Location: Hodgkin & Huxley (1952) model @ ab2962b87966 / components / INa-gating-rates.cellml

Author:
WeiweiAi <wai484@aucklanduni.ac.nz>
Date:
2022-03-31 10:48:40+13:00
Desc:
Add open channel IV of HH models; Add simulation and plot python scripts
Permanent Source URI:
https://models.fieldml.org/workspace/64f/rawfile/ab2962b8796666ad9938a2577611c954f006b5fd/components/INa-gating-rates.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="INa_gating_rates" 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="../cellLib/Components/units.cellml">
        <units name="ms" units_ref="ms"/>
        <units name="mV" units_ref="mV"/>
        <units name="per_ms" units_ref="per_ms"/>
        <units name="per_ms_mV" units_ref="per_ms_mV"/>
    </import>
    <component name="alpha_m">
        <variable name="alpha" private_interface="out" public_interface="out" units="per_ms"/>
        <variable name="V" private_interface="out" public_interface="in" units="mV"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply id="alpha_m_calculation">
                <eq/>
                <ci>alpha</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="per_ms_mV">0.1</cn>
                        <apply>
                            <plus/>
                            <ci>V</ci>
                            <cn cellml:units="mV">25.0</cn>
                        </apply>
                    </apply>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>V</ci>
                                    <cn cellml:units="mV">25.0</cn>
                                </apply>
                                <cn cellml:units="mV">10.0</cn>
                            </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1.0</cn>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="beta_m">
        <variable name="beta" private_interface="out" public_interface="out" units="per_ms"/>
        <variable name="V" private_interface="out" public_interface="in" units="mV"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply id="beta_m_calculation">
                <eq/>
                <ci>beta</ci>
                <apply>
                    <times/>
                    <cn cellml:units="per_ms">4.0</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>V</ci>
                            <cn cellml:units="mV">18.0</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="alpha_h">
        <variable name="alpha" private_interface="out" public_interface="out" units="per_ms"/>
        <variable name="V" private_interface="out" public_interface="in" units="mV"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply id="alpha_h_calculation">
                <eq/>
                <ci>alpha</ci>
                <apply>
                    <times/>
                    <cn cellml:units="per_ms">0.07</cn>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>V</ci>
                            <cn cellml:units="mV">20.0</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="beta_h">
        <variable name="beta" private_interface="out" public_interface="out" units="per_ms"/>
        <variable name="V" private_interface="out" public_interface="in" units="mV"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply id="beta_h_calculation">
                <eq/>
                <ci>beta</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="per_ms">1.0</cn>
                    <apply>
                        <plus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>V</ci>
                                    <cn cellml:units="mV">30.0</cn>
                                </apply>
                                <cn cellml:units="mV">10.0</cn>
                            </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1.0</cn>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
</model>