Location: BG_SERCA @ e96c27f1b302 / BG_SERCA.cellml
- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2021-10-29 14:48:28+13:00
- Desc:
- Separating kinetic_parameters function into its own file
- Permanent Source URI:
- https://models.cellml.org/workspace/7a5/rawfile/e96c27f1b302227b68a47a8072f07a7048dabc3f/BG_SERCA.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!-- SERCA model adapted from Pan et al https://arxiv.org/abs/1806.04341-->
<model name="BG_SERCA" 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_and_constants/units_BG.cellml">
<units name="mM" units_ref="mM"/>
<units name="fmol" units_ref="fmol"/>
<units name="per_fmol" units_ref="per_fmol"/>
<units name="J_per_mol" units_ref="J_per_mol"/>
<units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
<units name="fmol_per_sec" units_ref="fmol_per_sec"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<units name="pL" units_ref="pL"/>
</import>
<import xlink:href="units_and_constants/constants_BG.cellml">
<component component_ref="constants" name="constants"/>
</import>
<component name="environment">
<variable name="t" public_interface="out" units="second"/>
</component>
<component name="SERCA">
<!-- Physical parameters-->
<variable name="t" public_interface="in" units="second"/>
<variable name="R" public_interface="in" units="J_per_K_per_mol"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<!-- Bond graph parameters-->
<variable initial_value="5263.6085" name="K_1" units="per_fmol"/>
<variable initial_value="410.6048" name="K_10" units="per_fmol"/>
<variable initial_value="3803.6518" name="K_2" units="per_fmol"/>
<variable initial_value="3110.4445" name="K_2a" units="per_fmol"/>
<variable initial_value="16520516.1239" name="K_4" units="per_fmol"/>
<variable initial_value="0.82914" name="K_5" units="per_fmol"/>
<variable initial_value="993148.433" name="K_6" units="per_fmol"/>
<variable initial_value="37.7379" name="K_8" units="per_fmol"/>
<variable initial_value="2230.2717" name="K_9" units="per_fmol"/>
<variable initial_value="1.9058" name="K_Ca_i" units="per_fmol"/>
<variable initial_value="31.764" name="K_Ca_SR" units="per_fmol"/>
<variable initial_value="1862.5406" name="K_H" units="per_fmol"/>
<variable initial_value="5.8126e-07" name="K_MgADP" units="per_fmol"/>
<variable initial_value="244.3021" name="K_MgATP" units="per_fmol"/>
<variable initial_value="0.014921" name="K_P" units="per_fmol"/>
<variable initial_value="0.049926" name="kappa_101" units="fmol_per_sec"/>
<variable initial_value="0.00053004" name="kappa_12" units="fmol_per_sec"/>
<variable initial_value="8326784.0537" name="kappa_22a" units="fmol_per_sec"/>
<variable initial_value="1567.7476" name="kappa_24" units="fmol_per_sec"/>
<variable initial_value="1567.7476" name="kappa_45" units="fmol_per_sec"/>
<variable initial_value="3063.4006" name="kappa_56" units="fmol_per_sec"/>
<variable initial_value="130852.3839" name="kappa_68" units="fmol_per_sec"/>
<variable initial_value="11612934.8748" name="kappa_89" units="fmol_per_sec"/>
<variable initial_value="11612934.8748" name="kappa_910" units="fmol_per_sec"/>
<variable initial_value="2" name="n_Ca_i" units="dimensionless"/>
<variable initial_value="2" name="n_Ca_SR" units="dimensionless"/>
<variable initial_value="2" name="n_H" units="dimensionless"/>
<!-- States (and initial conditions)-->
<variable initial_value="0.0057" name="x_Ca_i" units="fmol"/>
<variable initial_value="2.28" name="x_Ca_SR" units="fmol"/>
<variable initial_value="0.004028" name="x_H" units="fmol"/>
<variable initial_value="1.3794" name="x_MgADP" units="fmol"/>
<variable initial_value="3.8" name="x_MgATP" units="fmol"/>
<variable initial_value="0.11111" name="x_P1" units="fmol"/>
<variable initial_value="570" name="x_Pi" units="fmol"/>
<variable initial_value="0.11111" name="x_P2" units="fmol"/>
<variable initial_value="0.11111" name="x_P2a" units="fmol"/>
<variable initial_value="0.11111" name="x_P4" units="fmol"/>
<variable initial_value="0.11111" name="x_P5" units="fmol"/>
<variable initial_value="0.11111" name="x_P10" units="fmol"/>
<variable initial_value="0.11111" name="x_P6" units="fmol"/>
<variable initial_value="0.11111" name="x_P8" units="fmol"/>
<variable initial_value="0.11111" name="x_P9" units="fmol"/>
<!-- Concentrations-->
<variable name="c_Ca_i" units="mM"/>
<variable name="c_Ca_SR" units="mM"/>
<variable name="c_H" units="mM"/>
<variable name="c_MgADP" units="mM"/>
<variable name="c_MgATP" units="mM"/>
<variable name="c_Pi" units="mM"/>
<variable initial_value="34.0" name="vol_i" units="pL"/>
<variable name="vol_sr" units="pL"/>
<variable name="vol_isr" units="pL"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>vol_sr</ci>
<apply>
<times/>
<ci>vol_i</ci>
<cn cellml:units="dimensionless">0.035</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>vol_isr</ci>
<apply>
<plus/>
<ci>vol_i</ci>
<ci>vol_sr</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_Ca_i</ci>
<apply>
<divide/>
<ci>x_Ca_i</ci>
<ci>vol_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_Ca_SR</ci>
<apply>
<divide/>
<ci>x_Ca_SR</ci>
<ci>vol_sr</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_H</ci>
<apply>
<divide/>
<ci>x_H</ci>
<ci>vol_isr</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_MgADP</ci>
<apply>
<divide/>
<ci>x_MgADP</ci>
<ci>vol_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_MgATP</ci>
<apply>
<divide/>
<ci>x_MgATP</ci>
<ci>vol_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_Pi</ci>
<apply>
<divide/>
<ci>x_Pi</ci>
<ci>vol_i</ci>
</apply>
</apply>
</math>
<!-- Constitutive equations-->
<variable name="mu_Ca_i" units="J_per_mol"/>
<variable name="v_Ca_i" units="fmol_per_sec"/>
<variable name="mu_Ca_SR" units="J_per_mol"/>
<variable name="v_Ca_SR" units="fmol_per_sec"/>
<variable name="mu_H" units="J_per_mol"/>
<variable name="v_H" units="fmol_per_sec"/>
<variable name="mu_MgADP" units="J_per_mol"/>
<variable name="v_MgADP" units="fmol_per_sec"/>
<variable name="mu_MgATP" units="J_per_mol"/>
<variable name="v_MgATP" units="fmol_per_sec"/>
<variable name="mu_P1" units="J_per_mol"/>
<variable name="v_P1" units="fmol_per_sec"/>
<variable name="mu_Pi" units="J_per_mol"/>
<variable name="v_Pi" units="fmol_per_sec"/>
<variable name="mu_P2" units="J_per_mol"/>
<variable name="v_P2" units="fmol_per_sec"/>
<variable name="mu_P2a" units="J_per_mol"/>
<variable name="v_P2a" units="fmol_per_sec"/>
<variable name="mu_P4" units="J_per_mol"/>
<variable name="v_P4" units="fmol_per_sec"/>
<variable name="mu_P5" units="J_per_mol"/>
<variable name="v_P5" units="fmol_per_sec"/>
<variable name="mu_P6" units="J_per_mol"/>
<variable name="v_P6" units="fmol_per_sec"/>
<variable name="mu_P8" units="J_per_mol"/>
<variable name="v_P8" units="fmol_per_sec"/>
<variable name="mu_P9" units="J_per_mol"/>
<variable name="v_P9" units="fmol_per_sec"/>
<variable name="mu_P10" units="J_per_mol"/>
<variable name="v_P10" units="fmol_per_sec"/>
<variable name="Af_R1_2" units="J_per_mol"/>
<variable name="Ar_R1_2" units="J_per_mol"/>
<variable name="v_R1_2" units="fmol_per_sec"/>
<variable name="Af_R5_6" units="J_per_mol"/>
<variable name="Ar_R5_6" units="J_per_mol"/>
<variable name="v_R5_6" units="fmol_per_sec"/>
<variable name="Af_R2_2a" units="J_per_mol"/>
<variable name="Ar_R2_2a" units="J_per_mol"/>
<variable name="v_R2_2a" units="fmol_per_sec"/>
<variable name="Af_R2_4" units="J_per_mol"/>
<variable name="Ar_R2_4" units="J_per_mol"/>
<variable name="v_R2_4" units="fmol_per_sec"/>
<variable name="Af_R4_5" units="J_per_mol"/>
<variable name="Ar_R4_5" units="J_per_mol"/>
<variable name="v_R4_5" units="fmol_per_sec"/>
<variable name="Af_R6_8" units="J_per_mol"/>
<variable name="Ar_R6_8" units="J_per_mol"/>
<variable name="v_R6_8" units="fmol_per_sec"/>
<variable name="Af_R8_9" units="J_per_mol"/>
<variable name="Ar_R8_9" units="J_per_mol"/>
<variable name="v_R8_9" units="fmol_per_sec"/>
<variable name="Af_R9_10" units="J_per_mol"/>
<variable name="Ar_R9_10" units="J_per_mol"/>
<variable name="v_R9_10" units="fmol_per_sec"/>
<variable name="Af_R10_1" units="J_per_mol"/>
<variable name="Ar_R10_1" units="J_per_mol"/>
<variable name="v_R10_1" units="fmol_per_sec"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>v_Ca_i</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>n_Ca_i</ci>
</apply>
<ci>v_R2_4</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_Ca_i</ci>
</apply>
<cn cellml:units="fmol_per_sec">0</cn>
</apply>
<apply>
<eq/>
<ci>mu_Ca_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ca_i</ci>
<ci>x_Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Ca_SR</ci>
<apply>
<times/>
<ci>n_Ca_SR</ci>
<ci>v_R6_8</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_Ca_SR</ci>
</apply>
<cn cellml:units="fmol_per_sec">0</cn>
</apply>
<apply>
<eq/>
<ci>mu_Ca_SR</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ca_SR</ci>
<ci>x_Ca_SR</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_H</ci>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<ci>n_H</ci>
<ci>v_R4_5</ci>
</apply>
<ci>v_R2_2a</ci>
</apply>
<apply>
<times/>
<ci>n_H</ci>
<ci>v_R8_9</ci>
</apply>
</apply>
<ci>v_R9_10</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_H</ci>
</apply>
<cn cellml:units="fmol_per_sec">0</cn>
</apply>
<apply>
<eq/>
<ci>mu_H</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_H</ci>
<ci>x_H</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_MgADP</ci>
<ci>v_R5_6</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_MgADP</ci>
</apply>
<cn cellml:units="fmol_per_sec">0</cn>
</apply>
<apply>
<eq/>
<ci>mu_MgADP</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_MgADP</ci>
<ci>x_MgADP</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_MgATP</ci>
<apply>
<minus/>
<ci>v_R1_2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_MgATP</ci>
</apply>
<cn cellml:units="fmol_per_sec">0</cn>
</apply>
<apply>
<eq/>
<ci>mu_MgATP</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_MgATP</ci>
<ci>x_MgATP</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P1</ci>
<apply>
<minus/>
<ci>v_R10_1</ci>
<ci>v_R1_2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P1</ci>
</apply>
<ci>v_P1</ci>
</apply>
<apply>
<eq/>
<ci>mu_P1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_1</ci>
<ci>x_P1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Pi</ci>
<ci>v_R10_1</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_Pi</ci>
</apply>
<cn cellml:units="fmol_per_sec">0</cn>
</apply>
<apply>
<eq/>
<ci>mu_Pi</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_P</ci>
<ci>x_Pi</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R10_1</ci>
<ci>mu_P10</ci>
</apply>
<apply>
<eq/>
<ci>Ar_R10_1</ci>
<apply>
<plus/>
<ci>mu_P1</ci>
<ci>mu_Pi</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R10_1</ci>
<apply>
<times/>
<ci>kappa_101</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R10_1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R10_1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R1_2</ci>
<apply>
<plus/>
<ci>mu_P1</ci>
<ci>mu_MgATP</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R1_2</ci>
<ci>mu_P2</ci>
</apply>
<apply>
<eq/>
<ci>v_R1_2</ci>
<apply>
<times/>
<ci>kappa_12</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R1_2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R1_2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R5_6</ci>
<ci>mu_P5</ci>
</apply>
<apply>
<eq/>
<ci>Ar_R5_6</ci>
<apply>
<plus/>
<ci>mu_MgADP</ci>
<ci>mu_P6</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R5_6</ci>
<apply>
<times/>
<ci>kappa_56</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R5_6</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R5_6</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P2</ci>
<apply>
<minus/>
<ci>v_R1_2</ci>
<ci>v_R2_4</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P2</ci>
</apply>
<ci>v_P2</ci>
</apply>
<apply>
<eq/>
<ci>mu_P2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_2</ci>
<ci>x_P2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P2a</ci>
<ci>v_R2_2a</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P2a</ci>
</apply>
<ci>v_P2a</ci>
</apply>
<apply>
<eq/>
<ci>mu_P2a</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_2a</ci>
<ci>x_P2a</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P4</ci>
<apply>
<minus/>
<ci>v_R2_4</ci>
<ci>v_R4_5</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P4</ci>
</apply>
<ci>v_P4</ci>
</apply>
<apply>
<eq/>
<ci>mu_P4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_4</ci>
<ci>x_P4</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P5</ci>
<apply>
<minus/>
<ci>v_R4_5</ci>
<ci>v_R5_6</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P5</ci>
</apply>
<ci>v_P5</ci>
</apply>
<apply>
<eq/>
<ci>mu_P5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_5</ci>
<ci>x_P5</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R2_2a</ci>
<apply>
<plus/>
<ci>mu_P2</ci>
<ci>mu_H</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R2_2a</ci>
<ci>mu_P2a</ci>
</apply>
<apply>
<eq/>
<ci>v_R2_2a</ci>
<apply>
<times/>
<ci>kappa_22a</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R2_2a</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R2_2a</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R2_4</ci>
<apply>
<plus/>
<ci>mu_P2</ci>
<apply>
<times/>
<ci>n_Ca_i</ci>
<ci>mu_Ca_i</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R2_4</ci>
<ci>mu_P4</ci>
</apply>
<apply>
<eq/>
<ci>v_R2_4</ci>
<apply>
<times/>
<ci>kappa_24</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R2_4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R2_4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R4_5</ci>
<ci>mu_P4</ci>
</apply>
<apply>
<eq/>
<ci>Ar_R4_5</ci>
<apply>
<plus/>
<ci>mu_P5</ci>
<apply>
<times/>
<ci>n_H</ci>
<ci>mu_H</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R4_5</ci>
<apply>
<times/>
<ci>kappa_45</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R4_5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R4_5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P10</ci>
<apply>
<minus/>
<ci>v_R9_10</ci>
<ci>v_R10_1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P10</ci>
</apply>
<ci>v_P10</ci>
</apply>
<apply>
<eq/>
<ci>mu_P10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_10</ci>
<ci>x_P10</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P6</ci>
<apply>
<minus/>
<ci>v_R5_6</ci>
<ci>v_R6_8</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P6</ci>
</apply>
<ci>v_P6</ci>
</apply>
<apply>
<eq/>
<ci>mu_P6</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_6</ci>
<ci>x_P6</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P8</ci>
<apply>
<minus/>
<ci>v_R6_8</ci>
<ci>v_R8_9</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P8</ci>
</apply>
<ci>v_P8</ci>
</apply>
<apply>
<eq/>
<ci>mu_P8</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_8</ci>
<ci>x_P8</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P9</ci>
<apply>
<minus/>
<ci>v_R8_9</ci>
<ci>v_R9_10</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P9</ci>
</apply>
<ci>v_P9</ci>
</apply>
<apply>
<eq/>
<ci>mu_P9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_9</ci>
<ci>x_P9</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R6_8</ci>
<ci>mu_P6</ci>
</apply>
<apply>
<eq/>
<ci>Ar_R6_8</ci>
<apply>
<plus/>
<ci>mu_P8</ci>
<apply>
<times/>
<ci>n_Ca_SR</ci>
<ci>mu_Ca_SR</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R6_8</ci>
<apply>
<times/>
<ci>kappa_68</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R6_8</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R6_8</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R8_9</ci>
<apply>
<plus/>
<ci>mu_P8</ci>
<apply>
<times/>
<ci>n_H</ci>
<ci>mu_H</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R8_9</ci>
<ci>mu_P9</ci>
</apply>
<apply>
<eq/>
<ci>v_R8_9</ci>
<apply>
<times/>
<ci>kappa_89</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R8_9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R8_9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R9_10</ci>
<ci>mu_P9</ci>
</apply>
<apply>
<eq/>
<ci>Ar_R9_10</ci>
<apply>
<plus/>
<ci>mu_H</ci>
<ci>mu_P10</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R9_10</ci>
<apply>
<times/>
<ci>kappa_910</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R9_10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R9_10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="constants" component_2="SERCA"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="environment" component_2="SERCA"/>
<map_variables variable_1="t" variable_2="t"/>
</connection>
</model>