Location: Principled Model Base @ 3f04efaa4258 / Template_Bernoulli_dimensionless.cellml

Author:
Michael Cooling <mcoo001@UoA.auckland.ac.nz>
Date:
2016-04-11 11:42:23+12:00
Desc:
Initial Commit
Permanent Source URI:
https://models.cellml.org/workspace/2c3/rawfile/3f04efaa4258734f9fe9caada1095a4310ec580b/Template_Bernoulli_dimensionless.cellml

<?xml version="1.0" encoding="utf-8"?>

<model name="Template_Bernoulli_dimensionless" cmeta:id="Template_Bernoulli_dimensionless"
    xmlns="http://www.cellml.org/cellml/1.1#"
    xmlns:cellml="http://www.cellml.org/cellml/1.1#"
    xmlns:cmeta="http://www.cellml.org/metadata/1.0#"
    xmlns:xlink="http://www.w3.org/1999/xlink"
    >
    
    <import xmlns="http://www.cellml.org/cellml/1.1#" xlink:href="Units_Cellular_Systems.cellml">
		<units name="m2_per_N" units_ref="m2_per_N"/>
		<units name="N_per_m2" units_ref="N_per_m2"/>
    </import>
    
   <component name="Template_Bernoulli_dimensionless">
      <variable name="y_i" units="dimensionless" public_interface="in"/>
      <variable name="beta_y" units="m2_per_N" public_interface="in"/>
      <variable name="stress" units="N_per_m2" public_interface="in"/>
      <variable name="y_max" units="dimensionless" public_interface="in"/>
      <variable name="y" units="dimensionless" public_interface="out"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
 <apply>
            <eq/>
            <ci>y</ci>
            <apply>
               <root/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <apply>
                        <power/>
                        <ci>y_i</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <power/>
                        <exponentiale/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <ci>beta_y</ci>
                           </apply>
                           <ci>stress</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <power/>
                        <ci>y_max</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <abs/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <apply>
                              <power/>
                              <exponentiale/>
                              <apply>
                                 <times/>
                                 <apply>
                                    <minus/>
                                    <ci>beta_y</ci>
                                 </apply>
                                 <ci>stress</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
    </math>
      
   </component>
   
</model>