Location: Modeling the Recruitment and Synchronization of SMCs (Koenigsberger et al. 2004) @ eb9b6ae06871 / Components / buildsrc / Equations.cellml
- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2022-06-15 11:08:09+12:00
- Desc:
- Include simFig3
- Permanent Source URI:
- https://models.cellml.org/workspace/874/rawfile/eb9b6ae068716f451953bd5900bcfdaa5761b0cf/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_NKAi</ci>
<ci>F_NKA</ci>
</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/>
<apply>
<plus/>
<ci>J_IP3i</ci>
<ci>J_VOCCi</ci>
</apply>
<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>I_i</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>J_PLCagonisti</ci>
<ci>J_PLC_delta_i</ci>
</apply>
<ci>J_degradi</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_PLC_delta_i</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>E</ci>
<apply>
<power/>
<ci>c_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_Ca</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power/>
<ci>c_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_degradi</ci>
<apply>
<times/>
<ci>k</ci>
<ci>I_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_IP3i</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>F_IP3</ci>
<apply>
<power/>
<ci>I_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_r</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power/>
<ci>I_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>KCl</ci>
<ci>X</ci>
</apply>
<apply>
<eq/>
<ci>Clo</ci>
<apply>
<plus/>
<cn cellml:units="mM">147</cn>
<ci>KCl</ci>
</apply>
</apply>
</math>
</component>
</model>