Location: Smooth Muscle Cell Model @ f8db5b8aa3bc / SMC_Yang_2005.cellml

Author:
Fariba <fbir042@aucklanduni.ac.nz>
Date:
2023-10-05 14:13:59+13:00
Desc:
Smooth Muscle Cell
Permanent Source URI:
https://models.physiomeproject.org/workspace/b36/rawfile/f8db5b8aa3bcbfc716249eb230cabd3cfcaf8907/SMC_Yang_2005.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="Yang_2005" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <!-- def import using "SMC_units.cellml" for
        unit per_uM_per_sec using unit per_uM_per_sec;
        unit per_sec using unit per_sec;
        unit uM using unit uM;
        unit per_uM using unit per_uM;
        unit uM_per_sec using unit uM_per_sec;-->
    <!--    enddef;-->
    <!--    def unit per_nM_per_sec as
        unit mole {pref: nano, expo: -1};
        unit second {expo: -1};
    enddef;-->
    <!--    def unit per_uM_per_sec as
        unit mole {pref: micro, expo: -1};
        unit second {expo: -1};
    enddef;-->
    <!--    def unit uM_per_sec as
        unit mole {pref: micro};
        unit second {expo: -1};
    enddef;-->
    <!--    def unit per_sec as
        unit second {expo: -1};
    enddef;-->
    <!--    def unit uM as
        unit mole {pref: micro};
        unit litre {expo:-1};
    enddef;-->
    <!--    def unit per_uM as
        unit uM {expo: -1};
    enddef;-->
    <!--    def unit nM as
        unit mole {pref: nano};
    enddef;-->
    <!--    def comp environment as
            var time: second {pub: out};
      enddef;-->
    <component name="sGC">
        <variable initial_value="1" name="Eb" public_interface="out" units="dimensionless"/>
        <variable initial_value="0" name="E6c" public_interface="out" units="dimensionless"/>
        <variable name="E5c" public_interface="out" units="dimensionless"/>
        <variable initial_value="0.220" name="NO" public_interface="out" units="uM"/>
        <variable initial_value="2000" name="k_one" units="per_uM_per_sec"/>
        <variable initial_value="100" name="km1" units="per_sec"/>
        <variable initial_value="0.1" name="k_two" units="per_sec"/>
        <variable initial_value="3" name="k_three" units="per_uM_per_sec"/>
        <variable name="k_four" units="per_sec"/>
        <variable initial_value="0" name="cGMP" public_interface="out" units="uM"/>
        <variable name="vd" public_interface="out" units="uM_per_sec"/>
        <variable name="vp" public_interface="out" units="uM_per_sec"/>
        <variable initial_value="0.8520" name="Vm_sgc" units="per_sec"/>
        <variable name="Vm_pde" units="uM_per_sec"/>
        <variable initial_value="2.0" name="Km_pde" units="uM"/>
        <variable initial_value="0.0195" name="K_pde" units="per_sec"/>
        <variable initial_value="0.01" name="k_dno" units="per_sec"/>
        <variable initial_value="0.003" name="J_no" units="uM_per_sec"/>
        <variable initial_value="2" name="m" units="dimensionless"/>
        <variable initial_value="0.011" name="K_four" units="per_sec"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable initial_value="0.0086" name="k_mclpb" units="per_sec"/>
        <variable initial_value="0.0327" name="k_mlcpc" units="per_sec"/>
        <variable initial_value="5.5" name="K_mlcpm" units="uM"/>
        <variable initial_value="2" name="n_mlcoh" units="dimensionless"/>
        <variable name="k2y" public_interface="out" units="per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Eb</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <apply>
                            <minus/>
                            <ci>k_one</ci>
                        </apply>
                        <ci>Eb</ci>
                        <ci>NO</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>km1</ci>
                        <ci>E6c</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_four</ci>
                        <ci>E5c</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>E6c</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <times/>
                                <ci>k_one</ci>
                                <ci>Eb</ci>
                                <ci>NO</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>km1</ci>
                                <ci>E6c</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_two</ci>
                            <ci>E6c</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_three</ci>
                        <ci>E6c</ci>
                        <ci>NO</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>E5c</ci>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>Eb</ci>
                    </apply>
                    <ci>E6c</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>cGMP</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>vp</ci>
                    <ci>vd</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>NO</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>J_no</ci>
                    <apply>
                        <times/>
                        <ci>k_dno</ci>
                        <ci>NO</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>vp</ci>
                <apply>
                    <times/>
                    <ci>Vm_sgc</ci>
                    <ci>E5c</ci>
                    <cn cellml:units="uM">1</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>vd</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>cGMP</ci>
                        <ci>Vm_pde</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>Km_pde</ci>
                        <ci>cGMP</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Vm_pde</ci>
                <apply>
                    <times/>
                    <ci>K_pde</ci>
                    <ci>cGMP</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_four</ci>
                <apply>
                    <times/>
                    <ci>K_four</ci>
                    <apply>
                        <power/>
                        <apply>
                            <times/>
                            <ci>cGMP</ci>
                            <cn cellml:units="per_uM">1</cn>
                        </apply>
                        <ci>m</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k2y</ci>
                <apply>
                    <plus/>
                    <ci>k_mclpb</ci>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>k_mlcpc</ci>
                            <apply>
                                <power/>
                                <apply>
                                    <times/>
                                    <ci>cGMP</ci>
                                    <cn cellml:units="per_uM">1</cn>
                                </apply>
                                <ci>n_mlcoh</ci>
                            </apply>
                        </apply>
                        <apply>
                            <plus/>
                            <apply>
                                <power/>
                                <apply>
                                    <times/>
                                    <ci>cGMP</ci>
                                    <cn cellml:units="per_uM">1</cn>
                                </apply>
                                <ci>n_mlcoh</ci>
                            </apply>
                            <apply>
                                <power/>
                                <apply>
                                    <times/>
                                    <ci>K_mlcpm</ci>
                                    <cn cellml:units="per_uM">1</cn>
                                </apply>
                                <ci>n_mlcoh</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
</model>