Location: ECC_MSK (Rios et al. 1993) @ 3aa668df6028 / Components / buildsrc / Equations.cellml

Author:
WeiweiAi <wai484@aucklanduni.ac.nz>
Date:
2022-06-28 16:17:13+12:00
Desc:
New
Permanent Source URI:
https://staging.physiomeproject.org/workspace/8af/rawfile/3aa668df6028717eb08ffc4b9fac13dc7357ebf0/Components/buildsrc/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">
        <!--C0-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>k_i1</ci>
                <ci>k_L</ci>
            </apply>
            <apply>
                <eq/>
                <ci>k_i2</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">4</cn>
                    <ci>k_C</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_1i</ci>
                <ci>k_Lminus</ci>
            </apply>
            <apply>
                <eq/>
                <ci>k_2i</ci>
                <ci>k_Cminus</ci>
            </apply>
            <!--C1-->
            <apply>
                <eq/>
                <ci>k_i1</ci>
                <ci>k_Cminus</ci>
            </apply>
            <apply>
                <eq/>
                <ci>k_i2</ci>
                <apply>
                    <divide/>
                    <ci>k_L</ci>
                    <ci>f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i3</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">3</cn>
                    <ci>k_C</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_1i</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">4</cn>
                    <ci>k_C</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_2i</ci>
                <apply>
                    <times/>
                    <ci>k_Lminus</ci>
                    <ci>f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_3i</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">2</cn>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <!--C2-->
            <apply>
                <eq/>
                <ci>k_i1</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">2</cn>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i2</ci>
                <apply>
                    <divide/>
                    <ci>k_L</ci>
                    <apply>
                        <power/>
                        <ci>f</ci>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i3</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">2</cn>
                    <ci>k_C</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_1i</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">3</cn>
                    <ci>k_C</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_2i</ci>
                <apply>
                    <times/>
                    <ci>k_Lminus</ci>
                    <apply>
                        <power/>
                        <ci>f</ci>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_3i</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">3</cn>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <!--C3-->
            <apply>
                <eq/>
                <ci>k_i1</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">3</cn>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i2</ci>
                <apply>
                    <divide/>
                    <ci>k_L</ci>
                    <apply>
                        <power/>
                        <ci>f</ci>
                        <cn cellml:units="dimensionless">3</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i3</ci>
                <ci>k_C</ci>
            </apply>
            <apply>
                <eq/>
                <ci>k_1i</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">2</cn>
                    <ci>k_C</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_2i</ci>
                <apply>
                    <times/>
                    <ci>k_Lminus</ci>
                    <apply>
                        <power/>
                        <ci>f</ci>
                        <cn cellml:units="dimensionless">3</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_3i</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">4</cn>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <!--C4-->
            <apply>
                <eq/>
                <ci>k_i1</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">4</cn>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i2</ci>
                <apply>
                    <divide/>
                    <ci>k_L</ci>
                    <apply>
                        <power/>
                        <ci>f</ci>
                        <cn cellml:units="dimensionless">4</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_1i</ci>
                <ci>k_C</ci>
            </apply>
            <apply>
                <eq/>
                <ci>k_2i</ci>
                <apply>
                    <times/>
                    <ci>k_Lminus</ci>
                    <apply>
                        <power/>
                        <ci>f</ci>
                        <cn cellml:units="dimensionless">4</cn>
                    </apply>
                </apply>
            </apply>
            <!--O0-->
            <apply>
                <eq/>
                <ci>k_i1</ci>
                <ci>k_Lminus</ci>
            </apply>
            <apply>
                <eq/>
                <ci>k_i2</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">4</cn>
                        <ci>k_C</ci>
                    </apply>
                    <ci>f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_1i</ci>
                <ci>k_L</ci>
            </apply>
            <apply>
                <eq/>
                <ci>k_2i</ci>
                <apply>
                    <times/>
                    <ci>f</ci>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <!--O1-->
            <apply>
                <eq/>
                <ci>k_i1</ci>
                <apply>
                    <times/>
                    <ci>f</ci>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i2</ci>
                <apply>
                    <times/>
                    <ci>k_Lminus</ci>
                    <ci>f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i3</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <ci>k_C</ci>
                    </apply>
                    <ci>f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_1i</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">4</cn>
                        <ci>k_C</ci>
                    </apply>
                    <ci>f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_2i</ci>
                <apply>
                    <divide/>
                    <ci>k_L</ci>
                    <ci>f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_3i</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">2</cn>
                    <ci>f</ci>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <!--O2-->
            <apply>
                <eq/>
                <ci>k_i1</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">2</cn>
                    <ci>f</ci>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i2</ci>
                <apply>
                    <times/>
                    <ci>k_Lminus</ci>
                    <apply>
                        <power/>
                        <ci>f</ci>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i3</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>k_C</ci>
                    </apply>
                    <ci>f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_1i</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">3</cn>
                        <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>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_3i</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">3</cn>
                    <ci>f</ci>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <!--O3-->
            <apply>
                <eq/>
                <ci>k_i1</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">3</cn>
                    <ci>f</ci>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i2</ci>
                <apply>
                    <times/>
                    <ci>k_Lminus</ci>
                    <apply>
                        <power/>
                        <ci>f</ci>
                        <cn cellml:units="dimensionless">3</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i3</ci>
                <apply>
                    <divide/>
                    <ci>k_C</ci>
                    <ci>f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_1i</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <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>
                        <cn cellml:units="dimensionless">3</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_3i</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">4</cn>
                    <ci>f</ci>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <!--O4-->
            <apply>
                <eq/>
                <ci>k_i1</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">4</cn>
                    <ci>f</ci>
                    <ci>k_Cminus</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_i2</ci>
                <apply>
                    <times/>
                    <ci>k_Lminus</ci>
                    <apply>
                        <power/>
                        <ci>f</ci>
                        <cn cellml:units="dimensionless">4</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_1i</ci>
                <apply>
                    <divide/>
                    <ci>k_C</ci>
                    <ci>f</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_2i</ci>
                <apply>
                    <divide/>
                    <ci>k_L</ci>
                    <apply>
                        <power/>
                        <ci>f</ci>
                        <cn cellml:units="dimensionless">4</cn>
                    </apply>
                </apply>
            </apply>
            <!--MWC-->
            <apply>
                <eq/>
                <ci>k_C</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">0.5</cn>
                    <ci>alpha</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <apply>
                                <minus/>
                                <ci>V</ci>
                                <ci>V0</ci>
                            </apply>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">8</cn>
                                <ci>K</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_Cminus</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">0.5</cn>
                    <ci>alpha</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <apply>
                                <minus/>
                                <apply>
                                    <minus/>
                                    <ci>V</ci>
                                    <ci>V0</ci>
                                </apply>
                            </apply>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">8</cn>
                                <ci>K</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>O</ci>
                <apply>
                    <plus/>
                    <ci>O_0</ci>
                    <ci>O_1</ci>
                    <ci>O_2</ci>
                    <ci>O_3</ci>
                    <ci>O_4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>C</ci>
                <apply>
                    <plus/>
                    <ci>C_0</ci>
                    <ci>C_1</ci>
                    <ci>C_2</ci>
                    <ci>C_3</ci>
                    <ci>C_4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>norm</ci>
                <apply>
                    <plus/>
                    <ci>C</ci>
                    <ci>O</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>P_o</ci>
                <apply>
                    <divide/>
                    <ci>O</ci>
                    <ci>norm</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Q</ci>
                <apply>
                    <divide/>
                    <apply>
                        <plus/>
                        <apply>
                            <plus/>
                            <ci>O_1</ci>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">2</cn>
                                <ci>O_2</ci>
                            </apply>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">3</cn>
                                <ci>O_3</ci>
                            </apply>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">4</cn>
                                <ci>O_4</ci>
                            </apply>
                        </apply>
                        <apply>
                            <plus/>
                            <ci>C_1</ci>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">2</cn>
                                <ci>C_2</ci>
                            </apply>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">3</cn>
                                <ci>C_3</ci>
                            </apply>
                            <apply>
                                <times/>
                                <cn cellml:units="dimensionless">4</cn>
                                <ci>C_4</ci>
                            </apply>
                        </apply>
                    </apply>
                    <cn cellml:units="dimensionless">4</cn>
                </apply>
            </apply>
        </math>
    </component>
</model>