Location: Model of excitation-contraction in uterine myocytes from a pregnant rat @ 0cf50db3389d / Components / forceProduction.cellml
- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2021-09-21 17:34:46+12:00
- Desc:
- Make corrections
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/701/rawfile/0cf50db3389dffbd0a5b6294a4a2da66ec917002/Components/forceProduction.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!-- 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="forceProduction" 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="../cellLib/Components/units.cellml">
<units name="um" units_ref="um"/>
<units name="ms" units_ref="ms"/>
<units name="uN_per_um" units_ref="uN_per_um"/>
<units name="uN" units_ref="uN"/>
<units name="um_per_ms" units_ref="um_per_ms"/>
<units name="uN_ms_per_um" units_ref="uN_ms_per_um"/>
</import>
<component name="forceProduction">
<variable name="time" public_interface="in" units="ms"/>
<variable name="AMp" public_interface="in" units="dimensionless"/>
<variable name="AM" public_interface="in" units="dimensionless"/>
<variable name="l_c" public_interface="in" units="um"/>
<variable name="l_c0" public_interface="in" units="um"/>
<variable name="l_s0" public_interface="in" units="um"/>
<variable name="l_opt" public_interface="in" units="um"/>
<variable name="k_x1" public_interface="in" units="uN_per_um"/>
<variable name="k_x2" public_interface="in" units="uN_per_um"/>
<variable name="k_s" public_interface="in" units="uN"/>
<variable name="k_p" public_interface="in" units="uN"/>
<variable name="v_x" public_interface="in" units="um_per_ms"/>
<variable name="f_AMp" public_interface="in" units="uN_ms_per_um"/>
<variable name="f_AM" public_interface="in" units="uN_ms_per_um"/>
<variable name="mu_s" public_interface="in" units="uN_ms_per_um"/>
<variable name="alpha_s" public_interface="in" units="dimensionless"/>
<variable name="alpha_p" public_interface="in" units="dimensionless"/>
<variable name="beta" public_interface="in" units="dimensionless"/>
<variable name="ls_init" public_interface="in" units="um"/>
<variable name="la_init" public_interface="in" units="um"/>
<variable name="l_x" units="um"/>
<variable initial_value="ls_init" name="l_s" public_interface="out" units="um"/>
<variable initial_value="la_init" name="l_a" public_interface="out" units="um"/>
<variable name="F_p" public_interface="out" units="uN"/>
<variable name="F_a" public_interface="out" units="uN"/>
<variable name="F_s" public_interface="out" units="uN"/>
<variable name="F_x" public_interface="out" units="uN"/>
<variable name="F_t" public_interface="out" units="uN"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>l_s</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>mu_s</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<ci>F_s</ci>
<apply>
<times/>
<ci>k_s</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_s</ci>
<apply>
<minus/>
<ci>l_s</ci>
<ci>l_s0</ci>
</apply>
</apply>
<ci>l_s0</ci>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="uN">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>l_a</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>F_a</ci>
<apply>
<exp/>
<apply>
<times/>
<ci>beta</ci>
<apply>
<power/>
<apply>
<divide/>
<apply>
<minus/>
<ci>l_a</ci>
<ci>l_opt</ci>
</apply>
<ci>l_opt</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>f_AMp</ci>
<ci>AMp</ci>
<ci>v_x</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>f_AM</ci>
<ci>AM</ci>
</apply>
<apply>
<times/>
<ci>f_AMp</ci>
<ci>AMp</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>l_x</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>l_c</ci>
<ci>l_a</ci>
</apply>
<ci>l_s</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>F_p</ci>
<apply>
<times/>
<ci>k_p</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_p</ci>
<apply>
<minus/>
<ci>l_c</ci>
<ci>l_c0</ci>
</apply>
</apply>
<ci>l_c0</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>F_x</ci>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci>k_x1</ci>
<ci>AMp</ci>
</apply>
<apply>
<times/>
<ci>k_x2</ci>
<ci>AM</ci>
</apply>
</apply>
<ci>l_x</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>beta</ci>
</apply>
<apply>
<power/>
<apply>
<divide/>
<apply>
<minus/>
<ci>l_a</ci>
<ci>l_opt</ci>
</apply>
<ci>l_opt</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>F_a</ci>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci>f_AMp</ci>
<ci>AMp</ci>
<apply>
<plus/>
<ci>v_x</ci>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>l_a</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>f_AM</ci>
<ci>AM</ci>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>l_a</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>beta</ci>
</apply>
<apply>
<power/>
<apply>
<divide/>
<apply>
<minus/>
<ci>l_a</ci>
<ci>l_opt</ci>
</apply>
<ci>l_opt</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>F_s</ci>
<ci>F_a</ci>
</apply>
<apply>
<eq/>
<ci>F_t</ci>
<apply>
<plus/>
<ci>F_a</ci>
<ci>F_p</ci>
</apply>
</apply>
</math>
</component>
</model>