- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2021-04-28 18:15:33+12:00
- Desc:
- Change the unit of T from celsius to kelvin to in line with CellML2.0 spec (but the real temperature unit is still celsius, no need to do conversion when setting the temperature parameter for simulation)
- Permanent Source URI:
- https://models.fieldml.org/workspace/64f/rawfile/c56e1d0255183a1d725eec025cbe79eeee2c8087/components/propagated_AP.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="propagated_AP" 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">
<!-- propagated action potential along 1D cable-->
<import xlink:href="units.cellml">
<units name="mV" units_ref="mV"/>
<units name="ms" units_ref="ms"/>
<units name="per_ms" units_ref="per_ms"/>
<units name="mV_per_ms" units_ref="mV_per_ms"/>
<units name="uA_per_cmsq" units_ref="uA_per_cmsq"/>
<units name="mS_per_cmsq" units_ref="mS_per_cmsq"/>
<units name="uF_per_cmsq" units_ref="uF_per_cmsq"/>
</import>
<import xlink:href="INa.cellml">
<component component_ref="INa" name="INa"/>
</import>
<import xlink:href="IK.cellml">
<component component_ref="IK" name="IK"/>
</import>
<import xlink:href="Ileak.cellml">
<component component_ref="Ileak" name="Ileak"/>
</import>
<component name="propagated_AP">
<variable name="V_initial" private_interface="out" public_interface="in" units="mV"/>
<variable name="n_initial" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="m_initial" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="h_initial" private_interface="out" public_interface="in" units="dimensionless"/>
<variable initial_value="V_initial" name="V" private_interface="out" public_interface="out" units="mV"/>
<variable name="INa" private_interface="in" public_interface="out" units="uA_per_cmsq"/>
<variable name="IK" private_interface="in" public_interface="out" units="uA_per_cmsq"/>
<variable name="Ileak" private_interface="in" public_interface="out" units="uA_per_cmsq"/>
<variable name="Ii" public_interface="out" units="uA_per_cmsq"/>
<variable name="Im" public_interface="out" units="uA_per_cmsq"/>
<variable name="I" public_interface="out" units="uA_per_cmsq"/>
<variable name="gK" private_interface="in" public_interface="out" units="mS_per_cmsq"/>
<variable name="gNa" private_interface="in" public_interface="out" units="mS_per_cmsq"/>
<variable name="g" public_interface="out" units="mS_per_cmsq"/>
<variable name="h" private_interface="in" public_interface="out" units="dimensionless"/>
<variable name="m" private_interface="in" public_interface="out" units="dimensionless"/>
<variable name="n" private_interface="in" public_interface="out" units="dimensionless"/>
<variable name="T" private_interface="out" public_interface="in" units="kelvin" />
<variable name="VNa" private_interface="out" public_interface="in" units="mV"/>
<variable name="VK" private_interface="out" public_interface="in" units="mV"/>
<variable name="Vleak" private_interface="out" public_interface="in" units="mV"/>
<variable name="minus_V" public_interface="out" units="mV"/>
<variable name="gNa_max" private_interface="out" public_interface="in" units="mS_per_cmsq"/>
<variable name="gK_max" private_interface="out" public_interface="in" units="mS_per_cmsq"/>
<variable name="gleak_max" private_interface="out" public_interface="in" units="mS_per_cmsq"/>
<variable name="Cm" private_interface="out" public_interface="in" units="uF_per_cmsq"/>
<variable name="K" public_interface="in" units="per_ms"/>
<variable name="time" private_interface="out" public_interface="in" units="ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Ii</ci>
<apply>
<plus/>
<ci>INa</ci>
<ci>IK</ci>
<ci>Ileak</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
<degree>
<cn cellml:units="dimensionless">2</cn>
</degree>
</bvar>
<ci>V</ci>
</apply>
<apply>
<times/>
<ci>K</ci>
<apply>
<plus/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>V</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>Cm</ci>
</apply>
<ci>Ii</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Im</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>Cm</ci>
</apply>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>Cm</ci>
<ci>K</ci>
</apply>
<apply>
<diff/>
<bvar>
<ci>time</ci>
<degree>
<cn cellml:units="dimensionless">2</cn>
</degree>
</bvar>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply id="minus_V_calculation">
<eq/>
<ci>minus_V</ci>
<apply>
<minus/>
<ci>V</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>g</ci>
<apply>
<plus/>
<ci>gK</ci>
<ci>gNa</ci>
<ci>gleak_max</ci>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="propagated_AP">
<component_ref component="INa"/>
<component_ref component="IK"/>
<component_ref component="Ileak"/>
</component_ref>
</group>
<connection>
<map_components component_1="propagated_AP" component_2="INa"/>
<map_variables variable_1="INa" variable_2="INa"/>
<map_variables variable_1="h" variable_2="h"/>
<map_variables variable_1="m" variable_2="m"/>
<map_variables variable_1="m_initial" variable_2="m_initial"/>
<map_variables variable_1="h_initial" variable_2="h_initial"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="VNa" variable_2="VNa"/>
<map_variables variable_1="gNa_max" variable_2="gNa_max"/>
<map_variables variable_1="gNa" variable_2="gNa"/>
</connection>
<connection>
<map_components component_1="propagated_AP" component_2="IK"/>
<map_variables variable_1="IK" variable_2="IK"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="n_initial" variable_2="n_initial"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="VK" variable_2="VK"/>
<map_variables variable_1="gK_max" variable_2="gK_max"/>
<map_variables variable_1="gK" variable_2="gK"/>
</connection>
<connection>
<map_components component_1="propagated_AP" component_2="Ileak"/>
<map_variables variable_1="Ileak" variable_2="Ileak"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="Vleak" variable_2="Vleak"/>
<map_variables variable_1="gleak_max" variable_2="gleak_max"/>
</connection>
</model>
