Location: 12 L Platform 1 model codes @ a8a92308e217 / Airway_FTU / cellml2_version / experiments / hai.cellml

Author:
aram148 <42922407+aram148@users.noreply.github.com>
Date:
2022-07-22 15:47:05+12:00
Desc:
Added documentation for VSM model
Permanent Source URI:
https://models.cellml.org/workspace/6b0/rawfile/a8a92308e217ac5626809237dd90a31240b22834/Airway_FTU/cellml2_version/experiments/hai.cellml

<model xmlns="http://www.cellml.org/cellml/2.0#" xmlns:cellml="http://www.cellml.org/cellml/2.0#" xmlns:xlink="http://www.w3.org/1999/xlink" name="hai" id="hai">
    <units name="nanometre">
        <unit prefix="nano" units="metre"/>
    </units>
    <units name="first_order_rate_constant">
        <unit exponent="-1" units="second"/>
    </units>
    <component name="environment">
        <variable name="time" units="second" interface="public"/>
    </component>
    <component name="M" id="M">
        <variable initial_value="1.0" name="M" units="dimensionless" interface="public"/>
        <variable name="AM" units="dimensionless" interface="public"/>
        <variable name="Mp" units="dimensionless" interface="public"/>
        <variable name="k1" units="first_order_rate_constant" interface="public"/>
        <variable name="k2" units="first_order_rate_constant" interface="public"/>
        <variable name="k7" units="first_order_rate_constant" interface="public"/>
        <variable name="time" units="second" interface="public"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>M</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <apply>
                            <minus/>
                            <ci>k1</ci>
                        </apply>
                        <ci>M</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k2</ci>
                        <ci>Mp</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k7</ci>
                        <ci>AM</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="Mp" id="Mp">
        <variable initial_value="0.0" name="Mp" units="dimensionless" interface="public"/>
        <variable name="AMp" units="dimensionless" interface="public"/>
        <variable name="M" units="dimensionless" interface="public"/>
        <variable name="k1" units="first_order_rate_constant" interface="public"/>
        <variable name="k2" units="first_order_rate_constant" interface="public"/>
        <variable name="k3" units="first_order_rate_constant" interface="public"/>
        <variable name="k4" units="first_order_rate_constant" interface="public"/>
        <variable name="time" units="second" interface="public"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Mp</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>k4</ci>
                            <ci>AMp</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k1</ci>
                            <ci>M</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <ci>k2</ci>
                            <ci>k3</ci>
                        </apply>
                        <ci>Mp</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="AMp" id="AMp">
        <variable initial_value="0.0" name="AMp" units="dimensionless" interface="public"/>
        <variable name="Mp" units="dimensionless" interface="public"/>
        <variable name="AM" units="dimensionless" interface="public"/>
        <variable name="k5" units="first_order_rate_constant" interface="public"/>
        <variable name="k6" units="first_order_rate_constant" interface="public"/>
        <variable name="k3" units="first_order_rate_constant" interface="public"/>
        <variable name="k4" units="first_order_rate_constant" interface="public"/>
        <variable name="time" units="second" interface="public"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>AMp</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>k3</ci>
                            <ci>Mp</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k6</ci>
                            <ci>AM</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <ci>k5</ci>
                            <ci>k4</ci>
                        </apply>
                        <ci>AMp</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="AM" id="AM">
        <variable initial_value="0.0" name="AM" units="dimensionless" interface="public"/>
        <variable name="AMp" units="dimensionless" interface="public"/>
        <variable name="k5" units="first_order_rate_constant" interface="public"/>
        <variable name="k6" units="first_order_rate_constant" interface="public"/>
        <variable name="k7" units="first_order_rate_constant" interface="public"/>
        <variable name="time" units="second" interface="public"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>AM</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>k5</ci>
                        <ci>AMp</ci>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <ci>k6</ci>
                            <ci>k7</ci>
                        </apply>
                        <ci>AM</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="phosphorylation" id="phosphorylation">
        <variable name="phosphorylation" units="dimensionless"/>
        <variable name="AMp" units="dimensionless" interface="public"/>
        <variable name="Mp" units="dimensionless" interface="public"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>phosphorylation</ci>
                <apply>
                    <plus/>
                    <ci>AMp</ci>
                    <ci>Mp</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="stress" id="stress">
        <variable name="stress" units="dimensionless" interface="public"/>
        <variable name="AMp" units="dimensionless" interface="public"/>
        <variable name="AM" units="dimensionless" interface="public"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>stress</ci>
                <apply>
                    <plus/>
                    <ci>AMp</ci>
                    <ci>AM</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="model_parameters">
        <variable name="k1" units="first_order_rate_constant" interface="public"/>
        <variable initial_value="0.5" name="k2" units="first_order_rate_constant" interface="public"/>
        <variable initial_value="0.5" name="k5" units="first_order_rate_constant" interface="public"/>
        <variable name="k6" units="first_order_rate_constant" interface="public"/>
        <variable initial_value="0.4" name="k3" units="first_order_rate_constant" interface="public"/>
        <variable initial_value="0.1" name="k4" units="first_order_rate_constant" interface="public"/>
        <variable initial_value="0.01" name="k7" units="first_order_rate_constant" interface="public"/>
        <variable name="time" units="second" interface="public"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply id="k1_calculation">
                <eq/>
                <ci>k1</ci>
                <piecewise>
                    <piece>
                        <cn cellml:units="first_order_rate_constant">0.55</cn>
                        <apply>
                            <and/>
                            <apply>
                                <geq/>
                                <ci>time</ci>
                                <cn cellml:units="second">0.0</cn>
                            </apply>
                            <apply>
                                <lt/>
                                <ci>time</ci>
                                <cn cellml:units="second">5.0</cn>
                            </apply>
                        </apply>
                    </piece>
                    <otherwise>
                        <cn cellml:units="first_order_rate_constant">0.3</cn>
                    </otherwise>
                </piecewise>
            </apply>
            <apply id="k6_calculation">
                <eq/>
                <ci>k6</ci>
                <ci>k1</ci>
            </apply>
        </math>
    </component>
    <connection component_1="model_parameters" component_2="environment">
        
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection component_1="M" component_2="environment">
        
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection component_1="Mp" component_2="environment">
        
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection component_1="AMp" component_2="environment">
        
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection component_1="AM" component_2="environment">
        
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection component_1="M" component_2="model_parameters">
        
        <map_variables variable_1="k7" variable_2="k7"/>
        <map_variables variable_1="k1" variable_2="k1"/>
        <map_variables variable_1="k2" variable_2="k2"/>
    </connection>
    <connection component_1="Mp" component_2="model_parameters">
        
        <map_variables variable_1="k4" variable_2="k4"/>
        <map_variables variable_1="k3" variable_2="k3"/>
        <map_variables variable_1="k2" variable_2="k2"/>
        <map_variables variable_1="k1" variable_2="k1"/>
    </connection>
    <connection component_1="AMp" component_2="model_parameters">
        
        <map_variables variable_1="k5" variable_2="k5"/>
        <map_variables variable_1="k6" variable_2="k6"/>
        <map_variables variable_1="k4" variable_2="k4"/>
        <map_variables variable_1="k3" variable_2="k3"/>
    </connection>
    <connection component_1="AM" component_2="model_parameters">
        
        <map_variables variable_1="k5" variable_2="k5"/>
        <map_variables variable_1="k6" variable_2="k6"/>
        <map_variables variable_1="k7" variable_2="k7"/>
    </connection>
    <connection component_1="AM" component_2="M">
        
        <map_variables variable_1="AM" variable_2="AM"/>
    </connection>
    <connection component_1="AM" component_2="AMp">
        
        <map_variables variable_1="AMp" variable_2="AMp"/>
        <map_variables variable_1="AM" variable_2="AM"/>
    </connection>
    <connection component_1="M" component_2="Mp">
        
        <map_variables variable_1="M" variable_2="M"/>
        <map_variables variable_1="Mp" variable_2="Mp"/>
    </connection>
    <connection component_1="Mp" component_2="AMp">
        
        <map_variables variable_1="Mp" variable_2="Mp"/>
        <map_variables variable_1="AMp" variable_2="AMp"/>
    </connection>
    <connection component_1="phosphorylation" component_2="AMp">
        
        <map_variables variable_1="AMp" variable_2="AMp"/>
    </connection>
    <connection component_1="phosphorylation" component_2="Mp">
        
        <map_variables variable_1="Mp" variable_2="Mp"/>
    </connection>
    <connection component_1="stress" component_2="AMp">
        
        <map_variables variable_1="AMp" variable_2="AMp"/>
    </connection>
    <connection component_1="stress" component_2="AM">
        
        <map_variables variable_1="AM" variable_2="AM"/>
    </connection>
    
    
</model>