Location: ECC_MSK (Rios et al. 1993) @ 20e3e451c787 / Components / buildsrc / Equations.cellml
- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2022-07-01 10:53:47+12:00
- Desc:
- First version of the model and original data
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/8af/rawfile/20e3e451c78771d3f0cb8f5244f0ca68d84b4139/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_S2-->
<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/>
<ci>N</ci>
<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>
<!--CN_S2-->
<apply>
<eq/>
<ci>k_i1</ci>
<apply>
<times/>
<ci>k_Cminus</ci>
<ci>N</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k_i2</ci>
<apply>
<divide/>
<ci>k_L</ci>
<apply>
<power/>
<ci>f</ci>
<ci>N</ci>
</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>
<ci>N</ci>
</apply>
</apply>
</apply>
<!--C_S3-->
<apply>
<eq/>
<ci>k_i1</ci>
<apply>
<times/>
<ci>k_Cminus</ci>
<ci>i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k_i2</ci>
<apply>
<divide/>
<ci>k_L</ci>
<apply>
<power/>
<ci>f</ci>
<ci>i</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_i3</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>N</ci>
<ci>i</ci>
</apply>
<ci>k_C</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k_1i</ci>
<apply>
<times/>
<apply>
<plus/>
<apply>
<minus/>
<ci>N</ci>
<ci>i</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k_C</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k_2i</ci>
<apply>
<times/>
<ci>k_Lminus</ci>
<apply>
<power/>
<ci>f</ci>
<ci>i</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_3i</ci>
<apply>
<times/>
<apply>
<plus/>
<ci>i</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k_Cminus</ci>
</apply>
</apply>
<!--O_S2-->
<apply>
<eq/>
<ci>k_i1</ci>
<ci>k_Lminus</ci>
</apply>
<apply>
<eq/>
<ci>k_i2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>N</ci>
<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>
<!--ON_S2-->
<apply>
<eq/>
<ci>k_i1</ci>
<apply>
<times/>
<ci>k_Cminus</ci>
<ci>N</ci>
<ci>f</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k_i2</ci>
<apply>
<times/>
<ci>k_Lminus</ci>
<apply>
<power/>
<ci>f</ci>
<ci>N</ci>
</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>
<ci>N</ci>
</apply>
</apply>
</apply>
<!--O_S3-->
<apply>
<eq/>
<ci>k_i1</ci>
<apply>
<times/>
<ci>k_Cminus</ci>
<ci>i</ci>
<ci>f</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k_i2</ci>
<apply>
<times/>
<ci>k_Lminus</ci>
<apply>
<power/>
<ci>f</ci>
<ci>i</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_i3</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>N</ci>
<ci>i</ci>
</apply>
<ci>k_C</ci>
</apply>
<ci>f</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k_1i</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<apply>
<minus/>
<ci>N</ci>
<ci>i</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<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>
<ci>i</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_3i</ci>
<apply>
<times/>
<apply>
<plus/>
<ci>i</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>k_Cminus</ci>
<ci>f</ci>
</apply>
</apply>
<!--MWC_10-->
<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/>
<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>
<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>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>dQ</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>dO_1</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>dO_2</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>dO_3</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>dO_4</ci>
</apply>
<ci>dC_1</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>dC_2</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>dC_3</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>dC_4</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
<!--MWC_18-->
<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>
<ci>O_5</ci>
<ci>O_6</ci>
<ci>O_7</ci>
<ci>O_8</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>
<ci>C_5</ci>
<ci>C_6</ci>
<ci>C_7</ci>
<ci>C_8</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/>
<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>
<times/>
<cn cellml:units="dimensionless">5</cn>
<ci>O_5</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">6</cn>
<ci>O_6</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">7</cn>
<ci>O_7</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">8</cn>
<ci>O_8</ci>
</apply>
<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>
<times/>
<cn cellml:units="dimensionless">5</cn>
<ci>C_5</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">6</cn>
<ci>C_6</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">7</cn>
<ci>C_7</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">8</cn>
<ci>C_8</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">8</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>dQ</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>dO_1</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>dO_2</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>dO_3</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>dO_4</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">5</cn>
<ci>dO_5</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">6</cn>
<ci>dO_6</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">7</cn>
<ci>dO_7</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">8</cn>
<ci>dO_8</ci>
</apply>
<ci>dC_1</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>dC_2</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>dC_3</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>dC_4</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">5</cn>
<ci>dC_5</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">6</cn>
<ci>dC_6</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">7</cn>
<ci>dC_7</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">8</cn>
<ci>dC_8</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">8</cn>
</apply>
</apply>
</math>
</component>
</model>