- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2006-08-21 04:36:25+12:00
- Desc:
- committing version03 of noble_1962
- Permanent Source URI:
- https://models.cellml.org/workspace/noble_1962/rawfile/85dd44826c6ba0b08cf4a1177de447aa32827a8a/noble_1962.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="noble_1962_version03" name="noble_1962_version03">
<!--
Below, we define some additional units for association with variables and
constants within the model. The identifiers are fairly self-explanatory.
-->
<units name="ms">
<unit units="second" prefix="milli"/>
</units>
<units name="per_ms">
<unit units="second" prefix="milli" exponent="-1"/>
</units>
<units name="mV">
<unit units="volt" prefix="milli"/>
</units>
<units name="per_mV">
<unit units="volt" prefix="milli" exponent="-1"/>
</units>
<units name="per_mV_ms">
<unit units="mV" exponent="-1"/>
<unit units="ms" exponent="-1"/>
</units>
<units name="mS_per_mm2">
<unit units="siemens" prefix="milli"/>
<unit units="metre" prefix="milli" exponent="-2"/>
</units>
<units name="uF_per_mm2">
<unit units="farad" prefix="micro"/>
<unit units="metre" prefix="milli" exponent="-2"/>
</units>
<units name="uA_per_mm2">
<unit units="ampere" prefix="micro"/>
<unit units="metre" prefix="milli" exponent="-2"/>
</units>
<component name="interface" cmeta:id="interface">
<!-- time is always a special case -->
<variable units="ms" public_interface="in" private_interface="out" name="time"/>
<!-- inputs -->
<variable units="uA_per_mm2" public_interface="in" private_interface="out" name="I_stim"/>
<variable units="mS_per_mm2" public_interface="in" private_interface="out" name="g_K_add"/>
<!-- outputs -->
</component>
<!--interface-->
<!--
The "membrane" component is really the `root' node of our model.
It defines the action potential variable "V" among other things.
-->
<component name="membrane" cmeta:id="membrane">
<variable units="mV" public_interface="out" name="V" initial_value="-73.8"/>
<variable units="uF_per_mm2" name="Cm" initial_value="0.12"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="uA_per_mm2" public_interface="in" name="i_Na"/>
<variable units="uA_per_mm2" public_interface="in" name="i_K"/>
<variable units="uA_per_mm2" public_interface="in" name="i_Leak"/>
<variable units="uA_per_mm2" public_interface="in" name="I_stim"/>
<!--
The membrane voltage (V) is calculated as an ordinary
differential equation in terms of the currents.
-->
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="membrane_voltage_diff_eq">
<apply id="membrane_voltage_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> V </ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>I_stim</ci>
<apply>
<plus/>
<ci> i_Na </ci>
<ci> i_K </ci>
<ci> i_Leak </ci>
</apply>
</apply>
<ci> Cm </ci>
</apply>
</apply>
</math>
<variable units="uA_per_mm2" 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>I_stim</ci>
</apply>
</math>
</component>
<component name="sodium_channel" cmeta:id="sodium_channel">
<variable units="uA_per_mm2" public_interface="out" name="i_Na"/>
<variable units="mS_per_mm2" name="g_Na_max" initial_value="4.0"/>
<variable units="mS_per_mm2" name="g_Na"/>
<variable units="mV" name="E_Na" initial_value="40.0"/>
<variable units="ms" public_interface="in" private_interface="out" name="time"/>
<variable units="mV" public_interface="in" private_interface="out" name="V"/>
<variable units="dimensionless" private_interface="in" name="m"/>
<variable units="dimensionless" private_interface="in" name="h"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="g_Na_calculation_eq">
<apply id="g_Na_calculation">
<eq/>
<ci> g_Na </ci>
<apply>
<times/>
<apply>
<power/>
<ci> m </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<ci> h </ci>
<ci> g_Na_max </ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="i_Na_calculation_eq">
<apply id="i_Na_calculation">
<eq/>
<ci> i_Na </ci>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci> g_Na_max </ci>
<apply>
<power/>
<ci> m </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<ci> h </ci>
</apply>
<cn cellml:units="mS_per_mm2">0.14e-2</cn>
</apply>
<apply>
<minus/>
<ci> V </ci>
<ci> E_Na </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_channel_m_gate" cmeta:id="sodium_channel_m_gate">
<variable units="dimensionless" public_interface="out" name="m" initial_value="0.05"/>
<variable units="per_ms" name="alpha_m"/>
<variable units="per_ms" name="beta_m"/>
<variable units="mV" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="alpha_m_calculation_eq">
<apply id="alpha_m_calculation">
<eq/>
<ci> alpha_m </ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_mV_ms"> 0.1 </cn>
<apply>
<minus/>
<apply>
<minus/>
<ci> V </ci>
</apply>
<cn cellml:units="mV"> 48.0 </cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci> V </ci>
</apply>
<cn cellml:units="mV"> 48.0 </cn>
</apply>
<cn cellml:units="mV"> 15.0 </cn>
</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_m </ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_mV_ms"> 0.12 </cn>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="mV"> 8.0 </cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="mV"> 8.0 </cn>
</apply>
<cn cellml:units="mV"> 5.0 </cn>
</apply>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</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> time </ci>
</bvar>
<ci> m </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> alpha_m </ci>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> m </ci>
</apply>
</apply>
<apply>
<times/>
<ci> beta_m </ci>
<ci> m </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_channel_h_gate" cmeta:id="sodium_channel_h_gate">
<variable units="dimensionless" public_interface="out" name="h" initial_value="0.785"/>
<variable units="per_ms" name="alpha_h"/>
<variable units="per_ms" name="beta_h"/>
<variable units="mV" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="alpha_h_calculation_eq">
<apply id="alpha_h_calculation">
<eq/>
<ci> alpha_h </ci>
<apply>
<times/>
<cn cellml:units="per_ms"> 0.17 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci> V </ci>
</apply>
<cn cellml:units="mV"> 90.0 </cn>
</apply>
<cn cellml:units="mV"> 20.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="beta_h_calculation_eq">
<apply id="beta_h_calculation">
<eq/>
<ci> beta_h </ci>
<apply>
<divide/>
<cn cellml:units="per_ms"> 1.0 </cn>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci> V </ci>
</apply>
<cn cellml:units="mV"> 42.0 </cn>
</apply>
<cn cellml:units="mV"> 10.0 </cn>
</apply>
</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> time </ci>
</bvar>
<ci> h </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> alpha_h </ci>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> h </ci>
</apply>
</apply>
<apply>
<times/>
<ci> beta_h </ci>
<ci> h </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="potassium_channel" cmeta:id="potassium_channel">
<variable units="uA_per_mm2" public_interface="out" name="i_K"/>
<variable units="mS_per_mm2" name="g_K1"/>
<variable units="mS_per_mm2" name="g_K2"/>
<variable units="mS_per_mm2" public_interface="in" name="g_K_add"/>
<variable units="ms" public_interface="in" private_interface="out" name="time"/>
<variable units="mV" public_interface="in" private_interface="out" name="V"/>
<variable units="dimensionless" private_interface="in" name="n"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="i_K_calculation_eq">
<apply id="i_K_calculation">
<eq/>
<ci> i_K </ci>
<apply>
<times/>
<apply>
<plus/>
<ci> g_K1 </ci>
<ci> g_K2 </ci>
<ci> g_K_add </ci>
</apply>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="mV"> 100.0 </cn>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="g_K1_calculation_eq">
<apply id="g_K1_calculation">
<eq/>
<ci> g_K1 </ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="mS_per_mm2"> 1.2e-2 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci> V </ci>
</apply>
<cn cellml:units="mV"> 90.0 </cn>
</apply>
<cn cellml:units="mV"> 50.0 </cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="mS_per_mm2"> 0.015e-2 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci> V </ci>
<cn cellml:units="mV"> 90.0 </cn>
</apply>
<cn cellml:units="mV"> 60.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="g_K2_calculation_eq">
<apply id="g_K2_calculation">
<eq/>
<ci> g_K2 </ci>
<apply>
<times/>
<cn cellml:units="mS_per_mm2"> 1.2e-2 </cn>
<apply>
<power/>
<ci> n </ci>
<cn cellml:units="dimensionless"> 4.0 </cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="potassium_channel_n_gate" cmeta:id="potassium_channel_n_gate">
<variable units="dimensionless" public_interface="out" name="n" initial_value="0.0935"/>
<variable units="per_ms" name="alpha_n"/>
<variable units="per_ms" name="beta_n"/>
<variable units="mV" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="alpha_n_calculation_eq">
<apply id="alpha_n_calculation">
<eq/>
<ci> alpha_n </ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_mV_ms"> 0.0001 </cn>
<apply>
<minus/>
<apply>
<minus/>
<ci> V </ci>
</apply>
<cn cellml:units="mV"> 50.0 </cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci> V </ci>
</apply>
<cn cellml:units="mV"> 50.0 </cn>
</apply>
<cn cellml:units="mV"> 10.0 </cn>
</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_n </ci>
<apply>
<times/>
<cn cellml:units="per_ms"> 0.002 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci> V </ci>
</apply>
<cn cellml:units="mV"> 90.0 </cn>
</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> time </ci>
</bvar>
<ci> n </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> alpha_n </ci>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> n </ci>
</apply>
</apply>
<apply>
<times/>
<ci> beta_n </ci>
<ci> n </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="leakage_current" cmeta:id="leakage_current">
<variable units="uA_per_mm2" public_interface="out" name="i_Leak"/>
<variable units="mS_per_mm2" name="g_L" initial_value="0.0"/>
<variable units="mV" name="E_L" initial_value="-60.0"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="mV" public_interface="in" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_Leak_calculation">
<eq/>
<ci> i_Leak </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">
<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="leakage_current"/>
</component_ref>
</group>
<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="leakage_current"/>
</component_ref>
</group>
<connection>
<map_components component_2="interface" component_1="membrane"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="I_stim" variable_1="I_stim"/>
</connection>
<connection>
<map_components component_2="interface" component_1="sodium_channel"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="interface" component_1="potassium_channel"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="g_K_add" variable_1="g_K_add"/>
</connection>
<connection>
<map_components component_2="interface" component_1="leakage_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="sodium_channel" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
</connection>
<connection>
<map_components component_2="potassium_channel" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_K" variable_1="i_K"/>
</connection>
<connection>
<map_components component_2="leakage_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Leak" variable_1="i_Leak"/>
</connection>
<connection>
<map_components component_2="sodium_channel_m_gate" component_1="sodium_channel"/>
<map_variables variable_2="m" variable_1="m"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="sodium_channel_h_gate" component_1="sodium_channel"/>
<map_variables variable_2="h" variable_1="h"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="potassium_channel_n_gate" component_1="potassium_channel"/>
<map_variables variable_2="n" variable_1="n"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<rdf:RDF>
<rdf:Seq rdf:about="rdf:#citationAuthorsSeq">
<rdf:li rdf:resource="rdf:#author1Vcard"/>
</rdf:Seq>
<rdf:Description rdf:about="#potassium_channel_n_gate">
<cmeta:comment rdf:resource="rdf:#2908aee8-6497-4ec7-ac21-f6d17da81e91"/>
</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="rdf:#ee3149d8-6726-4fa3-9285-bfa0729fbbbc">
<rdf:value>
The voltage-dependent inactivation gate for the sodium channel - the
h gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#g_K1_calculation_eq">
<cmeta:comment rdf:resource="rdf:#99da7685-88a0-4947-829b-ef60b97e48a8"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#27ea8cc2-ba25-4fb9-90a2-741d727cb8ff">
<dc:title>Journal of Physiology</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#5191b3f2-3e92-4ea6-8fe1-f64cde0d807f">
<rdf:value>
The main component of the model, containing the membrane currents
and defining the transmembrane potential.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#40a7165d-11f3-44ce-8a5e-084ed9288f7f">
<rdf:value>
This is a dummy equation that we simply use to make grabbing the
value easier.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#38cd39b9-4e98-4126-9afe-5097dbce8923">
<dc:creator rdf:resource="rdf:#a19270c3-372a-4ea9-a340-c9eb1bc5533a"/>
<rdf:value>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>
<rdf:Description rdf:about="rdf:#42f59d0c-4c3e-4dd1-929a-205dc5dfeb38">
<vCard:N rdf:resource="rdf:#7e861154-7a2f-4c95-b2b4-e15df0355138"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7d20d05b-ddc0-42c7-8075-c245232254f9">
<rdf:value>
The voltage-dependent activation gate for the sodium channel - the m
gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#f23f3305-4cdf-4780-a72c-4152aded0014">
<rdf:value>
The kinetics of the h gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#e197a437-3705-49f6-a928-be442a610184">
<dcterms:modified rdf:resource="rdf:#07d8ca47-6d44-4f55-a652-b9299ae05f0e"/>
<rdf:value>
Changed the model name so the model loads in the database easier.
</rdf:value>
<cmeta:modifier rdf:resource="rdf:#6a515533-c978-4e91-b090-12c3dfb316fd"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#157a064e-528c-45ae-9897-fb89f3866408">
<vCard:Given>David</vCard:Given>
<vCard:Family>Nickerson</vCard:Family>
<vCard:Other>P</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#5b12196b-c8ea-463b-b476-dba205a6572e">
<dcterms:W3CDTF>2001-12-18</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="#alpha_m_calculation_eq">
<cmeta:comment rdf:resource="rdf:#eedb48af-808f-49de-a39c-def7ad9e631a"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#59411310-010e-49e9-958b-90918b640813">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>Bioengineering Institute</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="rdf:#da15adff-5f91-43e0-966b-95c756ed72d8">
<vCard:N rdf:resource="rdf:#157a064e-528c-45ae-9897-fb89f3866408"/>
</rdf:Description>
<rdf:Description rdf:about="#beta_n_calculation_eq">
<cmeta:comment rdf:resource="rdf:#a655e156-1727-4693-8fac-8a54c7ea7ac1"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#bb55d16a-2a7d-4437-a121-428d4b6aff76">
<rdf:value>
The conductance of the second "type" of potassium channels present
in this model, using the Hodgkin Huxley 1952 type kinetics.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="">
<dc:publisher>
Bioengineering Institute, The University of Auckland.
</dc:publisher>
<cmeta:modification rdf:resource="rdf:#00ae7113-dc38-484a-b3a8-1cf724a2f7c7"/>
<cmeta:modification rdf:resource="rdf:#37c3fdbc-9546-445c-b0d3-32d92bb3218f"/>
<cmeta:modification rdf:resource="rdf:#61d2af92-bfd9-4f2b-ac92-6f8bdad0cc3b"/>
<cmeta:modification rdf:resource="rdf:#86bbbba0-d173-4b72-bf89-ab42d3780bcc"/>
<cmeta:modification rdf:resource="rdf:#e197a437-3705-49f6-a928-be442a610184"/>
<dcterms:created rdf:resource="rdf:#5b12196b-c8ea-463b-b476-dba205a6572e"/>
<dc:creator rdf:resource="rdf:#39b163a2-d88e-43fb-9e35-096cee07a629"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#61d2af92-bfd9-4f2b-ac92-6f8bdad0cc3b">
<dcterms:modified rdf:resource="rdf:#10772f0d-ec12-48b0-92cc-7bd12bb0cc2f"/>
<rdf:value>
Encapsulated the model under an interface component for use when
importing the model into a specific experiment or simulation.
</rdf:value>
<cmeta:modifier rdf:resource="rdf:#03d54a23-d046-4c30-8036-37b744e2b081"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2b769f33-6885-4693-a77e-ea53f6064c99">
<rdf:value>
The opening rate for the h gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1b161b67-2455-4f01-b2fc-0bbef6a0b6d8">
<rdf:value>
Here we define a component which encapsulates the entire model
and provides the interface to model boundary conditions and
outputs.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#ddd353fa-918b-4621-a11b-4368139d5210">
<bqs:Pubmed_id>14480151</bqs:Pubmed_id>
<bqs:JournalArticle rdf:resource="rdf:#285e74e5-ab5f-4b29-a2c6-97ef5c18006f"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#eedb48af-808f-49de-a39c-def7ad9e631a">
<rdf:value>
The opening rate for the m gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#beta_h_calculation_eq">
<cmeta:comment rdf:resource="rdf:#6c421cbd-3079-4a66-aebc-0cfd56945f6e"/>
</rdf:Description>
<rdf:Description rdf:about="#interface">
<cmeta:comment rdf:resource="rdf:#1b161b67-2455-4f01-b2fc-0bbef6a0b6d8"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#45dd41e6-100d-40a8-83c2-702e3f406911">
<rdf:value>
Calculation of the potassium current. The g_K_add conductance term
can be used to obtain a quiescent variant of the model by setting
its value to 0.001 mS/mm2.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#leakage_current">
<cmeta:comment rdf:resource="rdf:#6d7ec565-5377-4a05-9a5b-cd57a5611549"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#6d7ec565-5377-4a05-9a5b-cd57a5611549">
<rdf:value>
A non-specific background current attributed in part to chloride
ions. Can be turned on by specifying an appropriate value for the
conductance (~0.00075 mS/mm2).
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#g_Na_calculation_eq">
<cmeta:comment rdf:resource="rdf:#1ecee97c-4d6b-4b53-8de5-109417e08c03"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#6c421cbd-3079-4a66-aebc-0cfd56945f6e">
<rdf:value>
The closing rate for the h gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#d67fa98a-9b21-48e3-8024-6b0bee0a3648">
<rdf:value>
The modified sodium current from the 1952 Hodgkin Huxley model.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#sodium_channel_h_gate">
<cmeta:comment rdf:resource="rdf:#ee3149d8-6726-4fa3-9285-bfa0729fbbbc"/>
</rdf:Description>
<rdf:Description rdf:about="#beta_m_calculation_eq">
<cmeta:comment rdf:resource="rdf:#cd69e790-ff04-4ff5-a221-eaa328adc6e7"/>
</rdf:Description>
<rdf:Description rdf:about="#membrane_voltage_diff_eq">
<cmeta:comment rdf:resource="rdf:#2b091a82-53bd-46fd-a218-ed423465e5a1"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#533fa072-c944-44ed-8b62-ae35f1797e43">
<vCard:Given>Denis</vCard:Given>
<vCard:Family>Noble</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="#dn_dt_eq">
<cmeta:comment rdf:resource="rdf:#b76443c8-b26b-4e96-8b02-4ae02620e485"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#9abd1696-1566-4a1d-9c1a-fa3cfca7d13b">
<dcterms:W3CDTF>2002-02-28</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#cd69e790-ff04-4ff5-a221-eaa328adc6e7">
<rdf:value>
The closing rate for the m gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#25d2ead5-78e4-4b85-bab2-0256bf36f9d0">
<vCard:Given>Autumn</vCard:Given>
<vCard:Family>Cuellar</vCard:Family>
<vCard:Other>A</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#31e80b61-f392-4d0f-a2b0-25b384229a7f">
<rdf:value>
The kinetics of the m gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#86bbbba0-d173-4b72-bf89-ab42d3780bcc">
<dcterms:modified rdf:resource="rdf:#2303d80d-efd2-48a5-91d4-eef207a2974f"/>
<rdf:value>
Changed units and added stimulus current.
</rdf:value>
<cmeta:modifier rdf:resource="rdf:#da15adff-5f91-43e0-966b-95c756ed72d8"/>
</rdf:Description>
<rdf:Description rdf:about="#i_Na_calculation_eq">
<cmeta:comment rdf:resource="rdf:#0aa08682-4fba-4dd7-a19e-7f4f29219712"/>
</rdf:Description>
<rdf:Description rdf:about="#dm_dt_eq">
<cmeta:comment rdf:resource="rdf:#31e80b61-f392-4d0f-a2b0-25b384229a7f"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#07d8ca47-6d44-4f55-a652-b9299ae05f0e">
<dcterms:W3CDTF>2003-04-05</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#285e74e5-ab5f-4b29-a2c6-97ef5c18006f">
<dc:creator rdf:resource="rdf:#citationAuthorsSeq"/>
<dc:title>A Modification of the Hodgkin-Huxley Equations Applicable to Purkinje Fibre Action and Pace-maker Potentials</dc:title>
<bqs:volume>160</bqs:volume>
<bqs:first_page>317</bqs:first_page>
<bqs:Journal rdf:resource="rdf:#27ea8cc2-ba25-4fb9-90a2-741d727cb8ff"/>
<dcterms:issued rdf:resource="rdf:#b6c5ded8-b966-4cbd-8ba6-9eaafe06dbd8"/>
<bqs:last_page>352</bqs:last_page>
</rdf:Description>
<rdf:Description rdf:about="#alpha_h_calculation_eq">
<cmeta:comment rdf:resource="rdf:#2b769f33-6885-4693-a77e-ea53f6064c99"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#8fce5a52-ba5d-4045-a71a-f2a02ab8f51a">
<rdf:value>
The opening rate for the n gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#dh_dt_eq">
<cmeta:comment rdf:resource="rdf:#f23f3305-4cdf-4780-a72c-4152aded0014"/>
</rdf:Description>
<rdf:Description rdf:about="#IStim_for_cmiss_eq">
<cmeta:comment rdf:resource="rdf:#40a7165d-11f3-44ce-8a5e-084ed9288f7f"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#b76443c8-b26b-4e96-8b02-4ae02620e485">
<rdf:value>
The kinetics of the n gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#potassium_channel">
<cmeta:comment rdf:resource="rdf:#d17354dc-f92c-4bba-8d2d-ad7c9cd6a6b6"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#6a515533-c978-4e91-b090-12c3dfb316fd">
<vCard:N rdf:resource="rdf:#25d2ead5-78e4-4b85-bab2-0256bf36f9d0"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#37c3fdbc-9546-445c-b0d3-32d92bb3218f">
<dcterms:modified rdf:resource="rdf:#9abd1696-1566-4a1d-9c1a-fa3cfca7d13b"/>
<rdf:value>
Corrected membrane_voltage_diff_eq.
</rdf:value>
<cmeta:modifier rdf:resource="rdf:#1915506b-ea68-4a9e-a129-ed9a47839e6f"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a655e156-1727-4693-8fac-8a54c7ea7ac1">
<rdf:value>
The closing rate for the n gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#4dcf8703-5825-475c-bb0b-21b293137954">
<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>May</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="#membrane">
<cmeta:comment rdf:resource="rdf:#5191b3f2-3e92-4ea6-8fe1-f64cde0d807f"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2b091a82-53bd-46fd-a218-ed423465e5a1">
<rdf:value>
The kinetics of the transmembrane potential.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#10772f0d-ec12-48b0-92cc-7bd12bb0cc2f">
<dcterms:W3CDTF>2004-12-21</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#5f1e0e8c-565d-4f3d-8b8b-c751add81a5f">
<vCard:Given>David</vCard:Given>
<vCard:Family>Nickerson</vCard:Family>
<vCard:Other>P</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#f4bfca7e-2cfb-4d3a-8858-6287a572bc27">
<bqs:Person rdf:resource="rdf:#785bec12-38c2-4b7e-a5f0-249357ec0957"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a19270c3-372a-4ea9-a340-c9eb1bc5533a">
<vCard:FN>Catherine Lloyd</vCard:FN>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1ecee97c-4d6b-4b53-8de5-109417e08c03">
<rdf:value>
Calculation of the channel conductance.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#39091e4c-c697-4c13-ab7a-2be7a65441ce">
<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>May</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#d17354dc-f92c-4bba-8d2d-ad7c9cd6a6b6">
<rdf:value>
The modified Hodgkin Huxley 1952 potassium channel.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#0aa08682-4fba-4dd7-a19e-7f4f29219712">
<rdf:value>
Calculation of the channel current.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#b33b08cf-e0be-4c98-8bab-1f065d8a8b19">
<dcterms:W3CDTF>2002-01-20</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="#alpha_n_calculation_eq">
<cmeta:comment rdf:resource="rdf:#8fce5a52-ba5d-4045-a71a-f2a02ab8f51a"/>
</rdf:Description>
<rdf:Description rdf:about="#noble_1962_version03">
<dc:title>
The 1962 Noble Model of Purkinje Fibre Action and Pace-maker Potentials
</dc:title>
<cmeta:comment rdf:resource="rdf:#38cd39b9-4e98-4126-9afe-5097dbce8923"/>
<bqs:reference rdf:resource="rdf:#ddd353fa-918b-4621-a11b-4368139d5210"/>
<cmeta:species>Mammalia</cmeta:species>
</rdf:Description>
<rdf:Description rdf:about="rdf:#785bec12-38c2-4b7e-a5f0-249357ec0957">
<vCard:N rdf:resource="rdf:#533fa072-c944-44ed-8b62-ae35f1797e43"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#b6c5ded8-b966-4cbd-8ba6-9eaafe06dbd8">
<dcterms:W3CDTF>1962-01-01</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="#g_K2_calculation_eq">
<cmeta:comment rdf:resource="rdf:#bb55d16a-2a7d-4437-a121-428d4b6aff76"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#03d54a23-d046-4c30-8036-37b744e2b081">
<vCard:N rdf:resource="rdf:#5f1e0e8c-565d-4f3d-8b8b-c751add81a5f"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#39b163a2-d88e-43fb-9e35-096cee07a629">
<vCard:ORG rdf:resource="rdf:#59411310-010e-49e9-958b-90918b640813"/>
<vCard:EMAIL rdf:resource="rdf:#a86c0d87-4a46-4367-9750-19b346785c9d"/>
<vCard:N rdf:resource="rdf:#4dcf8703-5825-475c-bb0b-21b293137954"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2303d80d-efd2-48a5-91d4-eef207a2974f">
<dcterms:W3CDTF>2003-04-05</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2908aee8-6497-4ec7-ac21-f6d17da81e91">
<rdf:value>
The voltage-dependent activation gate for the potassium channel -
the n gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#sodium_channel_m_gate">
<cmeta:comment rdf:resource="rdf:#7d20d05b-ddc0-42c7-8075-c245232254f9"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#99da7685-88a0-4947-829b-ef60b97e48a8">
<rdf:value>
The conductance of the first "type" of potassium channels present in
this model, using an empirical formaulation.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a86c0d87-4a46-4367-9750-19b346785c9d">
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
<rdf:value>c.lloyd@auckland.ac.nz</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author1VcardN">
<vCard:Given>Denis</vCard:Given>
<vCard:Family>Noble</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1915506b-ea68-4a9e-a129-ed9a47839e6f">
<vCard:N rdf:resource="rdf:#39091e4c-c697-4c13-ab7a-2be7a65441ce"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#00ae7113-dc38-484a-b3a8-1cf724a2f7c7">
<dcterms:modified rdf:resource="rdf:#b33b08cf-e0be-4c98-8bab-1f065d8a8b19"/>
<rdf:value>
Updated metadata to conform to the 16/01/2002 CellML Metadata 1.0
Specification.
</rdf:value>
<cmeta:modifier rdf:resource="rdf:#42f59d0c-4c3e-4dd1-929a-205dc5dfeb38"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7e861154-7a2f-4c95-b2b4-e15df0355138">
<vCard:Given>Autumn</vCard:Given>
<vCard:Family>Cuellar</vCard:Family>
<vCard:Other>A.</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="#sodium_channel">
<cmeta:comment rdf:resource="rdf:#d67fa98a-9b21-48e3-8024-6b0bee0a3648"/>
</rdf:Description>
<rdf:Description rdf:about="#i_K_calculation_eq">
<cmeta:comment rdf:resource="rdf:#45dd41e6-100d-40a8-83c2-702e3f406911"/>
</rdf:Description>
</rdf:RDF>
</model>
