- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2006-07-09 07:52:38+12:00
- Desc:
- committing version01 of rice_winslow_jafri_1999
- Permanent Source URI:
- http://models.cellml.org/workspace/rice_winslow_jafri_1999/rawfile/7a1de088ee46241e1ee4a8a93bd5254c442eda51/rice_winslow_jafri_1999.cellml
<?xml version='1.0' encoding='utf-8'?>
<!-- FILE : RJW_model_1999_raw.xml
CREATED : 29th June 2002
LAST MODIFIED : 11th September 2003
AUTHOR : Catherine Lloyd
The Bioengineering Institute
The University of Auckland
MODEL STATUS : This model conforms to the CellML 1.0 Specification released on
10th August 2001, and the 16/01/2002 CellML Metadata 1.0 Specification.
DESCRIPTION : This file contains a CellML description of Rice et al's 1999 model of the functional Ca2+ release unit.
CHANGES:
18/07/2002 - CML - Added more metadata.
09/04/2003 - AAC - Added publication date information.
11/09/2003 - AAC - Fixed "J_RyR_calculation".
--><model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:pathway_editor="http://www.physiome.com/pathway_editor/1.0#" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" pathway_editor:rendering_config_file="RJW_model_1999_CellMLrender.xml" cmeta:id="rice_winslow_jafri_1999_version01" name="rice_winslow_jafri_1999_version01">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Modelling the Functional Ca2+ Release Unit</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This is the original unchecked version of the model imported from the previous
CellML model repository, 24-Jan-2006.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
Calcium-induced calcium release (CICR) in cardiac muscle displays both gradedness and high gain. It is graded because release of Ca<superscript>2+</superscript> from the sarcoplasmic reticulum (SR) is proportional to the influx of trigger Ca<superscript>2+</superscript>, and high gain refers to the observation that Ca<superscript>2+</superscript> release from the SR is much greater than the trigger influx. Inherent to such high-gain systems is positive feedback, which causes an all-or-nothing response rather than graded Ca<superscript>2+</superscript> release. Such behaviour is predicted by all mathematical models in which sarcolemmal Ca<superscript>2+</superscript> influx and SR Ca<superscript>2+</superscript> release are directed into a single compartment, or common pool model.
</para>
<para>
The previous (1998) model of cardiac calcium handling, (see <ulink url="${HTML_EXMPL_JRW_MODEL}">Jafri-Rice-Winslow Ventricular Model, 1998</ulink>) by the authors was an example of a common pool model. While it was able to simulate frequency-dependent aspects of cardiac Ca<superscript>2+</superscript> cycling and high gain, it also displayed an all-or-none rather than a graded Ca<superscript>2+</superscript> release. By contrast, their 1999 model (see <xref linkend="fig_cell_diagram"/> below) is based on functional release units (FRUs) formulated from one sarcolemmal dihydropyridine receptor (DHPR), eight ryanodine receptor (RyR) channels, and the volume (subspace) surrounding them. It is assumed that a variable number of independent FRUs can be recruited to produce graded Ca<superscript>2+</superscript> release. Voltage-gated DHPR channels open adjacent RyRs via a localised increase in [Ca<superscript>2+</superscript>].
</para>
<para>
Results obtained with the stochastic model suggest that high gain and gradedness can occur by the recruitment of independent FRUs without requiring spatial [Ca<superscript>2+</superscript>] gradients within a functional unit, or coupling between adjacent units.
</para>
<para>
The complete original paper reference is cited below:
</para>
<para>
<ulink url="http://www.biophysj.org/cgi/content/abstract/77/4/1871">Modeling Gain and Gradedness of Ca<superscript>2+</superscript> Release in the Functional Unit of the Cardiac Diadic Space</ulink> John J. Rice, Saleet Jafri and Raimond L. Winslow, 1999, <ulink url="http://www.biophysj.org/">
<emphasis>Biophysical Journal</emphasis>
</ulink>, 77, 1871-1884. (<ulink url="http://www.biophysj.org/cgi/content/full/77/4/1871">Full text</ulink> and <ulink url="http://www.biophysj.org/cgi/reprint/77/4/1871.pdf">PDF</ulink> versions of the article are available for Journal Members on the Biophysical Journal website.) <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=10512809&dopt=Abstract">PubMed ID: 10512809</ulink>
</para>
<informalfigure float="0" id="fig_cell_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>cell_diagram</title>
</objectinfo>
<imagedata fileref="rice_1999.png"/>
</imageobject>
</mediaobject>
<caption>A) Schematic diagram of the functional release unit model. B) State diagram of the DHPR Channel. C) State diagram of the RyR channel.</caption>
</informalfigure>
</sect1>
</article>
</documentation>
<!--
Below, we define some additional units for association with variables and
constants within the model. The identifiers are fairly self-explanatory.
-->
<units name="millisecond">
<unit units="second" prefix="milli"/>
</units>
<units name="cm_per_millisecond">
<unit units="metre" prefix="centi"/>
<unit units="millisecond" exponent="-1"/>
</units>
<units name="millimolar">
<unit units="mole" prefix="milli"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="micromolar">
<unit units="mole" prefix="micro"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="micrometre">
<unit units="metre" prefix="micro"/>
</units>
<units name="per_micromolar">
<unit units="micromolar" exponent="-1"/>
</units>
<units name="flux">
<unit units="micromolar"/>
<unit units="second" exponent="-1"/>
</units>
<units name="first_order_rate_constant">
<unit units="second" exponent="-1"/>
</units>
<units name="second_order_rate_constant">
<unit units="micromolar" exponent="-1"/>
<unit units="second" exponent="-1"/>
</units>
<units name="millivolt">
<unit units="volt" prefix="milli"/>
</units>
<units name="microA_per_microF">
<unit units="ampere" prefix="micro"/>
<unit units="farad" prefix="micro" exponent="-1"/>
</units>
<units name="joule_per_mole_kelvin">
<unit units="joule"/>
<unit units="mole" exponent="-1"/>
<unit units="kelvin" exponent="-1"/>
</units>
<units name="coulomb_per_mole">
<unit units="coulomb"/>
<unit units="mole" exponent="-1"/>
</units>
<units name="micro_litre">
<unit units="litre" prefix="micro"/>
</units>
<!--
The "environment" component is used to declare variables that are used by
all or most of the other components, in this case just "time".
-->
<component name="environment">
<variable units="second" public_interface="out" name="time"/>
</component>
<component name="sarcolemma">
<variable units="millivolt" public_interface="out" name="V" initial_value="-84.624"/>
<variable units="joule_per_mole_kelvin" public_interface="out" name="R" initial_value="8.314"/>
<variable units="kelvin" public_interface="out" name="T" initial_value="310.0"/>
<variable units="coulomb_per_mole" public_interface="out" name="F" initial_value="96500.0"/>
<variable units="millimolar" public_interface="out" name="Ca_o" initial_value="1.8"/>
</component>
<component name="subspace">
<variable units="micro_litre" public_interface="out" name="V_SS" initial_value="2.03E-12"/>
<variable units="flux" public_interface="out" name="J_RyR"/>
<variable units="micromolar" public_interface="out" name="Ca_SS"/>
<variable units="flux" name="J_DHPR"/>
<variable units="dimensionless" name="DHPR_open"/>
<variable units="dimensionless" name="RyR_open"/>
<variable units="microA_per_microF" name="I_DHPR"/>
<variable units="first_order_rate_constant" name="J_RyR_perm" initial_value="3960.0"/>
<variable units="micromolar" name="beta_SS"/>
<variable units="micromolar" name="B_SR" initial_value="47.0"/>
<variable units="micromolar" name="K_BSR" initial_value="0.87"/>
<variable units="micromolar" name="B_SL" initial_value="1124.0"/>
<variable units="micromolar" name="K_BSL" initial_value="8.7"/>
<variable units="cm_per_millisecond" name="P_Ca" initial_value="1.51E-11"/>
<variable units="flux" name="J_xfer"/>
<variable units="millisecond" name="tau_xfer" initial_value="0.0007"/>
<variable units="micromolar" name="Ca_myo" initial_value="0.1"/>
<variable units="dimensionless" name="i" initial_value="0.0"/>
<variable units="micro_litre" name="V_myo" initial_value="0.1"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="millimolar" public_interface="in" name="Ca_o"/>
<variable units="millimolar" public_interface="in" name="O"/>
<variable units="millimolar" public_interface="in" name="O_Ca"/>
<variable units="millimolar" public_interface="in" name="P_O3"/>
<variable units="millimolar" public_interface="in" name="P_O4"/>
<variable units="micromolar" public_interface="in" name="Ca_JSR"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="J_xfer_calculation">
<eq/>
<ci> J_xfer </ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> tau_xfer </ci>
</apply>
<apply>
<minus/>
<ci> Ca_SS </ci>
<ci> Ca_myo </ci>
</apply>
</apply>
</apply>
<apply id="J_DHPR_calculation">
<eq/>
<ci> J_DHPR </ci>
<apply>
<divide/>
<apply>
<times/>
<ci> I_DHPR </ci>
<ci> DHPR_open </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> F </ci>
<ci> V_SS </ci>
</apply>
</apply>
</apply>
<apply id="I_DHPR_calculation">
<eq/>
<ci> I_DHPR </ci>
<apply>
<times/>
<ci> P_Ca </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
<apply>
<divide/>
<apply>
<times/>
<ci> V </ci>
<apply>
<power/>
<ci> F </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.001 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.341 </cn>
<ci> Ca_o </ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply>
<times/>
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
</apply>
<apply id="DHPR_open_calculation">
<eq/>
<ci> DHPR_open </ci>
<piecewise>
<piece>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<or/>
<apply>
<eq/>
<ci> i </ci>
<ci> O </ci>
</apply>
<apply>
<eq/>
<ci> i </ci>
<ci> O_Ca </ci>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="dimensionless"> 0.0 </cn>
</otherwise>
</piecewise>
</apply>
<apply id="J_RyR_calculation">
<eq/>
<ci> J_RyR </ci>
<apply>
<sum/>
<bvar>
<ci> i </ci>
</bvar>
<lowlimit>
<cn cellml:units="dimensionless"> 1.0 </cn>
</lowlimit>
<uplimit>
<cn cellml:units="dimensionless"> 8.0 </cn>
</uplimit>
<apply>
<times/>
<ci> J_RyR_perm </ci>
<ci> RyR_open </ci>
<apply>
<minus/>
<ci> Ca_JSR </ci>
<ci> Ca_SS </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="RyR_open_calculation">
<eq/>
<ci> RyR_open </ci>
<piecewise>
<piece>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<or/>
<apply>
<eq/>
<ci> i </ci>
<ci> P_O3 </ci>
</apply>
<apply>
<eq/>
<ci> i </ci>
<ci> P_O4 </ci>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="dimensionless"> 0.0 </cn>
</otherwise>
</piecewise>
</apply>
<apply id="calcium_subspace_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ca_SS </ci>
</apply>
<apply>
<times/>
<ci> beta_SS </ci>
<apply>
<plus/>
<ci> J_DHPR </ci>
<ci> J_RyR </ci>
<apply>
<times/>
<apply>
<divide/>
<ci> V_myo </ci>
<ci> V_SS </ci>
</apply>
<ci> J_xfer </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_SS_calculation">
<eq/>
<ci> beta_SS </ci>
<apply>
<power/>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<divide/>
<apply>
<times/>
<ci> B_SR </ci>
<ci> K_BSR </ci>
</apply>
<apply>
<power/>
<apply>
<plus/>
<ci> K_BSR </ci>
<ci> Ca_SS </ci>
</apply>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci> B_SL </ci>
<ci> K_BSL </ci>
</apply>
<apply>
<power/>
<apply>
<plus/>
<ci> K_BSL </ci>
<ci> Ca_SS </ci>
</apply>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> -1.0 </cn>
</apply>
</apply>
</math>
</component>
<component name="sarcoplasmic_reticulum">
<variable units="micromolar" public_interface="out" name="Ca_JSR"/>
<variable units="micro_litre" name="V_JSR" initial_value="2.03E-12"/>
<variable units="millimolar" name="beta_JSR"/>
<variable units="millimolar" name="CSQN_tot" initial_value="15.0"/>
<variable units="millimolar" name="K_CSQN" initial_value="0.8"/>
<variable units="flux" name="J_tr"/>
<variable units="millisecond" name="tau_tr" initial_value="0.005"/>
<variable units="micromolar" name="Ca_NSR" initial_value="800.0"/>
<variable units="flux" public_interface="in" name="J_RyR"/>
<variable units="micro_litre" public_interface="in" name="V_SS"/>
<variable units="millisecond" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="calcium_JSR_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ca_JSR </ci>
</apply>
<apply>
<times/>
<ci> beta_JSR </ci>
<apply>
<minus/>
<ci> J_tr </ci>
<apply>
<times/>
<apply>
<divide/>
<ci> V_SS </ci>
<ci> V_JSR </ci>
</apply>
<ci> J_RyR </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_JSR_calculation">
<eq/>
<ci> beta_JSR </ci>
<apply>
<power/>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<divide/>
<apply>
<times/>
<ci> CSQN_tot </ci>
<ci> K_CSQN </ci>
</apply>
<apply>
<power/>
<apply>
<plus/>
<ci> K_CSQN </ci>
<ci> Ca_JSR </ci>
</apply>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> -1.0 </cn>
</apply>
</apply>
<apply id="J_tr_calculation">
<eq/>
<ci> J_tr </ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> tau_tr </ci>
</apply>
<apply>
<minus/>
<ci> Ca_NSR </ci>
<ci> Ca_JSR </ci>
</apply>
</apply>
</apply>
</math>
</component>
<!--
The following components describe all the channel states involved in the
model.
-->
<component cmeta:id="C0" name="C0">
<variable units="micromolar" public_interface="out" name="C0" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_C0_rxn10"/>
<variable units="flux" public_interface="in" name="delta_C0_rxn3"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C0</ci>
</apply>
<apply>
<plus/>
<ci>delta_C0_rxn10</ci>
<ci>delta_C0_rxn3</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="C1" name="C1">
<variable units="micromolar" public_interface="out" name="C1" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_C1_rxn3"/>
<variable units="flux" public_interface="in" name="delta_C1_rxn11"/>
<variable units="flux" public_interface="in" name="delta_C1_rxn2"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C1</ci>
</apply>
<apply>
<plus/>
<ci>delta_C1_rxn3</ci>
<ci>delta_C1_rxn11</ci>
<ci>delta_C1_rxn2</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="C3" name="C3">
<variable units="micromolar" public_interface="out" name="C3" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_C3_rxn4"/>
<variable units="flux" public_interface="in" name="delta_C3_rxn13"/>
<variable units="flux" public_interface="in" name="delta_C3_rxn1"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C3</ci>
</apply>
<apply>
<plus/>
<ci>delta_C3_rxn4</ci>
<ci>delta_C3_rxn13</ci>
<ci>delta_C3_rxn1</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="C4" name="C4">
<variable units="micromolar" public_interface="out" name="C4" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_C4_rxn1"/>
<variable units="flux" public_interface="in" name="delta_C4_rxn14"/>
<variable units="flux" public_interface="in" name="delta_C4_rxn0"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C4</ci>
</apply>
<apply>
<plus/>
<ci>delta_C4_rxn1</ci>
<ci>delta_C4_rxn14</ci>
<ci>delta_C4_rxn0</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="O" name="O">
<variable units="micromolar" public_interface="out" name="O" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_O_rxn0"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>O</ci>
</apply>
<ci>delta_O_rxn0</ci>
</apply>
</math>
</component>
<component cmeta:id="C_Ca0" name="C_Ca0">
<variable units="micromolar" public_interface="out" name="C_Ca0" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_C_Ca0_rxn9"/>
<variable units="flux" public_interface="in" name="delta_C_Ca0_rxn10"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_Ca0</ci>
</apply>
<apply>
<plus/>
<ci>delta_C_Ca0_rxn9</ci>
<ci>delta_C_Ca0_rxn10</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="C_Ca1" name="C_Ca1">
<variable units="micromolar" public_interface="out" name="C_Ca1" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_C_Ca1_rxn9"/>
<variable units="flux" public_interface="in" name="delta_C_Ca1_rxn8"/>
<variable units="flux" public_interface="in" name="delta_C_Ca1_rxn11"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_Ca1</ci>
</apply>
<apply>
<plus/>
<ci>delta_C_Ca1_rxn9</ci>
<ci>delta_C_Ca1_rxn8</ci>
<ci>delta_C_Ca1_rxn11</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="C_Ca2" name="C_Ca2">
<variable units="micromolar" public_interface="out" name="C_Ca2" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_C_Ca2_rxn8"/>
<variable units="flux" public_interface="in" name="delta_C_Ca2_rxn7"/>
<variable units="flux" public_interface="in" name="delta_C_Ca2_rxn12"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_Ca2</ci>
</apply>
<apply>
<plus/>
<ci>delta_C_Ca2_rxn8</ci>
<ci>delta_C_Ca2_rxn7</ci>
<ci>delta_C_Ca2_rxn12</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="C_Ca3" name="C_Ca3">
<variable units="micromolar" public_interface="out" name="C_Ca3" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_C_Ca3_rxn7"/>
<variable units="flux" public_interface="in" name="delta_C_Ca3_rxn6"/>
<variable units="flux" public_interface="in" name="delta_C_Ca3_rxn13"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_Ca3</ci>
</apply>
<apply>
<plus/>
<ci>delta_C_Ca3_rxn7</ci>
<ci>delta_C_Ca3_rxn6</ci>
<ci>delta_C_Ca3_rxn13</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="C_Ca4" name="C_Ca4">
<variable units="micromolar" public_interface="out" name="C_Ca4" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_C_Ca4_rxn6"/>
<variable units="flux" public_interface="in" name="delta_C_Ca4_rxn5"/>
<variable units="flux" public_interface="in" name="delta_C_Ca4_rxn14"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_Ca4</ci>
</apply>
<apply>
<plus/>
<ci>delta_C_Ca4_rxn6</ci>
<ci>delta_C_Ca4_rxn5</ci>
<ci>delta_C_Ca4_rxn14</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="O_Ca" name="O_Ca">
<variable units="micromolar" public_interface="out" name="O_Ca" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_O_Ca_rxn5"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>O_Ca</ci>
</apply>
<ci>delta_O_Ca_rxn5</ci>
</apply>
</math>
</component>
<component cmeta:id="C2" name="C2">
<variable units="micromolar" public_interface="out" name="C2" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_C2_rxn2"/>
<variable units="flux" public_interface="in" name="delta_C2_rxn12"/>
<variable units="flux" public_interface="in" name="delta_C2_rxn4"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C2</ci>
</apply>
<apply>
<plus/>
<ci>delta_C2_rxn2</ci>
<ci>delta_C2_rxn12</ci>
<ci>delta_C2_rxn4</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="P_O3" name="P_O3">
<variable units="micromolar" public_interface="out" name="P_O3" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_P_O3_rxn16"/>
<variable units="flux" public_interface="in" name="delta_P_O3_rxn17"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_O3</ci>
</apply>
<apply>
<plus/>
<ci>delta_P_O3_rxn16</ci>
<ci>delta_P_O3_rxn17</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="P_O4" name="P_O4">
<variable units="micromolar" public_interface="out" name="P_O4" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_P_O4_rxn17"/>
<variable units="flux" public_interface="in" name="delta_P_O4_rxn18"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_O4</ci>
</apply>
<apply>
<plus/>
<ci>delta_P_O4_rxn17</ci>
<ci>delta_P_O4_rxn18</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="P_C2" name="P_C2">
<variable units="micromolar" public_interface="out" name="P_C2" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_P_C2_rxn15"/>
<variable units="flux" public_interface="in" name="delta_P_C2_rxn16"/>
<variable units="flux" public_interface="in" name="delta_P_C2_rxn19"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_C2</ci>
</apply>
<apply>
<plus/>
<ci>delta_P_C2_rxn15</ci>
<ci>delta_P_C2_rxn16</ci>
<ci>delta_P_C2_rxn19</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="P_C5" name="P_C5">
<variable units="micromolar" public_interface="out" name="P_C5" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_P_C5_rxn18"/>
<variable units="flux" public_interface="in" name="delta_P_C5_rxn19"/>
<variable units="flux" public_interface="in" name="delta_P_C5_rxn20"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_C5</ci>
</apply>
<apply>
<plus/>
<ci>delta_P_C5_rxn18</ci>
<ci>delta_P_C5_rxn19</ci>
<ci>delta_P_C5_rxn20</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="P_C1" name="P_C1">
<variable units="micromolar" public_interface="out" name="P_C1" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_P_C1_rxn15"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_C1</ci>
</apply>
<ci>delta_P_C1_rxn15</ci>
</apply>
</math>
</component>
<component cmeta:id="P_C6" name="P_C6">
<variable units="micromolar" public_interface="out" name="P_C6" initial_value="1.0"/>
<variable units="flux" public_interface="in" name="delta_P_C6_rxn20"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_C6</ci>
</apply>
<ci>delta_P_C6_rxn20</ci>
</apply>
</math>
</component>
<!--
The following components describe the channel state changes of the model.
-->
<component name="reaction_rate_constants">
<variable units="first_order_rate_constant" public_interface="out" name="alpha" initial_value="1.0"/>
<variable units="first_order_rate_constant" public_interface="out" name="gamma" initial_value="1.0"/>
<variable units="first_order_rate_constant" public_interface="out" name="beta" initial_value="1.0"/>
<variable units="first_order_rate_constant" public_interface="out" name="alpha_Ca" initial_value="1.0"/>
<variable units="first_order_rate_constant" public_interface="out" name="beta_Ca" initial_value="1.0"/>
<variable units="first_order_rate_constant" public_interface="out" name="omega" initial_value="10.0"/>
<variable units="first_order_rate_constant" public_interface="out" name="a" initial_value="2.0"/>
<variable units="first_order_rate_constant" public_interface="out" name="b" initial_value="2.0"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="micromolar" public_interface="in" name="Ca_SS"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="gamma_calculation">
<eq/>
<ci> gamma </ci>
<apply>
<times/>
<ci> Ca_SS </ci>
<cn cellml:units="second_order_rate_constant"> 1.0 </cn>
</apply>
</apply>
<apply id="alpha_calculation">
<eq/>
<ci> alpha </ci>
<apply>
<times/>
<cn cellml:units="first_order_rate_constant"> 0.4 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 6.0 </cn>
</apply>
<cn cellml:units="millivolt"> 25.0 </cn>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_calculation">
<eq/>
<ci> beta </ci>
<apply>
<times/>
<cn cellml:units="first_order_rate_constant"> 0.05 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 6.0 </cn>
</apply>
</apply>
<cn cellml:units="millivolt"> 29.0 </cn>
</apply>
</apply>
</apply>
</apply>
<apply id="alpha_Ca_calculation">
<eq/>
<ci> alpha_Ca </ci>
<apply>
<times/>
<ci> alpha </ci>
<ci> a </ci>
</apply>
</apply>
<apply id="beta_Ca_calculation">
<eq/>
<ci> beta_Ca </ci>
<apply>
<divide/>
<ci> beta </ci>
<ci> b </ci>
</apply>
</apply>
</math>
</component>
<component name="reaction0">
<variable units="micromolar" public_interface="in" name="C4"/>
<variable units="micromolar" public_interface="in" name="O"/>
<variable units="flux" public_interface="out" name="delta_C4_rxn0"/>
<variable units="flux" public_interface="out" name="delta_O_rxn0"/>
<variable units="first_order_rate_constant" name="k0" initial_value="300.0"/>
<variable units="first_order_rate_constant" name="k0_" initial_value="2000.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C4">
<role stoichiometry="1" direction="forward" delta_variable="delta_C4_rxn0" role="reactant"/>
</variable_ref>
<variable_ref variable="O">
<role stoichiometry="1" direction="forward" delta_variable="delta_O_rxn0" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k0</ci>
<ci>C4</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k0_</ci>
<ci>O</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
</component>
<component name="reaction1">
<variable units="micromolar" public_interface="in" name="C3"/>
<variable units="micromolar" public_interface="in" name="C4"/>
<variable units="flux" public_interface="out" name="delta_C3_rxn1"/>
<variable units="flux" public_interface="out" name="delta_C4_rxn1"/>
<variable units="first_order_rate_constant" public_interface="in" name="alpha"/>
<variable units="first_order_rate_constant" public_interface="in" name="beta"/>
<variable units="first_order_rate_constant" name="k1" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k1_" initial_value="1.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C3">
<role stoichiometry="1" direction="forward" delta_variable="delta_C3_rxn1" role="reactant"/>
</variable_ref>
<variable_ref variable="C4">
<role stoichiometry="1" direction="forward" delta_variable="delta_C4_rxn1" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k1</ci>
<ci>C3</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k1_</ci>
<ci>C4</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k1_calculation">
<eq/>
<ci> k1 </ci>
<ci> alpha </ci>
</apply>
<apply id="k1__calculation">
<eq/>
<ci> k1_ </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> beta </ci>
</apply>
</apply>
</math>
</component>
<component name="reaction2">
<variable units="micromolar" public_interface="in" name="C1"/>
<variable units="micromolar" public_interface="in" name="C2"/>
<variable units="flux" public_interface="out" name="delta_C1_rxn2"/>
<variable units="flux" public_interface="out" name="delta_C2_rxn2"/>
<variable units="first_order_rate_constant" public_interface="in" name="alpha"/>
<variable units="first_order_rate_constant" public_interface="in" name="beta"/>
<variable units="first_order_rate_constant" name="k2" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k2_" initial_value="1.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C1">
<role stoichiometry="1" direction="forward" delta_variable="delta_C1_rxn2" role="reactant"/>
</variable_ref>
<variable_ref variable="C2">
<role stoichiometry="1" direction="forward" delta_variable="delta_C2_rxn2" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k2</ci>
<ci>C1</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k2_</ci>
<ci>C2</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k2_calculation">
<eq/>
<ci> k2 </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha </ci>
</apply>
</apply>
<apply id="k2__calculation">
<eq/>
<ci> k2_ </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> beta </ci>
</apply>
</apply>
</math>
</component>
<component name="reaction3">
<variable units="micromolar" public_interface="in" name="C0"/>
<variable units="micromolar" public_interface="in" name="C1"/>
<variable units="flux" public_interface="out" name="delta_C0_rxn3"/>
<variable units="flux" public_interface="out" name="delta_C1_rxn3"/>
<variable units="first_order_rate_constant" public_interface="in" name="alpha"/>
<variable units="first_order_rate_constant" public_interface="in" name="beta"/>
<variable units="first_order_rate_constant" name="k3" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k3_" initial_value="1.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C0">
<role stoichiometry="1" direction="forward" delta_variable="delta_C0_rxn3" role="reactant"/>
</variable_ref>
<variable_ref variable="C1">
<role stoichiometry="1" direction="forward" delta_variable="delta_C1_rxn3" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k3</ci>
<ci>C0</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k3_</ci>
<ci>C1</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k3_calculation">
<eq/>
<ci> k3 </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha </ci>
</apply>
</apply>
<apply id="k3__calculation">
<eq/>
<ci> k3_ </ci>
<ci> beta </ci>
</apply>
</math>
</component>
<component name="reaction4">
<variable units="micromolar" public_interface="in" name="C2"/>
<variable units="micromolar" public_interface="in" name="C3"/>
<variable units="flux" public_interface="out" name="delta_C2_rxn4"/>
<variable units="flux" public_interface="out" name="delta_C3_rxn4"/>
<variable units="first_order_rate_constant" public_interface="in" name="alpha"/>
<variable units="first_order_rate_constant" public_interface="in" name="beta"/>
<variable units="first_order_rate_constant" name="k4" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k4_" initial_value="1.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C2">
<role stoichiometry="1" direction="forward" delta_variable="delta_C2_rxn4" role="reactant"/>
</variable_ref>
<variable_ref variable="C3">
<role stoichiometry="1" direction="forward" delta_variable="delta_C3_rxn4" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k4</ci>
<ci>C2</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k4_</ci>
<ci>C3</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k4_calculation">
<eq/>
<ci> k4 </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha </ci>
</apply>
</apply>
<apply id="k4__calculation">
<eq/>
<ci> k4_ </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> beta </ci>
</apply>
</apply>
</math>
</component>
<component name="reaction5">
<variable units="micromolar" public_interface="in" name="C_Ca4"/>
<variable units="micromolar" public_interface="in" name="O_Ca"/>
<variable units="flux" public_interface="out" name="delta_C_Ca4_rxn5"/>
<variable units="flux" public_interface="out" name="delta_O_Ca_rxn5"/>
<variable units="first_order_rate_constant" name="k5" initial_value="5.0"/>
<variable units="first_order_rate_constant" name="k5_" initial_value="7000.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C_Ca4">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca4_rxn5" role="reactant"/>
</variable_ref>
<variable_ref variable="O_Ca">
<role stoichiometry="1" direction="forward" delta_variable="delta_O_Ca_rxn5" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k5</ci>
<ci>C_Ca4</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k5_</ci>
<ci>O_Ca</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
</component>
<component name="reaction6">
<variable units="micromolar" public_interface="in" name="C_Ca3"/>
<variable units="micromolar" public_interface="in" name="C_Ca4"/>
<variable units="flux" public_interface="out" name="delta_C_Ca3_rxn6"/>
<variable units="flux" public_interface="out" name="delta_C_Ca4_rxn6"/>
<variable units="first_order_rate_constant" public_interface="in" name="alpha_Ca"/>
<variable units="first_order_rate_constant" public_interface="in" name="beta_Ca"/>
<variable units="first_order_rate_constant" name="k6" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k6_" initial_value="1.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C_Ca3">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca3_rxn6" role="reactant"/>
</variable_ref>
<variable_ref variable="C_Ca4">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca4_rxn6" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k6</ci>
<ci>C_Ca3</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k6_</ci>
<ci>C_Ca4</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k6_calculation">
<eq/>
<ci> k6 </ci>
<ci> alpha_Ca </ci>
</apply>
<apply id="k6__calculation">
<eq/>
<ci> k6_ </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> beta_Ca </ci>
</apply>
</apply>
</math>
</component>
<component name="reaction7">
<variable units="micromolar" public_interface="in" name="C_Ca2"/>
<variable units="micromolar" public_interface="in" name="C_Ca3"/>
<variable units="flux" public_interface="out" name="delta_C_Ca2_rxn7"/>
<variable units="flux" public_interface="out" name="delta_C_Ca3_rxn7"/>
<variable units="first_order_rate_constant" public_interface="in" name="alpha_Ca"/>
<variable units="first_order_rate_constant" public_interface="in" name="beta_Ca"/>
<variable units="first_order_rate_constant" name="k7" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k7_" initial_value="1.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C_Ca2">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca2_rxn7" role="reactant"/>
</variable_ref>
<variable_ref variable="C_Ca3">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca3_rxn7" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k7</ci>
<ci>C_Ca2</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k7_</ci>
<ci>C_Ca3</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k7_calculation">
<eq/>
<ci> k7 </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> alpha_Ca </ci>
</apply>
</apply>
<apply id="k7__calculation">
<eq/>
<ci> k7_ </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> beta_Ca </ci>
</apply>
</apply>
</math>
</component>
<component name="reaction8">
<variable units="micromolar" public_interface="in" name="C_Ca1"/>
<variable units="micromolar" public_interface="in" name="C_Ca2"/>
<variable units="flux" public_interface="out" name="delta_C_Ca1_rxn8"/>
<variable units="flux" public_interface="out" name="delta_C_Ca2_rxn8"/>
<variable units="first_order_rate_constant" public_interface="in" name="alpha_Ca"/>
<variable units="first_order_rate_constant" public_interface="in" name="beta_Ca"/>
<variable units="first_order_rate_constant" name="k8" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k8_" initial_value="1.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C_Ca1">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca1_rxn8" role="reactant"/>
</variable_ref>
<variable_ref variable="C_Ca2">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca2_rxn8" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k8</ci>
<ci>C_Ca1</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k8_</ci>
<ci>C_Ca2</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k8_calculation">
<eq/>
<ci> k8 </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3.0 </cn>
<ci> alpha_Ca </ci>
</apply>
</apply>
<apply id="k8__calculation">
<eq/>
<ci> k8_ </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> beta_Ca </ci>
</apply>
</apply>
</math>
</component>
<component name="reaction9">
<variable units="micromolar" public_interface="in" name="C_Ca0"/>
<variable units="micromolar" public_interface="in" name="C_Ca1"/>
<variable units="flux" public_interface="out" name="delta_C_Ca0_rxn9"/>
<variable units="flux" public_interface="out" name="delta_C_Ca1_rxn9"/>
<variable units="first_order_rate_constant" public_interface="in" name="alpha_Ca"/>
<variable units="first_order_rate_constant" public_interface="in" name="beta_Ca"/>
<variable units="first_order_rate_constant" name="k9" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k9_" initial_value="1.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C_Ca0">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca0_rxn9" role="reactant"/>
</variable_ref>
<variable_ref variable="C_Ca1">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca1_rxn9" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k9</ci>
<ci>C_Ca0</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k9_</ci>
<ci>C_Ca1</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k9_calculation">
<eq/>
<ci> k9 </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<ci> alpha_Ca </ci>
</apply>
</apply>
<apply id="k9__calculation">
<eq/>
<ci> k9_ </ci>
<ci> beta_Ca </ci>
</apply>
</math>
</component>
<component name="reaction10">
<variable units="micromolar" public_interface="in" name="C_Ca0"/>
<variable units="micromolar" public_interface="in" name="C0"/>
<variable units="flux" public_interface="out" name="delta_C_Ca0_rxn10"/>
<variable units="flux" public_interface="out" name="delta_C0_rxn10"/>
<variable units="first_order_rate_constant" public_interface="in" name="omega"/>
<variable units="first_order_rate_constant" public_interface="in" name="gamma"/>
<variable units="first_order_rate_constant" name="k10" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k10_" initial_value="1.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C_Ca0">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca0_rxn10" role="reactant"/>
</variable_ref>
<variable_ref variable="C0">
<role stoichiometry="1" direction="forward" delta_variable="delta_C0_rxn10" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k10</ci>
<ci>C_Ca0</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k10_</ci>
<ci>C0</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k10_calculation">
<eq/>
<ci> k10 </ci>
<ci> omega </ci>
</apply>
<apply id="k10__calculation">
<eq/>
<ci> k10_ </ci>
<ci> gamma </ci>
</apply>
</math>
</component>
<component name="reaction11">
<variable units="micromolar" public_interface="in" name="C_Ca1"/>
<variable units="micromolar" public_interface="in" name="C1"/>
<variable units="flux" public_interface="out" name="delta_C_Ca1_rxn11"/>
<variable units="flux" public_interface="out" name="delta_C1_rxn11"/>
<variable units="first_order_rate_constant" public_interface="in" name="omega"/>
<variable units="first_order_rate_constant" public_interface="in" name="gamma"/>
<variable units="first_order_rate_constant" public_interface="in" name="a"/>
<variable units="first_order_rate_constant" public_interface="in" name="b"/>
<variable units="first_order_rate_constant" name="k11" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k11_" initial_value="1.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C_Ca1">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca1_rxn11" role="reactant"/>
</variable_ref>
<variable_ref variable="C1">
<role stoichiometry="1" direction="forward" delta_variable="delta_C1_rxn11" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k11</ci>
<ci>C_Ca1</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k11_</ci>
<ci>C1</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k11_calculation">
<eq/>
<ci> k11 </ci>
<apply>
<divide/>
<ci> omega </ci>
<ci> b </ci>
</apply>
</apply>
<apply id="k11__calculation">
<eq/>
<ci> k11_ </ci>
<apply>
<times/>
<ci> gamma </ci>
<ci> a </ci>
</apply>
</apply>
</math>
</component>
<component name="reaction12">
<variable units="micromolar" public_interface="in" name="C_Ca2"/>
<variable units="micromolar" public_interface="in" name="C2"/>
<variable units="flux" public_interface="out" name="delta_C_Ca2_rxn12"/>
<variable units="flux" public_interface="out" name="delta_C2_rxn12"/>
<variable units="first_order_rate_constant" public_interface="in" name="omega"/>
<variable units="first_order_rate_constant" public_interface="in" name="gamma"/>
<variable units="first_order_rate_constant" public_interface="in" name="a"/>
<variable units="first_order_rate_constant" public_interface="in" name="b"/>
<variable units="first_order_rate_constant" name="k12" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k12_" initial_value="1.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C_Ca2">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca2_rxn12" role="reactant"/>
</variable_ref>
<variable_ref variable="C2">
<role stoichiometry="1" direction="forward" delta_variable="delta_C2_rxn12" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k12</ci>
<ci>C_Ca2</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k12_</ci>
<ci>C2</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k12_calculation">
<eq/>
<ci> k12 </ci>
<apply>
<divide/>
<ci> omega </ci>
<apply>
<power/>
<ci> b </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
<apply id="k12__calculation">
<eq/>
<ci> k12_ </ci>
<apply>
<times/>
<ci> gamma </ci>
<apply>
<power/>
<ci> a </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="reaction13">
<variable units="micromolar" public_interface="in" name="C_Ca3"/>
<variable units="micromolar" public_interface="in" name="C3"/>
<variable units="flux" public_interface="out" name="delta_C_Ca3_rxn13"/>
<variable units="flux" public_interface="out" name="delta_C3_rxn13"/>
<variable units="first_order_rate_constant" public_interface="in" name="omega"/>
<variable units="first_order_rate_constant" public_interface="in" name="gamma"/>
<variable units="first_order_rate_constant" public_interface="in" name="a"/>
<variable units="first_order_rate_constant" public_interface="in" name="b"/>
<variable units="first_order_rate_constant" name="k13" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k13_" initial_value="1.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C_Ca3">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca3_rxn13" role="reactant"/>
</variable_ref>
<variable_ref variable="C3">
<role stoichiometry="1" direction="forward" delta_variable="delta_C3_rxn13" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k13</ci>
<ci>C_Ca3</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k13_</ci>
<ci>C3</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k13_calculation">
<eq/>
<ci> k13 </ci>
<apply>
<divide/>
<ci> omega </ci>
<apply>
<power/>
<ci> b </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
</apply>
</apply>
<apply id="k13__calculation">
<eq/>
<ci> k13_ </ci>
<apply>
<times/>
<ci> gamma </ci>
<apply>
<power/>
<ci> a </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="reaction14">
<variable units="micromolar" public_interface="in" name="C_Ca4"/>
<variable units="micromolar" public_interface="in" name="C4"/>
<variable units="flux" public_interface="out" name="delta_C_Ca4_rxn14"/>
<variable units="flux" public_interface="out" name="delta_C4_rxn14"/>
<variable units="first_order_rate_constant" public_interface="in" name="omega"/>
<variable units="first_order_rate_constant" public_interface="in" name="gamma"/>
<variable units="first_order_rate_constant" public_interface="in" name="a"/>
<variable units="first_order_rate_constant" public_interface="in" name="b"/>
<variable units="first_order_rate_constant" name="k14" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k14_" initial_value="1.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="C_Ca4">
<role stoichiometry="1" direction="forward" delta_variable="delta_C_Ca4_rxn14" role="reactant"/>
</variable_ref>
<variable_ref variable="C4">
<role stoichiometry="1" direction="forward" delta_variable="delta_C4_rxn14" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k14</ci>
<ci>C_Ca4</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k14_</ci>
<ci>C4</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k14_calculation">
<eq/>
<ci> k14 </ci>
<apply>
<divide/>
<ci> omega </ci>
<apply>
<power/>
<ci> b </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
</apply>
<apply id="k14__calculation">
<eq/>
<ci> k14_ </ci>
<apply>
<times/>
<ci> gamma </ci>
<apply>
<power/>
<ci> a </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="reaction15">
<variable units="micromolar" public_interface="in" name="P_C1"/>
<variable units="micromolar" public_interface="in" name="P_C2"/>
<variable units="flux" public_interface="out" name="delta_P_C1_rxn15"/>
<variable units="flux" public_interface="out" name="delta_P_C2_rxn15"/>
<variable units="micromolar" public_interface="in" name="Ca_SS"/>
<variable units="first_order_rate_constant" name="k15" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k15_" initial_value="250000.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="P_C1">
<role stoichiometry="1" direction="forward" delta_variable="delta_P_C1_rxn15" role="reactant"/>
</variable_ref>
<variable_ref variable="P_C2">
<role stoichiometry="1" direction="forward" delta_variable="delta_P_C2_rxn15" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k15</ci>
<ci>P_C1</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k15_</ci>
<ci>P_C2</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k15_calculation">
<eq/>
<ci> k15 </ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="first_order_rate_constant"> 3000000.0 </cn>
<apply>
<power/>
<ci> Ca_SS </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<cn cellml:units="micromolar"> 2.68 </cn>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
<apply>
<power/>
<ci> Ca_SS </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="reaction16">
<variable units="micromolar" public_interface="in" name="P_C2"/>
<variable units="micromolar" public_interface="in" name="P_O3"/>
<variable units="flux" public_interface="out" name="delta_P_C2_rxn16"/>
<variable units="flux" public_interface="out" name="delta_P_O3_rxn16"/>
<variable units="micromolar" public_interface="in" name="Ca_SS"/>
<variable units="first_order_rate_constant" name="k16" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k16_" initial_value="9600.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="P_C2">
<role stoichiometry="1" direction="forward" delta_variable="delta_P_C2_rxn16" role="reactant"/>
</variable_ref>
<variable_ref variable="P_O3">
<role stoichiometry="1" direction="forward" delta_variable="delta_P_O3_rxn16" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k16</ci>
<ci>P_C2</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k16_</ci>
<ci>P_O3</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k16_calculation">
<eq/>
<ci> k16 </ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="first_order_rate_constant"> 30000000.0 </cn>
<apply>
<power/>
<ci> Ca_SS </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<cn cellml:units="micromolar"> 2.68 </cn>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
<apply>
<power/>
<ci> Ca_SS </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="reaction17">
<variable units="micromolar" public_interface="in" name="P_O3"/>
<variable units="micromolar" public_interface="in" name="P_O4"/>
<variable units="flux" public_interface="out" name="delta_P_O3_rxn17"/>
<variable units="flux" public_interface="out" name="delta_P_O4_rxn17"/>
<variable units="micromolar" public_interface="in" name="Ca_SS"/>
<variable units="first_order_rate_constant" name="k17" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k17_" initial_value="13000.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="P_O3">
<role stoichiometry="1" direction="forward" delta_variable="delta_P_O3_rxn17" role="reactant"/>
</variable_ref>
<variable_ref variable="P_O4">
<role stoichiometry="1" direction="forward" delta_variable="delta_P_O4_rxn17" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k17</ci>
<ci>P_O3</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k17_</ci>
<ci>P_O4</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k17_calculation">
<eq/>
<ci> k17 </ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="first_order_rate_constant"> 3000000.0 </cn>
<apply>
<power/>
<ci> Ca_SS </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<cn cellml:units="micromolar"> 2.68 </cn>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
<apply>
<power/>
<ci> Ca_SS </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="reaction18">
<variable units="micromolar" public_interface="in" name="P_O4"/>
<variable units="micromolar" public_interface="in" name="P_C5"/>
<variable units="flux" public_interface="out" name="delta_P_O4_rxn18"/>
<variable units="flux" public_interface="out" name="delta_P_C5_rxn18"/>
<variable units="micromolar" public_interface="in" name="Ca_SS"/>
<variable units="first_order_rate_constant" name="k18" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k18_" initial_value="66.67"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="P_O4">
<role stoichiometry="1" direction="forward" delta_variable="delta_P_O4_rxn18" role="reactant"/>
</variable_ref>
<variable_ref variable="P_C5">
<role stoichiometry="1" direction="forward" delta_variable="delta_P_C5_rxn18" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k18</ci>
<ci>P_O4</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k18_</ci>
<ci>P_C5</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k18_calculation">
<eq/>
<ci> k18 </ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="first_order_rate_constant"> 198.0 </cn>
<apply>
<power/>
<ci> Ca_SS </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<cn cellml:units="micromolar"> 2.68 </cn>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
<apply>
<power/>
<ci> Ca_SS </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="reaction19">
<variable units="micromolar" public_interface="in" name="P_C2"/>
<variable units="micromolar" public_interface="in" name="P_C5"/>
<variable units="flux" public_interface="out" name="delta_P_C2_rxn19"/>
<variable units="flux" public_interface="out" name="delta_P_C5_rxn19"/>
<variable units="micromolar" public_interface="in" name="Ca_SS"/>
<variable units="first_order_rate_constant" name="k19" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k19_" initial_value="1.235"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="P_C2">
<role stoichiometry="1" direction="forward" delta_variable="delta_P_C2_rxn19" role="reactant"/>
</variable_ref>
<variable_ref variable="P_C5">
<role stoichiometry="1" direction="forward" delta_variable="delta_P_C5_rxn19" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k19</ci>
<ci>P_C2</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k19_</ci>
<ci>P_C5</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k19_calculation">
<eq/>
<ci> k19 </ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="first_order_rate_constant"> 300000.0 </cn>
<apply>
<power/>
<ci> Ca_SS </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<cn cellml:units="micromolar"> 2.68 </cn>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
<apply>
<power/>
<ci> Ca_SS </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="reaction20">
<variable units="micromolar" public_interface="in" name="P_C5"/>
<variable units="micromolar" public_interface="in" name="P_C6"/>
<variable units="flux" public_interface="out" name="delta_P_C5_rxn20"/>
<variable units="flux" public_interface="out" name="delta_P_C6_rxn20"/>
<variable units="micromolar" public_interface="in" name="Ca_SS"/>
<variable units="first_order_rate_constant" name="k20" initial_value="1.0"/>
<variable units="first_order_rate_constant" name="k20_" initial_value="3000000.0"/>
<variable units="flux" name="rate"/>
<reaction reversible="yes">
<variable_ref variable="P_C5">
<role stoichiometry="1" direction="forward" delta_variable="delta_P_C5_rxn20" role="reactant"/>
</variable_ref>
<variable_ref variable="P_C6">
<role stoichiometry="1" direction="forward" delta_variable="delta_P_C6_rxn20" role="product"/>
</variable_ref>
<variable_ref variable="rate">
<role role="rate">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rate</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k20</ci>
<ci>P_C5</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k20_</ci>
<ci>P_C6</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</role>
</variable_ref>
</reaction>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="k20_calculation">
<eq/>
<ci> k20 </ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="first_order_rate_constant"> 3000000.0 </cn>
<apply>
<power/>
<ci> Ca_SS </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<cn cellml:units="micromolar"> 2.68 </cn>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
<apply>
<power/>
<ci> Ca_SS </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_2="environment" component_1="subspace"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sarcoplasmic_reticulum"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="sarcolemma" component_1="subspace"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="Ca_o" variable_1="Ca_o"/>
</connection>
<connection>
<map_components component_2="sarcoplasmic_reticulum" component_1="subspace"/>
<map_variables variable_2="J_RyR" variable_1="J_RyR"/>
<map_variables variable_2="V_SS" variable_1="V_SS"/>
<map_variables variable_2="Ca_JSR" variable_1="Ca_JSR"/>
</connection>
<connection>
<map_components component_2="reaction10" component_1="C0"/>
<map_variables variable_2="C0" variable_1="C0"/>
<map_variables variable_2="delta_C0_rxn10" variable_1="delta_C0_rxn10"/>
</connection>
<connection>
<map_components component_2="reaction3" component_1="C0"/>
<map_variables variable_2="C0" variable_1="C0"/>
<map_variables variable_2="delta_C0_rxn3" variable_1="delta_C0_rxn3"/>
</connection>
<connection>
<map_components component_2="reaction3" component_1="C1"/>
<map_variables variable_2="C1" variable_1="C1"/>
<map_variables variable_2="delta_C1_rxn3" variable_1="delta_C1_rxn3"/>
</connection>
<connection>
<map_components component_2="reaction11" component_1="C1"/>
<map_variables variable_2="C1" variable_1="C1"/>
<map_variables variable_2="delta_C1_rxn11" variable_1="delta_C1_rxn11"/>
</connection>
<connection>
<map_components component_2="reaction2" component_1="C1"/>
<map_variables variable_2="C1" variable_1="C1"/>
<map_variables variable_2="delta_C1_rxn2" variable_1="delta_C1_rxn2"/>
</connection>
<connection>
<map_components component_2="reaction4" component_1="C3"/>
<map_variables variable_2="C3" variable_1="C3"/>
<map_variables variable_2="delta_C3_rxn4" variable_1="delta_C3_rxn4"/>
</connection>
<connection>
<map_components component_2="reaction13" component_1="C3"/>
<map_variables variable_2="C3" variable_1="C3"/>
<map_variables variable_2="delta_C3_rxn13" variable_1="delta_C3_rxn13"/>
</connection>
<connection>
<map_components component_2="reaction1" component_1="C3"/>
<map_variables variable_2="C3" variable_1="C3"/>
<map_variables variable_2="delta_C3_rxn1" variable_1="delta_C3_rxn1"/>
</connection>
<connection>
<map_components component_2="reaction1" component_1="C4"/>
<map_variables variable_2="C4" variable_1="C4"/>
<map_variables variable_2="delta_C4_rxn1" variable_1="delta_C4_rxn1"/>
</connection>
<connection>
<map_components component_2="reaction14" component_1="C4"/>
<map_variables variable_2="C4" variable_1="C4"/>
<map_variables variable_2="delta_C4_rxn14" variable_1="delta_C4_rxn14"/>
</connection>
<connection>
<map_components component_2="reaction0" component_1="C4"/>
<map_variables variable_2="C4" variable_1="C4"/>
<map_variables variable_2="delta_C4_rxn0" variable_1="delta_C4_rxn0"/>
</connection>
<connection>
<map_components component_2="reaction0" component_1="O"/>
<map_variables variable_2="O" variable_1="O"/>
<map_variables variable_2="delta_O_rxn0" variable_1="delta_O_rxn0"/>
</connection>
<connection>
<map_components component_2="reaction9" component_1="C_Ca0"/>
<map_variables variable_2="C_Ca0" variable_1="C_Ca0"/>
<map_variables variable_2="delta_C_Ca0_rxn9" variable_1="delta_C_Ca0_rxn9"/>
</connection>
<connection>
<map_components component_2="reaction10" component_1="C_Ca0"/>
<map_variables variable_2="C_Ca0" variable_1="C_Ca0"/>
<map_variables variable_2="delta_C_Ca0_rxn10" variable_1="delta_C_Ca0_rxn10"/>
</connection>
<connection>
<map_components component_2="reaction9" component_1="C_Ca1"/>
<map_variables variable_2="C_Ca1" variable_1="C_Ca1"/>
<map_variables variable_2="delta_C_Ca1_rxn9" variable_1="delta_C_Ca1_rxn9"/>
</connection>
<connection>
<map_components component_2="reaction8" component_1="C_Ca1"/>
<map_variables variable_2="C_Ca1" variable_1="C_Ca1"/>
<map_variables variable_2="delta_C_Ca1_rxn8" variable_1="delta_C_Ca1_rxn8"/>
</connection>
<connection>
<map_components component_2="reaction11" component_1="C_Ca1"/>
<map_variables variable_2="C_Ca1" variable_1="C_Ca1"/>
<map_variables variable_2="delta_C_Ca1_rxn11" variable_1="delta_C_Ca1_rxn11"/>
</connection>
<connection>
<map_components component_2="reaction8" component_1="C_Ca2"/>
<map_variables variable_2="C_Ca2" variable_1="C_Ca2"/>
<map_variables variable_2="delta_C_Ca2_rxn8" variable_1="delta_C_Ca2_rxn8"/>
</connection>
<connection>
<map_components component_2="reaction7" component_1="C_Ca2"/>
<map_variables variable_2="C_Ca2" variable_1="C_Ca2"/>
<map_variables variable_2="delta_C_Ca2_rxn7" variable_1="delta_C_Ca2_rxn7"/>
</connection>
<connection>
<map_components component_2="reaction12" component_1="C_Ca2"/>
<map_variables variable_2="C_Ca2" variable_1="C_Ca2"/>
<map_variables variable_2="delta_C_Ca2_rxn12" variable_1="delta_C_Ca2_rxn12"/>
</connection>
<connection>
<map_components component_2="reaction7" component_1="C_Ca3"/>
<map_variables variable_2="C_Ca3" variable_1="C_Ca3"/>
<map_variables variable_2="delta_C_Ca3_rxn7" variable_1="delta_C_Ca3_rxn7"/>
</connection>
<connection>
<map_components component_2="reaction6" component_1="C_Ca3"/>
<map_variables variable_2="C_Ca3" variable_1="C_Ca3"/>
<map_variables variable_2="delta_C_Ca3_rxn6" variable_1="delta_C_Ca3_rxn6"/>
</connection>
<connection>
<map_components component_2="reaction13" component_1="C_Ca3"/>
<map_variables variable_2="C_Ca3" variable_1="C_Ca3"/>
<map_variables variable_2="delta_C_Ca3_rxn13" variable_1="delta_C_Ca3_rxn13"/>
</connection>
<connection>
<map_components component_2="reaction6" component_1="C_Ca4"/>
<map_variables variable_2="C_Ca4" variable_1="C_Ca4"/>
<map_variables variable_2="delta_C_Ca4_rxn6" variable_1="delta_C_Ca4_rxn6"/>
</connection>
<connection>
<map_components component_2="reaction5" component_1="C_Ca4"/>
<map_variables variable_2="C_Ca4" variable_1="C_Ca4"/>
<map_variables variable_2="delta_C_Ca4_rxn5" variable_1="delta_C_Ca4_rxn5"/>
</connection>
<connection>
<map_components component_2="reaction14" component_1="C_Ca4"/>
<map_variables variable_2="C_Ca4" variable_1="C_Ca4"/>
<map_variables variable_2="delta_C_Ca4_rxn14" variable_1="delta_C_Ca4_rxn14"/>
</connection>
<connection>
<map_components component_2="reaction5" component_1="O_Ca"/>
<map_variables variable_2="O_Ca" variable_1="O_Ca"/>
<map_variables variable_2="delta_O_Ca_rxn5" variable_1="delta_O_Ca_rxn5"/>
</connection>
<connection>
<map_components component_2="reaction2" component_1="C2"/>
<map_variables variable_2="C2" variable_1="C2"/>
<map_variables variable_2="delta_C2_rxn2" variable_1="delta_C2_rxn2"/>
</connection>
<connection>
<map_components component_2="reaction12" component_1="C2"/>
<map_variables variable_2="C2" variable_1="C2"/>
<map_variables variable_2="delta_C2_rxn12" variable_1="delta_C2_rxn12"/>
</connection>
<connection>
<map_components component_2="reaction4" component_1="C2"/>
<map_variables variable_2="C2" variable_1="C2"/>
<map_variables variable_2="delta_C2_rxn4" variable_1="delta_C2_rxn4"/>
</connection>
<connection>
<map_components component_2="reaction16" component_1="P_O3"/>
<map_variables variable_2="P_O3" variable_1="P_O3"/>
<map_variables variable_2="delta_P_O3_rxn16" variable_1="delta_P_O3_rxn16"/>
</connection>
<connection>
<map_components component_2="reaction17" component_1="P_O3"/>
<map_variables variable_2="P_O3" variable_1="P_O3"/>
<map_variables variable_2="delta_P_O3_rxn17" variable_1="delta_P_O3_rxn17"/>
</connection>
<connection>
<map_components component_2="reaction17" component_1="P_O4"/>
<map_variables variable_2="P_O4" variable_1="P_O4"/>
<map_variables variable_2="delta_P_O4_rxn17" variable_1="delta_P_O4_rxn17"/>
</connection>
<connection>
<map_components component_2="reaction18" component_1="P_O4"/>
<map_variables variable_2="P_O4" variable_1="P_O4"/>
<map_variables variable_2="delta_P_O4_rxn18" variable_1="delta_P_O4_rxn18"/>
</connection>
<connection>
<map_components component_2="reaction15" component_1="P_C2"/>
<map_variables variable_2="P_C2" variable_1="P_C2"/>
<map_variables variable_2="delta_P_C2_rxn15" variable_1="delta_P_C2_rxn15"/>
</connection>
<connection>
<map_components component_2="reaction16" component_1="P_C2"/>
<map_variables variable_2="P_C2" variable_1="P_C2"/>
<map_variables variable_2="delta_P_C2_rxn16" variable_1="delta_P_C2_rxn16"/>
</connection>
<connection>
<map_components component_2="reaction19" component_1="P_C2"/>
<map_variables variable_2="P_C2" variable_1="P_C2"/>
<map_variables variable_2="delta_P_C2_rxn19" variable_1="delta_P_C2_rxn19"/>
</connection>
<connection>
<map_components component_2="reaction18" component_1="P_C5"/>
<map_variables variable_2="P_C5" variable_1="P_C5"/>
<map_variables variable_2="delta_P_C5_rxn18" variable_1="delta_P_C5_rxn18"/>
</connection>
<connection>
<map_components component_2="reaction19" component_1="P_C5"/>
<map_variables variable_2="P_C5" variable_1="P_C5"/>
<map_variables variable_2="delta_P_C5_rxn19" variable_1="delta_P_C5_rxn19"/>
</connection>
<connection>
<map_components component_2="reaction20" component_1="P_C5"/>
<map_variables variable_2="P_C5" variable_1="P_C5"/>
<map_variables variable_2="delta_P_C5_rxn20" variable_1="delta_P_C5_rxn20"/>
</connection>
<connection>
<map_components component_2="reaction15" component_1="P_C1"/>
<map_variables variable_2="P_C1" variable_1="P_C1"/>
<map_variables variable_2="delta_P_C1_rxn15" variable_1="delta_P_C1_rxn15"/>
</connection>
<connection>
<map_components component_2="reaction20" component_1="P_C6"/>
<map_variables variable_2="P_C6" variable_1="P_C6"/>
<map_variables variable_2="delta_P_C6_rxn20" variable_1="delta_P_C6_rxn20"/>
</connection>
<connection>
<map_components component_2="environment" component_1="C0"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="C1"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="C3"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="C4"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="O"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="C_Ca0"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="C_Ca1"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="C_Ca2"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="C_Ca3"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="C_Ca4"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="O_Ca"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="C2"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="P_O3"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="P_O4"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="P_C2"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="P_C5"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="P_C1"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="P_C6"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="sarcolemma" component_1="reaction_rate_constants"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="subspace" component_1="reaction_rate_constants"/>
<map_variables variable_2="Ca_SS" variable_1="Ca_SS"/>
</connection>
<connection>
<map_components component_2="reaction1" component_1="reaction_rate_constants"/>
<map_variables variable_2="alpha" variable_1="alpha"/>
<map_variables variable_2="beta" variable_1="beta"/>
</connection>
<connection>
<map_components component_2="reaction2" component_1="reaction_rate_constants"/>
<map_variables variable_2="alpha" variable_1="alpha"/>
<map_variables variable_2="beta" variable_1="beta"/>
</connection>
<connection>
<map_components component_2="reaction3" component_1="reaction_rate_constants"/>
<map_variables variable_2="alpha" variable_1="alpha"/>
<map_variables variable_2="beta" variable_1="beta"/>
</connection>
<connection>
<map_components component_2="reaction4" component_1="reaction_rate_constants"/>
<map_variables variable_2="alpha" variable_1="alpha"/>
<map_variables variable_2="beta" variable_1="beta"/>
</connection>
<connection>
<map_components component_2="reaction6" component_1="reaction_rate_constants"/>
<map_variables variable_2="alpha_Ca" variable_1="alpha_Ca"/>
<map_variables variable_2="beta_Ca" variable_1="beta_Ca"/>
</connection>
<connection>
<map_components component_2="reaction7" component_1="reaction_rate_constants"/>
<map_variables variable_2="alpha_Ca" variable_1="alpha_Ca"/>
<map_variables variable_2="beta_Ca" variable_1="beta_Ca"/>
</connection>
<connection>
<map_components component_2="reaction8" component_1="reaction_rate_constants"/>
<map_variables variable_2="alpha_Ca" variable_1="alpha_Ca"/>
<map_variables variable_2="beta_Ca" variable_1="beta_Ca"/>
</connection>
<connection>
<map_components component_2="reaction9" component_1="reaction_rate_constants"/>
<map_variables variable_2="alpha_Ca" variable_1="alpha_Ca"/>
<map_variables variable_2="beta_Ca" variable_1="beta_Ca"/>
</connection>
<connection>
<map_components component_2="reaction10" component_1="reaction_rate_constants"/>
<map_variables variable_2="omega" variable_1="omega"/>
<map_variables variable_2="gamma" variable_1="gamma"/>
</connection>
<connection>
<map_components component_2="reaction11" component_1="reaction_rate_constants"/>
<map_variables variable_2="omega" variable_1="omega"/>
<map_variables variable_2="gamma" variable_1="gamma"/>
<map_variables variable_2="a" variable_1="a"/>
<map_variables variable_2="b" variable_1="b"/>
</connection>
<connection>
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The Rice et al. 1999 model of the functional Ca2+ release unit.
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Modeling Gain and Gradedness of Ca2+ Release in the Functional Unit of the Cardiac Diadic Space
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Fixed "J_RyR_calculation".
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The University of Auckland, Bioengineering Institute
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