Location: Bond Graph CellML 2.0 models @ 933ad22797b6 / test_3.cellml

Author:
Niloofar Shahidi <52058595+Niloofar-Sh@users.noreply.github.com>
Date:
2023-06-23 21:36:51+12:00
Desc:
initial upload
Permanent Source URI:
https://models.cellml.org/workspace/afe/rawfile/933ad22797b634b70181db55e8c40132100c308a/test_3.cellml

<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/2.0#" name="test_3" id="b4da55">
  <units name="millisecond" id="b4da56">
    <unit prefix="milli" units="second" id="b4da5c"/>
  </units>
  <units name="concentration_unit" id="b4da57">
    <unit prefix="micro" units="mole" id="b4da5d"/>
    <unit exponent="-1" prefix="nano" units="litre" id="b4da5e"/>
  </units>
  <units name="flow_rate_unit" id="b4da58">
    <unit units="concentration_unit" id="b4da5f"/>
    <unit exponent="-1" prefix="milli" units="second" id="b4da60"/>
  </units>
  <units name="mV" id="b4da59">
    <unit prefix="milli" units="volt" id="b4da61"/>
  </units>
  <units name="C_per_mol" id="b4da5a">
    <unit units="coulomb" id="b4da62"/>
    <unit exponent="-1" prefix="1" units="mole" id="b4da63"/>
  </units>
  <units name="J_per_K_per_mol" id="b4da5b">
    <unit units="joule" id="b4da64"/>
    <unit exponent="-1" prefix="1" units="kelvin" id="b4da65"/>
    <unit exponent="-1" prefix="1" units="mole" id="b4da66"/>
  </units>
  <component name="main" id="b4da67">
    <variable name="t" units="millisecond" interface="public" id="b4da68"/>
    <variable name="T" units="kelvin" initial_value="310" interface="public" id="b4da69"/>
    <variable name="F" units="C_per_mol" initial_value="96485" interface="public" id="b4da6a"/>
    <variable name="R" units="J_per_K_per_mol" initial_value="8.31" interface="public" id="b4da6b"/>
    <variable name="n_Ai" units="dimensionless" initial_value="1" interface="public" id="b4da6c"/>
    <variable name="n_Ao" units="dimensionless" initial_value="1" interface="public" id="b4da6d"/>
    <variable name="n_Bi" units="dimensionless" initial_value="2" interface="public" id="b4da6e"/>
    <variable name="n_Bo" units="dimensionless" initial_value="2" interface="public" id="b4da6f"/>
    <variable name="V_SS" units="flow_rate_unit" interface="public" id="b4da70"/>
    <variable name="q_Ao" units="concentration_unit" initial_value="5" interface="public" id="b4da71"/>
    <variable name="q_Ai" units="concentration_unit" initial_value="3" interface="public" id="b4da72"/>
    <variable name="q_Bo" units="concentration_unit" initial_value="7.5" interface="public" id="b4da73"/>
    <variable name="q_Bi" units="concentration_unit" initial_value="2.45" interface="public" id="b4da74"/>
    <variable name="V_m" units="mV" initial_value="-0.01" interface="public" id="b4da75"/>
    <variable name="p1" units="dimensionless" initial_value="32.6352832077092" interface="public" id="b4da76"/>
    <variable name="p10" units="dimensionless" initial_value="0.721265349721284" interface="public" id="b4da77"/>
    <variable name="p11" units="dimensionless" initial_value="0.67907647243837" interface="public" id="b4da78"/>
    <variable name="p12" units="dimensionless" initial_value="0.710276883191557" interface="public" id="b4da79"/>
    <variable name="p13" units="dimensionless" initial_value="0.215338117269652" interface="public" id="b4da7a"/>
    <variable name="p14" units="dimensionless" initial_value="0.258585197704832" interface="public" id="b4da7b"/>
    <variable name="p15" units="dimensionless" initial_value="0.310217412775034" interface="public" id="b4da7c"/>
    <variable name="p16" units="dimensionless" initial_value="0.241798691458456" interface="public" id="b4da7d"/>
    <variable name="p17" units="dimensionless" initial_value="0.201912388234587" interface="public" id="b4da7e"/>
    <variable name="p18" units="dimensionless" initial_value="0.337795796623851" interface="public" id="b4da7f"/>
    <variable name="p19" units="dimensionless" initial_value="0.563994948279105" interface="public" id="b4da80"/>
    <variable name="p2" units="dimensionless" initial_value="0.0183932935943027" interface="public" id="b4da81"/>
    <variable name="p20" units="dimensionless" initial_value="0.151199148621576" interface="public" id="b4da82"/>
    <variable name="p21" units="dimensionless" initial_value="0.137601412394883" interface="public" id="b4da83"/>
    <variable name="p3" units="dimensionless" initial_value="0.363909951342822" interface="public" id="b4da84"/>
    <variable name="p4" units="dimensionless" initial_value="0.42403124185296" interface="public" id="b4da85"/>
    <variable name="p5" units="dimensionless" initial_value="0.483026381999359" interface="public" id="b4da86"/>
    <variable name="p6" units="dimensionless" initial_value="0.474495808874336" interface="public" id="b4da87"/>
    <variable name="p7" units="dimensionless" initial_value="0.5298902975619" interface="public" id="b4da88"/>
    <variable name="p8" units="dimensionless" initial_value="0.579178159618238" interface="public" id="b4da89"/>
    <variable name="p9" units="dimensionless" initial_value="0.51036580228472" interface="public" id="b4da8a"/>
    <variable name="X" units="dimensionless" initial_value="0" interface="public" id="b4da8b"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cellml="http://www.cellml.org/cellml/2.0#">
      <apply>
        <eq/>
        <ci>V_SS</ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <apply>
              <power/>
              <ci>q_Bo</ci>
              <ci>n_Bo</ci>
            </apply>
            <apply>
              <power/>
              <ci>q_Bi</ci>
              <ci>n_Bi</ci>
            </apply>
            <apply>
              <minus/>
              <apply>
                <times/>
                <ci>p1</ci>
                <apply>
                  <power/>
                  <ci>q_Ao</ci>
                  <ci>n_Ao</ci>
                </apply>
                <apply>
                  <exp/>
                  <apply>
                    <divide/>
                    <apply>
                      <times/>
                      <ci>n_Bo</ci>
                      <ci>F</ci>
                      <ci>V_m</ci>
                    </apply>
                    <apply>
                      <times/>
                      <ci>R</ci>
                      <ci>T</ci>
                    </apply>
                  </apply>
                </apply>
              </apply>
              <apply>
                <times/>
                <ci>p2</ci>
                <apply>
                  <power/>
                  <ci>q_Ai</ci>
                  <ci>n_Ai</ci>
                </apply>
              </apply>
            </apply>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci>p3</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p4</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>F</ci>
                    <ci>V_m</ci>
                  </apply>
                  <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p5</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>n_Bo</ci>
                    <ci>F</ci>
                    <ci>V_m</ci>
                  </apply>
                  <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p6</ci>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ai</ci>
                <ci>n_Ai</ci>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p7</ci>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ai</ci>
                <ci>n_Ai</ci>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>F</ci>
                    <ci>V_m</ci>
                  </apply>
                  <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p8</ci>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ai</ci>
                <ci>n_Ai</ci>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>n_Bo</ci>
                    <ci>F</ci>
                    <ci>V_m</ci>
                  </apply>
                  <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p9</ci>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ao</ci>
                <ci>n_Ao</ci>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>n_Bo</ci>
                    <ci>F</ci>
                    <ci>V_m</ci>
                  </apply>
                  <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p10</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ai</ci>
                <ci>n_Ai</ci>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p11</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ao</ci>
                <ci>n_Ao</ci>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p12</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ao</ci>
                <ci>n_Ao</ci>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>F</ci>
                    <ci>V_m</ci>
                  </apply>
                  <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p13</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <ci>q_Ai</ci>
            </apply>
            <apply>
              <times/>
              <ci>p14</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ai</ci>
                <ci>n_Ai</ci>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>F</ci>
                    <ci>V_m</ci>
                  </apply>
                  <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p15</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ai</ci>
                <ci>n_Ai</ci>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>n_Bo</ci>
                    <ci>F</ci>
                    <ci>V_m</ci>
                  </apply>
                  <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p16</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ao</ci>
                <ci>n_Ao</ci>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>n_Bo</ci>
                    <ci>F</ci>
                    <ci>V_m</ci>
                  </apply>
                  <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p17</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ao</ci>
                <ci>n_Ao</ci>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>F</ci>
                    <ci>V_m</ci>
                  </apply>
                  <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p18</ci>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ai</ci>
                <ci>n_Ai</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ao</ci>
                <ci>n_Ao</ci>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>n_Bo</ci>
                    <ci>F</ci>
                    <ci>V_m</ci>
                  </apply>
                  <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p19</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ai</ci>
                <ci>n_Ai</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ao</ci>
                <ci>n_Ao</ci>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p20</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ai</ci>
                <ci>n_Ai</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ao</ci>
                <ci>n_Ao</ci>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>n_Bo</ci>
                    <ci>F</ci>
                    <ci>V_m</ci>
                  </apply>
                  <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>p21</ci>
              <apply>
                <power/>
                <ci>q_Bi</ci>
                <ci>n_Bi</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Bo</ci>
                <ci>n_Bo</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ai</ci>
                <ci>n_Ai</ci>
              </apply>
              <apply>
                <power/>
                <ci>q_Ao</ci>
                <ci>n_Ao</ci>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <times/>
                    <ci>F</ci>
                    <ci>V_m</ci>
                  </apply>
                  <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>t</ci>
          </bvar>
          <ci>X</ci>
        </apply>
        <cn cellml:units="dimensionless">0</cn>
      </apply>
    </math>
  </component>
</model>