Location: Model of Human Jejunal Smooth Muscle Cell Electrophysiology @ 4de8d2594e8e / Components / Ionic_concentrations.cellml
- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2021-06-09 17:59:55+12:00
- Desc:
- Update figure titles and documentation;
- Permanent Source URI:
- https://models.cellml.org/workspace/692/rawfile/4de8d2594e8e71c62b4f118f49fde8a277df70d7/Components/Ionic_concentrations.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="Ionic_concentrations" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
<import xlink:href="units.cellml">
<units name="pA" units_ref="pA"/>
<units name="C_per_mmol" units_ref="C_per_mmol"/>
<units name="mM" units_ref="mM"/>
<units name="mM4" units_ref="mM4"/>
<units name="ms" units_ref="ms"/>
<units name="mM_per_ms" units_ref="mM_per_ms"/>
<units name="fM_per_s2mM_per_ms" units_ref="fM_per_s2mM_per_ms"/>
</import>
<component name="Cai">
<variable name="F" public_interface="in" units="C_per_mmol"/>
<variable name="n_CRT" public_interface="in" units="dimensionless"/>
<variable name="n_CaM" public_interface="in" units="dimensionless"/>
<variable name="CRT_total" public_interface="in" units="mM"/>
<variable name="CaM_total" public_interface="in" units="mM"/>
<variable name="K_D_CRT" public_interface="in" units="mM"/>
<variable name="K_D_CaM" public_interface="in" units="mM4"/>
<variable name="I_CaL" public_interface="in" units="pA"/>
<variable name="I_CaT" public_interface="in" units="pA"/>
<variable name="I_NCX" public_interface="in" units="pA"/>
<variable name="V_cell" public_interface="in" units="litre"/>
<variable name="time" public_interface="in" units="ms"/>
<variable name="Cai_total_init" public_interface="in" units="mM"/>
<variable name="Cai_init" public_interface="in" units="mM"/>
<variable initial_value="Cai_total_init" name="Cai_total" public_interface="out" units="mM"/>
<variable initial_value="Cai_init" name="Cai" public_interface="out" units="mM"/>
<variable name="Cai_total_rate" units="mM_per_ms"/>
<variable initial_value="1e-15" name="Cvt" units="fM_per_s2mM_per_ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Cai_total_rate</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>I_CaL</ci>
<ci>I_CaT</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>I_NCX</ci>
</apply>
</apply>
</apply>
<ci>Cvt</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
<ci>V_cell</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Cai_total</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>I_CaL</ci>
<ci>I_CaT</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>I_NCX</ci>
</apply>
</apply>
</apply>
<ci>Cvt</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
<ci>V_cell</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Cai</ci>
</apply>
<apply>
<divide/>
<ci>Cai_total_rate</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<ci>n_CRT</ci>
<ci>CRT_total</ci>
<ci>K_D_CRT</ci>
<apply>
<power/>
<ci>Cai</ci>
<apply>
<minus/>
<ci>n_CRT</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<power/>
<ci>Cai</ci>
<ci>n_CRT</ci>
</apply>
<ci>K_D_CRT</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>n_CaM</ci>
<ci>CaM_total</ci>
<ci>K_D_CaM</ci>
<apply>
<power/>
<ci>Cai</ci>
<apply>
<minus/>
<ci>n_CaM</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<power/>
<ci>Cai</ci>
<ci>n_CaM</ci>
</apply>
<ci>K_D_CaM</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Nai">
<variable name="F" public_interface="in" units="C_per_mmol"/>
<variable name="I_Na" public_interface="in" units="pA"/>
<variable name="I_NaK" public_interface="in" units="pA"/>
<variable name="I_NCX" public_interface="in" units="pA"/>
<variable name="I_NsNa" public_interface="in" units="pA"/>
<variable name="V_cell" public_interface="in" units="litre"/>
<variable name="time" public_interface="in" units="ms"/>
<variable name="Nai_init" public_interface="in" units="mM"/>
<variable initial_value="Nai_init" name="Nai" public_interface="out" units="mM"/>
<variable initial_value="1e-15" name="Cvt" units="fM_per_s2mM_per_ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Nai</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci>I_Na</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>I_NaK</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>I_NCX</ci>
</apply>
<ci>I_NsNa</ci>
</apply>
</apply>
<ci>Cvt</ci>
</apply>
<apply>
<times/>
<ci>F</ci>
<ci>V_cell</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Ki">
<variable name="F" public_interface="in" units="C_per_mmol"/>
<variable name="I_Kv" public_interface="in" units="pA"/>
<variable name="I_BK" public_interface="in" units="pA"/>
<variable name="I_stim" public_interface="in" units="pA"/>
<variable name="I_NaK" public_interface="in" units="pA"/>
<variable name="I_NsK" public_interface="in" units="pA"/>
<variable name="V_cell" public_interface="in" units="litre"/>
<variable name="time" public_interface="in" units="ms"/>
<variable name="Ki_init" public_interface="in" units="mM"/>
<variable initial_value="Ki_init" name="Ki" public_interface="out" units="mM"/>
<variable initial_value="1e-15" name="Cvt" units="fM_per_s2mM_per_ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ki</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>I_Kv</ci>
<ci>I_BK</ci>
<ci>I_stim</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>I_NaK</ci>
</apply>
</apply>
<ci>I_NsK</ci>
</apply>
</apply>
<ci>Cvt</ci>
</apply>
<apply>
<times/>
<ci>F</ci>
<ci>V_cell</ci>
</apply>
</apply>
</apply>
</math>
</component>
</model>