- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2006-08-21 04:59:40+12:00
- Desc:
- committing version02 of hodgkin_huxley_1952
- Permanent Source URI:
- https://models.cellml.org/workspace/hodgkin_huxley_1952/rawfile/326854e3bbcb10fa69521f4d4df1c9cad764671a/hodgkin_huxley_1952.cellml
<?xml version='1.0' encoding='utf-8'?>
<model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" cmeta:id="1952_hodgkin_huxley" name="hodgkin_huxley_1952_version02">
<!--
Generally, we want to move away from initial/default values being
stored in the model directly. But until we are using CellML 1.1
it is probably quite useful to include the values in the model.
-->
<!-- Global units -->
<units name="mV">
<unit units="volt" prefix="milli"/>
</units>
<units name="uApmmsq">
<unit units="ampere" prefix="micro"/>
<unit units="metre" prefix="milli" exponent="-2"/>
</units>
<units name="uApmmcu">
<unit units="ampere" prefix="micro"/>
<unit units="metre" prefix="milli" exponent="-3"/>
</units>
<units name="uFpmmsq">
<unit units="farad" prefix="micro"/>
<unit units="metre" prefix="milli" exponent="-2"/>
</units>
<units name="mSpmmsq">
<unit units="siemens" prefix="milli"/>
<unit units="metre" prefix="milli" exponent="-2"/>
</units>
<units name="ms">
<unit units="second" prefix="milli"/>
</units>
<component cmeta:id="interface" name="interface">
<!-- Variables we expect to be set/controlled externally -->
<variable units="ms" private_interface="out" name="t"/>
<variable units="uFpmmsq" private_interface="out" name="Cm" initial_value="0.01"/>
<variable units="mV" private_interface="out" name="Er" initial_value="-65.0"/>
<variable units="mSpmmsq" private_interface="out" name="gNa_max" initial_value="120.0e-2"/>
<variable units="mSpmmsq" private_interface="out" name="gK_max" initial_value="36.0e-2"/>
<variable units="mSpmmsq" private_interface="out" name="gleak_max" initial_value="0.3e-2"/>
<variable units="uApmmcu" private_interface="out" name="Istim"/>
<!-- Variables we want to make available externally -->
<variable units="mV" public_interface="out" private_interface="in" name="Vm"/>
<variable units="dimensionless" public_interface="out" private_interface="in" name="m"/>
<variable units="dimensionless" public_interface="out" private_interface="in" name="h"/>
<variable units="dimensionless" public_interface="out" private_interface="in" name="n"/>
<variable units="uApmmsq" public_interface="out" private_interface="in" name="INa"/>
<variable units="uApmmsq" public_interface="out" private_interface="in" name="IK"/>
<variable units="uApmmsq" public_interface="out" private_interface="in" name="Ileak"/>
<variable units="uApmmcu" public_interface="out" name="IStimC"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="IStim_for_cmiss_eq">
<apply id="IStim_for_cmiss">
<eq/>
<ci>IStimC</ci>
<ci>Istim</ci>
</apply>
</math>
</component> <!--interface-->
<component cmeta:id="membrane" name="membrane">
<!-- Inputs -->
<variable units="ms" public_interface="in" private_interface="out" name="t"/>
<variable units="uFpmmsq" public_interface="in" private_interface="out" name="Cm"/>
<variable units="mV" public_interface="in" private_interface="out" name="Er"/>
<variable units="mSpmmsq" public_interface="in" private_interface="out" name="gNa_max"/>
<variable units="mSpmmsq" public_interface="in" private_interface="out" name="gK_max"/>
<variable units="mSpmmsq" public_interface="in" private_interface="out" name="gleak_max"/>
<variable units="uApmmcu" public_interface="in" private_interface="out" name="Istim"/>
<!-- Outputs computed here -->
<variable units="mV" public_interface="out" private_interface="out" name="Vm" initial_value="-65.0"/>
<!-- Outputs coming from encapsulated components -->
<variable units="dimensionless" public_interface="out" private_interface="in" name="m"/>
<variable units="dimensionless" public_interface="out" private_interface="in" name="h"/>
<variable units="dimensionless" public_interface="out" private_interface="in" name="n"/>
<variable units="uApmmsq" public_interface="out" private_interface="in" name="INa"/>
<variable units="uApmmsq" public_interface="out" private_interface="in" name="IK"/>
<variable units="uApmmsq" public_interface="out" private_interface="in" name="Ileak"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Vm_diff_calculation_eq">
<apply id="Vm_diff_calculation">
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Vm</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>Istim</ci>
<apply>
<plus/>
<ci>INa</ci>
<ci>IK</ci>
<ci>Ileak</ci>
</apply>
</apply>
<ci>Cm</ci>
</apply>
</apply>
</math>
</component>
<!--membrane-->
<component cmeta:id="sodium_channel" name="sodium_channel">
<!-- Inputs -->
<variable units="ms" public_interface="in" private_interface="out" name="t"/>
<variable units="mV" public_interface="in" private_interface="out" name="Vm"/>
<variable units="mV" public_interface="in" private_interface="out" name="Er"/>
<variable units="mSpmmsq" public_interface="in" private_interface="out" name="gNa_max"/>
<!-- Outputs computed here -->
<variable units="uApmmsq" public_interface="out" name="INa"/>
<!-- Outputs from encapsulated components -->
<variable units="dimensionless" public_interface="out" private_interface="in" name="m_gate"/>
<variable units="dimensionless" public_interface="out" private_interface="in" name="h"/>
<!-- Local variables -->
<variable units="mSpmmsq" name="gNa"/>
<variable units="mV" name="ENa"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="INa_calculation_eq">
<apply id="INa_calculation">
<eq/>
<ci>INa</ci>
<apply>
<times/>
<ci>gNa</ci>
<apply>
<minus/>
<ci>Vm</ci>
<ci>ENa</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="gNa_calculation_eq">
<apply id="gNa_calculation">
<eq/>
<ci>gNa</ci>
<apply>
<times/>
<ci>gNa_max</ci>
<apply>
<power/>
<ci>m_gate</ci>
<cn cellml:units="dimensionless">3.0</cn>
</apply>
<ci>h</ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="ENa_calculation_eq">
<apply id="ENa_calculation">
<eq/>
<ci>ENa</ci>
<apply>
<plus/>
<ci>Er</ci>
<cn cellml:units="mV">115.0</cn>
</apply>
</apply>
</math>
</component>
<!--sodium_channel-->
<component cmeta:id="sodium_channel_m_gate" name="sodium_channel_m_gate">
<!-- Local units -->
<units name="pms">
<unit units="ms" exponent="-1"/>
</units>
<!-- Inputs -->
<variable units="ms" public_interface="in" private_interface="out" name="t"/>
<variable units="mV" public_interface="in" private_interface="out" name="Vm"/>
<variable units="mV" public_interface="in" private_interface="out" name="Er"/>
<!-- Outputs computed here -->
<variable units="dimensionless" public_interface="out" name="m" initial_value="0.0"/>
<!-- Local variables -->
<variable units="pms" name="alpha"/>
<variable units="pms" name="beta"/>
<variable units="mV" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="alpha_m_calculation_eq">
<apply id="alpha_m_calculation">
<eq/>
<ci>alpha</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="pms">0.1</cn>
<apply>
<minus/>
<cn cellml:units="mV">25.0</cn>
<ci>V</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.1 </cn>
<apply>
<minus/>
<cn cellml:units="mV">25.0</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="beta_m_calculation_eq">
<apply id="beta_m_calculation">
<eq/>
<ci>beta</ci>
<apply>
<times/>
<cn cellml:units="pms">4.0</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn cellml:units="mV">18.0</cn>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="dm_dt_eq">
<apply id="dm_dt">
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>m</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
<ci>m</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta</ci>
<ci>m</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="m_V_eq">
<apply id="m_V">
<eq/>
<ci>V</ci>
<apply>
<minus/>
<ci>Vm</ci>
<ci>Er</ci>
</apply>
</apply>
</math>
</component>
<!--sodium_channel_m_gate-->
<component cmeta:id="sodium_channel_h_gate" name="sodium_channel_h_gate">
<!-- Local units -->
<units name="pms">
<unit units="ms" exponent="-1"/>
</units>
<!-- Inputs -->
<variable units="ms" public_interface="in" private_interface="out" name="t"/>
<variable units="mV" public_interface="in" private_interface="out" name="Vm"/>
<variable units="mV" public_interface="in" private_interface="out" name="Er"/>
<!-- Outputs computed here -->
<variable units="dimensionless" public_interface="out" name="h" initial_value="0.6"/>
<!-- Local variables -->
<variable units="pms" name="alpha"/>
<variable units="pms" name="beta"/>
<variable units="mV" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="beta_h_calculation_eq">
<apply id="beta_h_calculation">
<eq/>
<ci>beta</ci>
<apply>
<divide/>
<cn cellml:units="pms">1.0</cn>
<apply>
<plus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.1</cn>
<apply>
<minus/>
<cn cellml:units="mV">30.0</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="alpha_h_calculation_eq">
<apply id="alpha_h_calculation">
<eq/>
<ci>alpha</ci>
<apply>
<times/>
<cn cellml:units="pms">0.07</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn cellml:units="mV">20.0</cn>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="dh_dt_eq">
<apply id="dh_dt">
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>h</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
<ci>h</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta</ci>
<ci>h</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="h_V_eq">
<apply id="h_V">
<eq/>
<ci>V</ci>
<apply>
<minus/>
<ci>Vm</ci>
<ci>Er</ci>
</apply>
</apply>
</math>
</component>
<!--sodium_channel_h_gate-->
<component cmeta:id="potassium_channel" name="potassium_channel">
<!-- Inputs -->
<variable units="ms" public_interface="in" private_interface="out" name="t"/>
<variable units="mV" public_interface="in" private_interface="out" name="Vm"/>
<variable units="mV" public_interface="in" private_interface="out" name="Er"/>
<variable units="mSpmmsq" public_interface="in" private_interface="out" name="gK_max"/>
<!-- Outputs computed here -->
<variable units="uApmmsq" public_interface="out" name="IK"/>
<!-- Outputs from encapsulated components -->
<variable units="dimensionless" public_interface="out" private_interface="in" name="n"/>
<!-- Local variables -->
<variable units="mSpmmsq" name="gK"/>
<variable units="mV" name="EK"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="IK_calculation_eq">
<apply id="IK_calculation">
<eq/>
<ci>IK</ci>
<apply>
<times/>
<ci>gK</ci>
<apply>
<minus/>
<ci>Vm</ci>
<ci>EK</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="gK_calculation_eq">
<apply id="gK_calculation">
<eq/>
<ci>gK</ci>
<apply>
<times/>
<ci>gK_max</ci>
<apply>
<power/>
<ci>n</ci>
<cn cellml:units="dimensionless">4.0</cn>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="EK_calculation_eq">
<apply id="EK_calculation">
<eq/>
<ci>EK</ci>
<apply>
<minus/>
<ci>Er</ci>
<cn cellml:units="mV">12.0</cn>
</apply>
</apply>
</math>
</component>
<!--potassium_channel-->
<component cmeta:id="potassium_channel_n_gate" name="potassium_channel_n_gate">
<!-- Local units -->
<units name="pms">
<unit units="ms" exponent="-1"/>
</units>
<!-- Inputs -->
<variable units="ms" public_interface="in" private_interface="out" name="t"/>
<variable units="mV" public_interface="in" private_interface="out" name="Vm"/>
<variable units="mV" public_interface="in" private_interface="out" name="Er"/>
<!-- Outputs computed here -->
<variable units="dimensionless" public_interface="out" name="n" initial_value="0.3"/>
<!-- Local variables -->
<variable units="pms" name="alpha"/>
<variable units="pms" name="beta"/>
<variable units="mV" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="alpha_n_calculation_eq">
<apply id="alpha_n_calculation">
<eq/>
<ci>alpha</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="pms">0.01</cn>
<apply>
<minus/>
<cn cellml:units="mV">10.0</cn>
<ci>V</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.1 </cn>
<apply>
<minus/>
<cn cellml:units="mV">10.0</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="beta_n_calculation_eq">
<apply id="beta_n_calculation">
<eq/>
<ci>beta</ci>
<apply>
<times/>
<cn cellml:units="pms">0.125</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn cellml:units="mV">80.0</cn>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="dn_dt_eq">
<apply id="dn_dt">
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>n</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
<ci>n</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta</ci>
<ci>n</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="n_V_eq">
<apply id="n_V">
<eq/>
<ci>V</ci>
<apply>
<minus/>
<ci>Vm</ci>
<ci>Er</ci>
</apply>
</apply>
</math>
</component>
<!--potassium_channel_n_gate-->
<component cmeta:id="leak_channel" name="leak_channel">
<!-- Inputs -->
<variable units="mV" public_interface="in" private_interface="out" name="Vm"/>
<variable units="mV" public_interface="in" private_interface="out" name="Er"/>
<variable units="mSpmmsq" public_interface="in" private_interface="out" name="gleak_max"/>
<!-- Outputs computed here -->
<variable units="uApmmsq" public_interface="out" name="Ileak"/>
<!-- Local variables -->
<variable units="mV" name="Eleak"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Ileak_calculation_eq">
<apply id="Ileak_calculation">
<eq/>
<ci>Ileak</ci>
<apply>
<times/>
<ci>gleak_max</ci>
<apply>
<minus/>
<ci>Vm</ci>
<ci>Eleak</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Eleak_calculation_eq">
<apply id="Eleak_calculation">
<eq/>
<ci>Eleak</ci>
<apply>
<plus/>
<ci>Er</ci>
<cn cellml:units="mV">10.613</cn>
</apply>
</apply>
</math>
</component>
<!--leak_channel-->
<connection>
<map_components component_2="membrane" component_1="interface"/>
<map_variables variable_2="t" variable_1="t"/>
<map_variables variable_2="Cm" variable_1="Cm"/>
<map_variables variable_2="Er" variable_1="Er"/>
<map_variables variable_2="gNa_max" variable_1="gNa_max"/>
<map_variables variable_2="gK_max" variable_1="gK_max"/>
<map_variables variable_2="gleak_max" variable_1="gleak_max"/>
<map_variables variable_2="Istim" variable_1="Istim"/>
<map_variables variable_2="Vm" variable_1="Vm"/>
<map_variables variable_2="m" variable_1="m"/>
<map_variables variable_2="h" variable_1="h"/>
<map_variables variable_2="n" variable_1="n"/>
<map_variables variable_2="INa" variable_1="INa"/>
<map_variables variable_2="IK" variable_1="IK"/>
<map_variables variable_2="Ileak" variable_1="Ileak"/>
</connection>
<connection>
<map_components component_2="sodium_channel" component_1="membrane"/>
<map_variables variable_2="t" variable_1="t"/>
<map_variables variable_2="Er" variable_1="Er"/>
<map_variables variable_2="gNa_max" variable_1="gNa_max"/>
<map_variables variable_2="Vm" variable_1="Vm"/>
<map_variables variable_2="m_gate" variable_1="m"/>
<map_variables variable_2="h" variable_1="h"/>
<map_variables variable_2="INa" variable_1="INa"/>
</connection>
<connection>
<map_components component_2="sodium_channel_m_gate" component_1="sodium_channel"/>
<map_variables variable_2="t" variable_1="t"/>
<map_variables variable_2="Er" variable_1="Er"/>
<map_variables variable_2="Vm" variable_1="Vm"/>
<map_variables variable_2="m" variable_1="m_gate"/>
</connection>
<connection>
<map_components component_2="sodium_channel_h_gate" component_1="sodium_channel"/>
<map_variables variable_2="t" variable_1="t"/>
<map_variables variable_2="Er" variable_1="Er"/>
<map_variables variable_2="Vm" variable_1="Vm"/>
<map_variables variable_2="h" variable_1="h"/>
</connection>
<connection>
<map_components component_2="potassium_channel" component_1="membrane"/>
<map_variables variable_2="t" variable_1="t"/>
<map_variables variable_2="Er" variable_1="Er"/>
<map_variables variable_2="gK_max" variable_1="gK_max"/>
<map_variables variable_2="Vm" variable_1="Vm"/>
<map_variables variable_2="n" variable_1="n"/>
<map_variables variable_2="IK" variable_1="IK"/>
</connection>
<connection>
<map_components component_2="potassium_channel_n_gate" component_1="potassium_channel"/>
<map_variables variable_2="t" variable_1="t"/>
<map_variables variable_2="Er" variable_1="Er"/>
<map_variables variable_2="Vm" variable_1="Vm"/>
<map_variables variable_2="n" variable_1="n"/>
</connection>
<connection>
<map_components component_2="leak_channel" component_1="membrane"/>
<map_variables variable_2="Er" variable_1="Er"/>
<map_variables variable_2="gleak_max" variable_1="gleak_max"/>
<map_variables variable_2="Vm" variable_1="Vm"/>
<map_variables variable_2="Ileak" variable_1="Ileak"/>
</connection>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="interface">
<component_ref component="membrane">
<component_ref component="sodium_channel">
<component_ref component="sodium_channel_m_gate"/>
<component_ref component="sodium_channel_h_gate"/>
</component_ref>
<component_ref component="potassium_channel">
<component_ref component="potassium_channel_n_gate"/>
</component_ref>
<component_ref component="leak_channel"/>
</component_ref>
</component_ref>
</group>
<group>
<relationship_ref relationship="containment"/>
<component_ref component="membrane">
<component_ref component="sodium_channel">
<component_ref component="sodium_channel_m_gate"/>
<component_ref component="sodium_channel_h_gate"/>
</component_ref>
<component_ref component="potassium_channel">
<component_ref component="potassium_channel_n_gate"/>
</component_ref>
<component_ref component="leak_channel"/>
</component_ref>
</group>
<rdf:RDF>
<rdf:Seq rdf:about="rdf:#citationAuthorsSeq">
<rdf:li rdf:resource="rdf:#author1Vcard"/>
<rdf:li rdf:resource="rdf:#author2Vcard"/>
</rdf:Seq>
<rdf:Description rdf:about="rdf:#97221e0f-38d6-44d3-9139-0915b24e0805">
<rdf:value>
Calculation of the closing rate of the activation gate for the
potassium channel.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2069ade8-05f4-4ac3-8b61-3825fb83471e">
<rdf:value>
Calculation of the potassium current.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#360e8bd9-354f-4e18-9602-2d7c172fb788">
<rdf:value>
Calculation of the sodium channel's current equilibrium potential.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#beta_h_calculation_eq">
<cmeta:comment rdf:resource="rdf:#c617a128-348e-4d67-9e4a-7c00d98a59a6"/>
</rdf:Description>
<rdf:Description rdf:about="#interface">
<cmeta:comment rdf:resource="rdf:#1aa41f67-af3e-4665-abc2-3016c525c2d7"/>
</rdf:Description>
<rdf:Description rdf:about="#ENa_calculation_eq">
<cmeta:comment rdf:resource="rdf:#360e8bd9-354f-4e18-9602-2d7c172fb788"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#6a310dc0-299d-443c-9754-a3d2b3751ed2">
<dc:creator rdf:resource="rdf:#citationAuthorsSeq"/>
<dc:title>A quantitative description of membrane current and its application to conductance and excitation in nerve</dc:title>
<bqs:volume>117</bqs:volume>
<bqs:first_page>500</bqs:first_page>
<bqs:Journal rdf:resource="rdf:#88a878fe-067e-409a-82f0-336b4751d2ce"/>
<dcterms:issued rdf:resource="rdf:#c64902f3-3c52-4fe3-b963-8de7042482c0"/>
<bqs:last_page>544</bqs:last_page>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author2Vcard">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#author2VcardN"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author1Vcard">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#author1VcardN"/>
</rdf:Description>
<rdf:Description rdf:about="#gNa_calculation_eq">
<cmeta:comment rdf:resource="rdf:#206c34f0-3609-4107-83ce-553a1d4d0033"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7ed94e38-add3-411d-b22a-609d22061947">
<rdf:value>
This is the voltage dependent activation gate for the sodium
channel.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#Ileak_calculation_eq">
<cmeta:comment rdf:resource="rdf:#a245fb62-f072-41a7-acbf-301a38260e93"/>
</rdf:Description>
<rdf:Description rdf:about="#dn_dt_eq">
<cmeta:comment rdf:resource="rdf:#a3256a0c-40a9-4251-af11-f5b0515b6891"/>
</rdf:Description>
<rdf:Description rdf:about="">
<dcterms:created rdf:resource="rdf:#c15e62dc-7222-4dbc-b076-95eacf59b717"/>
<dc:creator rdf:resource="rdf:#ec976bfd-1119-441c-857d-c1d590d82ddd"/>
</rdf:Description>
<rdf:Description rdf:about="#alpha_n_calculation_eq">
<cmeta:comment rdf:resource="rdf:#a984b10a-2780-4e9c-acff-edb8e3bb30fb"/>
</rdf:Description>
<rdf:Description rdf:about="#INa_calculation_eq">
<cmeta:comment rdf:resource="rdf:#c0db5eec-4571-47ab-965e-93839a909728"/>
</rdf:Description>
<rdf:Description rdf:about="#Vm_diff_calculation_eq">
<cmeta:comment rdf:resource="rdf:#5f5b7f05-490e-43ae-9d0f-e8da76c23425"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#725c8afe-f091-4d91-b04e-5d69d803aed4">
<bqs:Pubmed_id>11773311</bqs:Pubmed_id>
<bqs:JournalArticle rdf:resource="rdf:#6a310dc0-299d-443c-9754-a3d2b3751ed2"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author2VcardN">
<vCard:Given>A</vCard:Given>
<vCard:Family>Huxley</vCard:Family>
<vCard:Other>F</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#206c34f0-3609-4107-83ce-553a1d4d0033">
<rdf:value>
Calculation of the sodium channel's current conductance based on
the activation and inactivation gates.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#5f5b7f05-490e-43ae-9d0f-e8da76c23425">
<rdf:value>
This is the main equation for the model, describing the dependency
of the time course of tranmembrane potential on the three ionic
currents plus any applied stimulus current.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#ec976bfd-1119-441c-857d-c1d590d82ddd">
<vCard:ORG rdf:resource="rdf:#52b5d41f-6334-4688-8e30-178823e5229d"/>
<vCard:EMAIL rdf:resource="rdf:#8486516d-83f5-4429-8ba8-b69e46596be7"/>
<vCard:N rdf:resource="rdf:#7c5bac4f-43a7-47d9-b701-98697532ca8d"/>
</rdf:Description>
<rdf:Description rdf:about="#beta_n_calculation_eq">
<cmeta:comment rdf:resource="rdf:#97221e0f-38d6-44d3-9139-0915b24e0805"/>
</rdf:Description>
<rdf:Description rdf:about="#membrane">
<cmeta:comment rdf:resource="rdf:#2e6fbe8c-b57d-48dd-8b83-64c090bce016"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#d042d5c8-76c9-48b8-b99b-7a6fc72a4f1a">
<rdf:value>This is a CellML version of the model published in 1952 by Hodgkin and Huxley on the electrical activation of squid axons.</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#5bd52e00-dbad-4ee2-ab2e-68584cf803cc">
<rdf:value>
The sodium channel is the first of three membrane bound ionic
channel proteins in this model. It is primarily responsible
for the upstroke of the action potential.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#8486516d-83f5-4429-8ba8-b69e46596be7">
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
<rdf:value>d.nickerson@auckland.ac.nz</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#16953998-ed7f-4d07-8fd0-396be1864840">
<rdf:value>
A small leakage current, made up by chloride and other ions, with a
constant conductance.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#sodium_channel_m_gate">
<cmeta:comment rdf:resource="rdf:#7ed94e38-add3-411d-b22a-609d22061947"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#c64902f3-3c52-4fe3-b963-8de7042482c0">
<dcterms:W3CDTF>1952-01-01</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#3f059b29-7155-4c9d-9b6d-bc70d21958ae">
<rdf:value>
Calculation of the opening rate of the activation gate of the sodium
channel.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#98fbc281-a0ae-4df1-a10d-689e023d64d9">
<rdf:value>
This is a dummy equation that we simply use to make grabbing the
value in CMISS much easier.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#d2e52a53-7b61-4fd5-8eaa-f13dd9a17db8">
<rdf:value>
Calculation of the equilibrium potential of the leak channel.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#dh_dt_eq">
<cmeta:comment rdf:resource="rdf:#cc96406c-d1f8-4d7f-bf97-264cd3d562bd"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a3256a0c-40a9-4251-af11-f5b0515b6891">
<rdf:value>
The rate of change in the activation gate of the potassium channel.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a0ac5b78-5653-430b-93ac-53a8cfc5f4e8">
<rdf:value>
Calculation of the potassium channel conductance.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a245fb62-f072-41a7-acbf-301a38260e93">
<rdf:value>
Calculation of the leakage current.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#alpha_m_calculation_eq">
<cmeta:comment rdf:resource="rdf:#3f059b29-7155-4c9d-9b6d-bc70d21958ae"/>
</rdf:Description>
<rdf:Description rdf:about="#potassium_channel_n_gate">
<cmeta:comment rdf:resource="rdf:#99d95ddb-2c92-484f-8314-e3ced2a42834"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#c4954a42-0d5d-41c7-abc0-b24e9be53794">
<rdf:value>
Calculation of the potassium channel equilibrium potential.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#c617a128-348e-4d67-9e4a-7c00d98a59a6">
<rdf:value>
The closing rate of the inactivation gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#sodium_channel_h_gate">
<cmeta:comment rdf:resource="rdf:#42aefda5-8a2a-4c16-84dd-174ab762429f"/>
</rdf:Description>
<rdf:Description rdf:about="#gK_calculation_eq">
<cmeta:comment rdf:resource="rdf:#a0ac5b78-5653-430b-93ac-53a8cfc5f4e8"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#c0db5eec-4571-47ab-965e-93839a909728">
<rdf:value>
Calculation of the sodium current.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1aa41f67-af3e-4665-abc2-3016c525c2d7">
<rdf:value>
We'll use this component as the `interface' to the model, all
other components are hidden via encapsulation in this component.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#sodium_channel">
<cmeta:comment rdf:resource="rdf:#5bd52e00-dbad-4ee2-ab2e-68584cf803cc"/>
</rdf:Description>
<rdf:Description rdf:about="#beta_m_calculation_eq">
<cmeta:comment rdf:resource="rdf:#803d5066-3967-40dd-844a-93a342265dfb"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author1VcardN">
<vCard:Given>A</vCard:Given>
<vCard:Family>Hodgkin</vCard:Family>
<vCard:Other>L</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#42aefda5-8a2a-4c16-84dd-174ab762429f">
<rdf:value>
This is the voltage dependent inactivation gate for the sodium
channel.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#IK_calculation_eq">
<cmeta:comment rdf:resource="rdf:#2069ade8-05f4-4ac3-8b61-3825fb83471e"/>
</rdf:Description>
<rdf:Description rdf:about="#1952_hodgkin_huxley">
<bqs:reference rdf:resource="rdf:#725c8afe-f091-4d91-b04e-5d69d803aed4"/>
<cmeta:comment rdf:resource="rdf:#d042d5c8-76c9-48b8-b99b-7a6fc72a4f1a"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a984b10a-2780-4e9c-acff-edb8e3bb30fb">
<rdf:value>
Calculation of the opening rate of the activation gate for the
potassium channel.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#IStim_for_cmiss_eq">
<cmeta:comment rdf:resource="rdf:#98fbc281-a0ae-4df1-a10d-689e023d64d9"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#52b5d41f-6334-4688-8e30-178823e5229d">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="#EK_calculation_eq">
<cmeta:comment rdf:resource="rdf:#c4954a42-0d5d-41c7-abc0-b24e9be53794"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#88a878fe-067e-409a-82f0-336b4751d2ce">
<dc:title>Journal of Physiology</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#cc96406c-d1f8-4d7f-bf97-264cd3d562bd">
<rdf:value>
The rate of change of the inactivation gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#803d5066-3967-40dd-844a-93a342265dfb">
<rdf:value>
Calculation of the closing rate of the activation gate of the sodium
channel.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#alpha_h_calculation_eq">
<cmeta:comment rdf:resource="rdf:#4e5a9a69-6ec0-490a-ac7a-386d14747f25"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7c5bac4f-43a7-47d9-b701-98697532ca8d">
<vCard:Given>David</vCard:Given>
<vCard:Family>Nickerson</vCard:Family>
<vCard:Other>P</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7493db27-66b9-496d-98e7-b7bc8fca632f">
<rdf:value>
The potassium channel is the second of three membrane bound ionic
channels defined by this model. It is primarily responsible for the
repolarisation phase of the action potential.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#potassium_channel">
<cmeta:comment rdf:resource="rdf:#7493db27-66b9-496d-98e7-b7bc8fca632f"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2e6fbe8c-b57d-48dd-8b83-64c090bce016">
<rdf:value>
The membrane component is the "real" parent component which
physically contains its child components. This component defines
the transmembrane potential.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#Eleak_calculation_eq">
<cmeta:comment rdf:resource="rdf:#d2e52a53-7b61-4fd5-8eaa-f13dd9a17db8"/>
</rdf:Description>
<rdf:Description rdf:about="#dm_dt_eq">
<cmeta:comment rdf:resource="rdf:#498240df-fe17-4929-93ea-c39b182e167a"/>
</rdf:Description>
<rdf:Description rdf:about="#leak_channel">
<cmeta:comment rdf:resource="rdf:#16953998-ed7f-4d07-8fd0-396be1864840"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#498240df-fe17-4929-93ea-c39b182e167a">
<rdf:value>
The rate of change of the activation gate of the sodium channel.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#99d95ddb-2c92-484f-8314-e3ced2a42834">
<rdf:value>
The voltage dependent activation gate for the potassium channel.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#4e5a9a69-6ec0-490a-ac7a-386d14747f25">
<rdf:value>
The opening rate of the inactivation gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#c15e62dc-7222-4dbc-b076-95eacf59b717">
<dcterms:W3CDTF>2003-01-31</dcterms:W3CDTF>
</rdf:Description>
</rdf:RDF>
</model>
