Location: Cardiovascular Circulation @ 9a2327d9b4a2 / Mynard_Smolich_myocardium.cellml
- Author:
- ssaf006 <ssaf006@aucklanduni.ac.nz>
- Date:
- 2019-07-15 19:25:29+12:00
- Desc:
- adding new module
- Permanent Source URI:
- http://models.cellml.org/workspace/4ac/rawfile/9a2327d9b4a260b43d918bd39f7c94cb94e3c21e/Mynard_Smolich_myocardium.cellml
<?xml version='1.0'?>
<model name="Mynard_Smolich_myocardium" 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="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="J_per_m3" units_ref="J_per_m3"/>
<units name="J_per_m3_s" units_ref="J_per_m3_s"/>
<units name="J_s_per_m6" units_ref="J_s_per_m6"/>
<units name="J_s2_per_m6" units_ref="J_s2_per_m6"/>
<units name="J_s2_per_m5" units_ref="J_s2_per_m5"/>
<units name="J_per_s" units_ref="J_per_s"/>
<units name="J_per_m6" units_ref="J_per_m6"/>
<units name="J_s_per_m3" units_ref="J_s_per_m3"/>
<units name="UnitValve" units_ref="UnitValve"/>
</import>
<component name="main">
<variable name="t" public_interface="in" units="second"/>
<!-- Input pressures-->
<variable name="P_in" public_interface="in" units="J_per_m3"/>
<!--{init: 13300, pub: in};-->
<variable initial_value="6500" name="P_LV" units="J_per_m3"/>
<variable initial_value="0" name="dPdT" units="J_per_m3_s"/>
<variable initial_value="0" name="P_RA" units="J_per_m3"/>
<!-- Computed intratissue pressures definitions-->
<variable name="P_im1" units="J_per_m3"/>
<variable name="P_im2" units="J_per_m3"/>
<variable name="P_im3" units="J_per_m3"/>
<variable name="dPim1_dt" units="J_per_m3_s"/>
<variable name="dPim2_dt" units="J_per_m3_s"/>
<variable name="dPim3_dt" units="J_per_m3_s"/>
<!-- Parameters-->
<variable initial_value="3.2503e-12" name="C_PA" units="m6_per_J"/>
<variable initial_value="2.6664e8" name="L_PA" units="J_s2_per_m6"/>
<variable initial_value="5.3328e8" name="R_PA" units="J_s_per_m6"/>
<variable initial_value="2.6664e8" name="R_PV" units="J_s_per_m6"/>
<variable initial_value="6.3506e-11" name="C_PV" units="m6_per_J"/>
<variable initial_value="5.8661e+09" name="R0m" units="J_s_per_m6"/>
<variable initial_value="7.0393e+09" name="R01" units="J_s_per_m6"/>
<variable initial_value="2.9330e+09" name="R02" units="J_s_per_m6"/>
<variable initial_value="2.7778e-07" name="V01" units="m3"/>
<variable initial_value="8.8889e-07" name="V02" units="m3"/>
<variable initial_value="1.0834e-11" name="C1" units="m6_per_J"/>
<variable initial_value="2.1169e-10" name="C2" units="m6_per_J"/>
<variable initial_value="0.75" name="gamma" units="dimensionless"/>
<variable initial_value="0.55" name="cf1" units="dimensionless"/>
<variable initial_value="1.28" name="rf1" units="dimensionless"/>
<variable initial_value="0.68" name="cf2" units="dimensionless"/>
<variable initial_value="1.12" name="rf2" units="dimensionless"/>
<!-- State variables definitions-->
<variable initial_value="100" name="P_PA" public_interface="out" units="J_per_m3"/>
<variable initial_value="0" name="Q_PA" public_interface="out" units="m3_per_s"/>
<variable initial_value="100" name="P11" units="J_per_m3"/>
<variable initial_value="100" name="P21" units="J_per_m3"/>
<variable initial_value="100" name="P12" units="J_per_m3"/>
<variable initial_value="100" name="P22" units="J_per_m3"/>
<variable initial_value="100" name="P13" units="J_per_m3"/>
<variable initial_value="100" name="P23" units="J_per_m3"/>
<variable initial_value="100" name="P_PV" units="J_per_m3"/>
<!-- Intermediate variables definitions-->
<variable name="V11" units="m3"/>
<variable name="V21" units="m3"/>
<variable name="R11" units="J_s_per_m6"/>
<variable name="R21" units="J_s_per_m6"/>
<variable name="Rm1" units="J_s_per_m6"/>
<variable name="Q11" units="m3_per_s"/>
<variable name="Qm1" units="m3_per_s"/>
<variable name="Q21" units="m3_per_s"/>
<variable name="V12" units="m3"/>
<variable name="V22" units="m3"/>
<variable name="R12" units="J_s_per_m6"/>
<variable name="R22" units="J_s_per_m6"/>
<variable name="Rm2" units="J_s_per_m6"/>
<variable name="Q12" units="m3_per_s"/>
<variable name="Qm2" units="m3_per_s"/>
<variable name="Q22" units="m3_per_s"/>
<variable name="V13" units="m3"/>
<variable name="V23" units="m3"/>
<variable name="R13" units="J_s_per_m6"/>
<variable name="R23" units="J_s_per_m6"/>
<variable name="Rm3" units="J_s_per_m6"/>
<variable name="Q13" units="m3_per_s"/>
<variable name="Qm3" units="m3_per_s"/>
<variable name="Q23" units="m3_per_s"/>
<variable name="Q_ima" units="m3_per_s"/>
<variable name="Q_imv" units="m3_per_s"/>
<variable name="Q_out" units="m3_per_s"/>
<!-- Computed intratissue pressures calculations-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>P_im1</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.2</cn>
<cn cellml:units="dimensionless">0.167</cn>
<ci>P_LV</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>P_im2</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.2</cn>
<cn cellml:units="dimensionless">0.500</cn>
<ci>P_LV</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>P_im3</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.2</cn>
<cn cellml:units="dimensionless">0.833</cn>
<ci>P_LV</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>dPim1_dt</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.2</cn>
<cn cellml:units="dimensionless">0.167</cn>
<ci>dPdT</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>dPim2_dt</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.2</cn>
<cn cellml:units="dimensionless">0.500</cn>
<ci>dPdT</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>dPim3_dt</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.2</cn>
<cn cellml:units="dimensionless">0.833</cn>
<ci>dPdT</ci>
</apply>
</apply>
<!-- Intermediate variables calculations-->
<apply>
<eq/>
<ci>V11</ci>
<apply>
<times/>
<ci>cf1</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>P11</ci>
<ci>P_im1</ci>
</apply>
<ci>C1</ci>
</apply>
<ci>V01</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>V21</ci>
<apply>
<times/>
<ci>cf1</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>P21</ci>
<ci>P_im1</ci>
</apply>
<ci>C2</ci>
</apply>
<ci>V02</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>R11</ci>
<apply>
<times/>
<ci>rf1</ci>
<ci>R01</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>V01</ci>
<ci>V11</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>R21</ci>
<apply>
<times/>
<ci>rf1</ci>
<ci>R02</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>V02</ci>
<ci>V21</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Rm1</ci>
<apply>
<times/>
<ci>R0m</ci>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci>gamma</ci>
<ci>R11</ci>
</apply>
<ci>R01</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>gamma</ci>
</apply>
<ci>R21</ci>
</apply>
<ci>R02</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Q11</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>P_PA</ci>
<ci>P11</ci>
</apply>
<ci>R11</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Qm1</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>P11</ci>
<ci>P21</ci>
</apply>
<ci>Rm1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Q21</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>P21</ci>
<ci>P_PV</ci>
</apply>
<ci>R21</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>V12</ci>
<apply>
<times/>
<ci>cf2</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>P12</ci>
<ci>P_im2</ci>
</apply>
<ci>C1</ci>
</apply>
<ci>V01</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>V22</ci>
<apply>
<times/>
<ci>cf2</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>P22</ci>
<ci>P_im2</ci>
</apply>
<ci>C2</ci>
</apply>
<ci>V02</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>R12</ci>
<apply>
<times/>
<ci>rf2</ci>
<ci>R01</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>V01</ci>
<ci>V12</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>R22</ci>
<apply>
<times/>
<ci>rf2</ci>
<ci>R02</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>V02</ci>
<ci>V22</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Rm2</ci>
<apply>
<times/>
<ci>R0m</ci>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci>gamma</ci>
<ci>R12</ci>
</apply>
<ci>R01</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>gamma</ci>
</apply>
<ci>R22</ci>
</apply>
<ci>R02</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Q12</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>P_PA</ci>
<ci>P12</ci>
</apply>
<ci>R12</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Qm2</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>P12</ci>
<ci>P22</ci>
</apply>
<ci>Rm2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Q22</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>P22</ci>
<ci>P_PV</ci>
</apply>
<ci>R22</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>V13</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>P13</ci>
<ci>P_im3</ci>
</apply>
<ci>C1</ci>
</apply>
<ci>V01</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>V23</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>P23</ci>
<ci>P_im3</ci>
</apply>
<ci>C2</ci>
</apply>
<ci>V02</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>R13</ci>
<apply>
<times/>
<ci>R01</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>V01</ci>
<ci>V13</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>R23</ci>
<apply>
<times/>
<ci>R02</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>V02</ci>
<ci>V23</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Rm3</ci>
<apply>
<times/>
<ci>R0m</ci>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci>gamma</ci>
<ci>R13</ci>
</apply>
<ci>R01</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>gamma</ci>
</apply>
<ci>R23</ci>
</apply>
<ci>R02</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Q13</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>P_PA</ci>
<ci>P13</ci>
</apply>
<ci>R13</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Qm3</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>P13</ci>
<ci>P23</ci>
</apply>
<ci>Rm3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Q23</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>P23</ci>
<ci>P_PV</ci>
</apply>
<ci>R23</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Q_ima</ci>
<apply>
<plus/>
<ci>Q11</ci>
<ci>Q12</ci>
<ci>Q13</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Q_imv</ci>
<apply>
<plus/>
<ci>Q21</ci>
<ci>Q22</ci>
<ci>Q23</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Q_out</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>P_PV</ci>
<ci>P_RA</ci>
</apply>
<ci>R_PV</ci>
</apply>
</apply>
<!-- These are the ODEs -->
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>P_PA</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>Q_PA</ci>
<ci>Q_ima</ci>
</apply>
<ci>C_PA</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Q_PA</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>P_in</ci>
<ci>P_PA</ci>
</apply>
<apply>
<times/>
<ci>Q_PA</ci>
<ci>R_PA</ci>
</apply>
</apply>
<ci>L_PA</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>P11</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<minus/>
<ci>Q11</ci>
<ci>Qm1</ci>
</apply>
<apply>
<times/>
<ci>cf1</ci>
<ci>C1</ci>
</apply>
</apply>
<ci>dPim1_dt</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>P21</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<minus/>
<ci>Qm1</ci>
<ci>Q21</ci>
</apply>
<apply>
<times/>
<ci>cf1</ci>
<ci>C2</ci>
</apply>
</apply>
<ci>dPim1_dt</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>P12</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<minus/>
<ci>Q12</ci>
<ci>Qm2</ci>
</apply>
<apply>
<times/>
<ci>cf2</ci>
<ci>C1</ci>
</apply>
</apply>
<ci>dPim2_dt</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>P22</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<minus/>
<ci>Qm2</ci>
<ci>Q22</ci>
</apply>
<apply>
<times/>
<ci>cf2</ci>
<ci>C2</ci>
</apply>
</apply>
<ci>dPim2_dt</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>P13</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<minus/>
<ci>Q13</ci>
<ci>Qm3</ci>
</apply>
<ci>C1</ci>
</apply>
<ci>dPim3_dt</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>P23</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<minus/>
<ci>Qm3</ci>
<ci>Q23</ci>
</apply>
<ci>C2</ci>
</apply>
<ci>dPim3_dt</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>P_PV</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>Q_imv</ci>
<ci>Q_out</ci>
</apply>
<ci>C_PV</ci>
</apply>
</apply>
</math>
</component>
</model>