- Author:
- Shelley Fong <sfon036@UoA.auckland.ac.nz>
- Date:
- 2022-07-14 11:33:08+12:00
- Desc:
- Changing name of H to H_i
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/7a5/rawfile/cfaacf4a8457c3868a732b1aa84231f1f28e34c3/BG_SERCA.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!-- SERCA model adapted from Pan et al https://arxiv.org/abs/1806.04341
with added phospholamban: PLB (unphosphorylated) inhibits SERCA action
add PLBp to both sides of reactions to reflect dependence on phosphorylated version of PLB-->
<!-- NOTE effective PLBp is really delta_PLBp, which is the change in concentration from baseline
mu_PLBp_eff_effective = mu_PLBp_eff_baseline - mu_PLBp_eff
where mu_PLBp_eff_baseline uses q_PLBp(baseline)-->
<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"/>
<!-- init-->
<variable initial_value="0.0057" name="q_Ca_i" public_interface="out" units="fmol"/>
<variable initial_value="2.28" name="q_Ca_SR" public_interface="out" units="fmol"/>
<variable initial_value="0.004028" name="q_H_i" public_interface="out" units="fmol"/>
<variable initial_value="570" name="q_Pi" public_interface="out" units="fmol"/>
<variable initial_value="1.3794" name="q_MgADP" public_interface="out" units="fmol"/>
<variable initial_value="3.8" name="q_MgATP" public_interface="out" units="fmol"/>
<variable initial_value="0.11111" name="q_P1_SERCA" public_interface="out" units="fmol"/>
<variable initial_value="0.11111" name="q_P2_SERCA" public_interface="out" units="fmol"/>
<variable initial_value="0.11111" name="q_P2a_SERCA" public_interface="out" units="fmol"/>
<variable initial_value="0.11111" name="q_P4_SERCA" public_interface="out" units="fmol"/>
<variable initial_value="0.11111" name="q_P5_SERCA" public_interface="out" units="fmol"/>
<variable initial_value="0.11111" name="q_P10_SERCA" public_interface="out" units="fmol"/>
<variable initial_value="0.11111" name="q_P6_SERCA" public_interface="out" units="fmol"/>
<variable initial_value="0.11111" name="q_P8_SERCA" public_interface="out" units="fmol"/>
<variable initial_value="0.11111" name="q_P9_SERCA" public_interface="out" units="fmol"/>
<variable initial_value="4.028E+00" name="q_PLBp" public_interface="out" units="fmol"/>
<variable initial_value="4.028E+00" name="q_PLBp_baseline" public_interface="out" units="fmol"/>
<!-- SERCA imports-->
<variable name="v_Ca_i_SERCA" public_interface="in" units="fmol_per_sec"/>
<variable name="v_Ca_SR_SERCA" public_interface="in" units="fmol_per_sec"/>
<variable name="v_H_SERCA" public_interface="in" units="fmol_per_sec"/>
<variable name="v_MgADP_SERCA" public_interface="in" units="fmol_per_sec"/>
<variable name="v_MgATP_SERCA" public_interface="in" units="fmol_per_sec"/>
<variable name="v_Pi_SERCA" public_interface="in" units="fmol_per_sec"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Ca_i</ci>
</apply>
<ci>v_Ca_i_SERCA</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Ca_SR</ci>
</apply>
<ci>v_Ca_SR_SERCA</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_H_i</ci>
</apply>
<ci>v_H_SERCA</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_MgADP</ci>
</apply>
<ci>v_MgADP_SERCA</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_MgATP</ci>
</apply>
<ci>v_MgATP_SERCA</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Pi</ci>
</apply>
<ci>v_Pi_SERCA</ci>
</apply>
</math>
</component>
<component name="SERCA_parameters">
<variable initial_value="6.91835e-08" name="kappa_SERCA_R1_2" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="7.55655" name="kappa_SERCA_R2_4" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="8506.72" name="kappa_SERCA_R2_2a" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="7.55655" name="kappa_SERCA_R4_5" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.241033" name="kappa_SERCA_R5_6" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="45.2524" name="kappa_SERCA_R6_8" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="6662.34" name="kappa_SERCA_R8_9" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="6662.34" name="kappa_SERCA_R9_10" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="3.65954e-06" name="kappa_SERCA_R10_1" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="45.8697" name="K_P1_SERCA" public_interface="out" units="per_fmol"/>
<variable initial_value="2.31881" name="K_P2_SERCA" public_interface="out" units="per_fmol"/>
<variable initial_value="0.242269" name="K_P2a_SERCA" public_interface="out" units="per_fmol"/>
<variable initial_value="272.733" name="K_P4_SERCA" public_interface="out" units="per_fmol"/>
<variable initial_value="0.000838529" name="K_P5_SERCA" public_interface="out" units="per_fmol"/>
<variable initial_value="228.515" name="K_P6_SERCA" public_interface="out" units="per_fmol"/>
<variable initial_value="0.320649" name="K_P8_SERCA" public_interface="out" units="per_fmol"/>
<variable initial_value="0.309339" name="K_P9_SERCA" public_interface="out" units="per_fmol"/>
<variable initial_value="0.445746" name="K_P10_SERCA" public_interface="out" units="per_fmol"/>
<variable initial_value="237.968" name="K_H" public_interface="out" units="per_fmol"/>
<variable initial_value="0.313625" name="K_Ca_i" public_interface="out" units="per_fmol"/>
<variable initial_value="5.22709" name="K_Ca_SR" public_interface="out" units="per_fmol"/>
<variable initial_value="17.0902" name="K_MgATP" public_interface="out" units="per_fmol"/>
<variable initial_value="2.55479e-06" name="K_MgADP" public_interface="out" units="per_fmol"/>
<variable initial_value="0.00185871" name="K_Pi" public_interface="out" units="per_fmol"/>
<variable initial_value="93.2902" name="K_PLBp" public_interface="out" units="per_fmol"/>
</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 name="K_P1_SERCA" public_interface="in" units="per_fmol"/>
<variable name="K_P10_SERCA" public_interface="in" units="per_fmol"/>
<variable name="K_P2_SERCA" public_interface="in" units="per_fmol"/>
<variable name="K_P2a_SERCA" public_interface="in" units="per_fmol"/>
<variable name="K_P4_SERCA" public_interface="in" units="per_fmol"/>
<variable name="K_P5_SERCA" public_interface="in" units="per_fmol"/>
<variable name="K_P6_SERCA" public_interface="in" units="per_fmol"/>
<variable name="K_P8_SERCA" public_interface="in" units="per_fmol"/>
<variable name="K_P9_SERCA" public_interface="in" units="per_fmol"/>
<variable name="K_Ca_i" public_interface="in" units="per_fmol"/>
<variable name="K_Ca_SR" public_interface="in" units="per_fmol"/>
<variable name="K_H" public_interface="in" units="per_fmol"/>
<variable name="K_MgADP" public_interface="in" units="per_fmol"/>
<variable name="K_MgATP" public_interface="in" units="per_fmol"/>
<variable name="K_Pi" public_interface="in" units="per_fmol"/>
<variable name="K_PLBp" public_interface="in" units="per_fmol"/>
<variable name="kappa_SERCA_R10_1" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_SERCA_R1_2" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_SERCA_R2_2a" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_SERCA_R2_4" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_SERCA_R4_5" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_SERCA_R5_6" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_SERCA_R6_8" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_SERCA_R8_9" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_SERCA_R9_10" public_interface="in" 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"/>
<!-- Input from global environment-->
<variable name="q_Ca_i" public_interface="in" units="fmol"/>
<variable name="q_Ca_SR" public_interface="in" units="fmol"/>
<variable name="q_H_i" public_interface="in" units="fmol"/>
<variable name="q_Pi" public_interface="in" units="fmol"/>
<variable name="q_MgADP" public_interface="in" units="fmol"/>
<variable name="q_MgATP" public_interface="in" units="fmol"/>
<variable name="q_PLBp" public_interface="in" units="fmol"/>
<variable name="q_PLBp_baseline" public_interface="in" units="fmol"/>
<!-- gate -->
<variable name="q_P1_SERCA" public_interface="in" units="fmol"/>
<variable name="q_P2_SERCA" public_interface="in" units="fmol"/>
<variable name="q_P2a_SERCA" public_interface="in" units="fmol"/>
<variable name="q_P4_SERCA" public_interface="in" units="fmol"/>
<variable name="q_P5_SERCA" public_interface="in" units="fmol"/>
<variable name="q_P10_SERCA" public_interface="in" units="fmol"/>
<variable name="q_P6_SERCA" public_interface="in" units="fmol"/>
<variable name="q_P8_SERCA" public_interface="in" units="fmol"/>
<variable name="q_P9_SERCA" public_interface="in" units="fmol"/>
<variable name="q_SERCA_Ca_complexes" public_interface="out" units="fmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>q_SERCA_Ca_complexes</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>n_Ca_i</ci>
<ci>q_P4_SERCA</ci>
</apply>
<apply>
<times/>
<ci>n_Ca_i</ci>
<ci>q_P5_SERCA</ci>
</apply>
<apply>
<times/>
<ci>n_Ca_SR</ci>
<ci>q_P6_SERCA</ci>
</apply>
</apply>
</apply>
</math>
<!-- 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>q_Ca_i</ci>
<ci>vol_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_Ca_SR</ci>
<apply>
<divide/>
<ci>q_Ca_SR</ci>
<ci>vol_sr</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_H</ci>
<apply>
<divide/>
<ci>q_H_i</ci>
<ci>vol_isr</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_MgADP</ci>
<apply>
<divide/>
<ci>q_MgADP</ci>
<ci>vol_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_MgATP</ci>
<apply>
<divide/>
<ci>q_MgATP</ci>
<ci>vol_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>c_Pi</ci>
<apply>
<divide/>
<ci>q_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_SERCA" public_interface="out" units="fmol_per_sec"/>
<variable name="mu_Ca_SR" units="J_per_mol"/>
<variable name="v_Ca_SR_SERCA" public_interface="out" units="fmol_per_sec"/>
<variable name="mu_H" units="J_per_mol"/>
<variable name="v_H_SERCA" public_interface="out" units="fmol_per_sec"/>
<variable name="mu_MgADP" units="J_per_mol"/>
<variable name="v_MgADP_SERCA" public_interface="out" units="fmol_per_sec"/>
<variable name="mu_MgATP" units="J_per_mol"/>
<variable name="v_MgATP_SERCA" public_interface="out" 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_SERCA" public_interface="out" 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="mu_PLBp_baseline" units="J_per_mol"/>
<variable name="mu_PLBp" units="J_per_mol"/>
<variable name="mu_PLBp_eff" units="J_per_mol"/>
<variable name="Af_R1_2" units="J_per_mol"/>
<variable name="Ar_R1_2" units="J_per_mol"/>
<variable name="v_SERCA_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_SERCA_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_SERCA_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_SERCA_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_SERCA_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_SERCA_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_SERCA_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_SERCA_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_SERCA_R10_1" units="fmol_per_sec"/>
<variable name="v_SERCA_R10_1_noPLBp" units="fmol_per_sec"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<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>q_Ca_i</ci>
</apply>
</apply>
</apply>
</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>q_Ca_SR</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_H</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_H</ci>
<ci>q_H_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_MgADP</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_MgADP</ci>
<ci>q_MgADP</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_MgATP</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_MgATP</ci>
<ci>q_MgATP</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Pi</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Pi</ci>
<ci>q_Pi</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_P1_SERCA</ci>
<ci>q_P1_SERCA</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_P2_SERCA</ci>
<ci>q_P2_SERCA</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P2a</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_P2a_SERCA</ci>
<ci>q_P2a_SERCA</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_P4_SERCA</ci>
<ci>q_P4_SERCA</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_P5_SERCA</ci>
<ci>q_P5_SERCA</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_P10_SERCA</ci>
<ci>q_P10_SERCA</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P6</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_P6_SERCA</ci>
<ci>q_P6_SERCA</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P8</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_P8_SERCA</ci>
<ci>q_P8_SERCA</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_P9_SERCA</ci>
<ci>q_P9_SERCA</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_PLBp_baseline</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_PLBp</ci>
<ci>q_PLBp</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_PLBp</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_PLBp</ci>
<ci>q_PLBp_baseline</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_PLBp_eff</ci>
<apply>
<minus/>
<ci>mu_PLBp_baseline</ci>
<ci>mu_PLBp</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R10_1</ci>
<apply>
<plus/>
<ci>mu_P10</ci>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R10_1</ci>
<apply>
<plus/>
<ci>mu_P1</ci>
<ci>mu_Pi</ci>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R1_2</ci>
<apply>
<plus/>
<ci>mu_P1</ci>
<ci>mu_MgATP</ci>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R1_2</ci>
<apply>
<plus/>
<ci>mu_P2</ci>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R5_6</ci>
<apply>
<plus/>
<ci>mu_P5</ci>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R5_6</ci>
<apply>
<plus/>
<ci>mu_MgADP</ci>
<ci>mu_P6</ci>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R2_2a</ci>
<apply>
<plus/>
<ci>mu_P2</ci>
<ci>mu_H</ci>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R2_2a</ci>
<apply>
<plus/>
<ci>mu_P2a</ci>
<ci>mu_PLBp_eff</ci>
</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>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R2_4</ci>
<apply>
<plus/>
<ci>mu_P4</ci>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R4_5</ci>
<apply>
<plus/>
<ci>mu_P4</ci>
<ci>mu_PLBp_eff</ci>
</apply>
</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>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R6_8</ci>
<apply>
<plus/>
<ci>mu_P6</ci>
<ci>mu_PLBp_eff</ci>
</apply>
</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>
<ci>mu_PLBp_eff</ci>
</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>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R8_9</ci>
<apply>
<plus/>
<ci>mu_P9</ci>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R9_10</ci>
<apply>
<plus/>
<ci>mu_P9</ci>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R9_10</ci>
<apply>
<plus/>
<ci>mu_H</ci>
<ci>mu_P10</ci>
<ci>mu_PLBp_eff</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_SERCA_R10_1</ci>
<apply>
<times/>
<ci>kappa_SERCA_R10_1</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>v_SERCA_R10_1_noPLBp</ci>
<apply>
<times/>
<ci>kappa_SERCA_R10_1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_P10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_P1</ci>
<ci>mu_Pi</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_SERCA_R1_2</ci>
<apply>
<times/>
<ci>kappa_SERCA_R1_2</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>v_SERCA_R5_6</ci>
<apply>
<times/>
<ci>kappa_SERCA_R5_6</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_SERCA_R2_2a</ci>
<apply>
<times/>
<ci>kappa_SERCA_R2_2a</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>v_SERCA_R2_4</ci>
<apply>
<times/>
<ci>kappa_SERCA_R2_4</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>v_SERCA_R4_5</ci>
<apply>
<times/>
<ci>kappa_SERCA_R4_5</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_SERCA_R6_8</ci>
<apply>
<times/>
<ci>kappa_SERCA_R6_8</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>v_SERCA_R8_9</ci>
<apply>
<times/>
<ci>kappa_SERCA_R8_9</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>v_SERCA_R9_10</ci>
<apply>
<times/>
<ci>kappa_SERCA_R9_10</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>
<apply>
<eq/>
<ci>v_Ca_i_SERCA</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>n_Ca_i</ci>
</apply>
<ci>v_SERCA_R2_4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Ca_SR_SERCA</ci>
<apply>
<times/>
<ci>n_Ca_SR</ci>
<ci>v_SERCA_R6_8</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_H_SERCA</ci>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<ci>n_H</ci>
<ci>v_SERCA_R4_5</ci>
</apply>
<ci>v_SERCA_R2_2a</ci>
</apply>
<apply>
<times/>
<ci>n_H</ci>
<ci>v_SERCA_R8_9</ci>
</apply>
</apply>
<ci>v_SERCA_R9_10</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_MgADP_SERCA</ci>
<ci>v_SERCA_R5_6</ci>
</apply>
<apply>
<eq/>
<ci>v_MgATP_SERCA</ci>
<apply>
<minus/>
<ci>v_SERCA_R1_2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Pi_SERCA</ci>
<ci>v_SERCA_R10_1</ci>
</apply>
<apply>
<eq/>
<ci>v_P1</ci>
<apply>
<minus/>
<ci>v_SERCA_R10_1</ci>
<ci>v_SERCA_R1_2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P2</ci>
<apply>
<minus/>
<ci>v_SERCA_R1_2</ci>
<ci>v_SERCA_R2_4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P2a</ci>
<ci>v_SERCA_R2_2a</ci>
</apply>
<apply>
<eq/>
<ci>v_P4</ci>
<apply>
<minus/>
<ci>v_SERCA_R2_4</ci>
<ci>v_SERCA_R4_5</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P5</ci>
<apply>
<minus/>
<ci>v_SERCA_R4_5</ci>
<ci>v_SERCA_R5_6</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P10</ci>
<apply>
<minus/>
<ci>v_SERCA_R9_10</ci>
<ci>v_SERCA_R10_1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P6</ci>
<apply>
<minus/>
<ci>v_SERCA_R5_6</ci>
<ci>v_SERCA_R6_8</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P8</ci>
<apply>
<minus/>
<ci>v_SERCA_R6_8</ci>
<ci>v_SERCA_R8_9</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P9</ci>
<apply>
<minus/>
<ci>v_SERCA_R8_9</ci>
<ci>v_SERCA_R9_10</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P1_SERCA</ci>
</apply>
<ci>v_P1</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P2_SERCA</ci>
</apply>
<ci>v_P2</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P2a_SERCA</ci>
</apply>
<ci>v_P2a</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P4_SERCA</ci>
</apply>
<ci>v_P4</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P5_SERCA</ci>
</apply>
<ci>v_P5</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P10_SERCA</ci>
</apply>
<ci>v_P10</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P6_SERCA</ci>
</apply>
<ci>v_P6</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P8_SERCA</ci>
</apply>
<ci>v_P8</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P9_SERCA</ci>
</apply>
<ci>v_P9</ci>
</apply>
</math>
<!-- ode(q_PLBp, t) = 0{fmol_per_sec};-->
</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"/>
<map_variables variable_1="q_H_i" variable_2="q_H_i"/>
<map_variables variable_1="q_Ca_i" variable_2="q_Ca_i"/>
<map_variables variable_1="q_Ca_SR" variable_2="q_Ca_SR"/>
<map_variables variable_1="q_MgATP" variable_2="q_MgATP"/>
<map_variables variable_1="q_MgADP" variable_2="q_MgADP"/>
<map_variables variable_1="q_Pi" variable_2="q_Pi"/>
<map_variables variable_1="q_PLBp" variable_2="q_PLBp"/>
<map_variables variable_1="q_PLBp_baseline" variable_2="q_PLBp_baseline"/>
<map_variables variable_1="v_Ca_i_SERCA" variable_2="v_Ca_i_SERCA"/>
<map_variables variable_1="v_Ca_SR_SERCA" variable_2="v_Ca_SR_SERCA"/>
<map_variables variable_1="v_H_SERCA" variable_2="v_H_SERCA"/>
<map_variables variable_1="v_MgADP_SERCA" variable_2="v_MgADP_SERCA"/>
<map_variables variable_1="v_MgATP_SERCA" variable_2="v_MgATP_SERCA"/>
<map_variables variable_1="v_Pi_SERCA" variable_2="v_Pi_SERCA"/>
<map_variables variable_1="q_P1_SERCA" variable_2="q_P1_SERCA"/>
<map_variables variable_1="q_P2_SERCA" variable_2="q_P2_SERCA"/>
<map_variables variable_1="q_P2a_SERCA" variable_2="q_P2a_SERCA"/>
<map_variables variable_1="q_P4_SERCA" variable_2="q_P4_SERCA"/>
<map_variables variable_1="q_P5_SERCA" variable_2="q_P5_SERCA"/>
<map_variables variable_1="q_P6_SERCA" variable_2="q_P6_SERCA"/>
<map_variables variable_1="q_P8_SERCA" variable_2="q_P8_SERCA"/>
<map_variables variable_1="q_P9_SERCA" variable_2="q_P9_SERCA"/>
<map_variables variable_1="q_P10_SERCA" variable_2="q_P10_SERCA"/>
</connection>
<connection>
<map_components component_1="SERCA_parameters" component_2="SERCA"/>
<map_variables variable_1="kappa_SERCA_R1_2" variable_2="kappa_SERCA_R1_2"/>
<map_variables variable_1="kappa_SERCA_R2_4" variable_2="kappa_SERCA_R2_4"/>
<map_variables variable_1="kappa_SERCA_R2_2a" variable_2="kappa_SERCA_R2_2a"/>
<map_variables variable_1="kappa_SERCA_R4_5" variable_2="kappa_SERCA_R4_5"/>
<map_variables variable_1="kappa_SERCA_R5_6" variable_2="kappa_SERCA_R5_6"/>
<map_variables variable_1="kappa_SERCA_R6_8" variable_2="kappa_SERCA_R6_8"/>
<map_variables variable_1="kappa_SERCA_R8_9" variable_2="kappa_SERCA_R8_9"/>
<map_variables variable_1="kappa_SERCA_R9_10" variable_2="kappa_SERCA_R9_10"/>
<map_variables variable_1="kappa_SERCA_R10_1" variable_2="kappa_SERCA_R10_1"/>
<map_variables variable_1="K_P1_SERCA" variable_2="K_P1_SERCA"/>
<map_variables variable_1="K_P2_SERCA" variable_2="K_P2_SERCA"/>
<map_variables variable_1="K_P2a_SERCA" variable_2="K_P2a_SERCA"/>
<map_variables variable_1="K_P4_SERCA" variable_2="K_P4_SERCA"/>
<map_variables variable_1="K_P5_SERCA" variable_2="K_P5_SERCA"/>
<map_variables variable_1="K_P6_SERCA" variable_2="K_P6_SERCA"/>
<map_variables variable_1="K_P8_SERCA" variable_2="K_P8_SERCA"/>
<map_variables variable_1="K_P9_SERCA" variable_2="K_P9_SERCA"/>
<map_variables variable_1="K_P10_SERCA" variable_2="K_P10_SERCA"/>
<map_variables variable_1="K_H" variable_2="K_H"/>
<map_variables variable_1="K_Ca_i" variable_2="K_Ca_i"/>
<map_variables variable_1="K_Ca_SR" variable_2="K_Ca_SR"/>
<map_variables variable_1="K_MgATP" variable_2="K_MgATP"/>
<map_variables variable_1="K_MgADP" variable_2="K_MgADP"/>
<map_variables variable_1="K_Pi" variable_2="K_Pi"/>
<map_variables variable_1="K_PLBp" variable_2="K_PLBp"/>
</connection>
</model>
