Location: BG_sGC @ 764c22a66180 / yang_sGC.cellml

Author:
Shelley Fong <sfon036@UoA.auckland.ac.nz>
Date:
2022-05-13 11:56:11+12:00
Desc:
Fixing equations
Permanent Source URI:
https://models.physiomeproject.org/workspace/857/rawfile/764c22a661800aa2d3173388426c3b88d31ebc80/yang_sGC.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="sGC_activation" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#">
    <units name="per_microM_per_s">
        <unit exponent="-1.0" units="micromolar"/>
        <unit units="per_s"/>
    </units>
    <units name="micromolar">
        <unit exponent="-1.0" units="litre"/>
        <unit prefix="micro" units="mole"/>
    </units>
    <units name="per_s">
        <unit exponent="-1.0" units="second"/>
    </units>
    <units name="millivolt">
        <unit prefix="milli" units="volt"/>
    </units>
    <units name="per_nM_per_s">
        <unit exponent="-1.0" units="nanomolar"/>
        <unit units="per_s"/>
    </units>
    <units name="microM_per_s">
        <unit units="micromolar"/>
        <unit units="per_s"/>
    </units>
    <units name="nanomolar">
        <unit prefix="nano" units="mole"/>
        <unit exponent="-1.0" units="litre"/>
    </units>
    <units name="nm_per_s">
        <unit units="per_s"/>
        <unit units="nanomolar"/>
    </units>
    <component name="environment">
        <variable name="time" public_interface="in" units="second"/>
        <variable name="E_b" public_interface="in" units="dimensionless"/>
        <variable name="E_6c" public_interface="in" units="dimensionless"/>
        <variable name="E_5c" public_interface="in" units="dimensionless"/>
        <variable initial_value="0.011" name="K_4" public_interface="out" units="per_s"/>
        <variable name="m" public_interface="in" units="dimensionless"/>
        <variable initial_value="0" name="sGC_activation" public_interface="out" units="micromolar"/>
    </component>
    <component name="sGC_activation">
        <variable initial_value="1" name="E_b" public_interface="out" units="dimensionless"/>
        <variable initial_value="0" name="E_6c" public_interface="out" units="dimensionless"/>
        <variable initial_value="0" name="E_5c" public_interface="out" units="dimensionless"/>
        <variable initial_value="2" name="k_1" units="per_nM_per_s"/>
        <variable initial_value="100" name="k_m1" units="per_s"/>
        <variable initial_value="0.1" name="k_2" units="per_s"/>
        <variable initial_value="0.003" name="k_3" units="per_nM_per_s"/>
        <variable name="k_4" units="per_s"/>
        <variable initial_value="220" name="NO" units="nanomolar"/>
        <variable initial_value="3" name="J_no" units="nm_per_s"/>
        <variable initial_value="0.01" name="k_dno" units="per_s"/>
        <variable initial_value="0.011" name="K_4" public_interface="out" units="per_s"/>
        <variable initial_value="2" name="m" public_interface="out" units="dimensionless"/>
        <variable name="cGMP" public_interface="in" units="micromolar"/>
        <variable name="E0" units="dimensionless"/>
        <variable name="time" public_interface="in" units="second"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>E_b</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <apply>
                            <minus/>
                            <ci>k_1</ci>
                        </apply>
                        <ci>E_b</ci>
                        <ci>NO</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_m1</ci>
                        <ci>E_6c</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_4</ci>
                        <ci>E_5c</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>E_6c</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <apply>
                                <times/>
                                <ci>k_1</ci>
                                <ci>E_b</ci>
                                <ci>NO</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>k_m1</ci>
                                <ci>E_6c</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_2</ci>
                            <ci>E_6c</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_3</ci>
                        <ci>E_6c</ci>
                        <ci>NO</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>E_5c</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>k_3</ci>
                            <ci>E_6c</ci>
                            <ci>NO</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k_2</ci>
                            <ci>E_6c</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_4</ci>
                        <ci>E_5c</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_4</ci>
                <apply>
                    <times/>
                    <ci>K_4</ci>
                    <apply>
                        <power/>
                        <apply>
                            <divide/>
                            <ci>cGMP</ci>
                            <cn cellml:units="micromolar">1</cn>
                        </apply>
                        <ci>m</ci>
                    </apply>
                </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>E0</ci>
                <apply>
                    <plus/>
                    <ci>E_b</ci>
                    <ci>E_6c</ci>
                    <ci>E_5c</ci>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="environment" component_2="sGC_activation"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="E_b" variable_2="E_b"/>
        <map_variables variable_1="E_5c" variable_2="E_5c"/>
        <map_variables variable_1="E_6c" variable_2="E_6c"/>
        <map_variables variable_1="K_4" variable_2="K_4"/>
        <map_variables variable_1="m" variable_2="m"/>
        <map_variables variable_1="sGC_activation" variable_2="sGC_activation"/>
    </connection>
</model>