Location: A Quantitative Model of Gastric Smooth Muscle Cellular Activation @ a09d10b0432d / Vm_SMC / Vm_SMC.cellml

Author:
Leyla <lnor300>
Date:
2022-09-28 14:24:20+13:00
Desc:
Adding the modular version of Corrias_Buist_2007 model on PMR.
Permanent Source URI:
https://models.physiomeproject.org/workspace/919/rawfile/a09d10b0432dd07dcdf441dcc6476bf932d840dc/Vm_SMC/Vm_SMC.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="Vm_SMC" 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="millimolar" units_ref="millimolar"/>
        <units name="F_units" units_ref="F_units"/>
        <units name="millimolar_per_millisecond" units_ref="millimolar_per_millisecond"/>
        <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="capacitance_units" units_ref="capacitance_units"/>
        <units name="volume_units" units_ref="volume_units"/>
        <units name="mole_to_millimole" units_ref="mole_to_millimole"/>
    </import>
    <component name="SM_Membrane">
        <variable initial_value="77" name="Cm_SM" units="capacitance_units"/>
        <variable name="Vol_SM" private_interface="out" public_interface="in" units="volume_units"/>
        <variable name="F" private_interface="out" public_interface="in" units="F_units"/>
        <variable initial_value="-69.75" name="Vm_SM" private_interface="out" public_interface="out" units="voltage_units"/>
        <variable name="time" private_interface="out" public_interface="in" units="time_units"/>
        <variable initial_value="0.00008" name="Ca_i" private_interface="out" public_interface="out" units="millimolar"/>
        <variable name="I_Na_SM" private_interface="in" public_interface="out" units="current_units"/>
        <variable name="I_Ltype_SM" private_interface="in" public_interface="out" units="current_units"/>
        <variable name="d_Ltype_SM" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="f_Ltype_SM" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="I_LVA_SM" private_interface="in" public_interface="out" units="current_units"/>
        <variable name="I_kr_SM" private_interface="in" public_interface="out" units="current_units"/>
        <variable name="xr1_SM" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="xr2_SM" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="I_ka_SM" private_interface="in" public_interface="out" units="current_units"/>
        <variable name="xa1_SM" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="xa2_SM" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="I_BK_SM" private_interface="in" public_interface="out" units="current_units"/>
        <variable name="I_NSCC_SM" private_interface="in" public_interface="out" units="current_units"/>
        <variable name="m_NSCC_SM" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="I_bk_SM" private_interface="in" public_interface="out" units="current_units"/>
        <variable name="J_CaSR_SM" private_interface="in" public_interface="out" units="millimolar_per_millisecond"/>
        <variable name="I_stim" private_interface="in" public_interface="out" units="current_units"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Vm_SM</ci>
                </apply>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1.0</cn>
                            </apply>
                            <cn cellml:units="dimensionless">1.0</cn>
                        </apply>
                        <ci>Cm_SM</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>I_Na_SM</ci>
                        <ci>I_Ltype_SM</ci>
                        <ci>I_LVA_SM</ci>
                        <ci>I_kr_SM</ci>
                        <ci>I_ka_SM</ci>
                        <ci>I_BK_SM</ci>
                        <ci>I_NSCC_SM</ci>
                        <ci>I_bk_SM</ci>
                        <apply>
                            <times/>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1.0</cn>
                            </apply>
                            <ci>I_stim</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Ca_i</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>I_Ltype_SM</ci>
                            </apply>
                            <apply>
                                <times/>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>I_LVA_SM</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">2.0</cn>
                            <cn cellml:units="mole_to_millimole">0.001</cn>
                            <ci>F</ci>
                            <ci>Vol_SM</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>J_CaSR_SM</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
</model>