- Author:
- Megan Guidry <mgui210@aucklanduni.ac.nz>
- Date:
- 2017-10-30 12:00:49+13:00
- Desc:
- Added readme.txt
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/4ca/rawfile/d283cfc042dc63c7b583a2703586f1f42faee068/src/Model_Versions/Cai_Fixed.cellml
<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#"
xmlns:cellml="http://www.cellml.org/cellml/1.1#" cmeta:id="riceCalciumTransient"
name="rice_cai">
<units name="millisecond">
<unit units="second" prefix="milli" />
</units>
<units name="micromolar">
<unit units="mole" prefix="micro" />
<unit units="litre" exponent="-1" />
</units>
<units name="mV">
<unit prefix="milli" units="volt"/>
</units>
<import xlink:href="../Rogers/experiments/multiple-stimulus.xml" xmlns:xlink="http://www.w3.org/1999/xlink">
<component name="AP" component_ref="interface"/>
</import>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="interface">
<component_ref component="AP"/>
</component_ref>
</group>
<component name="interface">
<variable units="mV" name="Vm" private_interface="in" public_interface="out"/>
<variable name="time" public_interface="in"
private_interface="out" units="millisecond" />
<variable name="iteration_time" public_interface="out"
private_interface="in" units="millisecond" /> <!-- cycle/ local time -->
<variable name="tstart" public_interface="in"
private_interface="out" units="millisecond" />
<variable name="Tau1" public_interface="in"
private_interface="out" units="millisecond" /> <!--time constant - the smaller the wider -->
<variable name="Tau2" public_interface="in"
private_interface="out" units="millisecond" /> <!--time constant -->
<variable name="Tau3" public_interface="in"
private_interface="out" units="millisecond" /> <!--time constant -->
<variable name="Ca_dia" public_interface="in"
private_interface="out" units="micromolar" /> <!-- diastolic Ca2+ -->
<variable name="a1" public_interface="in"
private_interface="out" units="dimensionless" /> <!-- amplitude -->
<variable name="b" public_interface="in"
private_interface="out" units="millisecond" /> <!-- time point for connecting the 1st and 2nd functions -->
<variable name="k1" public_interface="in"
private_interface="out" units="dimensionless" /> <!-- symmetry - the larger the more symmetric -->
<variable name="c" public_interface="in"
private_interface="out" units="millisecond" /> <!-- time point for connecting the 2nd and 3rd functions -->
<variable name="Cai" public_interface="out"
private_interface="in" units="micromolar" />
<variable name="t" public_interface="out"
private_interface="in" units="millisecond" /> <!-- iteration_time - tstart -->
</component>
<connection>
<map_components component_1="interface" component_2="transient"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="iteration_time" variable_2="iteration_time"/>
<map_variables variable_1="tstart" variable_2="tstart"/>
<map_variables variable_1="Tau1" variable_2="Tau1"/>
<map_variables variable_1="Tau2" variable_2="Tau2"/>
<map_variables variable_1="Tau3" variable_2="Tau3"/>
<map_variables variable_1="Ca_dia" variable_2="Ca_dia"/>
<map_variables variable_1="a1" variable_2="a1"/>
<map_variables variable_1="b" variable_2="b"/>
<map_variables variable_1="k1" variable_2="k1"/>
<map_variables variable_1="c" variable_2="c"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
<map_variables variable_1="t" variable_2="t"/>
</connection>
<component name="transient">
<variable name="iteration_time" public_interface="out" initial_value="0" units="millisecond" />
<variable name="time" public_interface="in" units="millisecond" />
<variable name="tstart" public_interface="in" units="millisecond" />
<variable name="Tau1" public_interface="in" units="millisecond" />
<variable name="Tau2" public_interface="in" units="millisecond" />
<variable name="Tau3" public_interface="in" units="millisecond" />
<variable name="Ca_dia" public_interface="in" units="micromolar" />
<variable name="a1" public_interface="in" units="dimensionless" />
<variable name="b" public_interface="in" units="millisecond" />
<variable name="k1" public_interface="in" units="dimensionless" />
<variable name="a2" units="dimensionless" />
<variable name="c" public_interface="in" units="millisecond" />
<variable name="a3" units="dimensionless" />
<variable name="Cai" public_interface="out" units="micromolar" />
<variable name="t" public_interface="out" initial_value="0" units="millisecond" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><eq/>
<ci>a2</ci>
<apply><times/>
<ci>a1</ci>
<apply><power/>
<ci>b</ci>
<apply><minus/>
<ci>k1</ci>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
<apply><exp/>
<apply><divide/>
<apply><times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>b</ci>
</apply>
<ci>Tau1</ci>
</apply>
</apply>
</apply>
</apply>
<apply><eq/>
<ci>a3</ci>
<apply><times/>
<ci>a2</ci>
<apply><exp/>
<apply><divide/>
<apply><times/>
<cn cellml:units="dimensionless">-1.0</cn>
<apply><minus/>
<ci>c</ci>
<ci>b</ci>
</apply>
</apply>
<ci>Tau2</ci>
</apply>
</apply>
</apply>
</apply>
<apply><eq/>
<ci>Cai</ci>
<piecewise>
<piece>
<ci>Ca_dia</ci>
<apply><lt/>
<ci>iteration_time</ci>
<ci>tstart</ci>
</apply>
</piece>
<piece>
<apply><plus/>
<apply><times/>
<ci>a1</ci>
<apply><power/>
<ci>t</ci>
<apply><minus/>
<ci>k1</ci>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
<apply><exp/>
<apply><divide/>
<apply><times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>t</ci>
</apply>
<ci>Tau1</ci>
</apply>
</apply>
</apply>
<ci>Ca_dia</ci>
</apply>
<apply>
<and/>
<apply>
<gt/>
<ci>iteration_time</ci>
<ci>tstart</ci>
</apply>
<apply>
<leq/>
<ci>iteration_time</ci>
<apply><plus/>
<ci>b</ci>
<ci>tstart</ci>
</apply>
</apply>
</apply>
</piece>
<piece>
<apply><plus/>
<apply><times/>
<ci>a2</ci>
<apply><exp/>
<apply><divide/>
<apply><times/>
<cn cellml:units="dimensionless">-1.0</cn>
<apply><minus/>
<ci>t</ci>
<ci>b</ci>
</apply>
</apply>
<ci>Tau2</ci>
</apply>
</apply>
</apply>
<ci>Ca_dia</ci>
</apply>
<apply>
<and/>
<apply>
<gt/>
<ci>iteration_time</ci>
<apply><plus/>
<ci>b</ci>
<ci>tstart</ci>
</apply>
</apply>
<apply>
<leq/>
<ci>iteration_time</ci>
<apply><plus/>
<ci>c</ci>
<ci>tstart</ci>
</apply>
</apply>
</apply>
</piece>
<piece>
<apply><plus/>
<apply><times/>
<ci>a3</ci>
<apply><exp/>
<apply><divide/>
<apply><times/>
<cn cellml:units="dimensionless">-1.0</cn>
<apply><minus/>
<ci>t</ci>
<ci>c</ci>
</apply>
</apply>
<ci>Tau3</ci>
</apply>
</apply>
</apply>
<ci>Ca_dia</ci>
</apply>
<apply>
<gt/>
<ci>iteration_time</ci>
<apply><plus/>
<ci>c</ci>
<ci>tstart</ci>
</apply>
</apply>
</piece>
</piecewise>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation" />
<component_ref component="interface">
<component_ref component="transient" />
</component_ref>
</group>
<connection>
<map_components component_1="AP" component_2="interface"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="Vm" variable_2="Vm"/>
</connection>
</model>
