Location: Models for the OpenCOR and PMR tutorial by Peter Hunter @ c584eab55e20 / Noble_1962.cellml

Author:
David Nickerson <nickerso@users.sourceforge.net>
Date:
2016-03-17 22:21:09+13:00
Desc:
adding a SED-ML for the Noble 1962 model example
Permanent Source URI:
http://models.cellml.org/workspace/25d/rawfile/c584eab55e20fdc9cffb9d20a5d548b9910e18fd/Noble_1962.cellml

<?xml version='1.0'?>
<model name="Noble_1962" 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="Noble62_Na_channel.cellml">
        <component component_ref="sodium_channel" name="Na_channel"/>
    </import>
    <import xlink:href="Noble62_K_channel.cellml">
        <component component_ref="potassium_channel" name="K_channel"/>
    </import>
    <import xlink:href="Noble62_L_channel.cellml">
        <component component_ref="leakage_channel" name="L_channel"/>
    </import>
    <import xlink:href="Noble62_units.cellml">
        <units name="mV" units_ref="mV"/>
        <units name="ms" units_ref="ms"/>
        <units name="mM" units_ref="mM"/>
        <units name="microF" units_ref="microF"/>
        <units name="microA" units_ref="microA"/>
        <units name="mS" units_ref="mS"/>
    </import>
    <import xlink:href="Noble62_parameters.cellml">
        <component component_ref="parameters" name="parameters"/>
    </import>
    <connection>
        <map_components component_1="parameters" component_2="membrane"/>
        <map_variables variable_1="Ki" variable_2="Ki"/>
        <map_variables variable_1="Ko" variable_2="Ko"/>
        <map_variables variable_1="Nai" variable_2="Nai"/>
        <map_variables variable_1="Nao" variable_2="Nao"/>
    </connection>
    <component name="environment">
        <variable initial_value="0" name="t" public_interface="out" units="ms"/>
    </component>
    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="membrane">
            <component_ref component="Na_channel"/>
            <component_ref component="K_channel"/>
            <component_ref component="L_channel"/>
        </component_ref>
    </group>
    <component name="membrane">
        <variable initial_value="-85" name="V" private_interface="out" public_interface="out" units="mV"/>
        <variable name="t" private_interface="out" public_interface="in" units="ms"/>
        <variable initial_value="12" name="Cm" units="microF"/>
        <variable name="Ki" private_interface="out" public_interface="in" units="mM"/>
        <variable name="Ko" private_interface="out" public_interface="in" units="mM"/>
        <variable name="Nai" private_interface="out" public_interface="in" units="mM"/>
        <variable name="Nao" private_interface="out" public_interface="in" units="mM"/>
        <variable name="i_Na" private_interface="in" public_interface="out" units="microA"/>
        <variable name="i_K" private_interface="in" public_interface="out" units="microA"/>
        <variable name="i_L" private_interface="in" public_interface="out" units="microA"/>
        <variable name="g_Na" private_interface="in" units="mS"/>
        <variable name="h" private_interface="in" units="dimensionless"/>
        <variable name="m" private_interface="in" units="dimensionless"/>
        <variable name="g_K1" private_interface="in" units="mS"/>
        <variable name="g_K2" private_interface="in" units="mS"/>
        <variable name="n" private_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>V</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <ci>i_Na</ci>
                            <ci>i_K</ci>
                            <ci>i_L</ci>
                        </apply>
                    </apply>
                    <ci>Cm</ci>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="environment" component_2="membrane"/>
        <map_variables variable_1="t" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="membrane" component_2="Na_channel"/>
        <map_variables variable_1="V" variable_2="V"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="Nai" variable_2="Nai"/>
        <map_variables variable_1="Nao" variable_2="Nao"/>
        <map_variables variable_1="i_Na" variable_2="i_Na"/>
        <map_variables variable_1="g_Na" variable_2="g_Na"/>
        <map_variables variable_1="h" variable_2="h"/>
        <map_variables variable_1="m" variable_2="m"/>
    </connection>
    <connection>
        <map_components component_1="membrane" component_2="K_channel"/>
        <map_variables variable_1="V" variable_2="V"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="Ki" variable_2="Ki"/>
        <map_variables variable_1="Ko" variable_2="Ko"/>
        <map_variables variable_1="i_K" variable_2="i_K"/>
        <map_variables variable_1="g_K1" variable_2="g_K1"/>
        <map_variables variable_1="g_K2" variable_2="g_K2"/>
        <map_variables variable_1="n" variable_2="n"/>
    </connection>
    <connection>
        <map_components component_1="membrane" component_2="L_channel"/>
        <map_variables variable_1="V" variable_2="V"/>
        <map_variables variable_1="i_L" variable_2="i_L"/>
    </connection>
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            <vCard:FN xml:lang="en" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:xml="http://www.w3.org/XML/1998/namespace">Catherine Lloyd</vCard:FN>
        </rdf:Description>
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            <dc:title xml:lang="en" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xml="http://www.w3.org/XML/1998/namespace">Journal of Physiology</dc:title>
        </rdf:Description>
        <rdf:Description rdf:about="rdf:#668ac89a-7e3f-4741-b844-d9fccc1d635d" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
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            <vCard:Family xml:lang="en" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:xml="http://www.w3.org/XML/1998/namespace">Noble</vCard:Family>
        </rdf:Description>
        <rdf:Description rdf:about="rdf:#bab8bf9e-26fc-484f-a5b4-2c4a97a1d123" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
            <dcterms:W3CDTF xml:lang="en" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xml="http://www.w3.org/XML/1998/namespace">1962-01-01</dcterms:W3CDTF>
        </rdf:Description>
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            <bqs:Pubmed_id xml:lang="en" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:xml="http://www.w3.org/XML/1998/namespace">14480151</bqs:Pubmed_id>
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                <rdf:Description rdf:about="rdf:#bde132e3-049c-4da1-8e0a-b4d71b59075d" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"/>
            </dc:creator>
            <dc:title xml:lang="en" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xml="http://www.w3.org/XML/1998/namespace">A Modification of the Hodgkin-Huxley Equations Applicable to Purkinje Fibre Action and Pace-Maker Potentials</dc:title>
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            <rdf:value xml:lang="en" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:xml="http://www.w3.org/XML/1998/namespace">This is the CellML description of Noble's 1962 mathematical model of Purkinje fibre action and pace-maker potentials.  The equations formulated by Hodgkin and Huxley (1952) to describe the electrical activity of squid nerve have been modified to describe the action and pace-maker potentials of the Purkinje fibres of the heart.</rdf:value>
        </rdf:Description>
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