Location: 12 L Platform 1 model codes @ 507ac7eefb10 / USMC / Vm_stim_experiment.cellml

Author:
aram148 <a.rampadarath@auckland.ac.nz>
Date:
2021-10-11 21:43:42+13:00
Desc:
Create VSM - Exported.cellml
Permanent Source URI:
http://models.cellml.org/workspace/6b0/rawfile/507ac7eefb10930c9eb5d5d9a7113ad5203639bd/USMC/Vm_stim_experiment.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="Vm_stim_experiment" 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.cellml">
        <units name="mV" units_ref="mV"/>
        <units name="mM" units_ref="mM"/>
        <units name="mM_per_s_mV" units_ref="mM_per_s_mV"/>
        <units name="mV_per_s" units_ref="mV_per_s"/>
    </import>
    <import xlink:href="EC_uSMC.cellml">
        <component component_ref="EC_uSMC" name="EC_uSMC"/>
        <component component_ref="K_1" name="K_1"/>
    </import>
    <import xlink:href="time.cellml">
        <component component_ref="time_s" name="time_s"/>
    </import>
    <import xlink:href="default_values.cellml">
        <component component_ref="model_para" name="model_para"/>
        <component component_ref="initials" name="initials"/>
        <component component_ref="constants" name="constants"/>
    </import>
    <!-- Connect the time source variable to the model and stimulus protocol -->
    <component name="Vm">
        <variable name="time" public_interface="in" units="second"/>
        <variable name="V" public_interface="out" units="mV"/>
        <variable name="p1" units="mV_per_s"/>
        <variable name="p2" units="mV"/>
        <variable name="t0" units="second"/>
        <variable initial_value="0" name="tss" units="second"/>
        <!--        V = -60{mV}*(time <= 50{second})+-30{mV}*((time >= 50{second}) and (time <= 400{second}))+-60{mV}*(time >= 400{second});-->
        <!--        V = -60{mV}*1{dimensionless}/(1{dimensionless}+exp(time-25{mV}))*(time < 50{second})+-60{mV}*1{dimensionless}/(1{dimensionless}+exp(-(time-50{mV})))*(time >= 50{second});-->
        <!--+-60{mV}*1{dimensionless}/(1{dimensionless}+exp(time-40{mV}))*(time < 40{second})+-60{mV}*1{dimensionless}/(1{dimensionless}+exp(-(time-80{mV})))*(time >= 80{second});-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>V</ci>
                <apply>
                    <plus/>
                    <apply>
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                        <apply>
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                                <minus/>
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                                <ci>t0</ci>
                            </apply>
                            <ci>tss</ci>
                        </apply>
                    </apply>
                    <ci>p2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
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                        <cn cellml:units="second">21.9031</cn>
                        <apply>
                            <and/>
                            <apply>
                                <geq/>
                                <apply>
                                    <minus/>
                                    <ci>time</ci>
                                    <ci>tss</ci>
                                </apply>
                                <cn cellml:units="second">21.9031</cn>
                            </apply>
                            <apply>
                                <lt/>
                                <apply>
                                    <minus/>
                                    <ci>time</ci>
                                    <ci>tss</ci>
                                </apply>
                                <cn cellml:units="second">55.9040</cn>
                            </apply>
                        </apply>
                    </piece>
                    <piece>
                        <cn cellml:units="second">55.9040</cn>
                        <apply>
                            <and/>
                            <apply>
                                <geq/>
                                <apply>
                                    <minus/>
                                    <ci>time</ci>
                                    <ci>tss</ci>
                                </apply>
                                <cn cellml:units="second">55.9040</cn>
                            </apply>
                            <apply>
                                <lt/>
                                <apply>
                                    <minus/>
                                    <ci>time</ci>
                                    <ci>tss</ci>
                                </apply>
                                <cn cellml:units="second">56.2151</cn>
                            </apply>
                        </apply>
                    </piece>
                    <piece>
                        <cn cellml:units="second">56.2151</cn>
                        <apply>
                            <and/>
                            <apply>
                                <geq/>
                                <apply>
                                    <minus/>
                                    <ci>time</ci>
                                    <ci>tss</ci>
                                </apply>
                                <cn cellml:units="second">56.2151</cn>
                            </apply>
                            <apply>
                                <lt/>
                                <apply>
                                    <minus/>
                                    <ci>time</ci>
                                    <ci>tss</ci>
                                </apply>
                                <cn cellml:units="second">62.6048</cn>
                            </apply>
                        </apply>
                    </piece>
                    <piece>
                        <cn cellml:units="second">62.6048</cn>
                        <apply>
                            <and/>
                            <apply>
                                <geq/>
                                <apply>
                                    <minus/>
                                    <ci>time</ci>
                                    <ci>tss</ci>
                                </apply>
                                <cn cellml:units="second">62.6048</cn>
                            </apply>
                            <apply>
                                <lt/>
                                <apply>
                                    <minus/>
                                    <ci>time</ci>
                                    <ci>tss</ci>
                                </apply>
                                <cn cellml:units="second">82.4301</cn>
                            </apply>
                        </apply>
                    </piece>
                    <piece>
                        <cn cellml:units="second">82.4299</cn>
                        <apply>
                            <and/>
                            <apply>
                                <geq/>
                                <apply>
                                    <minus/>
                                    <ci>time</ci>
                                    <ci>tss</ci>
                                </apply>
                                <cn cellml:units="second">82.4301</cn>
                            </apply>
                            <apply>
                                <lt/>
                                <apply>
                                    <minus/>
                                    <ci>time</ci>
                                    <ci>tss</ci>
                                </apply>
                                <cn cellml:units="second">113.9610</cn>
                            </apply>
                        </apply>
                    </piece>
                    <otherwise>
                        <cn cellml:units="second">0</cn>
                    </otherwise>
                </piecewise>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="time_s" component_2="Vm"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="time_s" component_2="EC_uSMC"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <component name="control_para">
        <variable initial_value="2.9836" name="Nai" public_interface="out" units="mM"/>
        <variable initial_value="1" name="inhPump" public_interface="out" units="dimensionless"/>
        <variable initial_value="11" name="K_Cahalf" public_interface="out" units="mV"/>
    </component>
    <connection>
        <map_components component_1="control_para" component_2="EC_uSMC"/>
        <map_variables variable_1="Nai" variable_2="Nai"/>
        <map_variables variable_1="inhPump" variable_2="inhPump"/>
        <map_variables variable_1="K_Cahalf" variable_2="K_Cahalf"/>
    </connection>
    <!-- and connect the actual stimulus current to the model -->
    <connection>
        <map_components component_1="Vm" component_2="EC_uSMC"/>
        <map_variables variable_1="V" variable_2="V"/>
    </connection>
    <!-- SED-ML (and CSim simulation description above) is only able to address variables at the top level of the model hierarchy, so we need to define the variables we want SED-ML to be able to address here. -->
    <component name="outputs">
        <variable name="time" public_interface="in" units="second"/>
        <variable name="V" public_interface="in" units="mV"/>
        <variable name="Cai" public_interface="in" units="mM"/>
        <variable name="J_VOCC" public_interface="in" units="mM_per_s"/>
        <variable name="J_CaPump" public_interface="in" units="mM_per_s"/>
        <variable name="J_NaCa" public_interface="in" units="mM_per_s"/>
        <variable name="K_1" public_interface="in" units="per_s"/>
        <!--        var stress: dimensionless {pub: in};
        var phosphorylation: dimensionless {pub: in};-->
    </component>
    <!-- and connect the output variable definitions to their actual source in the model -->
    <connection>
        <map_components component_1="EC_uSMC" component_2="outputs"/>
        <map_variables variable_1="Cai" variable_2="Cai"/>
        <map_variables variable_1="J_VOCC" variable_2="J_VOCC"/>
        <map_variables variable_1="J_CaPump" variable_2="J_CaPump"/>
        <map_variables variable_1="J_NaCa" variable_2="J_NaCa"/>
        <!--        vars stress and stress;
        vars phosphorylation and phosphorylation;-->
    </connection>
    <connection>
        <map_components component_1="outputs" component_2="K_1"/>
        <map_variables variable_1="K_1" variable_2="K_1"/>
    </connection>
    <connection>
        <map_components component_1="outputs" component_2="time_s"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <!-- and connect the time output to the source time variable -->
    <connection>
        <map_components component_1="Vm" component_2="outputs"/>
        <map_variables variable_1="V" variable_2="V"/>
    </connection>
    <!-- We connect the default parameters through to the model-->
    <connection>
        <map_components component_1="model_para" component_2="EC_uSMC"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="Nao" variable_2="Nao"/>
        <map_variables variable_1="Cao" variable_2="Cao"/>
        <map_variables variable_1="V_cell" variable_2="V_cell"/>
        <map_variables variable_1="V_Cahalf" variable_2="V_Cahalf"/>
        <map_variables variable_1="g_mCa" variable_2="g_mCa"/>
        <map_variables variable_1="V_pmax" variable_2="V_pmax"/>
        <map_variables variable_1="n" variable_2="n"/>
        <map_variables variable_1="K_ph" variable_2="K_ph"/>
        <map_variables variable_1="K_NaCa" variable_2="K_NaCa"/>
        <map_variables variable_1="G_NaCa" variable_2="G_NaCa"/>
        <map_variables variable_1="n_M" variable_2="n_M"/>
        <map_variables variable_1="Ca_halfMLCK" variable_2="Ca_halfMLCK"/>
        <!--        vars K_7 and K_7;
        vars K_2 and K_2;
        vars K_3 and K_3;-->
    </connection>
    <connection>
        <map_components component_1="constants" component_2="EC_uSMC"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="F" variable_2="F"/>
    </connection>
    <!-- We connect the initial conditions through to the model-->
    <connection>
        <map_components component_1="initials" component_2="EC_uSMC"/>
        <!--        vars M_init and M_init;
        vars Mp_init and Mp_init;
        vars AM_init and AM_init;
        vars AMp_init and AMp_init;-->
        <map_variables variable_1="Cai_init" variable_2="Cai_init"/>
    </connection>
</model>