- Author:
- aram148 <a.rampadarath@auckland.ac.nz>
- Date:
- 2021-11-04 16:02:42+13:00
- Desc:
- Updated USMC-Bursztyn model
- Permanent Source URI:
- http://models.cellml.org/workspace/6b0/rawfile/4c1ab73f48d7150c2094cf8017425482a1594ccf/Airway_FTU/wang2010/ca2.cellml
<?xml version='1.0'?>
<model name="ca2" 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">
<!-- def import using "units.cellml" for
unit per_mM_per_sec using unit per_mM_per_sec;
unit mV using unit mV;
unit per_sec using unit per_sec;
unit mM using unit mM;
unit nS_per_mM using unit nS_per_mM;
unit C_per_mol using unit C_per_mol;
unit per_mM using unit per_mM;
unit mM_per_sec using unit mM_per_sec;
unit mJ_per_K_per_mol using unit mJ_per_K_per_mol;
unit uA_per_cmsq using unit uA_per_cmsq;
enddef;-->
<import xlink:href="wang2010.cellml">
<component component_ref="asm_ca" name="asm_ca"/>
<component component_ref="ca_parameters" name="ca_parameters"/>
</import>
<units name="per_sec">
<unit exponent="-1" units="second"/>
</units>
<units name="mM">
<unit prefix="micro" units="mole"/>
<unit exponent="-1" units="litre"/>
</units>
<!-- def comp environment as
var time: second {pub: out};
enddef;-->
<component name="calcium">
<variable name="time" public_interface="in" units="second"/>
<variable name="k1" public_interface="out" units="per_sec"/>
<variable name="k2" public_interface="out" units="per_sec"/>
<variable initial_value="0.5962" name="k1a" units="per_sec"/>
<variable name="c" public_interface="in" units="mM"/>
<variable initial_value="1.35" name="k1b" units="mM"/>
<variable initial_value="156.9" name="tau" units="second"/>
<variable initial_value="0" name="P" units="dimensionless"/>
<variable name="kon" units="dimensionless"/>
<variable name="koff" units="dimensionless"/>
<variable initial_value="242.14" name="k2b" units="per_sec"/>
<variable initial_value="0.000125" name="kon1" units="dimensionless"/>
<variable initial_value="0.8988" name="kon2" units="mM"/>
<variable initial_value="0.4629" name="koff1" units="dimensionless"/>
<variable initial_value="20.035" name="koff2" units="dimensionless"/>
<variable name="p" public_interface="in" units="mM"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>kon</ci>
<apply>
<plus/>
<ci>kon1</ci>
<apply>
<divide/>
<apply>
<power/>
<ci>c</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>kon2</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power/>
<ci>c</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>koff</ci>
<apply>
<plus/>
<ci>koff1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>koff2</ci>
<ci>p</ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>p</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>tau</ci>
</apply>
<ci>kon</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>P</ci>
</apply>
</apply>
<apply>
<times/>
<ci>koff</ci>
<ci>P</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k2</ci>
<apply>
<times/>
<ci>k2b</ci>
<apply>
<power/>
<ci>P</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>k1a</ci>
<apply>
<power/>
<ci>c</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>k1b</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
<apply>
<power/>
<ci>c</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<!-- def map between calcium and asm_ca for
vars c and c;
vars p and p;
enddef;-->
<!-- def map between environment and asm_ca for
vars time and time;
enddef;-->
<!-- def map between environment and calcium for
vars time and time;
enddef;-->
</model>
