- Author:
- Andrew Miller <ak.miller@auckland.ac.nz>
- Date:
- 2010-10-27 16:28:10+13:00
- Desc:
- Changes towards getting the model to integrate correctly with IDA
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/shi_hose_2009/rawfile/b1e0acf3209eafcfadebe6cda5206e504fbd28fb/TempCDv.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="TempCDv" name="TempCDv">
<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="TempCDv">
<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 initial_value="V0" name="V" units="UnitV"/>
<variable name="Pini" public_interface="in" units="UnitP"/>
<variable name="Vini" public_interface="in" units="UnitV"/>
<variable name="Tao" units="dimensionless"/>
<variable initial_value="0" name="W" public_interface="out" units="UnitW"/>
<variable initial_value="0" name="Ag" 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"/>
<variable name="V0" public_interface="in" units="UnitV"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="Ventricle: 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>
<apply id="Ventricle: 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="Ventricle: Qo">
<eq/>
<ci>Qo</ci>
<apply>
<times/>
<ci>CV</ci>
<ci>Tao</ci>
<apply>
<minus/>
<ci>Pi</ci>
<ci>Po</ci>
</apply>
<apply>
<power/>
<apply>
<abs/>
<apply>
<minus/>
<ci>Pi</ci>
<ci>Po</ci>
</apply>
</apply>
<cn>-0.5</cn>
</apply>
</apply>
</apply>
<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><piece><apply><eq id="Valve: W derivative"/><apply><diff/><bvar><ci>t</ci></bvar><ci>W</ci></apply><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><apply><and/><apply><geq/><ci>Ag</ci><cn>-0.00001</cn></apply><apply><lt/><ci>Ag</ci><ci>AgMax</ci></apply></apply></piece><otherwise id="Valve: W"><apply><eq id="Valve: W"/><ci>W</ci><cn>0</cn></apply></otherwise></piecewise>
</math>
</component>
</model>