- Author:
- Michael Pan <mpan92@gmail.com>
- Date:
- 2020-08-27 08:39:13+10:00
- Desc:
- Fixed units
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/4ce/rawfile/6baaa1d0bfa1a0772c316ab59631b619df2601f4/Code/CellML/Terkildsen_NaK_kinetic_Fig2a.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="Terkildsen_NaK_kinetic_Fig2a" 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="Terkildsen_NaK_kinetic_modular.cellml">
<units name="per_second" units_ref="per_second"/>
<units name="mV" units_ref="mV"/>
<units name="mV_per_sec" units_ref="mV_per_sec"/>
<units name="mM" units_ref="mM"/>
</import>
<import xlink:href="Terkildsen_NaK_kinetic_modular.cellml">
<component component_ref="environment" name="NaK_ATPase"/>
</import>
<import xlink:href="Terkildsen_NaK_kinetic_modular.cellml">
<component component_ref="environment" name="NaK_ATPase2"/>
</import>
<import xlink:href="Terkildsen_NaK_kinetic_modular.cellml">
<component component_ref="environment" name="NaK_ATPase3"/>
</import>
<import xlink:href="Terkildsen_NaK_kinetic_modular.cellml">
<component component_ref="environment" name="NaK_ATPase4"/>
</import>
<component name="environment">
<variable initial_value="0" name="t" units="second"/>
<variable initial_value="1.5" name="Nae1" public_interface="out" units="mM"/>
<variable initial_value="50" name="Nae2" public_interface="out" units="mM"/>
<variable initial_value="100" name="Nae3" public_interface="out" units="mM"/>
<variable initial_value="150" name="Nae4" public_interface="out" units="mM"/>
<variable initial_value="-120" name="Vm" public_interface="out" units="mV"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Vm</ci>
</apply>
<cn cellml:units="mV_per_sec">1</cn>
</apply>
</math>
<variable name="v_cyc_nak1" public_interface="in" units="per_second"/>
<variable name="v_cyc_nak2" public_interface="in" units="per_second"/>
<variable name="v_cyc_nak3" public_interface="in" units="per_second"/>
<variable name="v_cyc_nak4" public_interface="in" units="per_second"/>
<!-- Use fudge factors to normalise cycling rates to 55s^-1 at 40mV-->
<variable name="scaling_factor1" units="dimensionless"/>
<variable name="scaling_factor2" units="dimensionless"/>
<variable name="scaling_factor3" units="dimensionless"/>
<variable name="scaling_factor4" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>scaling_factor1</ci>
<apply>
<divide/>
<cn cellml:units="per_second">55</cn>
<cn cellml:units="per_second">55.61648</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>scaling_factor2</ci>
<apply>
<divide/>
<cn cellml:units="per_second">55</cn>
<cn cellml:units="per_second">55.59023</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>scaling_factor3</ci>
<apply>
<divide/>
<cn cellml:units="per_second">55</cn>
<cn cellml:units="per_second">55.44182</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>scaling_factor4</ci>
<apply>
<divide/>
<cn cellml:units="per_second">55</cn>
<cn cellml:units="per_second">55.05310</cn>
</apply>
</apply>
</math>
<variable name="scaled_v_cyc1" units="per_second"/>
<variable name="scaled_v_cyc2" units="per_second"/>
<variable name="scaled_v_cyc3" units="per_second"/>
<variable name="scaled_v_cyc4" units="per_second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>scaled_v_cyc1</ci>
<apply>
<times/>
<ci>scaling_factor1</ci>
<ci>v_cyc_nak1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>scaled_v_cyc2</ci>
<apply>
<times/>
<ci>scaling_factor2</ci>
<ci>v_cyc_nak2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>scaled_v_cyc3</ci>
<apply>
<times/>
<ci>scaling_factor3</ci>
<ci>v_cyc_nak3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>scaled_v_cyc4</ci>
<apply>
<times/>
<ci>scaling_factor4</ci>
<ci>v_cyc_nak4</ci>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="NaK_ATPase"/>
<map_variables variable_1="Nae1" variable_2="Nae"/>
<map_variables variable_1="Vm" variable_2="Vm"/>
<map_variables variable_1="v_cyc_nak1" variable_2="v_cyc_nak"/>
</connection>
<connection>
<map_components component_1="environment" component_2="NaK_ATPase2"/>
<map_variables variable_1="Nae2" variable_2="Nae"/>
<map_variables variable_1="Vm" variable_2="Vm"/>
<map_variables variable_1="v_cyc_nak2" variable_2="v_cyc_nak"/>
</connection>
<connection>
<map_components component_1="environment" component_2="NaK_ATPase3"/>
<map_variables variable_1="Nae3" variable_2="Nae"/>
<map_variables variable_1="Vm" variable_2="Vm"/>
<map_variables variable_1="v_cyc_nak3" variable_2="v_cyc_nak"/>
</connection>
<connection>
<map_components component_1="environment" component_2="NaK_ATPase4"/>
<map_variables variable_1="Nae4" variable_2="Nae"/>
<map_variables variable_1="Vm" variable_2="Vm"/>
<map_variables variable_1="v_cyc_nak4" variable_2="v_cyc_nak"/>
</connection>
</model>
