Location: A Simple Voltage-Modulated Markov Chain Model for the Piezo1 Ion Channel to Investigate Electromechanical Pacing @ 8465ce0a385c / models / pumps / naca_pump.cellml

Author:

termi-official <termi-official@users.noreply.github.com>

Date:

2025-05-15 16:01:20+02:00

Desc:

Add documentation for submission

Permanent Source URI:

https://staging.physiomeproject.org/workspace/d20/rawfile/8465ce0a385cdc40e2f79b001798d600e9f9e4d2/models/pumps/naca_pump.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="naca_pump" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
    <import xlink:href="../../units.cellml">
        <units name="ms" units_ref="ms"/>
        <units name="per_ms" units_ref="per_ms"/>
        <units name="mV" units_ref="mV"/>
        <units name="per_mV" units_ref="per_mV"/>
        <units name="uS_per_nF" units_ref="uS_per_nF"/>
        <units name="nA_per_nF" units_ref="nA_per_nF"/>
        <units name="mM" units_ref="mM"/>
        <units name="uM" units_ref="uM"/>
    </import>
    <component name="INaCa">
        <variable name="V" public_interface="in" units="mV"/>
        <variable name="FonRT" public_interface="in" units="per_mV"/>
        <variable name="Ca_submem" public_interface="in" units="uM"/>
        <variable name="Ca_o" public_interface="in" units="mM"/>
        <variable name="Na_i" public_interface="in" units="mM"/>
        <variable name="Na_o" public_interface="in" units="mM"/>
        <variable name="csm" public_interface="in" units="mM"/>
        <variable name="wca" public_interface="in" units="mV_per_uM"/>
        <variable initial_value="0.84" name="gNaCa" units="uM_per_ms"/>
        <variable name="aloss" units="dimensionless"/>
        <variable name="yz1" units="mM4"/>
        <variable name="yz2" units="mM4"/>
        <variable name="yz3" units="mM4"/>
        <variable name="yz4" units="mM4"/>
        <variable name="zw3" units="mM4"/>
        <variable name="zw4" units="dimensionless"/>
        <variable name="zw8" units="mM4"/>
        <variable name="jNaCa" public_interface="out" units="uM_per_ms"/>
        <variable name="xiNaCa" public_interface="out" units="nA_per_nF"/>
        <variable initial_value="0.3" name="xkdna" units="uM"/>
        <variable initial_value="1.3" name="xmcao" units="mM"/>
        <variable initial_value="87.5" name="xmnao" units="mM"/>
        <variable initial_value="12.3" name="xmnai" units="mM"/>
        <variable initial_value="0.0036" name="xmcai" units="mM"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>zw3</ci>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <apply>
                            <power/>
                            <ci>Na_i</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>Ca_o</ci>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <ci>V</ci>
                                <cn cellml:units="dimensionless">0.35</cn>
                                <ci>FonRT</ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <power/>
                            <ci>Na_o</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>csm</ci>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <ci>V</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">0.35</cn>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>FonRT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>zw4</ci>
                <apply>
                    <plus/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.2</cn>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <ci>V</ci>
                                <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">0.35</cn>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                                <ci>FonRT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>aloss</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <power/>
                            <apply>
                                <divide/>
                                <ci>xkdna</ci>
                                <ci>Ca_submem</ci>
                            </apply>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>yz1</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <ci>xmcao</ci>
                        <apply>
                            <power/>
                            <ci>Na_i</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <power/>
                            <ci>xmnao</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>csm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>yz2</ci>
                <apply>
                    <times/>
                    <apply>
                        <power/>
                        <ci>xmnai</ci>
                        <cn cellml:units="dimensionless">3</cn>
                    </apply>
                    <ci>Ca_o</ci>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <divide/>
                            <ci>csm</ci>
                            <ci>xmcai</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>yz3</ci>
                <apply>
                    <times/>
                    <ci>xmcai</ci>
                    <apply>
                        <power/>
                        <ci>Na_o</ci>
                        <cn cellml:units="dimensionless">3</cn>
                    </apply>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <power/>
                            <apply>
                                <divide/>
                                <ci>Na_i</ci>
                                <ci>xmnai</ci>
                            </apply>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>yz4</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <apply>
                            <power/>
                            <ci>Na_i</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>Ca_o</ci>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <power/>
                            <ci>Na_o</ci>
                            <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>csm</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>zw8</ci>
                <apply>
                    <plus/>
                    <ci>yz1</ci>
                    <ci>yz2</ci>
                    <ci>yz3</ci>
                    <ci>yz4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>jNaCa</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>gNaCa</ci>
                        <ci>aloss</ci>
                        <ci>zw3</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>zw4</ci>
                        <ci>zw8</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>xiNaCa</ci>
                <apply>
                    <times/>
                    <ci>wca</ci>
                    <ci>jNaCa</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>