- Author:
- Shelley Fong <sfon036@UoA.auckland.ac.nz>
- Date:
- 2024-09-27 09:52:37+12:00
- Desc:
- init
- Permanent Source URI:
- https://models.cellml.org/workspace/702/rawfile/841bbcd6641a430406471e20e4c7466aaea97112/gating_Ica.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="gating_eq" 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="unit.cellml">
<units name="per_ms" units_ref="per_ms"/>
<units name="mV" units_ref="mV"/>
<!-- unit mM using unit mM;-->
<units name="mV_ms" units_ref="mV_ms"/>
<units name="ms" units_ref="ms"/>
<!-- unit pA_per_pF using unit pA_per_pF;
unit nS_per_pF using unit nS_per_pF;-->
</import>
<component name="gating_Ica">
<variable name="v" public_interface="in" units="mV"/>
<variable name="alpha_act" public_interface="out" units="per_ms"/>
<variable name="beta_act" public_interface="out" units="per_ms"/>
<variable name="alpha_inact" public_interface="out" units="per_ms"/>
<variable name="beta_inact" public_interface="out" units="per_ms"/>
<!-- var act_inact: dimensionless {pub: out};
var g_Kr: dimensionless {pub: out};
var i_Kr: dimensionless {pub: out};
var Xr1_0: dimensionless {pub: in};-->
<variable name="d_1" public_interface="in" units="dimensionless"/>
<variable name="d_2" public_interface="in" units="dimensionless"/>
<variable name="d_3" public_interface="out" units="dimensionless"/>
<variable name="d_4" public_interface="out" units="dimensionless"/>
<variable name="d_5" public_interface="in" units="dimensionless"/>
<variable name="d_6" public_interface="in" units="dimensionless"/>
<variable name="f_1" public_interface="in" units="dimensionless"/>
<variable name="f_2" public_interface="in" units="dimensionless"/>
<variable name="f_3" public_interface="out" units="dimensionless"/>
<variable name="f_4" public_interface="out" units="dimensionless"/>
<variable name="f_5" public_interface="in" units="dimensionless"/>
<variable name="f_6" public_interface="in" units="dimensionless"/>
<variable name="tau_d_const" public_interface="in" units="dimensionless"/>
<variable name="tau_f_const" public_interface="in" units="dimensionless"/>
<variable name="x_ca_inf_act" public_interface="out" units="dimensionless"/>
<variable name="x_ca_inf_inact" public_interface="out" units="dimensionless"/>
<variable name="tau_ca_act" public_interface="out" units="ms"/>
<variable name="tau_ca_inact" public_interface="out" units="ms"/>
<variable name="scale_Ical_Fca_Cadep" public_interface="out" units="dimensionless"/>
<variable name="alpha_fCa" public_interface="out" units="per_ms"/>
<variable name="beta_fCa" public_interface="out" units="per_ms"/>
<variable name="gamma_fCa" public_interface="out" units="per_ms"/>
<variable name="ca_i" public_interface="in" units="mM"/>
<variable initial_value="7.169281" name="Na_i" public_interface="out" units="mM"/>
<!-- var K_i : dimensionless {init: 104.749, pub: out};-->
<variable initial_value="2" name="tau_fca" public_interface="out" units="dimensionless"/>
<variable name="x_fca_inf_inact" public_interface="out" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>d_3</ci>
<apply>
<times/>
<ci>d_5</ci>
<ci>d_1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>f_3</ci>
<apply>
<times/>
<ci>f_5</ci>
<ci>f_1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>d_4</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>d_2</ci>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>d_6</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_4</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>f_2</ci>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>f_6</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_act</ci>
<apply>
<times/>
<ci>d_1</ci>
<apply>
<exp/>
<apply>
<divide/>
<ci>v</ci>
<ci>d_2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_act</ci>
<apply>
<times/>
<ci>d_3</ci>
<apply>
<exp/>
<apply>
<divide/>
<ci>v</ci>
<ci>d_4</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x_ca_inf_act</ci>
<apply>
<divide/>
<ci>alpha_act</ci>
<apply>
<plus/>
<ci>alpha_act</ci>
<ci>beta_act</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_ca_act</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_act</ci>
<ci>beta_act</ci>
</apply>
</apply>
<ci>tau_d_const</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_inact</ci>
<apply>
<times/>
<ci>f_1</ci>
<apply>
<exp/>
<apply>
<divide/>
<ci>v</ci>
<ci>f_2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_inact</ci>
<apply>
<times/>
<ci>f_3</ci>
<apply>
<exp/>
<apply>
<divide/>
<ci>v</ci>
<ci>f_4</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x_ca_inf_inact</ci>
<apply>
<divide/>
<ci>alpha_inact</ci>
<apply>
<plus/>
<ci>alpha_inact</ci>
<ci>beta_inact</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_ca_inact</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_inact</ci>
<ci>beta_inact</ci>
</apply>
</apply>
<ci>tau_f_const</ci>
</apply>
</apply>
<!-- % 9: fCa (dimensionless) (calcium-dependent inactivation in i_CaL)
% from Ten tusscher 2004-->
<apply>
<eq/>
<ci>scale_Ical_Fca_Cadep</ci>
<cn cellml:units="dimensionless">1.2</cn>
</apply>
<apply>
<eq/>
<ci>alpha_fCa</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<ci>scale_Ical_Fca_Cadep</ci>
<ci>ca_i</ci>
</apply>
<cn cellml:units="dimensionless">.000325</cn>
</apply>
<cn cellml:units="dimensionless">8</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_fCa</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>scale_Ical_Fca_Cadep</ci>
<ci>ca_i</ci>
</apply>
<cn cellml:units="dimensionless">.0005</cn>
</apply>
<cn cellml:units="dimensionless">0.0001</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>gamma_fCa</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.2</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>scale_Ical_Fca_Cadep</ci>
<ci>ca_i</ci>
</apply>
<cn cellml:units="dimensionless">0.00075</cn>
</apply>
<cn cellml:units="dimensionless">0.0008</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x_fca_inf_inact</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>alpha_fCa</ci>
<ci>beta_fCa</ci>
<ci>gamma_fCa</ci>
<cn cellml:units="dimensionless">0.23</cn>
</apply>
<cn cellml:units="dimensionless">1.46</cn>
</apply>
</apply>
</math>
</component>
</model>
