Location: 12 L Platform 1 model codes @ 9ac5ec0fe3f8 / USMC / testrow.cellml

Author:
aram148 <a.rampadarath@auckland.ac.nz>
Date:
2021-12-17 11:46:34+13:00
Desc:
Added the Matlab 7 airway code
Permanent Source URI:
https://models.cellml.org/workspace/6b0/rawfile/9ac5ec0fe3f8ae60e6020b99146573defeb5a5e9/USMC/testrow.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="testrow_2018" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <units name="S">
        <unit units="ampere"/>
        <unit exponent="-1" units="volt"/>
    </units>
    <units name="Farad">
        <unit units="coulomb"/>
        <unit exponent="-1" units="volt"/>
    </units>
    <units name="nS_per_pF">
        <unit prefix="nano" units="S"/>
        <unit exponent="-1" prefix="pico" units="Farad"/>
    </units>
    <units name="mV">
        <unit prefix="milli" units="volt"/>
    </units>
    <units name="uM">
        <unit prefix="micro" units="mole"/>
    </units>
    <units name="per_cm2">
        <unit exponent="-2" prefix="centi" units="meter"/>
    </units>
    <units name="pF">
        <unit prefix="pico" units="Farad"/>
    </units>
    <units name="ms">
        <unit prefix="milli" units="second"/>
    </units>
    <units name="cm3_per_s">
        <unit exponent="3" prefix="centi" units="meter"/>
        <unit exponent="-1" units="second"/>
    </units>
    <units name="pA_per_pf">
        <unit prefix="pico" units="ampere"/>
        <unit exponent="-1" units="pf"/>
    </units>
    <units name="mM_per_ms">
        <unit prefix="milli" units="mole"/>
        <unit exponent="-1" units="ms"/>
    </units>
    <units name="mM">
        <unit prefix="milli" units="mole"/>
    </units>
    <units name="nmol_J_s_cm2">
        <unit exponent="-2" prefix="nano" units="mole"/>
        <unit exponent="-1" units="joule"/>
        <unit exponent="-1" units="second"/>
        <unit exponent="2" prefix="centi" units="meter"/>
    </units>
    <units name="cm2">
        <unit exponent="2" prefix="centi" units="meter"/>
    </units>
    <units name="cm3">
        <unit exponent="3" prefix="centi" units="meter"/>
    </units>
    <units name="uM_percm2">
        <unit units="uM"/>
        <unit units="per_cm2"/>
    </units>
    <units name="C_Per_Mol">
        <unit units="coulomb"/>
        <unit prefix="-1" units="mole"/>
    </units>
    <units name="pA">
        <unit prefix="pico" units="ampere"/>
    </units>
    <units name="mM2_per_ms">
        <unit exponent="2" prefix="milli" units="mole"/>
        <unit exponent="-1" units="ms"/>
    </units>
    <units name="per_ms">
        <unit exponent="-1" prefix="milli" units="second"/>
    </units>
    <units name="nM">
        <unit prefix="nano" units="mole"/>
    </units>
    <units name="mC_per_mmol">
        <unit prefix="milli" units="coulomb"/>
        <unit exponent="-1" prefix="milli" units="mole"/>
    </units>
    <units name="molar_gas_const">
        <unit prefix="micro" units="joule"/>
        <unit exponent="-1" units="kelvin"/>
        <unit exponent="-1" prefix="milli" units="mole"/>
    </units>
    <units name="um">
        <unit prefix="micro" units="meter"/>
    </units>
    <units name="uN">
        <unit prefix="micro" units="newton"/>
    </units>
    <units name="uN_per_um">
        <unit units="uN"/>
        <unit exponent="-1" units="um"/>
    </units>
    <units name="uN_ms_per_um">
        <unit units="uN"/>
        <unit prefix="milli" units="meter"/>
        <unit exponent="-1" units="um"/>
    </units>
    <component name="LT_CC">
        <variable name="I_cal" units="dimensionless"/>
        <variable initial_value="0.318" name="gb_cal" units="nS_per_pF"/>
        <variable initial_value="0.0133195" name="d" units="dimensionless"/>
        <variable name="f_ca" units="dimensionless"/>
        <variable initial_value="0.938986" name="f1" units="dimensionless"/>
        <variable initial_value="0.938986" name="f2" units="dimensionless"/>
        <variable name="V" units="mV"/>
        <variable initial_value="45" name="E_cal" units="mV"/>
        <variable name="f_inf" units="dimensionless"/>
        <variable name="tau_d" units="dimensionless"/>
        <variable initial_value="12" name="tau_f1" units="ms"/>
        <variable name="tau_f2" units="dimensionless"/>
        <variable name="d_inf" units="dimensionless"/>
        <variable initial_value="9.46e-5" name="Ca_i" units="Mm"/>
        <variable initial_value="0.6" name="K_mcal" units="uM"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>I_cal</ci>
                <apply>
                    <times/>
                    <ci>gb_cal</ci>
                    <apply>
                        <power/>
                        <ci>d</ci>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <ci>f_ca</ci>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.8</cn>
                            <ci>f1</ci>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.2</cn>
                            <ci>f2</ci>
                        </apply>
                    </apply>
                    <apply>
                        <minus/>
                        <ci>V</ci>
                        <ci>E_cal</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>f_ca</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <divide/>
                            <ci>Ca_i</ci>
                            <ci>K_mcal</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>d_inf</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <minus/>
                                        <ci>V</ci>
                                    </apply>
                                    <cn cellml:units="dimensionless">22</cn>
                                </apply>
                                <cn cellml:units="dimensionless">7</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>f_inf</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>V</ci>
                                    <cn cellml:units="dimensionless">33</cn>
                                </apply>
                                <cn cellml:units="dimensionless">7</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_d</ci>
                <apply>
                    <plus/>
                    <cn cellml:units="dimensionless">2.29</cn>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">5.7</cn>
                        <apply>
                            <plus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <apply>
                                <power/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <plus/>
                                        <ci>V</ci>
                                        <cn cellml:units="dimensionless">29.97</cn>
                                    </apply>
                                    <cn cellml:units="dimensionless">9</cn>
                                </apply>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_f2</ci>
                <apply>
                    <minus/>
                    <cn cellml:units="dimensionless">90.97</cn>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">90.97</cn>
                        <apply>
                            <times/>
                            <apply>
                                <plus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <plus/>
                                            <ci>V</ci>
                                            <cn cellml:units="dimensionless">13.96</cn>
                                        </apply>
                                        <cn cellml:units="dimensionless">45.38</cn>
                                    </apply>
                                </apply>
                            </apply>
                            <apply>
                                <plus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <minus/>
                                            <apply>
                                                <minus/>
                                                <ci>V</ci>
                                            </apply>
                                            <cn cellml:units="dimensionless">9.5</cn>
                                        </apply>
                                        <cn cellml:units="dimensionless">3.39</cn>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>d</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>d_inf</ci>
                        <ci>d</ci>
                    </apply>
                    <ci>tau_d</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>f1</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>f_inf</ci>
                        <ci>f1</ci>
                    </apply>
                    <ci>tau_f1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>f2</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>f_inf</ci>
                        <ci>f2</ci>
                    </apply>
                    <ci>tau_f2</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>