Location: Shi, Hose, 2009 @ 639805121f9a / TempCDa.cellml
- Author:
- Yubing Shi <y.shi@shef.ac.uk>
- Date:
- 2010-10-20 17:43:50+13:00
- Desc:
- Updated those files that involve heart valve model. Not working yet, might be a problem with current tip revision of CellML API.
- Permanent Source URI:
- http://models.cellml.org/workspace/shi_hose_2009/rawfile/639805121f9af60ec8017af03ce373c76a907514/TempCDa.cellml
<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="TempCDa" name="TempCDa">
<import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Units.cellml">
<units name="UnitP" units_ref="UnitP"/>
<units name="UnitQ" units_ref="UnitQ"/>
<units name="UnitCV" units_ref="UnitCV"/>
<units name="UnitE" units_ref="UnitE"/>
<units name="UnitV" units_ref="UnitV"/>
<units name="UnitKp" units_ref="UnitKp"/>
<units name="UnitKf" units_ref="UnitKf"/>
<units name="UnitKb" units_ref="UnitKb"/>
<units name="UnitKv" units_ref="UnitKv"/>
<units name="UnitW" units_ref="UnitW"/>
</import>
<component name="TempCDa">
<variable name="Pi" public_interface="out" units="UnitP"/>
<variable name="Po" public_interface="in" units="UnitP"/>
<variable name="Qi" public_interface="in" units="UnitQ"/>
<variable name="Qo" public_interface="out" units="UnitQ"/>
<variable name="CV" public_interface="in" units="UnitCV"/>
<variable name="E" public_interface="in" units="UnitE"/>
<variable name="t" public_interface="in" units="second"/>
<variable name="V" initial_value="V0" units="UnitV"/>
<variable name="Pini" public_interface="in" units="UnitP"/>
<variable name="Vini" public_interface="in" units="UnitV"/>
<variable name="Tao" public_interface="out" units="dimensionless"/>
<variable name="V0" public_interface="in" units="UnitV"/>
<variable name="W" initial_value="0" public_interface="out" units="UnitW"/>
<variable name="Ag" initial_value="0" public_interface="out" units="radian"/>
<variable name="AgMax" public_interface="in" units="radian"/>
<variable name="Kp" public_interface="in" units="UnitKp"/>
<variable name="Kf" public_interface="in" units="UnitKf"/>
<variable name="Kb" public_interface="in" units="UnitKb"/>
<variable name="Kv" public_interface="in" units="UnitKv"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="ValveV: Tao">
<eq/>
<ci>Tao</ci>
<apply>
<divide/>
<apply>
<power/>
<apply>
<minus/>
<cn>1</cn>
<apply>
<cos/>
<ci>Ag</ci>
</apply>
</apply>
<cn>2</cn>
</apply>
<apply>
<power/>
<apply>
<minus/>
<cn>1</cn>
<apply>
<cos/>
<ci>AgMax</ci>
</apply>
</apply>
<cn>2</cn>
</apply>
</apply>
</apply>
<apply id="ValveV: Ag">
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Ag</ci>
</apply>
<ci>W</ci>
</apply>
<piecewise id="Valve: W piecewise">
<piece>
<apply id="Valve: W derivative">
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>W</ci>
</apply>
<piecewise>
<piece>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>Kp</ci>
<apply>
<minus/>
<ci>Pi</ci>
<ci>Po</ci>
</apply>
<apply>
<cos/>
<ci>Ag</ci>
</apply>
</apply>
<apply>
<times/>
<ci>Kf</ci>
<ci>W</ci>
</apply>
</apply>
<apply>
<times/>
<ci>Kb</ci>
<ci>Qo</ci>
<apply>
<cos/>
<ci>Ag</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Kv</ci>
<ci>Qo</ci>
<apply>
<sin/>
<apply>
<times/>
<cn>2</cn>
<ci>Ag</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<geq/>
<ci>Qo</ci>
<cn>0</cn>
</apply>
</piece>
<piece>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>Kp</ci>
<apply>
<minus/>
<ci>Pi</ci>
<ci>Po</ci>
</apply>
<apply>
<cos/>
<ci>Ag</ci>
</apply>
</apply>
<apply>
<times/>
<ci>Kf</ci>
<ci>W</ci>
</apply>
</apply>
<apply>
<times/>
<ci>Kb</ci>
<ci>Qo</ci>
<apply>
<cos/>
<ci>Ag</ci>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci>Qo</ci>
<cn>0</cn>
</apply>
</piece>
</piecewise>
</apply>
<apply>
<and/>
<apply>
<gt/>
<ci>Ag</ci>
<cn>0</cn>
</apply>
<apply>
<lt/>
<ci>Ag</ci>
<ci>AgMax</ci>
</apply>
</apply>
</piece>
<otherwise>
<apply id="Valve: W">
<eq/>
<ci>W</ci>
<cn>0</cn>
</apply>
</otherwise>
</piecewise>
<apply id="Atrium: Qo"><eq/><ci>Qo</ci><piecewise><piece><apply><times/><ci>CV</ci><ci>Tao</ci><apply><power/><apply><abs/><apply><minus/><ci>Pi</ci><ci>Po</ci></apply></apply><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.5</cn></apply></apply><apply><geq/><ci>Pi</ci><ci>Po</ci></apply></piece><piece><apply><times/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">-1</cn><ci>CV</ci><ci>Tao</ci><apply><power/><apply><abs/><apply><minus/><ci>Po</ci><ci>Pi</ci></apply></apply><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.5</cn></apply></apply><apply><lt/><ci>Pi</ci><ci>Po</ci></apply></piece></piecewise></apply>
<apply id="Atrium: V">
<eq/><apply><diff/><bvar><ci>t</ci></bvar><ci>V</ci></apply>
<apply><minus/><ci>Qi</ci><ci>Qo</ci></apply></apply>
<apply id="Atrium: Pi">
<eq/><ci>Pi</ci><apply><plus/><ci>Pini</ci><apply><times/><ci>E</ci><apply><minus/><ci>V</ci><ci>Vini</ci></apply></apply></apply></apply>
</math>
</component>
</model>