- Author:
- David Nickerson <nickerso@users.sourceforge.net>
- Date:
- 2015-08-20 17:56:47+12:00
- Desc:
- adding initial set of model files from Peter
- Permanent Source URI:
- http://models.cellml.org/workspace/25d/rawfile/2524c34af1ecae85d78e46a6c9103082b3ef0da3/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.xml">
<component component_ref="sodium_channel" name="Na_channel"/>
</import>
<import xlink:href="Noble62_K_channel.xml">
<component component_ref="potassium_channel" name="K_channel"/>
</import>
<import xlink:href="Noble62_L_channel.xml">
<component component_ref="leakage_channel" name="L_channel"/>
</import>
<import xlink:href="Units_for_Noble62.xml">
<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"/>
</import>
<import xlink:href="Parameters_for_Noble62.xml">
<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"/>
<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"/>
</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"/>
</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 xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en" xmlns:xml="http://www.w3.org/XML/1998/namespace">Catherine Lloyd</vCard:FN>
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<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/" xml:lang="en" xmlns:xml="http://www.w3.org/XML/1998/namespace">Journal of Physiology</dc:title>
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<vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en" xmlns:xml="http://www.w3.org/XML/1998/namespace">Noble</vCard:Family>
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<dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/" xml:lang="en" xmlns:xml="http://www.w3.org/XML/1998/namespace">1962-01-01</dcterms:W3CDTF>
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<bqs:Pubmed_id xmlns:bqs="http://www.cellml.org/bqs/1.0#" xml:lang="en" xmlns:xml="http://www.w3.org/XML/1998/namespace">14480151</bqs:Pubmed_id>
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</dc:creator>
<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/" xml:lang="en" 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 xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xml:lang="en" 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>
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