Location: SERCA_ThreeState @ ceda58a766dd / SERCA_ThreeState.cellml
- Author:
- Andy Lo <alo006@aucklanduni.ac.nz>
- Date:
- 2023-05-29 16:07:16+12:00
- Desc:
- N/A
- Permanent Source URI:
- http://models.cellml.org/workspace/b0d/rawfile/ceda58a766dde562f034eb3f9aecc29a87453e3b/SERCA_ThreeState.cellml
<?xml version='1.0'?>
<model cmeta:id="tran_model_2009" name="tran_model_2009" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<units name="first_order_rate_constant">
<unit exponent="-1" units="second"/>
</units>
<units name="per_second_squared">
<unit exponent="-2" units="second"/>
</units>
<units name="millimolar">
<unit prefix="milli" units="mole"/>
<unit exponent="-1" units="litre"/>
</units>
<units name="flux">
<unit units="millimolar"/>
<unit exponent="-1" units="second"/>
</units>
<units name="millimolar_squared">
<unit exponent="2" units="millimolar"/>
</units>
<units name="second_order_rate_constant">
<unit exponent="-1" units="millimolar"/>
<unit exponent="-1" units="second"/>
</units>
<component name="environment">
<variable cmeta:id="environment_time" name="time" public_interface="out" units="second"/>
</component>
<component name="SERCA">
<variable initial_value="25900" name="k_p1" units="second_order_rate_constant"/>
<variable initial_value="2540" name="k_p2" units="first_order_rate_constant"/>
<variable initial_value="20.5" name="k_p3" units="first_order_rate_constant"/>
<variable initial_value="2" name="k_m1" units="first_order_rate_constant"/>
<variable initial_value="67200" name="k_m2" units="second_order_rate_constant"/>
<variable initial_value="149" name="k_m3" units="second_order_rate_constant"/>
<variable initial_value="0.9" name="kdcai" units="millimolar"/>
<variable initial_value="2.24" name="kdcasr" units="millimolar"/>
<variable initial_value="1.09e-5" name="kdh1" units="millimolar"/>
<variable initial_value="3.54e-3" name="kdhi" units="millimolar_squared"/>
<variable initial_value="1.05e-8" name="kdhsr" units="millimolar_squared"/>
<variable initial_value="7.24e-5" name="kdh" units="millimolar"/>
<variable initial_value="2" name="n" units="dimensionless"/>
<variable cmeta:id="SERCA_Ca_i" initial_value="150e-6" name="Ca_i" units="millimolar"/>
<variable cmeta:id="SERCA_Ca_sr" initial_value="0" name="Ca_sr" units="millimolar"/>
<variable cmeta:id="SERCA_H_i" initial_value="1e-4" name="H_i" units="millimolar"/>
<variable cmeta:id="SERCA_ATP" initial_value="0.1" name="ATP" units="millimolar"/>
<variable cmeta:id="SERCA_ADP" initial_value="36.3e-3" name="ADP" units="millimolar"/>
<variable cmeta:id="SERCA_P_i" initial_value="15" name="P_i" units="millimolar"/>
<variable name="T_Cai" units="dimensionless"/>
<variable name="T_Casr" units="dimensionless"/>
<variable name="T_H1" units="dimensionless"/>
<variable name="T_Hi" units="dimensionless"/>
<variable name="T_Hsr" units="dimensionless"/>
<variable name="T_H" units="dimensionless"/>
<variable cmeta:id="SERCA_a_p1" name="a_p1" units="first_order_rate_constant"/>
<variable name="a_p2" units="first_order_rate_constant"/>
<variable name="a_p3" units="first_order_rate_constant"/>
<variable name="a_m1" units="first_order_rate_constant"/>
<variable name="a_m2" units="first_order_rate_constant"/>
<variable name="a_m3" units="first_order_rate_constant"/>
<variable name="s1" units="per_second_squared"/>
<variable name="s2" units="per_second_squared"/>
<variable name="s3" units="per_second_squared"/>
<variable name="v_cycle" units="first_order_rate_constant"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>T_Cai</ci>
<apply>
<divide/>
<ci>Ca_i</ci>
<ci>kdcai</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>T_Casr</ci>
<apply>
<divide/>
<ci>Ca_sr</ci>
<ci>kdcasr</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>T_H1</ci>
<apply>
<divide/>
<ci>H_i</ci>
<ci>kdh1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>T_Hi</ci>
<apply>
<divide/>
<apply>
<power/>
<ci>H_i</ci>
<ci>n</ci>
</apply>
<ci>kdhi</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>T_Hsr</ci>
<apply>
<divide/>
<apply>
<power/>
<ci>H_i</ci>
<ci>n</ci>
</apply>
<ci>kdhsr</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>T_H</ci>
<apply>
<divide/>
<ci>H_i</ci>
<ci>kdh</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>a_p1</ci>
<apply>
<times/>
<ci>k_p1</ci>
<ci>ATP</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>a_p2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>k_p2</ci>
<apply>
<power/>
<ci>T_Cai</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>T_Cai</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>T_Cai</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>T_Hi</ci>
</apply>
<apply>
<times/>
<ci>T_Hi</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>T_H1</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>a_p3</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>k_p3</ci>
<ci>T_Hsr</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<power/>
<ci>T_Casr</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>T_H</ci>
</apply>
<ci>T_H</ci>
<apply>
<times/>
<ci>T_Hsr</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>T_H</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>a_m1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>k_m1</ci>
<ci>T_Hi</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>T_Cai</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>T_Cai</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>T_Hi</ci>
</apply>
<apply>
<times/>
<ci>T_Hi</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>T_H1</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>a_m2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>k_m2</ci>
<ci>ADP</ci>
<apply>
<power/>
<ci>T_Casr</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>T_H</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<power/>
<ci>T_Casr</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>T_H</ci>
</apply>
<ci>T_H</ci>
<apply>
<times/>
<ci>T_Hsr</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>T_H</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>a_m3</ci>
<apply>
<times/>
<ci>k_m3</ci>
<ci>P_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>s1</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>a_p2</ci>
<ci>a_p3</ci>
</apply>
<apply>
<times/>
<ci>a_m1</ci>
<ci>a_p3</ci>
</apply>
<apply>
<times/>
<ci>a_m1</ci>
<ci>a_m2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>s2</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>a_p1</ci>
<ci>a_p3</ci>
</apply>
<apply>
<times/>
<ci>a_m2</ci>
<ci>a_p1</ci>
</apply>
<apply>
<times/>
<ci>a_m2</ci>
<ci>a_m3</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>s3</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>a_p1</ci>
<ci>a_p2</ci>
</apply>
<apply>
<times/>
<ci>a_m3</ci>
<ci>a_m1</ci>
</apply>
<apply>
<times/>
<ci>a_m3</ci>
<ci>a_p2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_cycle</ci>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>a_p1</ci>
<ci>a_p2</ci>
<ci>a_p3</ci>
</apply>
<apply>
<times/>
<ci>a_m1</ci>
<ci>a_m2</ci>
<ci>a_m3</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>s1</ci>
<ci>s2</ci>
<ci>s3</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_sr</ci>
</apply>
<cn cellml:units="flux">1.0</cn>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="SERCA"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
</model>