- Author:
- David Nickerson <nickerso@users.sourceforge.net>
- Date:
- 2015-11-09 16:15:20+13:00
- Desc:
- update documentation with a brief note regarding the changes
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/guccione_mcculloch_waldman_1991/rawfile/40bdf00de4399c1a9c80f0ee96844781967d499c/guccione_mcculloch_waldman_1991.cellml
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<!-- Calculation of altered constants -->
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<!-- Calculation of Absolute values -->
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<apply>
<times/>
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<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="eabs22_calculation_eq">
<apply id="eabs22_calculation">
<eq/>
<ci>eabs22</ci>
<apply>
<times/>
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<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="eabs33_calculation_eq">
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<eq/>
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<apply>
<times/>
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<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="eabs12_calculation_eq">
<apply id="eabs12_calculation">
<eq/>
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<apply>
<times/>
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<times/>
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<!-- Calculation of aMAbs values -->
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<apply>
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<apply>
<minus/>
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<ci>eabs22</ci>
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<apply>
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<ci>bff</ci>
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<ci>kff</ci>
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<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
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<apply>
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<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bfs</ci>
<apply>
<power/>
<ci>elim12</ci>
<cn cellml:units="dimensionless">2.0</cn>
</apply>
<ci>mbfsM1</ci>
<apply>
<power/>
<ci>etol12</ci>
<cn cellml:units="dimensionless">-2.0</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="q12_calculation_eq">
<apply id="q12_calculation">
<eq/>
<ci>q12</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<ci>etol12</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bfs</ci>
</apply>
</apply>
<ci>kfs</ci>
<ci>elim12</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2.0</cn>
<apply>
<times/>
<ci>elim12</ci>
<ci>bfs</ci>
<ci>signE12</ci>
<apply>
<power/>
<ci>etol12</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>p12</ci>
<ci>elim12</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="p13_calculation_eq">
<apply id="p13_calculation">
<eq/>
<ci>p13</ci>
<apply>
<times/>
<apply>
<power/>
<ci>etol13</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bfn</ci>
</apply>
</apply>
<ci>kfn</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>bfn</ci>
<ci>elim13</ci>
<ci>signE13</ci>
<apply>
<power/>
<ci>etol13</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bfn</ci>
<apply>
<power/>
<ci>elim13</ci>
<cn cellml:units="dimensionless">2.0</cn>
</apply>
<ci>mbfnM1</ci>
<apply>
<power/>
<ci>etol13</ci>
<cn cellml:units="dimensionless">-2.0</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="q13_calculation_eq">
<apply id="q13_calculation">
<eq/>
<ci>q13</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<ci>etol13</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bfn</ci>
</apply>
</apply>
<ci>kfn</ci>
<ci>elim13</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2.0</cn>
<apply>
<times/>
<ci>elim13</ci>
<ci>bfn</ci>
<ci>signE13</ci>
<apply>
<power/>
<ci>etol13</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>p13</ci>
<ci>elim13</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="p22_calculation_eq">
<apply id="p22_calculation">
<eq/>
<ci>p22</ci>
<apply>
<times/>
<apply>
<power/>
<ci>etol22</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bss</ci>
</apply>
</apply>
<ci>kss</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>bss</ci>
<ci>elim22</ci>
<ci>signE22</ci>
<apply>
<power/>
<ci>etol22</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bss</ci>
<apply>
<power/>
<ci>elim22</ci>
<cn cellml:units="dimensionless">2.0</cn>
</apply>
<ci>mbssM1</ci>
<apply>
<power/>
<ci>etol22</ci>
<cn cellml:units="dimensionless">-2.0</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="q22_calculation_eq">
<apply id="q22_calculation">
<eq/>
<ci>q22</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<ci>etol22</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bss</ci>
</apply>
</apply>
<ci>kss</ci>
<ci>elim22</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2.0</cn>
<apply>
<times/>
<ci>elim22</ci>
<ci>bss</ci>
<ci>signE22</ci>
<apply>
<power/>
<ci>etol22</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>p22</ci>
<ci>elim22</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="p23_calculation_eq">
<apply id="p23_calculation">
<eq/>
<ci>p23</ci>
<apply>
<times/>
<apply>
<power/>
<ci>etol23</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bns</ci>
</apply>
</apply>
<ci>kns</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>bns</ci>
<ci>elim23</ci>
<ci>signE23</ci>
<apply>
<power/>
<ci>etol23</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bns</ci>
<apply>
<power/>
<ci>elim23</ci>
<cn cellml:units="dimensionless">2.0</cn>
</apply>
<ci>mbnsM1</ci>
<apply>
<power/>
<ci>etol23</ci>
<cn cellml:units="dimensionless">-2.0</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="q23_calculation_eq">
<apply id="q23_calculation">
<eq/>
<ci>q23</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<ci>etol23</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bns</ci>
</apply>
</apply>
<ci>kns</ci>
<ci>elim23</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2.0</cn>
<apply>
<times/>
<ci>elim23</ci>
<ci>bns</ci>
<ci>signE23</ci>
<apply>
<power/>
<ci>etol23</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>p23</ci>
<ci>elim23</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="p33_calculation_eq">
<apply id="p33_calculation">
<eq/>
<ci>p33</ci>
<apply>
<times/>
<apply>
<power/>
<ci>etol33</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bnn</ci>
</apply>
</apply>
<ci>knn</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>bnn</ci>
<ci>elim33</ci>
<ci>signE33</ci>
<apply>
<power/>
<ci>etol33</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bnn</ci>
<apply>
<power/>
<ci>elim33</ci>
<cn cellml:units="dimensionless">2.0</cn>
</apply>
<ci>mbnnM1</ci>
<apply>
<power/>
<ci>etol33</ci>
<cn cellml:units="dimensionless">-2.0</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="q33_calculation_eq">
<apply id="q33_calculation">
<eq/>
<ci>q33</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<ci>etol33</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bnn</ci>
</apply>
</apply>
<ci>knn</ci>
<ci>elim33</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2.0</cn>
<apply>
<times/>
<ci>elim33</ci>
<ci>bnn</ci>
<ci>signE33</ci>
<apply>
<power/>
<ci>etol33</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>p33</ci>
<ci>elim33</ci>
</apply>
</apply>
</apply>
</math>
<!-- Calculation of Stress -->
<!-- 11 direction -->
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev11_calculation_eq">
<apply id="Tdev11_calculation">
<eq/>
<ci>Tdev11</ci>
<piecewise>
<piece>
<apply>
<times/>
<apply>
<power/>
<ci>aMeabs11</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bff</ci>
</apply>
</apply>
<ci>kff</ci>
<ci>E11</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2.0</cn>
<apply>
<times/>
<ci>E11</ci>
<ci>bff</ci>
<ci>signE11</ci>
<apply>
<power/>
<ci>aMeabs11</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<leq/>
<ci>eabs11</ci>
<ci>elim11</ci>
</apply>
</piece>
<otherwise>
<apply>
<plus/>
<apply>
<times/>
<ci>p11</ci>
<ci>E11</ci>
</apply>
<ci>q11</ci>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
<!-- 22 direction -->
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev22_calculation_eq">
<apply id="Tdev22_calculation">
<eq/>
<ci>Tdev22</ci>
<piecewise>
<piece>
<apply>
<times/>
<apply>
<power/>
<ci>aMeabs22</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bss</ci>
</apply>
</apply>
<ci>kss</ci>
<ci>E22</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2.0</cn>
<apply>
<times/>
<ci>E22</ci>
<ci>bss</ci>
<ci>signE22</ci>
<apply>
<power/>
<ci>aMeabs22</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<leq/>
<ci>eabs22</ci>
<ci>elim22</ci>
</apply>
</piece>
<otherwise>
<apply>
<plus/>
<apply>
<times/>
<ci>p22</ci>
<ci>E22</ci>
</apply>
<ci>q22</ci>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
<!-- 33 direction -->
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev33_calculation_eq">
<apply id="Tdev33_calculation">
<eq/>
<ci>Tdev33</ci>
<piecewise>
<piece>
<apply>
<times/>
<apply>
<power/>
<ci>aMeabs33</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bnn</ci>
</apply>
</apply>
<ci>knn</ci>
<ci>E33</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2.0</cn>
<apply>
<times/>
<ci>E33</ci>
<ci>bnn</ci>
<ci>signE33</ci>
<apply>
<power/>
<ci>aMeabs33</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<leq/>
<ci>eabs33</ci>
<ci>elim33</ci>
</apply>
</piece>
<otherwise>
<apply>
<plus/>
<apply>
<times/>
<ci>p33</ci>
<ci>E33</ci>
</apply>
<ci>q33</ci>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
<!-- 12 direction -->
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev12_calculation_eq">
<apply id="Tdev12_calculation">
<eq/>
<ci>Tdev12</ci>
<piecewise>
<piece>
<apply>
<times/>
<apply>
<power/>
<ci>aMeabs12</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bfs</ci>
</apply>
</apply>
<ci>kfs</ci>
<ci>E12</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2.0</cn>
<apply>
<times/>
<ci>E12</ci>
<ci>bfs</ci>
<ci>signE12</ci>
<apply>
<power/>
<ci>aMeabs12</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<leq/>
<ci>eabs12</ci>
<ci>elim12</ci>
</apply>
</piece>
<otherwise>
<apply>
<plus/>
<apply>
<times/>
<ci>p12</ci>
<ci>E12</ci>
</apply>
<ci>q12</ci>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
<!-- 13 direction -->
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev13_calculation_eq">
<apply id="Tdev13_calculation">
<eq/>
<ci>Tdev13</ci>
<piecewise>
<piece>
<apply>
<times/>
<apply>
<power/>
<ci>aMeabs13</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bfn</ci>
</apply>
</apply>
<ci>kfn</ci>
<ci>E13</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2.0</cn>
<apply>
<times/>
<ci>E13</ci>
<ci>bfn</ci>
<ci>signE13</ci>
<apply>
<power/>
<ci>aMeabs13</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<leq/>
<ci>eabs13</ci>
<ci>elim13</ci>
</apply>
</piece>
<otherwise>
<apply>
<plus/>
<apply>
<times/>
<ci>p13</ci>
<ci>E13</ci>
</apply>
<ci>q13</ci>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
<!-- 23 direction -->
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev23_calculation_eq">
<apply id="Tdev23_calculation">
<eq/>
<ci>Tdev23</ci>
<piecewise>
<piece>
<apply>
<times/>
<apply>
<power/>
<ci>aMeabs23</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">-1.0</cn>
<ci>bns</ci>
</apply>
</apply>
<ci>kns</ci>
<ci>E23</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">2.0</cn>
<apply>
<times/>
<ci>E23</ci>
<ci>bns</ci>
<ci>signE23</ci>
<apply>
<power/>
<ci>aMeabs23</ci>
<cn cellml:units="dimensionless">-1.0</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<leq/>
<ci>eabs23</ci>
<ci>elim23</ci>
</apply>
</piece>
<otherwise>
<apply>
<plus/>
<apply>
<times/>
<ci>p23</ci>
<ci>E23</ci>
</apply>
<ci>q23</ci>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
<!-- END END END END END END END END END END END END END END END -->
</component>
<!--membrane-->
<connection>
<map_components component_2="equations" component_1="interface"/>
<map_variables variable_2="E11" variable_1="E11"/>
<map_variables variable_2="E22" variable_1="E22"/>
<map_variables variable_2="E33" variable_1="E33"/>
<map_variables variable_2="E12" variable_1="E12"/>
<map_variables variable_2="E13" variable_1="E13"/>
<map_variables variable_2="E23" variable_1="E23"/>
<map_variables variable_2="Tdev11" variable_1="Tdev11"/>
<map_variables variable_2="Tdev22" variable_1="Tdev22"/>
<map_variables variable_2="Tdev33" variable_1="Tdev33"/>
<map_variables variable_2="Tdev12" variable_1="Tdev12"/>
<map_variables variable_2="Tdev13" variable_1="Tdev13"/>
<map_variables variable_2="Tdev23" variable_1="Tdev23"/>
<map_variables variable_2="aff" variable_1="aff"/>
<map_variables variable_2="afn" variable_1="afn"/>
<map_variables variable_2="afs" variable_1="afs"/>
<map_variables variable_2="ann" variable_1="ann"/>
<map_variables variable_2="ans" variable_1="ans"/>
<map_variables variable_2="ass" variable_1="ass"/>
<map_variables variable_2="bff" variable_1="bff"/>
<map_variables variable_2="bfn" variable_1="bfn"/>
<map_variables variable_2="bfs" variable_1="bfs"/>
<map_variables variable_2="bnn" variable_1="bnn"/>
<map_variables variable_2="bns" variable_1="bns"/>
<map_variables variable_2="bss" variable_1="bss"/>
<map_variables variable_2="kff" variable_1="kff"/>
<map_variables variable_2="kfn" variable_1="kfn"/>
<map_variables variable_2="kfs" variable_1="kfs"/>
<map_variables variable_2="knn" variable_1="knn"/>
<map_variables variable_2="kns" variable_1="kns"/>
<map_variables variable_2="kss" variable_1="kss"/>
</connection>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="interface">
<component_ref component="equations"/>
</component_ref>
</group>
</model>
