="Js2_per_L2"/>
<variable name="I_PC" private_interface="in" units="Js2_per_L2"/>
<!-- State Variables-->
<variable name="v_PV" public_interface="in" units="L_per_s"/>
<variable name="u_LA" public_interface="in" units="J_per_L"/>
<variable initial_value="4.0" name="u_PA" public_interface="out" units="J_per_L"/>
<variable initial_value="4.0" name="u_PC" units="J_per_L"/>
<variable initial_value="0.0" name="u_PVs" units="J_per_L"/>
<variable initial_value="0.0" name="v_PA" units="L_per_s"/>
<variable initial_value="0.0" name="v_PC" units="L_per_s"/>
<variable name="v_PVs" public_interface="out" units="L_per_s"/>
<!-- Constitutive Relations-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>u_PA</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>v_PV</ci>
<ci>v_PA</ci>
</apply>
<ci>C_PA</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>u_PC</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>v_PA</ci>
<ci>v_PC</ci>
</apply>
<ci>C_PC</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>u_PVs</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>v_PC</ci>
<ci>v_PVs</ci>
</apply>
<ci>C_PVs</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>v_PA</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>u_PA</ci>
<ci>u_PC</ci>
</apply>
<apply>
<times/>
<ci>v_PA</ci>
<ci>R_PA</ci>
</apply>
</apply>
<ci>I_PA</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>v_PC</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>u_PC</ci>
<ci>u_PVs</ci>
</apply>
<apply>
<times/>
<ci>v_PC</ci>
<ci>R_PC</ci>
</apply>
</apply>
<ci>I_PC</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_PVs</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>u_PVs</ci>
<ci>u_LA</ci>
</apply>
<ci>R_PVs</ci>
</apply>
</apply>
</math>
</component>
<!-------------- Heart ------------//-->
<component name="Heart">
<variable name="t" public_interface="in" units="second"/>
<!-- Constitutive Parameters-->
<variable name="mt" units="second"/>
<variable name="mta" units="second"/>
<variable name="T" private_interface="in" units="second"/>
<variable name="CQ_TV" private_interface="in" units="UnitValve"/>
<variable name="CQ_PV" private_interface="in" units="UnitValve"/>
<variable name="CQ_MV" private_interface="in" units="UnitValve"/>
<variable name="CQ_AV" private_interface="in" units="UnitValve"/>
<variable name="q_RA_0" private_interface="in" units="litre"/>
<variable name="q_RV_0" private_interface="in" units="litre"/>
<variable name="q_LA_0" private_interface="in" units="litre"/>
<variable name="q_LV_0" private_interface="in" units="litre"/>
<variable name="E_LV_max" private_interface="in" units="J_per_L2"/>
<variable name="E_LV_min" private_interface="in" units="J_per_L2"/>
<variable name="E_LA_max" private_interface="in" units="J_per_L2"/>
<variable name="E_LA_min" private_interface="in" units="J_per_L2"/>
<variable name="E_RV_max" private_interface="in" units="J_per_L2"/>
<variable name="E_RV_min" private_interface="in" units="J_per_L2"/>
<variable name="E_RA_max" private_interface="in" units="J_per_L2"/>
<variable name="E_RA_min" private_interface="in" units="J_per_L2"/>
<variable name="tau_1_LV" private_interface="in" units="dimensionless"/>
<variable name="tau_2_LV" private_interface="in" units="dimensionless"/>
<variable name="tau_1_LA" private_interface="in" units="dimensionless"/>
<variable name="tau_2_LA" private_interface="in" units="dimensionless"/>
<variable name="tau_1_RV" private_interface="in" units="dimensionless"/>
<variable name="tau_2_RV" private_interface="in" units="dimensionless"/>
<variable name="tau_1_RA" private_interface="in" units="dimensionless"/>
<variable name="tau_2_RA" private_interface="in" units="dimensionless"/>
<variable name="m_1_LV" private_interface="in" units="dimensionless"/>
<variable name="m_2_LV" private_interface="in" units="dimensionless"/>
<variable name="m_1_LA" private_interface="in" units="dimensionless"/>
<variable name="m_2_LA" private_interface="in" units="dimensionless"/>
<variable name="m_1_RV" private_interface="in" units="dimensionless"/>
<variable name="m_2_RV" private_interface="in" units="dimensionless"/>
<variable name="m_1_RA" private_interface="in" units="dimensionless"/>
<variable name="m_2_RA" private_interface="in" units="dimensionless"/>
<variable name="g_1_LV" units="dimensionless"/>
<variable name="g_2_LV" units="dimensionless"/>
<variable name="g_1_LA" units="dimensionless"/>
<variable name="g_2_LA" units="dimensionless"/>
<variable name="g_1_RV" units="dimensionless"/>
<variable name="g_2_RV" units="dimensionless"/>
<variable name="g_1_RA" units="dimensionless"/>
<variable name="g_2_RA" units="dimensionless"/>
<variable name="t_onset_a" private_interface="in" units="dimensionless"/>
<variable name="E_LV" units="J_per_L2"/>
<variable name="E_LA" units="J_per_L2"/>
<variable name="E_RV" units="J_per_L2"/>
<variable name="E_RA" units="J_per_L2"/>
<variable name="H_LA" units="dimensionless"/>
<variable name="H_LV" units="dimensionless"/>
<variable name="H_RA" units="dimensionless"/>
<variable name="H_RV" units="dimensionless"/>
<!-- State Variables-->
<variable name="AR_TV" units="dimensionless"/>
<variable name="AR_PV" units="dimensionless"/>
<variable name="AR_MV" units="dimensionless"/>
<variable name="AR_AV" units="dimensionless"/>
<variable name="u_RA" public_interface="out" units="J_per_L"/>
<variable name="u_RV" units="J_per_L"/>
<variable name="u_LA" public_interface="out" units="J_per_L"/>
<variable initial_value="0.0" name="u_LV" units="J_per_L"/>
<variable name="u_AA" public_interface="in" units="J_per_L"/>
<variable name="u_PA" public_interface="in" units="J_per_L"/>
<variable name="v_TV" units="L_per_s"/>
<variable name="v_PV" public_interface="out" units="L_per_s"/>
<variable name="v_MV" units="L_per_s"/>
<variable name="v_AV" public_interface="out" units="L_per_s"/>
<variable name="v_VC" public_interface="in" units="L_per_s"/>
<variable name="v_PVs" public_interface="in" units="L_per_s"/>
<variable initial_value="0.1" name="q_LV" units="litre"/>
<variable initial_value="0.1" name="q_RV" units="litre"/>
<variable initial_value="0.01" name="q_LA" units="litre"/>
<variable initial_value="0.01" name="q_RA" units="litre"/>
<variable name="To" units="J_per_L"/>
<variable initial_value="0.1" name="To_pk" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>H_LV</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>tau_1_LV</ci>
<ci>tau_2_LV</ci>
</apply>
<apply>
<plus/>
<ci>tau_1_LV</ci>
<ci>tau_1_LV</ci>
</apply>
</apply>
<ci>m_1_LV</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>tau_1_LV</ci>
<ci>tau_2_LV</ci>
</apply>
<apply>
<plus/>
<ci>tau_1_LV</ci>
<ci>tau_1_LV</ci>
</apply>
</apply>
<ci>m_1_LV</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>tau_1_LV</ci>
<ci>tau_2_LV</ci>
</apply>
<apply>
<plus/>
<ci>tau_2_LV</ci>
<ci>tau_2_LV</ci>
</apply>
</apply>
<ci>m_2_LV</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>H_LA</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>tau_1_LA</ci>
<ci>tau_2_LA</ci>
</apply>
<apply>
<plus/>
<ci>tau_1_LA</ci>
<ci>tau_1_LA</ci>
</apply>
</apply>
<ci>m_1_LA</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>tau_1_LA</ci>
<ci>tau_2_LA</ci>
</apply>
<apply>
<plus/>
<ci>tau_1_LA</ci>
<ci>tau_1_LA</ci>
</apply>
</apply>
<ci>m_1_LA</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>tau_1_LA</ci>
<ci>tau_2_LA</ci>
</apply>
<apply>
<plus/>
<ci>tau_2_LA</ci>
<ci>tau_2_LA</ci>
</apply>
</apply>
<ci>m_2_LA</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>H_RV</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>tau_1_RV</ci>
<ci>tau_2_RV</ci>
</apply>
<apply>
<plus/>
<ci>tau_1_RV</ci>
<ci>tau_1_RV</ci>
</apply>
</apply>
<ci>m_1_RV</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>tau_1_RV</ci>
<ci>tau_2_RV</ci>
</apply>
<apply>
<plus/>
<ci>tau_1_RV</ci>
<ci>tau_1_RV</ci>
</apply>
</apply>
<ci>m_1_RV</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>tau_1_RV</ci>
<ci>tau_2_RV</ci>
</apply>
<apply>
<plus/>
<ci>tau_2_RV</ci>
<ci>tau_2_RV</ci>
</apply>
</apply>
<ci>m_2_RV</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>H_RA</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>tau_1_RA</ci>
<ci>tau_2_RA</ci>
</apply>
<apply>
<plus/>
<ci>tau_1_RA</ci>
<ci>tau_1_RA</ci>
</apply>
</apply>
<ci>m_1_RA</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>tau_1_RA</ci>
<ci>tau_2_RA</ci>
</apply>
<apply>
<plus/>
<ci>tau_1_RA</ci>
<ci>tau_1_RA</ci>
</apply>
</apply>
<ci>m_1_RA</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>tau_1_RA</ci>
<ci>tau_2_RA</ci>
</apply>
<apply>
<plus/>
<ci>tau_2_RA</ci>
<ci>tau_2_RA</ci>
</apply>
</apply>
<ci>m_2_RA</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_LV</ci>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>E_LV_max</ci>
<ci>E_LV_min</ci>
</apply>
<ci>g_1_LV</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>g_1_LV</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<ci>g_2_LV</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>H_LV</ci>
</apply>
</apply>
<ci>E_LV_min</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>g_1_LV</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>mt</ci>
<apply>
<times/>
<ci>tau_1_LV</ci>
<ci>T</ci>
</apply>
</apply>
<ci>m_1_LV</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>g_2_LV</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>mt</ci>
<apply>
<times/>
<ci>tau_2_LV</ci>
<ci>T</ci>
</apply>
</apply>
<ci>m_2_LV</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>E_LA</ci>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>E_LA_max</ci>
<ci>E_LA_min</ci>
</apply>
<ci>g_1_LA</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>g_1_LA</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<ci>g_2_LA</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>H_LA</ci>
</apply>
</apply>
<ci>E_LA_min</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>g_1_LA</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>mta</ci>
<apply>
<times/>
<ci>tau_1_LA</ci>
<ci>T</ci>
</apply>
</apply>
<ci>m_1_LA</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>g_2_LA</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>mta</ci>
<apply>
<times/>
<ci>tau_2_LA</ci>
<ci>T</ci>
</apply>
</apply>
<ci>m_2_LA</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>E_RV</ci>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>E_RV_max</ci>
<ci>E_RV_min</ci>
</apply>
<ci>g_1_RV</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>g_1_RV</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<ci>g_2_RV</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>H_RV</ci>
</apply>
</apply>
<ci>E_RV_min</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>g_1_RV</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>mt</ci>
<apply>
<times/>
<ci>tau_1_RV</ci>
<ci>T</ci>
</apply>
</apply>
<ci>m_1_RV</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>g_2_RV</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>mt</ci>
<apply>
<times/>
<ci>tau_2_RV</ci>
<ci>T</ci>
</apply>
</apply>
<ci>m_2_RV</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>E_RA</ci>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>E_RA_max</ci>
<ci>E_RA_min</ci>
</apply>
<ci>g_1_RA</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>g_1_RA</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<ci>g_2_RA</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>H_RA</ci>
</apply>
</apply>
<ci>E_RA_min</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>g_1_RA</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>mta</ci>
<apply>
<times/>
<ci>tau_1_RA</ci>
<ci>T</ci>
</apply>
</apply>
<ci>m_1_RA</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>g_2_RA</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>mta</ci>
<apply>
<times/>
<ci>tau_2_RA</ci>
<ci>T</ci>
</apply>
</apply>
<ci>m_2_RA</ci>
</apply>
</apply>
<!-- Elastance Functions-->
<apply>
<eq/>
<ci>To</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">20</cn>
<apply>
<exp/>
<cn cellml:units="dimensionless">0.5</cn>
</apply>
<ci>mt</ci>
</apply>
<ci>To_pk</ci>
</apply>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.5</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<ci>mt</ci>
<ci>To_pk</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<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>mta</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>t</ci>
<apply>
<times/>
<ci>t_onset_a</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<times/>
<ci>T</ci>
<apply>
<floor/>
<apply>
<divide/>
<apply>
<minus/>
<ci>t</ci>
<apply>
<times/>
<ci>t_onset_a</ci>
<ci>T</ci>
</apply>
</apply>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<!-- Constitutive Relations-->
<apply>
<eq/>
<ci>AR_TV</ci>
<piecewise>
<piece>
<cn cellml:units="dimensionless">1</cn>
<apply>
<geq/>
<ci>u_RA</ci>
<ci>u_RV</ci>
</apply>
</piece>
<piece>
<cn cellml:units="dimensionless">0</cn>
<apply>
<lt/>
<ci>u_RA</ci>
<ci>u_RV</ci>
</apply>
</piece>
</piecewise>
</apply>
<apply>
<eq/>
<ci>AR_PV</ci>
<piecewise>
<piece>
<cn cellml:units="dimensionless">1</cn>
<apply>
<geq/>
<ci>u_RV</ci>
<ci>u_PA</ci>
</apply>
</piece>
<piece>
<cn cellml:units="dimensionless">0</cn>
<apply>
<lt/>
<ci>u_RV</ci>
<ci>u_PA</ci>
</apply>
</piece>
</piecewise>
</apply>
<apply>
<eq/>
<ci>AR_MV</ci>
<piecewise>
<piece>
<cn cellml:units="dimensionless">1</cn>
<apply>
<geq/>
<ci>u_LA</ci>
<ci>u_LV</ci>
</apply>
</piece>
<piece>
<cn cellml:units="dimensionless">0</cn>
<apply>
<lt/>
<ci>u_LA</ci>
<ci>u_LV</ci>
</apply>
</piece>
</piecewise>
</apply>
<apply>
<eq/>
<ci>AR_AV</ci>
<piecewise>
<piece>
<cn cellml:units="dimensionless">1</cn>
<apply>
<geq/>
<ci>u_LV</ci>
<ci>u_AA</ci>
</apply>
</piece>
<piece>
<cn cellml:units="dimensionless">0</cn>
<apply>
<lt/>
<ci>u_LV</ci>
<ci>u_AA</ci>
</apply>
</piece>
</piecewise>
</apply>
<apply>
<eq/>
<ci>v_TV</ci>
<piecewise>
<piece>
<apply>
<times/>
<ci>CQ_TV</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="L_per_s">0</cn>
<apply>
<lt/>
<ci>u_RA</ci>
<ci>u_RV</ci>
</apply>
</piece>
</piecewise>
</apply>
<apply>
<eq/>
<ci>v_PV</ci>
<piecewise>
<piece>
<apply>
<times/>
<ci>CQ_PV</ci>
<apply>
<root/>
<apply>
<minus/>
<ci>u_RV</ci>
<ci>u_PA</ci>
</apply>
</apply>
</apply>
<apply>
<geq/>
<ci>u_RV</ci>
<ci>u_PA</ci>
</apply>
</piece>
<piece>
<cn cellml:units="L_per_s">0</cn>
<apply>
<lt/>
<ci>u_RV</ci>
<ci>u_PA</ci>
</apply>
</piece>
</piecewise>
</apply>
<apply>
<eq/>
<ci>v_MV</ci>
<piecewise>
<piece>
<apply>
<times/>
<ci>CQ_MV</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="L_per_s">0</cn>
<apply>
<lt/>
<ci>u_LA</ci>
<ci>u_LV</ci>
</apply>
</piece>
</piecewise>
</apply>
<apply>
<eq/>
<ci>v_AV</ci>
<piecewise>
<piece>
<apply>
<times/>
<ci>CQ_AV</ci>
<apply>
<root/>
<apply>
<minus/>
<ci>u_LV</ci>
<ci>u_AA</ci>
</apply>
</apply>
</apply>
<apply>
<geq/>
<ci>u_LV</ci>
<ci>u_AA</ci>
</apply>
</piece>
<piece>
<cn cellml:units="L_per_s">0</cn>
<apply>
<lt/>
<ci>u_LV</ci>
<ci>u_AA</ci>
</apply>
</piece>
</piecewise>
</apply>
<apply>
<eq/>
<ci>u_RA</ci>
<apply>
<times/>
<ci>E_RA</ci>
<apply>
<minus/>
<ci>q_RA</ci>
<ci>q_RA_0</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_RV</ci>
<apply>
<times/>
<ci>E_RV</ci>
<apply>
<minus/>
<ci>q_RV</ci>
<ci>q_RV_0</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_LA</ci>
<apply>
<times/>
<ci>E_LA</ci>
<apply>
<minus/>
<ci>q_LA</ci>
<ci>q_LA_0</ci>
</apply>
</apply>
</apply>
<!-- u_LV = E_LV*(q_LV-q_LV_0);-->
<!-- Conservation Laws-->
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_RA</ci>
</apply>
<apply>
<minus/>
<ci>v_VC</ci>
<ci>v_TV</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_RV</ci>
</apply>
<apply>
<minus/>
<ci>v_TV</ci>
<ci>v_PV</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_LA</ci>
</apply>
<apply>
<minus/>
<ci>v_PVs</ci>
<ci>v_MV</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_LV</ci>
</apply>
<apply>
<minus/>
<ci>v_MV</ci>
<ci>v_AV</ci>
</apply>
</apply>
</math>
</component>
<!-------------- Mapping ------------//-->
<connection>
<map_components component_1="Heart" component_2="Systemic"/>
<map_variables variable_1="v_VC" variable_2="v_VC"/>
<map_variables variable_1="u_RA" variable_2="u_RA"/>
<map_variables variable_1="u_AA" variable_2="u_AA"/>
<map_variables variable_1="v_AV" variable_2="v_AV"/>
</connection>
<connection>
<map_components component_1="Heart" component_2="Pulmonary"/>
<map_variables variable_1="u_PA" variable_2="u_PA"/>
<map_variables variable_1="v_PVs" variable_2="v_PVs"/>
<map_variables variable_1="u_LA" variable_2="u_LA"/>
<map_variables variable_1="v_PV" variable_2="v_PV"/>
</connection>
<connection>
<map_components component_1="Parameters_Systemic" component_2="Systemic"/>
<map_variables variable_1="C_AA" variable_2="C_AA"/>
<map_variables variable_1="C_CB" variable_2="C_CB"/>
<map_variables variable_1="C_VC" variable_2="C_VC"/>
<map_variables variable_1="R_AA" variable_2="R_AA"/>
<map_variables variable_1="R_CB" variable_2="R_CB"/>
<map_variables variable_1="R_VC" variable_2="R_VC"/>
<map_variables variable_1="I_AA" variable_2="I_AA"/>
<map_variables variable_1="I_CB" variable_2="I_CB"/>
</connection>
<connection>
<map_components component_1="Parameters_Pulmonary" component_2="Pulmonary"/>
<map_variables variable_1="C_PA" variable_2="C_PA"/>
<map_variables variable_1="C_PC" variable_2="C_PC"/>
<map_variables variable_1="C_PVs" variable_2="C_PVs"/>
<map_variables variable_1="R_PA" variable_2="R_PA"/>
<map_variables variable_1="R_PC" variable_2="R_PC"/>
<map_variables variable_1="R_PVs" variable_2="R_PVs"/>
<map_variables variable_1="I_PA" variable_2="I_PA"/>
<map_variables variable_1="I_PC" variable_2="I_PC"/>
</connection>
<connection>
<map_components component_1="Parameters_Heart" component_2="Heart"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="CQ_TV" variable_2="CQ_TV"/>
<map_variables variable_1="CQ_PV" variable_2="CQ_PV"/>
<map_variables variable_1="CQ_MV" variable_2="CQ_MV"/>
<map_variables variable_1="CQ_AV" variable_2="CQ_AV"/>
<map_variables variable_1="E_LV_max" variable_2="E_LV_max"/>
<map_variables variable_1="E_LV_min" variable_2="E_LV_min"/>
<map_variables variable_1="E_LA_max" variable_2="E_LA_max"/>
<map_variables variable_1="E_LA_min" variable_2="E_LA_min"/>
<map_variables variable_1="E_RV_max" variable_2="E_RV_max"/>
<map_variables variable_1="E_RV_min" variable_2="E_RV_min"/>
<map_variables variable_1="E_RA_max" variable_2="E_RA_max"/>
<map_variables variable_1="E_RA_min" variable_2="E_RA_min"/>
<map_variables variable_1="tau_1_LV" variable_2="tau_1_LV"/>
<map_variables variable_1="tau_2_LV" variable_2="tau_2_LV"/>
<map_variables variable_1="tau_1_LA" variable_2="tau_1_LA"/>
<map_variables variable_1="tau_2_LA" variable_2="tau_2_LA"/>
<map_variables variable_1="tau_1_RV" variable_2="tau_1_RV"/>
<map_variables variable_1="tau_2_RV" variable_2="tau_2_RV"/>
<map_variables variable_1="tau_1_RA" variable_2="tau_1_RA"/>
<map_variables variable_1="tau_2_RA" variable_2="tau_2_RA"/>
<map_variables variable_1="m_1_LV" variable_2="m_1_LV"/>
<map_variables variable_1="m_2_LV" variable_2="m_2_LV"/>
<map_variables variable_1="m_1_LA" variable_2="m_1_LA"/>
<map_variables variable_1="m_2_LA" variable_2="m_2_LA"/>
<map_variables variable_1="m_1_RV" variable_2="m_1_RV"/>
<map_variables variable_1="m_2_RV" variable_2="m_2_RV"/>
<map_variables variable_1="m_1_RA" variable_2="m_1_RA"/>
<map_variables variable_1="m_2_RA" variable_2="m_2_RA"/>
<map_variables variable_1="t_onset_a" variable_2="t_onset_a"/>
<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>
<!--//////////////////////////////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////// Time Mapping /////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////////////////////////////////-->
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="Heart">
<component_ref component="Parameters_Heart"/>
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="Pulmonary">
<component_ref component="Parameters_Pulmonary"/>
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="Systemic">
<component_ref component="Parameters_Systemic"/>
</component_ref>
</group>
</model>