Location: Single PASMC model (Gosak et al 2014) @ 887894c158d4 / Components / buildsrc / Equations.cellml
- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2022-06-13 11:44:41+12:00
- Desc:
- Modify the intracelluar K from 4.7 mM to 5.9 mM
- Permanent Source URI:
- https://models.cellml.org/workspace/83f/rawfile/887894c158d460d4505bd3fb26d23a7b939ca442/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">
<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>