- Author:
- Amr Al Abed <amr_aa@gmx.com>
- Date:
- 2016-03-04 18:47:34+11:00
- Desc:
- Uploading files - programmed using openCOR
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/28b/rawfile/1e3fe21cccfedd3d893bc922849e749c8cff2a18/AlAbed_2013_pSAN_model/outward_generic_current
<?xml version='1.0'?>
<model name="outward_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
Outward generic ionic current based on the (i1) 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 p1 and q1 gates-->
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="outward_generic_channel">
<component_ref component="outward_generic_channel_p1_gate"/>
<component_ref component="outward_generic_channel_q1_gate"/>
</component_ref>
</group>
<!--Define component 'outward generic channel' -->
<component name="outward_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_1" private_interface="in" units="dimensionless"/>
<variable name="q_1" private_interface="in" units="dimensionless"/>
<variable name="i_1" public_interface="out" units="nanoA_per_cm2"/>
<variable initial_value="40.61" name="g_1" units="microS_per_cm2"/>
<variable initial_value="-97.57" name="E_1" units="millivolt"/>
<variable name="i1_conductance" public_interface="out" units="microS_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i1_conductance</ci>
<apply>
<times/>
<ci>g_1</ci>
<ci>p_1</ci>
<ci>q_1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_1</ci>
<apply>
<times/>
<ci>i1_conductance</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_1</ci>
</apply>
</apply>
</apply>
</math>
</component>
<!--Define component ‘outward generic channel p1 gate’-->
<component name="outward_generic_channel_p1_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="0.11" name="p_1" public_interface="out" units="dimensionless"/>
<variable name="alpha_p1" units="per_sec"/>
<variable name="beta_p1" units="per_sec"/>
<variable initial_value="3202.9" name="k_alphaP1" units="per_sec"/>
<variable initial_value="-0.72" name="s_alphaP1" units="per_millivolt"/>
<variable initial_value="50.02" name="k_betaP1" units="per_sec"/>
<variable initial_value="0" name="s_betaP1" units="per_millivolt"/>
<variable initial_value="-53.04" name="E50_p1" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_p1</ci>
<apply>
<divide/>
<ci>k_alphaP1</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<ci>s_alphaP1</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E50_p1</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_p1</ci>
<apply>
<divide/>
<ci>k_betaP1</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<ci>s_betaP1</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E50_p1</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>p_1</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_p1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>p_1</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_p1</ci>
<ci>p_1</ci>
</apply>
</apply>
</apply>
</math>
</component>
<!--Define component ‘outward generic channel q1 gate’-->
<component name="outward_generic_channel_q1_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="1" name="q_1" public_interface="out" units="dimensionless"/>
<variable name="alpha_q1" units="per_sec"/>
<variable name="beta_q1" units="per_sec"/>
<variable initial_value="142.89" name="k_alphaQ1" units="per_sec"/>
<variable initial_value="-1.99" name="s_alphaQ1" units="per_millivolt"/>
<variable initial_value="58.92" name="k_betaQ1" units="per_sec"/>
<variable initial_value="0.76" name="s_betaQ1" units="per_millivolt"/>
<variable initial_value="-97.73" name="E50_q1" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_q1</ci>
<apply>
<divide/>
<ci>k_alphaQ1</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<ci>s_alphaQ1</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E50_q1</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_q1</ci>
<apply>
<divide/>
<ci>k_betaQ1</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<ci>s_betaQ1</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E50_q1</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_1</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_q1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>q_1</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_q1</ci>
<ci>q_1</ci>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="outward_generic_channel"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
</connection>
<connection>
<map_components component_1="outward_generic_channel" component_2="outward_generic_channel_p1_gate"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="p_1" variable_2="p_1"/>
</connection>
<connection>
<map_components component_1="outward_generic_channel" component_2="outward_generic_channel_q1_gate"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="q_1" variable_2="q_1"/>
</connection>
</model>
