- Author:
- nhen534 <devnull@localhost>
- Date:
- 2014-12-02 11:10:57+13:00
- Desc:
- Added annotations for hodgkin_huxley_1952_variant01.cellml
- Permanent Source URI:
- https://models.cellml.org/workspace/hodgkin_huxley_1952/rawfile/929433c472f824a9ed80624fb0a9ff76f3a8ee16/hodgkin_huxley_1952.cellml
<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xml:base="file:///H:/hodgkin_huxley_1952/hodgkin_huxley_1952.cellml" cmeta:id="hodgkin_huxley_squid_axon_1952" name="hodgkin_huxley_squid_axon_1952">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<section id="sec_status">
<title>Model Status</title>
<para>This version has had a stimulus protocol component added to allow the model to simulate multiple action potentials, has been unit checked and curated and is known to run in COR and PCEnv.</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
In a series of papers published in 1952, A.L. Hodgkin and A.F. Huxley presented the results of a series of experiments in which they investigated the flow of electric current through the surface membrane of the giant nerve fibre of a squid. In the summary paper of the Hodgkin and Huxley model, the authors developed a mathematical description of the behaviour of the membrane based upon these experiments, which accounts for the conduction and excitation of the fibre. The form of this description has been used as the basis for almost all other ionic current models of excitable tissues, including Purkinje fibres and cardiac atrial and ventricular muscle.
</para>
<para>The summary paper is cited below:</para>
<para>
A Quantitative Description of Membrane Current and its Application to Conduction and Excitation in Nerve, A. L. Hodgkin and A. F. Huxley, 1952, <emphasis>The Journal of Physiology</emphasis>, 117, 500-544.
<ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=pubmed&cmd=Retrieve&dopt=AbstractPlus&list_uids=12991237&query_hl=1&itool=pubmed_docsum">PubMed ID: 12991237</ulink>
</para>
<informalfigure float="0" id="fig_circuit_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>Electrical circuit describing the current across the cell membrane</title>
</objectinfo>
<imagedata fileref="hodgkin_1952.png"/>
</imageobject>
</mediaobject>
<caption>A schematic cell diagram describing the current flows across the cell membrane that are captured in the Hodgkin Huxley model.</caption>
</informalfigure>
</sect1>
</article>
</documentation>
<units name="millisecond">
<unit prefix="milli" units="second"/>
</units>
<units name="per_millisecond">
<unit exponent="-1" prefix="milli" units="second"/>
</units>
<units name="millivolt">
<unit prefix="milli" units="volt"/>
</units>
<units name="per_millivolt_millisecond">
<unit exponent="-1" units="millivolt"/>
<unit exponent="-1" prefix="milli" units="second"/>
</units>
<units name="milliS_per_cm2">
<unit prefix="milli" units="siemens"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<units name="microF_per_cm2">
<unit prefix="micro" units="farad"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<units name="microA_per_cm2">
<unit prefix="micro" units="ampere"/>
<unit exponent="-2" prefix="centi" units="metre"/>
</units>
<component name="environment">
<variable cmeta:id="environment_time" name="time" public_interface="out" units="millisecond"/>
</component>
<component cmeta:id="id_00007" name="membrane">
<variable cmeta:id="membrane_V" initial_value="-75" name="V" public_interface="out" units="millivolt"/>
<variable initial_value="-75" name="E_R" public_interface="out" units="millivolt"/>
<variable initial_value="1" name="Cm" units="microF_per_cm2"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="i_Na" public_interface="in" units="microA_per_cm2"/>
<variable name="i_K" public_interface="in" units="microA_per_cm2"/>
<variable name="i_L" public_interface="in" units="microA_per_cm2"/>
<variable name="i_Stim" units="microA_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Stim</ci>
<piecewise>
<piece>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microA_per_cm2">20</cn>
<apply>
<and/>
<apply>
<geq/>
<ci>time</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">10</cn>
</apply>
<apply>
<leq/>
<ci>time</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">10.5</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microA_per_cm2">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>V</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>i_Stim</ci>
</apply>
<ci>i_Na</ci>
<ci>i_K</ci>
<ci>i_L</ci>
</apply>
</apply>
<ci>Cm</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00001" name="sodium_channel">
<variable cmeta:id="sodium_channel_i_Na" name="i_Na" public_interface="out" units="microA_per_cm2"/>
<variable initial_value="120" name="g_Na" units="milliS_per_cm2"/>
<variable name="E_Na" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="E_R" public_interface="in" units="millivolt"/>
<variable name="m" private_interface="in" units="dimensionless"/>
<variable name="h" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_Na</ci>
<apply>
<plus/>
<ci>E_R</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">115</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Na</ci>
<apply>
<times/>
<ci>g_Na</ci>
<apply>
<power/>
<ci>m</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
<ci>h</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00002" name="sodium_channel_m_gate">
<variable initial_value="0.05" name="m" public_interface="out" units="dimensionless"/>
<variable name="alpha_m" units="per_millisecond"/>
<variable name="beta_m" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_m</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_millisecond">0.1</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_m</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">4</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">75</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">18</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>m</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_m</ci>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>m</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_m</ci>
<ci>m</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00003" name="sodium_channel_h_gate">
<variable initial_value="0.6" name="h" public_interface="out" units="dimensionless"/>
<variable name="alpha_h" units="per_millisecond"/>
<variable name="beta_h" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_h</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0.07</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">75</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">20</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_h</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">1</cn>
<apply>
<plus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">45</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>h</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_h</ci>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>h</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_h</ci>
<ci>h</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00004" name="potassium_channel">
<variable cmeta:id="potassium_channel_i_K" name="i_K" public_interface="out" units="microA_per_cm2"/>
<variable initial_value="36" name="g_K" units="milliS_per_cm2"/>
<variable name="E_K" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="E_R" public_interface="in" units="millivolt"/>
<variable name="n" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_K</ci>
<apply>
<minus/>
<ci>E_R</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">12</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K</ci>
<apply>
<times/>
<ci>g_K</ci>
<apply>
<power/>
<ci>n</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00005" name="potassium_channel_n_gate">
<variable initial_value="0.325" name="n" public_interface="out" units="dimensionless"/>
<variable name="alpha_n" units="per_millisecond"/>
<variable name="beta_n" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_n</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_millisecond">0.01</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">65</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">65</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_n</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0.125</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">75</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">80</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>n</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_n</ci>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>n</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_n</ci>
<ci>n</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00006" name="leakage_current">
<variable cmeta:id="leakage_current_i_L" name="i_L" public_interface="out" units="microA_per_cm2"/>
<variable initial_value="0.3" name="g_L" units="milliS_per_cm2"/>
<variable name="E_L" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="E_R" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_L</ci>
<apply>
<plus/>
<ci>E_R</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10.613</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>i_L</ci>
<apply>
<times/>
<ci>g_L</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_L</ci>
</apply>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="containment"/>
<component_ref component="membrane" cmeta:id="id_00009">
<component_ref component="sodium_channel" cmeta:id="id_00010">
<component_ref component="sodium_channel_m_gate" cmeta:id="id_00011"/>
<component_ref component="sodium_channel_h_gate" cmeta:id="id_00012"/>
</component_ref>
<component_ref component="potassium_channel" cmeta:id="id_00016">
<component_ref component="potassium_channel_n_gate" cmeta:id="id_00017"/>
</component_ref>
<component_ref component="leakage_current" cmeta:id="id_00008"/>
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="sodium_channel" cmeta:id="id_00013">
<component_ref component="sodium_channel_m_gate" cmeta:id="id_00014"/>
<component_ref component="sodium_channel_h_gate" cmeta:id="id_00015"/>
</component_ref>
<component_ref component="potassium_channel" cmeta:id="id_00018">
<component_ref component="potassium_channel_n_gate" cmeta:id="id_00019"/>
</component_ref>
</group>
<connection>
<map_components component_1="membrane" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sodium_channel" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="potassium_channel" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="leakage_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="sodium_channel"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="E_R" variable_2="E_R"/>
<map_variables variable_1="i_Na" variable_2="i_Na"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="potassium_channel"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="E_R" variable_2="E_R"/>
<map_variables variable_1="i_K" variable_2="i_K"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="leakage_current"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="E_R" variable_2="E_R"/>
<map_variables variable_1="i_L" variable_2="i_L"/>
</connection>
<connection>
<map_components component_1="sodium_channel" component_2="sodium_channel_m_gate"/>
<map_variables variable_1="m" variable_2="m"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="sodium_channel" component_2="sodium_channel_h_gate"/>
<map_variables variable_1="h" variable_2="h"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="potassium_channel" component_2="potassium_channel_n_gate"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"><rdf:Description rdf:about="rdf:#$Upnot2"><rdf:first><rdf:Description rdf:about="rdf:#$Vpnot2"/></rdf:first><rdf:rest><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#nil"/></rdf:rest></rdf:Description><rdf:Description rdf:about="rdf:#$Vpnot2"><maximumStepSize xmlns="http://www.cellml.org/metadata/simulation/1.0#" xml:lang="en">0.1</maximumStepSize><endingValue xmlns="http://www.cellml.org/metadata/simulation/1.0#" xml:lang="en">30</endingValue><pointDensity xmlns="http://www.cellml.org/metadata/simulation/1.0#nonstandard-" xml:lang="en">50000</pointDensity></rdf:Description><rdf:Description rdf:about="rdf:#$Tpnot2"><boundIntervals xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:about="rdf:#$Upnot2"/></boundIntervals></rdf:Description><rdf:Description rdf:about="rdf:#9402b850-7050-4483-9cc7-a84fe2f91be2"><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Hodgkin</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">A</Given><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">L</Other></rdf:Description><rdf:Description rdf:about="rdf:#2f069a61-06ba-4782-a877-f31e770cdf0d"><Pubmed_id xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">12991237</Pubmed_id><JournalArticle xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#6a5c1370-80c1-4b42-aead-44170b5e073e"/></JournalArticle></rdf:Description><rdf:Description rdf:about="rdf:#6a5c1370-80c1-4b42-aead-44170b5e073e"><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#5aa345d1-498a-40fe-852c-be5a6c19cb10"/></creator><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">A quantitative description of membrane current and its application to conductance and excitation in nerve</title><last_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">544</last_page><volume xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">117</volume><issued xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#957446e8-2852-4457-a3f6-0e87906f21b9"/></issued><first_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">500</first_page><Journal xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#eee0af8e-5256-4021-9426-80fe492518bc"/></Journal></rdf:Description><rdf:Description rdf:about="rdf:#5aa345d1-498a-40fe-852c-be5a6c19cb10"><rdf:type><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#Seq"/></rdf:type><rdf:_2><rdf:Description rdf:about="rdf:#3e67593e-eafa-479e-8369-1879d475ea1a"/></rdf:_2><rdf:_1><rdf:Description rdf:about="rdf:#51a60dc9-2f70-4eb6-845a-1dafe7feb919"/></rdf:_1></rdf:Description><rdf:Description rdf:about="rdf:#957446e8-2852-4457-a3f6-0e87906f21b9"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">1952-01-01</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#eee0af8e-5256-4021-9426-80fe492518bc"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Journal of Physiology</title></rdf:Description><rdf:Description rdf:about="rdf:#3e67593e-eafa-479e-8369-1879d475ea1a"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#0f72a1b1-ef97-4005-ad81-81353e3383ef"/></N></rdf:Description><rdf:Description rdf:about="rdf:#51a60dc9-2f70-4eb6-845a-1dafe7feb919"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#9402b850-7050-4483-9cc7-a84fe2f91be2"/></N></rdf:Description><rdf:Description rdf:about="rdf:#6d8cd909-915e-4a88-96ee-33dcda056c46"><FN xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Warren Hedley</FN></rdf:Description><rdf:Description rdf:about="rdf:#0f72a1b1-ef97-4005-ad81-81353e3383ef"><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Huxley</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">A</Given><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">F</Other></rdf:Description><rdf:Description rdf:about="rdf:#66bca445-cdee-4030-81ee-ed5b822bf666"><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#6d8cd909-915e-4a88-96ee-33dcda056c46"/></creator><rdf:value xml:lang="en">This is the CellML description of Hodgkin and Huxley's inspirational work on a mathematical description of currents through the membrane of a nerve fibre (axon) in a giant squid, and their application to the modelling of excitation in the nerve. It is generally regarded as the first example of a mathematical model of biology.</rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#34d6c118-3d31-4355-90dc-a2cb5ef18374"><rdf:value><rdf:Description rdf:about="rdf:#e9e44e76-9801-4440-a074-6509ae83c1b7"/></rdf:value><subject_type xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">keyword</subject_type></rdf:Description><rdf:Description rdf:about="rdf:#e9e44e76-9801-4440-a074-6509ae83c1b7"><rdf:type><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#Bag"/></rdf:type><rdf:_2 xml:lang="en">giant axon</rdf:_2><rdf:_1 xml:lang="en">Neuron</rdf:_1><rdf:_3 xml:lang="en">electrophysiology</rdf:_3></rdf:Description><rdf:Description rdf:about="#hodgkin_huxley_squid_axon_1952"><Pubmed_id xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">12991237</Pubmed_id><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">The Classic Hodgkin-Huxley 1952 Model of A Squid Axon.</title><cmeta:comment><rdf:Description rdf:about="rdf:#66bca445-cdee-4030-81ee-ed5b822bf666"/></cmeta:comment><simulation xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:about="rdf:#$Tpnot2"/></simulation><cmeta:species xml:lang="en">Squid</cmeta:species><cmeta:bio_entity xml:lang="en">Neuron</cmeta:bio_entity><reference xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#2f069a61-06ba-4782-a877-f31e770cdf0d"/></reference><reference xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#c1c62bec-a4f9-4b41-91ab-bbc81d473192"/></reference></rdf:Description><rdf:Description rdf:about="rdf:#c1c62bec-a4f9-4b41-91ab-bbc81d473192"><subject xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#34d6c118-3d31-4355-90dc-a2cb5ef18374"/></subject></rdf:Description><rdf:Description rdf:about="#id_00001"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0001518"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005248"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034706"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005272"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00002"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0001518"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005248"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005272"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00003"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0001518"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005248"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005272"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00004"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0008076"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005249"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0006813"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034705"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005267"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00005"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0008076"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005249"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0006813"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034705"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005267"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00006"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0022841"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0022840"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0022832"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00007"><encodes xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0042391"/></encodes><encodes xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0060075"/></encodes><encodes xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0030322"/></encodes></rdf:Description><rdf:Description rdf:about="#id_00008"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0022841"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0022840"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0022832"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00009"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0001518"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005248"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034706"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005272"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0008076"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005249"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034705"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005267"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0042391"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0060075"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0030322"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00010"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0001518"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005248"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034706"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005272"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00011"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0001518"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005248"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034706"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005272"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00012"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0001518"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005248"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034706"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005272"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00013"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0001518"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005248"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034706"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005272"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00014"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0001518"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005248"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034706"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005272"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00015"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0001518"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005248"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034706"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005272"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00016"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0008076"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005249"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034705"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005267"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00017"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0008076"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005249"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034705"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005267"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00018"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0008076"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005249"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034705"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005267"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00019"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0008076"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005249"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0034705"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0005267"/></isVersionOf></rdf:Description></rdf:RDF></model>