Location: A Quantitative Model of Gastric Smooth Muscle Cellular Activation @ 3affededfd25 / T_type_Ca / ICa_T.cellml

Author:
Leyla <lnor300>
Date:
2022-09-28 16:08:33+13:00
Desc:
..
Permanent Source URI:
https://models.fieldml.org/workspace/919/rawfile/3affededfd25a44594b79661e39fb68801515613/T_type_Ca/ICa_T.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="ICa_T" 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="../Common/units.cellml">
        <units name="current_units" units_ref="current_units"/>
        <units name="voltage_units" units_ref="voltage_units"/>
        <units name="time_units" units_ref="time_units"/>
        <units name="conductance_units" units_ref="conductance_units"/>
        <units name="millimolar" units_ref="millimolar"/>
        <units name="Inverse_Voltage_units" units_ref="Inverse_Voltage_units"/>
    </import>
    <component name="d_LVA_SM">
        <variable name="Vm_SM" public_interface="in" units="voltage_units"/>
        <variable name="time" public_interface="in" units="time_units"/>
        <variable name="d_inf_LVA_SM" units="dimensionless"/>
        <variable name="tau_d_LVA_SM" units="time_units"/>
        <variable initial_value="0.02" name="d_LVA_SM" public_interface="out" units="dimensionless"/>
        <variable name="T_correction_Ca" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>d_inf_LVA_SM</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1.0</cn>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1.0</cn>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>Vm_SM</ci>
                                    <cn cellml:units="voltage_units">27.5</cn>
                                </apply>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="voltage_units">10.9</cn>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_d_LVA_SM</ci>
                <apply>
                    <times/>
                    <ci>T_correction_Ca</ci>
                    <cn cellml:units="time_units">3.0</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>d_LVA_SM</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>d_inf_LVA_SM</ci>
                        <ci>d_LVA_SM</ci>
                    </apply>
                    <ci>tau_d_LVA_SM</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="f_LVA_SM">
        <variable name="Vm_SM" public_interface="in" units="voltage_units"/>
        <variable name="time" public_interface="in" units="time_units"/>
        <variable name="f_inf_LVA_SM" units="dimensionless"/>
        <variable name="tau_f_LVA_SM" units="time_units"/>
        <variable initial_value="0.99" name="f_LVA_SM" public_interface="out" units="dimensionless"/>
        <variable name="T_correction_Ca" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>f_inf_LVA_SM</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1.0</cn>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1.0</cn>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>Vm_SM</ci>
                                    <cn cellml:units="voltage_units">15.8</cn>
                                </apply>
                                <cn cellml:units="voltage_units">7</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_f_LVA_SM</ci>
                <apply>
                    <times/>
                    <ci>T_correction_Ca</ci>
                    <cn cellml:units="time_units">7.58</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <times/>
                            <ci>Vm_SM</ci>
                            <cn cellml:units="Inverse_Voltage_units">0.00817</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>f_LVA_SM</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>f_inf_LVA_SM</ci>
                        <ci>f_LVA_SM</ci>
                    </apply>
                    <ci>tau_f_LVA_SM</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="I_LVA_SM">
        <variable name="I_LVA_SM" private_interface="out" public_interface="out" units="current_units"/>
        <variable name="Vm_SM" private_interface="out" public_interface="in" units="voltage_units"/>
        <variable name="time" private_interface="out" public_interface="in" units="time_units"/>
        <variable name="E_Ca" units="voltage_units"/>
        <variable initial_value="0.18" name="G_max_LVA" units="conductance_units"/>
        <variable name="f_LVA_SM" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="d_LVA_SM" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="RToF" public_interface="in" units="voltage_units"/>
        <variable name="Ca_o" public_interface="in" units="millimolar"/>
        <variable name="Ca_i" public_interface="in" units="millimolar"/>
        <variable name="T_correction_Ca" private_interface="out" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>E_Ca</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">0.5</cn>
                    <ci>RToF</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <divide/>
                            <ci>Ca_o</ci>
                            <ci>Ca_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_LVA_SM</ci>
                <apply>
                    <times/>
                    <ci>G_max_LVA</ci>
                    <ci>f_LVA_SM</ci>
                    <ci>d_LVA_SM</ci>
                    <apply>
                        <minus/>
                        <ci>Vm_SM</ci>
                        <ci>E_Ca</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="d_LVA_SM" component_2="I_LVA_SM"/>
        <map_variables variable_1="Vm_SM" variable_2="Vm_SM"/>
        <map_variables variable_1="d_LVA_SM" variable_2="d_LVA_SM"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="T_correction_Ca" variable_2="T_correction_Ca"/>
    </connection>
    <connection>
        <map_components component_1="f_LVA_SM" component_2="I_LVA_SM"/>
        <map_variables variable_1="Vm_SM" variable_2="Vm_SM"/>
        <map_variables variable_1="f_LVA_SM" variable_2="f_LVA_SM"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="T_correction_Ca" variable_2="T_correction_Ca"/>
    </connection>
    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="I_LVA_SM">
            <component_ref component="d_LVA_SM"/>
            <component_ref component="f_LVA_SM"/>
        </component_ref>
    </group>
</model>