Location: Single PASMC model (Gosak et al 2014) @ 225052a89a07 / Components / Equations.cellml

Author:
WeiweiAi <wai484@aucklanduni.ac.nz>
Date:
2022-05-03 15:39:40+12:00
Desc:
Update README.rst with runSim.psl
Permanent Source URI:
https://models.cellml.org/workspace/83f/rawfile/225052a89a07e1d4baee130b2d102cff2f5393f3/Components/Equations.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="Equations" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <component name="Equations">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>J_VOCCi</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>G_Ca</ci>
                        <apply>
                            <minus/>
                            <ci>v_Ca1</ci>
                            <ci>v_i</ci>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <ci>v_Ca2</ci>
                                    <ci>v_i</ci>
                                </apply>
                                <ci>R_Ca</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NCXi</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>G_NCX</ci>
                            <ci>c_i</ci>
                        </apply>
                        <apply>
                            <plus/>
                            <ci>c_i</ci>
                            <ci>c_NCX</ci>
                        </apply>
                    </apply>
                    <apply>
                        <minus/>
                        <ci>v_NCX</ci>
                        <ci>v_i</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_SERCAi</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>B</ci>
                        <apply>
                            <power/>
                            <ci>c_i</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <power/>
                            <ci>c_i</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                            <power/>
                            <ci>c_b</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_CICRi</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>C</ci>
                                <apply>
                                    <power/>
                                    <ci>s_i</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                            </apply>
                            <apply>
                                <plus/>
                                <apply>
                                    <power/>
                                    <ci>s_i</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                                <apply>
                                    <power/>
                                    <ci>s_c</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <power/>
                            <ci>c_i</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <power/>
                            <ci>c_i</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                        <apply>
                            <power/>
                            <ci>c_c</ci>
                            <cn cellml:units="dimensionless">4</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_PMCAi</ci>
                <apply>
                    <times/>
                    <ci>D</ci>
                    <ci>c_i</ci>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <divide/>
                            <apply>
                                <minus/>
                                <ci>v_i</ci>
                                <ci>v_d</ci>
                            </apply>
                            <ci>R_d</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_leaki</ci>
                <apply>
                    <times/>
                    <ci>L</ci>
                    <ci>s_i</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NKAi</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>C_NKA</ci>
                        <ci>K_out</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>K_mK</ci>
                        <ci>K_out</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_Cli</ci>
                <apply>
                    <times/>
                    <ci>G_Cl</ci>
                    <apply>
                        <minus/>
                        <ci>v_i</ci>
                        <ci>v_Cl</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_Ki</ci>
                <apply>
                    <times/>
                    <ci>G_Ki</ci>
                    <ci>w_i</ci>
                    <apply>
                        <minus/>
                        <ci>v_i</ci>
                        <ci>v_K</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>w_i</ci>
                </apply>
                <apply>
                    <times/>
                    <ci>lambda</ci>
                    <apply>
                        <minus/>
                        <ci>K_activationi</ci>
                        <ci>w_i</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>K_activationi</ci>
                <apply>
                    <divide/>
                    <apply>
                        <power/>
                        <apply>
                            <plus/>
                            <ci>c_i</ci>
                            <ci>c_w</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <power/>
                            <apply>
                                <plus/>
                                <ci>c_i</ci>
                                <ci>c_w</ci>
                            </apply>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                            <times/>
                            <ci>beta</ci>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <minus/>
                                        <apply>
                                            <minus/>
                                            <ci>v_i</ci>
                                            <ci>v_Ca3</ci>
                                        </apply>
                                    </apply>
                                    <ci>R_K</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>c_i</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <minus/>
                                <apply>
                                    <minus/>
                                    <ci>J_VOCCi</ci>
                                    <ci>J_NCXi</ci>
                                </apply>
                                <ci>J_SERCAi</ci>
                            </apply>
                            <ci>J_CICRi</ci>
                        </apply>
                        <ci>J_PMCAi</ci>
                    </apply>
                    <ci>J_leaki</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>s_i</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>J_SERCAi</ci>
                        <ci>J_CICRi</ci>
                    </apply>
                    <ci>J_leaki</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>v_i</ci>
                </apply>
                <apply>
                    <times/>
                    <ci>gamma</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <minus/>
                                <apply>
                                    <minus/>
                                    <ci>J_NKAi</ci>
                                </apply>
                                <ci>J_Cli</ci>
                            </apply>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">2</cn>
                                <ci>J_VOCCi</ci>
                            </apply>
                            <ci>J_NCXi</ci>
                        </apply>
                        <ci>J_Ki</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
</model>