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

<?xml version='1.0' encoding='UTF-8'?>
<model name="nak_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="INaK">
        <variable name="V" public_interface="in" units="mV"/>
        <variable name="Na_i" public_interface="in" units="mM"/>
        <variable name="Na_o" public_interface="in" units="mM"/>
        <variable name="K_o" public_interface="in" units="mM"/>
        <variable name="FonRT" public_interface="in" units="per_mV"/>
        <variable name="xiNaK" public_interface="out" units="nA_per_nF"/>
        <variable initial_value="1.5" name="gNaK" units="nA_per_nF"/>
        <variable initial_value="1.5" name="xkmko" units="mM"/>
        <variable initial_value="12" name="xkmnai" units="mM"/>
        <variable name="sigma" units="dimensionless"/>
        <variable name="fNaK" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>sigma</ci>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Na_o</ci>
                                <cn cellml:units="mM">67.3</cn>
                            </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1</cn>
                    </apply>
                    <cn cellml:units="dimensionless">7</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>fNaK</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.1245</cn>
                            <apply>
                                <exp/>
                                <apply>
                                    <times/>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="dimensionless">0.1</cn>
                                    </apply>
                                    <ci>V</ci>
                                    <ci>FonRT</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.0365</cn>
                            <ci>sigma</ci>
                            <apply>
                                <exp/>
                                <apply>
                                    <times/>
                                    <apply>
                                        <minus/>
                                        <ci>V</ci>
                                    </apply>
                                    <ci>FonRT</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>xiNaK</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>gNaK</ci>
                                <ci>fNaK</ci>
                                <ci>Na_i</ci>
                            </apply>
                            <apply>
                                <plus/>
                                <ci>Na_i</ci>
                                <ci>xkmnai</ci>
                            </apply>
                        </apply>
                        <ci>K_o</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>K_o</ci>
                        <ci>xkmko</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
</model>