Location: ECC_MSK (Rios et al. 1993) @ 20e3e451c787 / Components / O_S3.cellml

Author:
WeiweiAi <wai484@aucklanduni.ac.nz>
Date:
2022-07-01 10:53:47+12:00
Desc:
First version of the model and original data
Permanent Source URI:
https://models.physiomeproject.org/workspace/8af/rawfile/20e3e451c78771d3f0cb8f5244f0ca68d84b4139/Components/O_S3.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="O_S3" 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="../cellLib/Components/units.cellml">
        <units name="ms" units_ref="ms"/>
        <units name="per_ms" units_ref="per_ms"/>
    </import>
    <import xlink:href="../cellLib/Components/MarkovS.cellml">
        <component component_ref="S3" name="S3"/>
    </import>
    <component name="O_S3">
        <variable name="k_L" public_interface="in" units="per_ms"/>
        <variable name="k_Lminus" public_interface="in" units="per_ms"/>
        <variable name="k_C" public_interface="in" units="per_ms"/>
        <variable name="k_Cminus" public_interface="in" units="per_ms"/>
        <variable name="f" public_interface="in" units="dimensionless"/>
        <variable name="k_i1" private_interface="out" public_interface="out" units="per_ms"/>
        <variable name="k_i2" private_interface="out" public_interface="out" units="per_ms"/>
        <variable name="k_i3" private_interface="out" public_interface="out" units="per_ms"/>
        <variable name="k_1i" private_interface="out" public_interface="out" units="per_ms"/>
        <variable name="k_2i" private_interface="out" public_interface="out" units="per_ms"/>
        <variable name="k_3i" private_interface="out" public_interface="out" units="per_ms"/>
        <variable name="norm" private_interface="out" public_interface="in" units="dimensionless"/>
        <variable name="S_1" private_interface="out" public_interface="in" units="dimensionless"/>
        <variable name="S_2" private_interface="out" public_interface="in" units="dimensionless"/>
        <variable name="S_3" private_interface="out" public_interface="in" units="dimensionless"/>
        <variable name="S_i" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="dS_i" private_interface="in" public_interface="out" units="per_ms"/>
        <variable name="Si_init" private_interface="out" public_interface="in" units="dimensionless"/>
        <variable name="N" public_interface="in" units="dimensionless"/>
        <variable name="i" public_interface="in" units="dimensionless"/>
        <variable name="t" private_interface="out" public_interface="in" units="ms"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>k_i1</ci>
                <apply>
                    <times/>
                    <ci>k_Cminus</ci>
                    <ci>i</ci>
                    <ci>f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i2</ci>
                <apply>
                    <times/>
                    <ci>k_Lminus</ci>
                    <apply>
                        <power/>
                        <ci>f</ci>
                        <ci>i</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i3</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <minus/>
                            <ci>N</ci>
                            <ci>i</ci>
                        </apply>
                        <ci>k_C</ci>
                    </apply>
                    <ci>f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_1i</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <apply>
                                <minus/>
                                <ci>N</ci>
                                <ci>i</ci>
                            </apply>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>k_C</ci>
                    </apply>
                    <ci>f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_2i</ci>
                <apply>
                    <divide/>
                    <ci>k_L</ci>
                    <apply>
                        <power/>
                        <ci>f</ci>
                        <ci>i</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_3i</ci>
                <apply>
                    <times/>
                    <apply>
                        <plus/>
                        <ci>i</ci>
                        <cn cellml:units="dimensionless">1</cn>
                    </apply>
                    <ci>k_Cminus</ci>
                    <ci>f</ci>
                </apply>
            </apply>
        </math>
    </component>
    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="O_S3">
            <component_ref component="S3"/>
        </component_ref>
    </group>
    <connection>
        <map_components component_1="S3" component_2="O_S3"/>
        <map_variables variable_1="S_i" variable_2="S_i"/>
        <map_variables variable_1="dS_i" variable_2="dS_i"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="Si_init" variable_2="Si_init"/>
        <map_variables variable_1="k_i1" variable_2="k_i1"/>
        <map_variables variable_1="k_i2" variable_2="k_i2"/>
        <map_variables variable_1="k_i3" variable_2="k_i3"/>
        <map_variables variable_1="k_1i" variable_2="k_1i"/>
        <map_variables variable_1="k_2i" variable_2="k_2i"/>
        <map_variables variable_1="k_3i" variable_2="k_3i"/>
        <map_variables variable_1="norm" variable_2="norm"/>
        <map_variables variable_1="S_1" variable_2="S_1"/>
        <map_variables variable_1="S_2" variable_2="S_2"/>
        <map_variables variable_1="S_3" variable_2="S_3"/>
    </connection>
</model>