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

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

<?xml version='1.0' encoding='UTF-8'?>
<model name="INKCC" 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="m_Na_SM">
        <variable name="Vm_SM" public_interface="in" units="voltage_units"/>
        <variable name="m_inf_Na" units="dimensionless"/>
        <variable name="tau_m_Na" units="time_units"/>
        <variable initial_value="0.005" name="m_Na_SM" public_interface="out" units="dimensionless"/>
        <variable name="time" public_interface="in" units="time_units"/>
        <variable name="T_correction_Na" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>m_inf_Na</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">47</cn>
                                </apply>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="voltage_units">4.8</cn>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_m_Na</ci>
                <apply>
                    <times/>
                    <ci>T_correction_Na</ci>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>Vm_SM</ci>
                            <apply>
                                <minus/>
                                <cn cellml:units="Inverse_Voltage_units">0.017</cn>
                            </apply>
                            <cn cellml:units="time_units">1</cn>
                        </apply>
                        <cn cellml:units="time_units">0.440</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>m_Na_SM</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>m_inf_Na</ci>
                        <ci>m_Na_SM</ci>
                    </apply>
                    <ci>tau_m_Na</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="h_Na_SM">
        <variable name="Vm_SM" public_interface="in" units="voltage_units"/>
        <variable name="h_inf_Na" units="dimensionless"/>
        <variable name="tau_h_Na" units="time_units"/>
        <variable initial_value="0.05787" name="h_Na_SM" public_interface="out" units="dimensionless"/>
        <variable name="time" public_interface="in" units="time_units"/>
        <variable name="T_correction_Na" private_interface="none" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>h_inf_Na</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">78</cn>
                                </apply>
                                <cn cellml:units="voltage_units">3</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_h_Na</ci>
                <apply>
                    <times/>
                    <ci>T_correction_Na</ci>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>Vm_SM</ci>
                            <apply>
                                <minus/>
                                <cn cellml:units="Inverse_Voltage_units">0.25</cn>
                            </apply>
                            <cn cellml:units="time_units">1</cn>
                        </apply>
                        <cn cellml:units="time_units">5.50</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>h_Na_SM</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>h_inf_Na</ci>
                        <ci>h_Na_SM</ci>
                    </apply>
                    <ci>tau_h_Na</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="I_Na_SM">
        <variable name="I_Na_SM" private_interface="out" public_interface="out" units="current_units"/>
        <variable name="E_Na" units="voltage_units"/>
        <variable initial_value="3" name="G_max_Na_SM" units="conductance_units"/>
        <variable name="Vm_SM" private_interface="out" public_interface="in" units="voltage_units"/>
        <variable name="h_Na_SM" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="m_Na_SM" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="RToF" public_interface="in" units="voltage_units"/>
        <variable name="Na_o" private_interface="out" public_interface="in" units="millimolar"/>
        <variable name="Na_i" private_interface="out" public_interface="in" units="millimolar"/>
        <variable name="T_correction_Na" private_interface="out" public_interface="in" units="dimensionless"/>
        <variable name="time" private_interface="out" public_interface="in" units="time_units"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>E_Na</ci>
                <apply>
                    <times/>
                    <ci>RToF</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <divide/>
                            <ci>Na_o</ci>
                            <ci>Na_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_Na_SM</ci>
                <apply>
                    <times/>
                    <ci>G_max_Na_SM</ci>
                    <ci>h_Na_SM</ci>
                    <ci>m_Na_SM</ci>
                    <apply>
                        <minus/>
                        <ci>Vm_SM</ci>
                        <ci>E_Na</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="h_Na_SM" component_2="I_Na_SM"/>
        <map_variables variable_1="Vm_SM" variable_2="Vm_SM"/>
        <map_variables variable_1="h_Na_SM" variable_2="h_Na_SM"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="T_correction_Na" variable_2="T_correction_Na"/>
    </connection>
    <connection>
        <map_components component_1="m_Na_SM" component_2="I_Na_SM"/>
        <map_variables variable_1="Vm_SM" variable_2="Vm_SM"/>
        <map_variables variable_1="m_Na_SM" variable_2="m_Na_SM"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="T_correction_Na" variable_2="T_correction_Na"/>
    </connection>
    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="I_Na_SM">
            <component_ref component="h_Na_SM"/>
            <component_ref component="m_Na_SM"/>
        </component_ref>
    </group>
</model>