- Author:
- Amr Al Abed <amr_aa@gmx.com>
- Date:
- 2016-03-18 15:30:35+11:00
- Desc:
- Added a documentation folder. In folder added four figures describing the model structure
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/28b/rawfile/593f7ed7d657f8f64e91ea5fe5725ea3a5684296/AlAbed_2013_pSAN_model/inward_generic_current
<?xml version='1.0'?>
<model name="inward_generic_current" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<!--Author: Amr Al Abed
Date: 12/02/2016
Inward generic ionic current based on the (i2) formulation of Al Abed et al 2013 for a peripheral sino-atrial node cell
Define units-->
<units name="millivolt">
<unit prefix="milli" units="volt"/>
</units>
<units name="nanoA_per_cm2">
<unit prefix="nano" units="ampere"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<units name="microS_per_cm2">
<unit prefix="micro" units="siemens"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<units name="per_sec">
<unit exponent="-1" units="second"/>
</units>
<units name="per_millivolt">
<unit exponent="-1" units="millivolt"/>
</units>
<units name="millisec">
<unit prefix="milli" units="second"/>
</units>
<component name="environment">
<variable name="V" public_interface="out" units="millivolt"/>
<variable name="t" public_interface="out" units="millisec"/>
</component>
<!--Define encapsulation of p2 and q2 gates-->
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="inward_generic_channel">
<component_ref component="inward_generic_channel_p2_gate"/>
<component_ref component="inward_generic_channel_q2_gate"/>
</component_ref>
</group>
<!--Define component 'inward generic channel' -->
<component name="inward_generic_channel">
<!--Define units and initial conditions for variables-->
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="t" private_interface="out" public_interface="in" units="second"/>
<variable name="p_2" private_interface="in" units="dimensionless"/>
<variable name="q_2" private_interface="in" units="dimensionless"/>
<variable name="i_2" public_interface="out" units="nanoA_per_cm2"/>
<variable initial_value="2856.22" name="g_2" units="microS_per_cm2"/>
<variable initial_value="8.12" name="E_2" units="millivolt"/>
<variable name="i2_conductance" public_interface="out" units="microS_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i2_conductance</ci>
<apply>
<times/>
<ci>g_2</ci>
<ci>p_2</ci>
<ci>q_2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_2</ci>
<apply>
<times/>
<ci>i2_conductance</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_2</ci>
</apply>
</apply>
</apply>
</math>
</component>
<!--Define component ‘inward generic channel p2 gate’-->
<component name="inward_generic_channel_p2_gate">
<!--Define units and initial conditions for variables-->
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="t" public_interface="in" units="second"/>
<variable initial_value="0.0" name="p_2" public_interface="out" units="dimensionless"/>
<variable name="alpha_p2" units="per_sec"/>
<variable name="beta_p2" units="per_sec"/>
<variable initial_value="123.81" name="k_alphaP2" units="per_sec"/>
<variable initial_value="-4.19" name="s_alphaP2" units="per_millivolt"/>
<variable initial_value="2643.18" name="k_betaP2" units="per_sec"/>
<variable initial_value="0.06" name="s_betaP2" units="per_millivolt"/>
<variable initial_value="-67.13" name="E50_p2" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_p2</ci>
<apply>
<divide/>
<ci>k_alphaP2</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<ci>s_alphaP2</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E50_p2</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_p2</ci>
<apply>
<divide/>
<ci>k_betaP2</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<ci>s_betaP2</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E50_p2</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>p_2</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_p2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>p_2</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_p2</ci>
<ci>p_2</ci>
</apply>
</apply>
</apply>
</math>
</component>
<!--Define component ‘inward generic channel q1 gate’-->
<component name="inward_generic_channel_q2_gate">
<!--Define units and initial conditions for variables-->
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="t" public_interface="in" units="second"/>
<variable initial_value="0.35" name="q_2" public_interface="out" units="dimensionless"/>
<variable name="alpha_q2" units="per_sec"/>
<variable name="beta_q2" units="per_sec"/>
<variable initial_value="4.86" name="k_alphaQ2" units="per_sec"/>
<variable initial_value="1.62" name="s_alphaQ2" units="per_millivolt"/>
<variable initial_value="28.56" name="k_betaQ2" units="per_sec"/>
<variable initial_value="-1.85" name="s_betaQ2" units="per_millivolt"/>
<variable initial_value="-69.48" name="E50_q2" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_q2</ci>
<apply>
<divide/>
<ci>k_alphaQ2</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<ci>s_alphaQ2</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E50_q2</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_q2</ci>
<apply>
<divide/>
<ci>k_betaQ2</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<ci>s_betaQ2</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E50_q2</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_2</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_q2</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>q_2</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_q2</ci>
<ci>q_2</ci>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="inward_generic_channel"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
</connection>
<connection>
<map_components component_1="inward_generic_channel" component_2="inward_generic_channel_p2_gate"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="p_2" variable_2="p_2"/>
</connection>
<connection>
<map_components component_1="inward_generic_channel" component_2="inward_generic_channel_q2_gate"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="q_2" variable_2="q_2"/>
</connection>
</model>
