- Author:
- aram148 <a.rampadarath@auckland.ac.nz>
- Date:
- 2021-06-29 14:36:26+12:00
- Desc:
- updated working agonist driven FTU
- Permanent Source URI:
- http://models.cellml.org/workspace/6b0/rawfile/f517ddde5404c765afb80b982714243bc9eddcf6/Airway_FTU/cellml2_version/experiment1/hai1.cellml
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<import xlink:href="ca2.cellml">
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</import>
<units name="nanometre">
<unit prefix="nano" units="metre"/>
</units>
<units name="first_order_rate_constant">
<unit exponent="-1" units="second"/>
</units>
<component name="environment">
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</component>
<component name="M">
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<variable name="AM" units="dimensionless" interface="public"/>
<variable name="Mp" units="dimensionless" interface="public"/>
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<variable name="k2" units="first_order_rate_constant" interface="public"/>
<variable name="k7" units="first_order_rate_constant" interface="public"/>
<variable name="time" units="second" interface="public"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
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<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>M</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
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</apply>
<ci>M</ci>
</apply>
<apply>
<times/>
<ci>k2</ci>
<ci>Mp</ci>
</apply>
<apply>
<times/>
<ci>k7</ci>
<ci>AM</ci>
</apply>
</apply>
</apply>
</math>
</component>
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<variable name="k2" units="first_order_rate_constant" interface="public"/>
<variable name="k3" units="first_order_rate_constant" interface="public"/>
<variable name="k4" units="first_order_rate_constant" interface="public"/>
<variable name="time" units="second" interface="public"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
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<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Mp</ci>
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<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>k4</ci>
<ci>AMp</ci>
</apply>
<apply>
<times/>
<ci>k1</ci>
<ci>M</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k2</ci>
<ci>k3</ci>
</apply>
<ci>Mp</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="AMp">
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<variable name="Mp" units="dimensionless" interface="public"/>
<variable name="AM" units="dimensionless" interface="public"/>
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<variable name="k6" units="first_order_rate_constant" interface="public"/>
<variable name="k3" units="first_order_rate_constant" interface="public"/>
<variable name="k4" units="first_order_rate_constant" interface="public"/>
<variable name="time" units="second" interface="public"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
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<eq/>
<apply>
<diff/>
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<apply>
<plus/>
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<times/>
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<ci>Mp</ci>
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<times/>
<ci>k6</ci>
<ci>AM</ci>
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<times/>
<apply>
<plus/>
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</apply>
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</math>
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<variable name="AMp" units="dimensionless" interface="public"/>
<variable name="k5" units="first_order_rate_constant" interface="public"/>
<variable name="k6" units="first_order_rate_constant" interface="public"/>
<variable name="k7" units="first_order_rate_constant" interface="public"/>
<variable name="time" units="second" interface="public"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>AM</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k5</ci>
<ci>AMp</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k6</ci>
<ci>k7</ci>
</apply>
<ci>AM</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="phosphorylation">
<variable name="phosphorylation" units="dimensionless"/>
<variable name="AMp" units="dimensionless" interface="public"/>
<variable name="Mp" units="dimensionless" interface="public"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>phosphorylation</ci>
<apply>
<plus/>
<ci>AMp</ci>
<ci>Mp</ci>
</apply>
</apply>
</math>
</component>
<component name="stress">
<variable name="stress" units="dimensionless" interface="public"/>
<variable name="AMp" units="dimensionless" interface="public"/>
<variable name="AM" units="dimensionless" interface="public"/>
<!-- var kappa: dimensionless {pub: in};-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>stress</ci>
<apply>
<plus/>
<ci>AMp</ci>
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</apply>
</apply>
</math>
</component>
<component name="model_parameters">
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<variable name="k2" units="first_order_rate_constant" interface="public"/>
<variable name="k5" units="first_order_rate_constant" interface="public"/>
<variable name="k6" units="first_order_rate_constant" interface="public"/>
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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<eq/>
<ci>k6</ci>
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<apply>
<eq/>
<ci>k5</ci>
<ci>k2</ci>
</apply>
</math>
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<connection component_1="Mp" component_2="environment">
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<connection component_1="AMp" component_2="environment">
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<connection component_1="AM" component_2="environment">
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection component_1="M" component_2="model_parameters">
<map_variables variable_1="k7" variable_2="k7"/>
<!-- vars k1 and k1;
vars k2 and k2;-->
</connection>
<connection component_1="M" component_2="calcium">
<map_variables variable_1="k1" variable_2="k1"/>
<map_variables variable_1="k2" variable_2="k2"/>
</connection>
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<!-- vars k2 and k2;
vars k1 and k1;-->
</connection>
<connection component_1="Mp" component_2="calcium">
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<map_variables variable_1="k5" variable_2="k5"/>
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<connection component_1="Mp" component_2="AMp">
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<map_variables variable_1="AMp" variable_2="AMp"/>
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<connection component_1="phosphorylation" component_2="AMp">
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<connection component_1="phosphorylation" component_2="Mp">
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<connection component_1="stress" component_2="AMp">
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</connection>
<connection component_1="stress" component_2="AM">
<map_variables variable_1="AM" variable_2="AM"/>
</connection>
</model>
