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

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

<?xml version='1.0' encoding='UTF-8'?>
<model name="Ikr" 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"/>
    </import>
    <component name="xr1_SM">
        <variable name="Vm_SM" public_interface="in" units="voltage_units"/>
        <variable name="time" public_interface="in" units="time_units"/>
        <variable name="xr1_inf_SM" units="dimensionless"/>
        <variable name="tau_xr1_SM" units="time_units"/>
        <variable initial_value="0.0" name="xr1_SM" public_interface="out" units="dimensionless"/>
        <variable name="T_correction_K" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>xr1_inf_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</cn>
                                </apply>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="voltage_units">5.0</cn>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_xr1_SM</ci>
                <apply>
                    <times/>
                    <ci>T_correction_K</ci>
                    <cn cellml:units="time_units">80</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>xr1_SM</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>xr1_inf_SM</ci>
                        <ci>xr1_SM</ci>
                    </apply>
                    <ci>tau_xr1_SM</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="xr2_SM">
        <variable name="Vm_SM" public_interface="in" units="voltage_units"/>
        <variable name="time" public_interface="in" units="time_units"/>
        <variable name="xr2_inf_SM" units="dimensionless"/>
        <variable name="tau_xr2_SM" units="time_units"/>
        <variable initial_value="0.82" name="xr2_SM" public_interface="out" units="dimensionless"/>
        <variable name="T_correction_K" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>xr2_inf_SM</ci>
                <apply>
                    <plus/>
                    <cn cellml:units="dimensionless">0.2</cn>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">0.8</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">58</cn>
                                    </apply>
                                    <cn cellml:units="voltage_units">10</cn>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_xr2_SM</ci>
                <apply>
                    <times/>
                    <ci>T_correction_K</ci>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <cn cellml:units="time_units">707</cn>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="time_units">1481</cn>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <plus/>
                                        <ci>Vm_SM</ci>
                                        <cn cellml:units="voltage_units">36</cn>
                                    </apply>
                                    <cn cellml:units="voltage_units">95</cn>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>xr2_SM</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>xr2_inf_SM</ci>
                        <ci>xr2_SM</ci>
                    </apply>
                    <ci>tau_xr2_SM</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="I_kr_SM">
        <variable name="I_kr_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_K" public_interface="out" units="voltage_units"/>
        <variable initial_value="35" name="G_max_kr_SM" units="conductance_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="RToF" public_interface="in" units="voltage_units"/>
        <variable name="K_o" public_interface="in" units="millimolar"/>
        <variable name="K_i" public_interface="in" units="millimolar"/>
        <variable name="T_correction_K" private_interface="out" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>E_K</ci>
                <apply>
                    <times/>
                    <ci>RToF</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <divide/>
                            <ci>K_o</ci>
                            <ci>K_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_kr_SM</ci>
                <apply>
                    <times/>
                    <ci>G_max_kr_SM</ci>
                    <ci>xr1_SM</ci>
                    <ci>xr2_SM</ci>
                    <apply>
                        <minus/>
                        <ci>Vm_SM</ci>
                        <ci>E_K</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="xr1_SM" component_2="I_kr_SM"/>
        <map_variables variable_1="Vm_SM" variable_2="Vm_SM"/>
        <map_variables variable_1="xr1_SM" variable_2="xr1_SM"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="T_correction_K" variable_2="T_correction_K"/>
    </connection>
    <connection>
        <map_components component_1="xr2_SM" component_2="I_kr_SM"/>
        <map_variables variable_1="Vm_SM" variable_2="Vm_SM"/>
        <map_variables variable_1="xr2_SM" variable_2="xr2_SM"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="T_correction_K" variable_2="T_correction_K"/>
    </connection>
    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="I_kr_SM">
            <component_ref component="xr1_SM"/>
            <component_ref component="xr2_SM"/>
        </component_ref>
    </group>
</model>