- Author:
- Soroush Safaei <ssaf006@aucklanduni.ac.nz>
- Date:
- 2019-04-13 22:38:38+12:00
- Desc:
- fix the heart model conditions
- Permanent Source URI:
- http://models.cellml.org/workspace/4ac/rawfile/d364629a8aef513c2cd18c3175a1cc4baae4c6f1/viscoTest.cellml
<?xml version='1.0'?>
<model name="Vessel_BG_Units" 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="m3" units_ref="m3"/>
<units name="m3_per_s" units_ref="m3_per_s"/>
<units name="m3_per_s2" units_ref="m3_per_s2"/>
<units name="m6_per_J" units_ref="m6_per_J"/>
<units name="per_m" units_ref="per_m"/>
<units name="J_per_m3" units_ref="J_per_m3"/>
<units name="J_s_per_m6" units_ref="J_s_per_m6"/>
<units name="J_s2_per_m6" units_ref="J_s2_per_m6"/>
<units name="J_s2_per_m5" units_ref="J_s2_per_m5"/>
<units name="J_per_s" units_ref="J_per_s"/>
<units name="J_per_m6" units_ref="J_per_m6"/>
<units name="J_s_per_m3" units_ref="J_s_per_m3"/>
<units name="UnitValve" units_ref="UnitValve"/>
</import>
<component name="pp_type">
<variable name="t" units="second"/>
<!-- Constitutive Parameters-->
<variable initial_value="0.004" name="mu" units="J_s_per_m3"/>
<variable initial_value="1050" name="rho" units="J_s_per_m3"/>
<variable initial_value="1.6e+6" name="E" units="J_per_m3"/>
<variable initial_value="0.182233e-2" name="l" units="metre"/>
<variable initial_value="0.00031" name="h" units="metre"/>
<variable initial_value="0.104132e-2" name="r" units="metre"/>
<variable name="I" units="J_s2_per_m6"/>
<variable name="C" units="m6_per_J"/>
<variable name="R" units="J_s_per_m6"/>
<variable name="R_visco" units="J_s_per_m6"/>
<!-- State Variables-->
<variable initial_value="0.0" name="q_distal" units="m3"/>
<variable initial_value="0.0" name="q_proximal" units="m3"/>
<variable initial_value="0.0" name="v_proximal" units="m3_per_s"/>
<variable initial_value="0.0" name="v_distal" units="m3_per_s"/>
<variable name="v_visco" units="m3_per_s"/>
<variable name="u_in" units="J_per_m3"/>
<variable initial_value="1000" name="u_out" units="J_per_m3"/>
<variable name="u_visco" units="J_per_m3"/>
<variable name="u_C_visco" units="J_per_m3"/>
<variable name="u_R_visco" units="J_per_m3"/>
<!-- Boundary Conditions-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>u_in</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">13000</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">2000</cn>
<apply>
<sin/>
<apply>
<times/>
<cn cellml:units="dimensionless">5</cn>
<ci>t</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<!-- Parameters-->
<apply>
<eq/>
<ci>I</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>rho</ci>
<ci>l</ci>
</apply>
<apply>
<times/>
<pi/>
<apply>
<power/>
<ci>r</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>C</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<pi/>
<apply>
<power/>
<ci>r</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>l</ci>
</apply>
<apply>
<times/>
<ci>E</ci>
<ci>h</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>R</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">8</cn>
<ci>mu</ci>
<ci>l</ci>
</apply>
<apply>
<times/>
<pi/>
<apply>
<power/>
<ci>r</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>R_visco</ci>
<apply>
<divide/>
<cn cellml:units="second" type="e-notation">0.01<sep/>6</cn>
<ci>C</ci>
</apply>
</apply>
<!-- Conservation Laws
0.00757711893685179
0.00757653133993883-->
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_distal</ci>
</apply>
<ci>v_distal</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_proximal</ci>
</apply>
<ci>v_proximal</ci>
</apply>
<apply>
<eq/>
<ci>v_visco</ci>
<apply>
<minus/>
<ci>v_proximal</ci>
<ci>v_distal</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_visco</ci>
<apply>
<plus/>
<ci>u_C_visco</ci>
<ci>u_R_visco</ci>
</apply>
</apply>
<!-- Constitutive Relations-->
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>v_proximal</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>u_in</ci>
<ci>u_visco</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci>R</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>v_proximal</ci>
</apply>
</apply>
<apply>
<divide/>
<ci>I</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>v_distal</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>u_visco</ci>
<ci>u_out</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci>R</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>v_distal</ci>
</apply>
</apply>
<apply>
<divide/>
<ci>I</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_R_visco</ci>
<apply>
<times/>
<ci>R_visco</ci>
<ci>v_visco</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_C_visco</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>q_proximal</ci>
<ci>q_distal</ci>
</apply>
<ci>C</ci>
</apply>
</apply>
</math>
</component>
</model>
