Location: A Quantitative Model of Gastric Smooth Muscle Cellular Activation @ 81f67ad5cb7e / NSCC / INSCC.cellml

Author:
Leyla <lnor300>
Date:
2022-09-28 15:19:55+13:00
Desc:
..
Permanent Source URI:
https://models.cellml.org/workspace/919/rawfile/81f67ad5cb7e1a58490cbd0dfdd9ff16722bb4bb/NSCC/INSCC.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model cmeta:id="Non_Selective_Cation_Channel" name="INSCC" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" 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"/>
    </import>
    <component name="m_NSCC_SM">
        <variable name="Vm_SM" public_interface="in" units="voltage_units"/>
        <variable name="m_inf_NSCC_SM" units="dimensionless"/>
        <variable name="tau_m_NSCC_SM" units="time_units"/>
        <variable initial_value="0.0" name="m_NSCC_SM" public_interface="out" units="dimensionless"/>
        <variable name="time" public_interface="in" units="time_units"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>m_inf_NSCC_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">25.0</cn>
                                </apply>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="voltage_units">20</cn>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_m_NSCC_SM</ci>
                <apply>
                    <times/>
                    <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">66</cn>
                                    </apply>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="voltage_units">26</cn>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                    <cn cellml:units="time_units">150</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>m_NSCC_SM</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>m_inf_NSCC_SM</ci>
                        <ci>m_NSCC_SM</ci>
                    </apply>
                    <ci>tau_m_NSCC_SM</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="I_NSCC_SM">
        <variable name="I_NSCC_SM" private_interface="out" public_interface="out" units="current_units"/>
        <variable initial_value="-28" name="E_NSCC" units="voltage_units"/>
        <variable initial_value="50" name="G_max_NSCC_SM" units="conductance_units"/>
        <variable name="Vm_SM" private_interface="out" public_interface="in" units="voltage_units"/>
        <variable name="Ca_i" public_interface="in" units="millimolar"/>
        <variable name="Ach" public_interface="in" units="millimolar"/>
        <variable name="m_NSCC_SM" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="f_ca_NSCC_SM" public_interface="out" units="dimensionless"/>
        <variable name="rach_NSCC_SM" public_interface="out" units="dimensionless"/>
        <variable name="RToF" public_interface="in" units="voltage_units"/>
        <variable name="time" private_interface="out" public_interface="in" units="time_units"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>f_ca_NSCC_SM</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1.0</cn>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1.0</cn>
                        <apply>
                            <power/>
                            <apply>
                                <divide/>
                                <ci>Ca_i</ci>
                                <cn cellml:units="millimolar">0.0002</cn>
                            </apply>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">4.0</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>rach_NSCC_SM</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1.0</cn>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1.0</cn>
                        <apply>
                            <divide/>
                            <cn cellml:units="millimolar">0.01</cn>
                            <ci>Ach</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_NSCC_SM</ci>
                <apply>
                    <times/>
                    <ci>G_max_NSCC_SM</ci>
                    <ci>m_NSCC_SM</ci>
                    <ci>f_ca_NSCC_SM</ci>
                    <ci>rach_NSCC_SM</ci>
                    <apply>
                        <minus/>
                        <ci>Vm_SM</ci>
                        <ci>E_NSCC</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="m_NSCC_SM" component_2="I_NSCC_SM"/>
        <map_variables variable_1="Vm_SM" variable_2="Vm_SM"/>
        <map_variables variable_1="m_NSCC_SM" variable_2="m_NSCC_SM"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="I_NSCC_SM">
            <component_ref component="m_NSCC_SM"/>
        </component_ref>
    </group>
</model>