Location: cellLib @ 4f2e241af0f1 / Components / CB4Yang.cellml

Author:

WeiweiAi <wai484@aucklanduni.ac.nz>

Date:

2022-04-21 11:56:18+12:00

Desc:

Further automate the mapping process

Permanent Source URI:

https://models.fieldml.org/workspace/6bc/rawfile/4f2e241af0f1dbffded70d0aa6b23e73e5f06b01/Components/CB4Yang.cellml

<?xml version='1.0' encoding='UTF-8'?>
<!-- Four-state kinetic model of Yang et al (2003)
 Yang, Jin, et al. "The myogenic response in isolated rat cerebrovascular arteries: smooth muscle cell model."
 Medical engineering & physics 25.8 (2003): 691-709.-->
<model name="CB4Yang" 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="units.cellml">
        <units name="per_ms" units_ref="per_ms"/>
        <units name="ms" units_ref="ms"/>
        <units name="mM" units_ref="mM"/>
        <units name="per_mM_ms" units_ref="per_mM_ms"/>
        <units name="per_mMsq_ms" units_ref="per_mMsq_ms"/>
    </import>
    <component name="CB4Yang">
        <variable name="time" public_interface="in" units="ms"/>
        <variable name="R00_init" public_interface="in" units="dimensionless"/>
        <variable name="R10_init" public_interface="in" units="dimensionless"/>
        <variable name="R01_init" public_interface="in" units="dimensionless"/>
        <variable name="R11_init" public_interface="in" units="dimensionless"/>
        <variable name="K_r1" public_interface="in" units="per_mMsq_ms"/>
        <variable name="K_r1minus" public_interface="in" units="per_ms"/>
        <variable name="K_r2" public_interface="in" units="per_mM_ms"/>
        <variable name="K_r2minus" public_interface="in" units="per_ms"/>
        <variable name="Cai" public_interface="in" units="mM"/>
        <variable name="norm" units="dimensionless"/>
        <variable initial_value="R00_init" name="R_00" public_interface="out" units="dimensionless"/>
        <variable initial_value="R10_init" name="R_10" public_interface="out" units="dimensionless"/>
        <variable initial_value="R01_init" name="R_01" public_interface="out" units="dimensionless"/>
        <variable initial_value="R11_init" name="R_11" public_interface="out" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>norm</ci>
                <apply>
                    <plus/>
                    <ci>R_00</ci>
                    <ci>R_10</ci>
                    <ci>R_01</ci>
                    <ci>R_11</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>R_00</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <minus/>
                            <apply>
                                <plus/>
                                <apply>
                                    <times/>
                                    <ci>K_r1</ci>
                                    <apply>
                                        <power/>
                                        <ci>Cai</ci>
                                        <cn cellml:units="dimensionless">2</cn>
                                    </apply>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>K_r2</ci>
                                    <ci>Cai</ci>
                                </apply>
                            </apply>
                        </apply>
                        <ci>R_00</ci>
                    </apply>
                    <ci>norm</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>R_10</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>K_r1</ci>
                                <apply>
                                    <power/>
                                    <ci>Cai</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                                <ci>R_00</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <plus/>
                                    <ci>K_r1minus</ci>
                                    <apply>
                                        <times/>
                                        <ci>K_r2</ci>
                                        <ci>Cai</ci>
                                    </apply>
                                </apply>
                                <ci>R_10</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>K_r2minus</ci>
                            <ci>R_11</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>R_01</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>K_r2</ci>
                                <ci>Cai</ci>
                                <ci>R_00</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>K_r1minus</ci>
                                <ci>R_11</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <apply>
                                <plus/>
                                <ci>K_r2minus</ci>
                                <apply>
                                    <times/>
                                    <ci>K_r1</ci>
                                    <apply>
                                        <power/>
                                        <ci>Cai</ci>
                                        <cn cellml:units="dimensionless">2</cn>
                                    </apply>
                                </apply>
                            </apply>
                            <ci>R_01</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>R_11</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>K_r2</ci>
                                <ci>Cai</ci>
                                <ci>R_10</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <plus/>
                                    <ci>K_r1minus</ci>
                                    <ci>K_r2minus</ci>
                                </apply>
                                <ci>R_11</ci>
                            </apply>
                            <ci>norm</ci>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>K_r1</ci>
                            <apply>
                                <power/>
                                <ci>Cai</ci>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                            <ci>R_01</ci>
                        </apply>
                        <ci>norm</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
</model>