Location: semantic-annotation @ 9286a595a0eb / SEDML / weinstein_1995_2A.cellml

Author:
Dewan Sarwar <dsar941@UoA.auckland.ac.nz>
Date:
2020-03-03 16:04:04+13:00
Desc:
moving protocol 13's files into the SEDML directory
Permanent Source URI:
https://models.cellml.org/workspace/267/rawfile/9286a595a0eb88319f656462c58b038ab4ed3eab/SEDML/weinstein_1995_2A.cellml

<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:semsim="http://www.bhi.washington.edu/SemSim#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" name="weinstein_1995_2A" cmeta:id="weinstein_1995_2A">
  <units name="mM_per_s">
    <unit exponent="-1.0" units="second" />
    <unit units="mM" />
  </units>
  <units name="cm2">
    <unit exponent="2.0" prefix="centi" units="metre" />
  </units>
  <units name="nmol">
    <unit prefix="nano" units="mole" />
  </units>
  <units name="cm">
    <unit prefix="centi" units="metre" />
  </units>
  <units name="mM">
    <unit exponent="-1.0" units="litre" />
    <unit prefix="milli" units="mole" />
  </units>
  <units name="per_s">
    <unit exponent="-1.0" units="second" />
  </units>
  <units name="nmol_per_s_per_cm2">
    <unit units="nmol" />
    <unit exponent="-1.0" units="cm2" />
    <unit exponent="-1.0" units="second" />
  </units>
  <units name="umol">
    <unit prefix="micro" units="mole" />
  </units>
  <units name="mmol">
    <unit prefix="milli" units="mole" />
  </units>
  <units name="M">
    <unit exponent="-1.0" units="litre" />
    <unit units="mole" />
  </units>
  <units name="mmol_per_s_per_cm2">
    <unit exponent="-1.0" units="cm2" />
    <unit exponent="-1.0" units="second" />
    <unit units="mmol" />
  </units>
  <component name="environment">
    <variable cmeta:id="environment.time" name="time" public_interface="out" units="second" />
  </component>
  <component name="Concentrations">
    <variable cmeta:id="Concentrations.C_ext_Na" initial_value="0.1" name="C_ext_Na" public_interface="out" units="mM" />
    <variable cmeta:id="Concentrations.C_ext_H" name="C_ext_H" public_interface="out" units="mM" />
    <variable cmeta:id="Concentrations.C_ext_NH4" initial_value="0" name="C_ext_NH4" public_interface="out" units="mM" />
    <variable cmeta:id="Concentrations.C_int_Na" initial_value="0" name="C_int_Na" public_interface="out" units="mM" />
    <variable cmeta:id="Concentrations.C_int_H" initial_value="1e-3" name="C_int_H" public_interface="out" units="mM" />
    <variable cmeta:id="Concentrations.C_int_NH4" initial_value="0" name="C_int_NH4" public_interface="out" units="mM" />
    <variable cmeta:id="Concentrations.time" name="time" public_interface="in" units="second" />
    <variable cmeta:id="Concentrations.pH_ext" initial_value="6" name="pH_ext" units="dimensionless" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq />
        <apply>
          <diff />
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>pH_ext</ci>
        </apply>
        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_s">2</cn>
      </apply>
      <apply>
        <eq />
        <ci>C_ext_H</ci>
        <apply>
          <times />
          <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" type="e-notation" cellml:units="mM">
            1
            <sep />
            3
          </cn>
          <apply>
            <power />
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">10</cn>
            <apply>
              <minus />
              <ci>pH_ext</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <component name="NHE3_Parameters">
    <variable cmeta:id="NHE3_Parameters.XTxP0_NHE3_Na" initial_value="1.6e-3" name="XTxP0_NHE3_Na" public_interface="out" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3_Parameters.XTxP0_NHE3_H" initial_value="0.48e-3" name="XTxP0_NHE3_H" public_interface="out" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3_Parameters.XTxP0_NHE3_NH4" initial_value="1.6e-3" name="XTxP0_NHE3_NH4" public_interface="out" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3_Parameters.K_NHE3_Na" initial_value="30" name="K_NHE3_Na" public_interface="out" units="mM" />
    <variable cmeta:id="NHE3_Parameters.K_NHE3_H" initial_value="72e-6" name="K_NHE3_H" public_interface="out" units="mM" />
    <variable cmeta:id="NHE3_Parameters.K_NHE3_NH4" initial_value="0.027e3" name="K_NHE3_NH4" public_interface="out" units="mM" />
  </component>
  <component name="NHE3">
    <variable cmeta:id="NHE3.C_ext_Na" name="C_ext_Na" public_interface="in" units="mM" />
    <variable cmeta:id="NHE3.C_ext_H" name="C_ext_H" public_interface="in" units="mM" />
    <variable cmeta:id="NHE3.C_ext_NH4" name="C_ext_NH4" public_interface="in" units="mM" />
    <variable cmeta:id="NHE3.C_int_Na" name="C_int_Na" public_interface="in" units="mM" />
    <variable cmeta:id="NHE3.C_int_H" name="C_int_H" public_interface="in" units="mM" />
    <variable cmeta:id="NHE3.C_int_NH4" name="C_int_NH4" public_interface="in" units="mM" />
    <variable cmeta:id="NHE3.XTxP0_NHE3_Na" name="XTxP0_NHE3_Na" public_interface="in" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3.XTxP0_NHE3_H" name="XTxP0_NHE3_H" public_interface="in" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3.XTxP0_NHE3_NH4" name="XTxP0_NHE3_NH4" public_interface="in" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3.XTxP_NHE_Na" name="XTxP_NHE_Na" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3.XTxP_NHE_H" name="XTxP_NHE_H" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3.XTxP_NHE_NH4" name="XTxP_NHE_NH4" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3.K_NHE3_Na" name="K_NHE3_Na" public_interface="in" units="mM" />
    <variable cmeta:id="NHE3.K_NHE3_H" name="K_NHE3_H" public_interface="in" units="mM" />
    <variable cmeta:id="NHE3.K_NHE3_NH4" name="K_NHE3_NH4" public_interface="in" units="mM" />
    <variable cmeta:id="NHE3.alpha_ext_Na" name="alpha_ext_Na" units="dimensionless" />
    <variable cmeta:id="NHE3.beta_ext_H" name="beta_ext_H" units="dimensionless" />
    <variable cmeta:id="NHE3.gamma_ext_NH4" name="gamma_ext_NH4" units="dimensionless" />
    <variable cmeta:id="NHE3.alpha_int_Na" name="alpha_int_Na" units="dimensionless" />
    <variable cmeta:id="NHE3.beta_int_H" name="beta_int_H" units="dimensionless" />
    <variable cmeta:id="NHE3.gamma_int_NH4" name="gamma_int_NH4" units="dimensionless" />
    <variable cmeta:id="NHE3.sum_NHE3" name="sum_NHE3" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3.J_NHE3_Na" name="J_NHE3_Na" public_interface="out" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3.J_NHE3_H" name="J_NHE3_H" public_interface="out" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3.J_NHE3_NH4" name="J_NHE3_NH4" public_interface="out" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3.J_NHE3_Na_Max" name="J_NHE3_Na_Max" units="nmol_per_s_per_cm2" />
    <variable cmeta:id="NHE3.plot_b" name="plot_b" units="dimensionless" />
    <variable cmeta:id="NHE3.plot_a" name="plot_a" units="dimensionless" />
    <variable cmeta:id="NHE3.K_H" name="K_H" units="dimensionless" />
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq />
        <ci>alpha_ext_Na</ci>
        <apply>
          <divide />
          <ci>C_ext_Na</ci>
          <ci>K_NHE3_Na</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>beta_ext_H</ci>
        <apply>
          <divide />
          <ci>C_ext_H</ci>
          <ci>K_NHE3_H</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>gamma_ext_NH4</ci>
        <apply>
          <divide />
          <ci>C_ext_NH4</ci>
          <ci>K_NHE3_NH4</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>alpha_int_Na</ci>
        <apply>
          <divide />
          <ci>C_int_Na</ci>
          <ci>K_NHE3_Na</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>beta_int_H</ci>
        <apply>
          <divide />
          <ci>C_int_H</ci>
          <ci>K_NHE3_H</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>gamma_int_NH4</ci>
        <apply>
          <divide />
          <ci>C_int_NH4</ci>
          <ci>K_NHE3_NH4</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>XTxP_NHE_Na</ci>
        <apply>
          <divide />
          <apply>
            <times />
            <ci>XTxP0_NHE3_Na</ci>
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
            <ci>C_int_H</ci>
          </apply>
          <apply>
            <plus />
            <ci>C_int_H</ci>
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" type="e-notation" cellml:units="mM">
              1
              <sep />
              -6
            </cn>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>XTxP_NHE_H</ci>
        <apply>
          <divide />
          <apply>
            <times />
            <ci>XTxP0_NHE3_H</ci>
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
            <ci>C_int_H</ci>
          </apply>
          <apply>
            <plus />
            <ci>C_int_H</ci>
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" type="e-notation" cellml:units="mM">
              1
              <sep />
              -6
            </cn>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>XTxP_NHE_NH4</ci>
        <apply>
          <divide />
          <apply>
            <times />
            <ci>XTxP0_NHE3_NH4</ci>
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
            <ci>C_int_H</ci>
          </apply>
          <apply>
            <plus />
            <ci>C_int_H</ci>
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" type="e-notation" cellml:units="mM">
              1
              <sep />
              -6
            </cn>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>sum_NHE3</ci>
        <apply>
          <plus />
          <apply>
            <times />
            <apply>
              <plus />
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
              <ci>alpha_ext_Na</ci>
              <ci>beta_ext_H</ci>
              <ci>gamma_ext_NH4</ci>
            </apply>
            <apply>
              <plus />
              <apply>
                <times />
                <ci>XTxP_NHE_Na</ci>
                <ci>alpha_int_Na</ci>
              </apply>
              <apply>
                <times />
                <ci>XTxP_NHE_H</ci>
                <ci>beta_int_H</ci>
              </apply>
              <apply>
                <times />
                <ci>XTxP_NHE_NH4</ci>
                <ci>gamma_int_NH4</ci>
              </apply>
            </apply>
          </apply>
          <apply>
            <times />
            <apply>
              <plus />
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
              <ci>alpha_int_Na</ci>
              <ci>beta_int_H</ci>
              <ci>gamma_int_NH4</ci>
            </apply>
            <apply>
              <plus />
              <apply>
                <times />
                <ci>XTxP_NHE_Na</ci>
                <ci>alpha_ext_Na</ci>
              </apply>
              <apply>
                <times />
                <ci>XTxP_NHE_H</ci>
                <ci>beta_ext_H</ci>
              </apply>
              <apply>
                <times />
                <ci>XTxP_NHE_NH4</ci>
                <ci>gamma_ext_NH4</ci>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>J_NHE3_Na</ci>
        <apply>
          <plus />
          <apply>
            <times />
            <apply>
              <divide />
              <apply>
                <times />
                <ci>XTxP_NHE_Na</ci>
                <ci>XTxP_NHE_H</ci>
              </apply>
              <ci>sum_NHE3</ci>
            </apply>
            <apply>
              <minus />
              <apply>
                <times />
                <ci>alpha_ext_Na</ci>
                <ci>beta_int_H</ci>
              </apply>
              <apply>
                <times />
                <ci>alpha_int_Na</ci>
                <ci>beta_ext_H</ci>
              </apply>
            </apply>
          </apply>
          <apply>
            <times />
            <apply>
              <divide />
              <apply>
                <times />
                <ci>XTxP_NHE_Na</ci>
                <ci>XTxP_NHE_NH4</ci>
              </apply>
              <ci>sum_NHE3</ci>
            </apply>
            <apply>
              <minus />
              <apply>
                <times />
                <ci>alpha_ext_Na</ci>
                <ci>gamma_int_NH4</ci>
              </apply>
              <apply>
                <times />
                <ci>alpha_int_Na</ci>
                <ci>gamma_ext_NH4</ci>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>J_NHE3_H</ci>
        <apply>
          <plus />
          <apply>
            <times />
            <apply>
              <divide />
              <apply>
                <times />
                <ci>XTxP_NHE_Na</ci>
                <ci>XTxP_NHE_H</ci>
              </apply>
              <ci>sum_NHE3</ci>
            </apply>
            <apply>
              <minus />
              <apply>
                <times />
                <ci>alpha_int_Na</ci>
                <ci>beta_ext_H</ci>
              </apply>
              <apply>
                <times />
                <ci>alpha_ext_Na</ci>
                <ci>beta_int_H</ci>
              </apply>
            </apply>
          </apply>
          <apply>
            <times />
            <apply>
              <divide />
              <apply>
                <times />
                <ci>XTxP_NHE_H</ci>
                <ci>XTxP_NHE_NH4</ci>
              </apply>
              <ci>sum_NHE3</ci>
            </apply>
            <apply>
              <minus />
              <apply>
                <times />
                <ci>beta_ext_H</ci>
                <ci>gamma_int_NH4</ci>
              </apply>
              <apply>
                <times />
                <ci>beta_int_H</ci>
                <ci>gamma_ext_NH4</ci>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>J_NHE3_NH4</ci>
        <apply>
          <plus />
          <apply>
            <times />
            <apply>
              <divide />
              <apply>
                <times />
                <ci>XTxP_NHE_Na</ci>
                <ci>XTxP_NHE_NH4</ci>
              </apply>
              <ci>sum_NHE3</ci>
            </apply>
            <apply>
              <minus />
              <apply>
                <times />
                <ci>alpha_int_Na</ci>
                <ci>gamma_ext_NH4</ci>
              </apply>
              <apply>
                <times />
                <ci>alpha_ext_Na</ci>
                <ci>gamma_int_NH4</ci>
              </apply>
            </apply>
          </apply>
          <apply>
            <times />
            <apply>
              <divide />
              <apply>
                <times />
                <ci>XTxP_NHE_H</ci>
                <ci>XTxP_NHE_NH4</ci>
              </apply>
              <ci>sum_NHE3</ci>
            </apply>
            <apply>
              <minus />
              <apply>
                <times />
                <ci>gamma_ext_NH4</ci>
                <ci>beta_int_H</ci>
              </apply>
              <apply>
                <times />
                <ci>beta_ext_H</ci>
                <ci>gamma_int_NH4</ci>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>J_NHE3_Na_Max</ci>
        <apply>
          <divide />
          <apply>
            <times />
            <ci>XTxP_NHE_Na</ci>
            <ci>XTxP_NHE_H</ci>
          </apply>
          <apply>
            <plus />
            <ci>XTxP_NHE_Na</ci>
            <ci>XTxP_NHE_H</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>plot_a</ci>
        <apply>
          <divide />
          <ci>J_NHE3_Na</ci>
          <ci>J_NHE3_Na_Max</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>plot_b</ci>
        <apply>
          <divide />
          <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
          <ci>plot_a</ci>
        </apply>
      </apply>
      <apply>
        <eq />
        <ci>K_H</ci>
        <apply>
          <divide />
          <apply>
            <plus />
            <apply>
              <times />
              <apply>
                <plus />
                <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                <ci>alpha_ext_Na</ci>
              </apply>
              <ci>beta_int_H</ci>
            </apply>
            <apply>
              <divide />
              <apply>
                <times />
                <apply>
                  <plus />
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                  <ci>beta_int_H</ci>
                </apply>
                <ci>alpha_ext_Na</ci>
                <ci>XTxP_NHE_Na</ci>
              </apply>
              <ci>XTxP_NHE_H</ci>
            </apply>
          </apply>
          <apply>
            <plus />
            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
            <apply>
              <times />
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
              <ci>beta_int_H</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <connection>
    <map_components component_1="Concentrations" component_2="NHE3" />
    <map_variables variable_1="C_int_Na" variable_2="C_int_Na" />
    <map_variables variable_1="C_ext_NH4" variable_2="C_ext_NH4" />
    <map_variables variable_1="C_ext_H" variable_2="C_ext_H" />
    <map_variables variable_1="C_int_H" variable_2="C_int_H" />
    <map_variables variable_1="C_ext_Na" variable_2="C_ext_Na" />
    <map_variables variable_1="C_int_NH4" variable_2="C_int_NH4" />
  </connection>
  <connection>
    <map_components component_1="environment" component_2="Concentrations" />
    <map_variables variable_1="time" variable_2="time" />
  </connection>
  <connection>
    <map_components component_1="NHE3_Parameters" component_2="NHE3" />
    <map_variables variable_1="K_NHE3_Na" variable_2="K_NHE3_Na" />
    <map_variables variable_1="K_NHE3_NH4" variable_2="K_NHE3_NH4" />
    <map_variables variable_1="XTxP0_NHE3_H" variable_2="XTxP0_NHE3_H" />
    <map_variables variable_1="XTxP0_NHE3_Na" variable_2="XTxP0_NHE3_Na" />
    <map_variables variable_1="K_NHE3_H" variable_2="K_NHE3_H" />
    <map_variables variable_1="XTxP0_NHE3_NH4" variable_2="XTxP0_NHE3_NH4" />
  </connection>
</model>