Location: cellLib @ a7940fcacd45 / Components / CB4Yang.cellml
- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2023-04-04 15:51:18+12:00
- Desc:
- Add a steady state example
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/6bc/rawfile/a7940fcacd455a09bdb7beac0da91eca79cf1adb/Components/CB4Yang.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!-- Four-state kinetic model of Yang et al (2003)
Yang, Jin, et al. "The myogenic response in isolated rat cerebrovascular arteries: smooth muscle cell model."
Medical engineering & physics 25.8 (2003): 691-709.-->
<model name="CB4Yang" 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="units.cellml">
<units name="per_ms" units_ref="per_ms"/>
<units name="ms" units_ref="ms"/>
<units name="mM" units_ref="mM"/>
<units name="per_mM_ms" units_ref="per_mM_ms"/>
<units name="per_mMsq_ms" units_ref="per_mMsq_ms"/>
</import>
<component name="CB4Yang">
<variable name="time" public_interface="in" units="ms"/>
<variable name="R00_init" public_interface="in" units="dimensionless"/>
<variable name="R10_init" public_interface="in" units="dimensionless"/>
<variable name="R01_init" public_interface="in" units="dimensionless"/>
<variable name="R11_init" public_interface="in" units="dimensionless"/>
<variable name="K_r1" public_interface="in" units="per_mMsq_ms"/>
<variable name="K_r1minus" public_interface="in" units="per_ms"/>
<variable name="K_r2" public_interface="in" units="per_mM_ms"/>
<variable name="K_r2minus" public_interface="in" units="per_ms"/>
<variable name="Cai" public_interface="in" units="mM"/>
<variable name="norm" units="dimensionless"/>
<variable initial_value="R00_init" name="R_00" public_interface="out" units="dimensionless"/>
<variable initial_value="R10_init" name="R_10" public_interface="out" units="dimensionless"/>
<variable initial_value="R01_init" name="R_01" public_interface="out" units="dimensionless"/>
<variable initial_value="R11_init" name="R_11" public_interface="out" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>norm</ci>
<apply>
<plus/>
<ci>R_00</ci>
<ci>R_10</ci>
<ci>R_01</ci>
<ci>R_11</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>R_00</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>K_r1</ci>
<apply>
<power/>
<ci>Cai</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>K_r2</ci>
<ci>Cai</ci>
</apply>
</apply>
</apply>
<ci>R_00</ci>
</apply>
<ci>norm</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>R_10</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_r1</ci>
<apply>
<power/>
<ci>Cai</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>R_00</ci>
</apply>
<ci>norm</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<ci>K_r1minus</ci>
<apply>
<times/>
<ci>K_r2</ci>
<ci>Cai</ci>
</apply>
</apply>
<ci>R_10</ci>
</apply>
<ci>norm</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_r2minus</ci>
<ci>R_11</ci>
</apply>
<ci>norm</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>R_01</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_r2</ci>
<ci>Cai</ci>
<ci>R_00</ci>
</apply>
<ci>norm</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_r1minus</ci>
<ci>R_11</ci>
</apply>
<ci>norm</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<ci>K_r2minus</ci>
<apply>
<times/>
<ci>K_r1</ci>
<apply>
<power/>
<ci>Cai</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<ci>R_01</ci>
</apply>
<ci>norm</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>R_11</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_r2</ci>
<ci>Cai</ci>
<ci>R_10</ci>
</apply>
<ci>norm</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<ci>K_r1minus</ci>
<ci>K_r2minus</ci>
</apply>
<ci>R_11</ci>
</apply>
<ci>norm</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_r1</ci>
<apply>
<power/>
<ci>Cai</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>R_01</ci>
</apply>
<ci>norm</ci>
</apply>
</apply>
</apply>
</math>
</component>
</model>