- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2006-08-21 04:47:50+12:00
- Desc:
- committing version02 of noble_1962
- Permanent Source URI:
- https://models.cellml.org/workspace/noble_1962/rawfile/3a91d413131d3477fcd0f690ebbd6c085dbb6cca/noble_1962.cellml
<?xml version='1.0' encoding='utf-8'?>
<!-- FILE : noble_model_1962.xml
CREATED : 18th December 2001
LAST MODIFIED : 5th April 2003
AUTHOR : Catherine Lloyd
Department of Engineering Science
The University of Auckland
MODEL STATUS : This model conforms to the CellML 1.0 Specification released on
10th August 2001, and the working draft CellML Metadata 1.0 Specification released on 16th January 2002.
DESCRIPTION : This file contains a CellML description of Noble's 1962 mathematical model of long lasting action and pace-maker potentials of the Purkinje fibres of the heart.
CHANGES:
20/01/2002 - AAC - updated metadata to conform to 16/01/2002 CellML Metadata
1.0 Specification.
28/02/2002 - CML - Corrected membrane_voltage_diff_eq.
05/04/2003 - AAC - Changed the model name so the model loads in the database
easier.
--><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_version02" name="noble_1962_version02">
<!--
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>
<!--
The "environment" component is used to declare variables that are used by
all or most of the other components, in this case just "time".
-->
<component cmeta:id="environment" name="environment">
<variable units="ms" public_interface="out" name="time"/>
</component>
<!--
The "membrane" component is really the `root' node of our model.
It defines the action potential variable "V" among other things.
-->
<component cmeta:id="membrane" name="membrane">
<variable units="mV" public_interface="out" name="V" initial_value="-78.3"/>
<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" 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 cmeta:id="sodium_channel" name="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 cmeta:id="sodium_channel_m_gate" name="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 cmeta:id="sodium_channel_h_gate" name="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 cmeta:id="potassium_channel" name="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" intiial_value="0.0" 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 cmeta:id="potassium_channel_n_gate" name="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 cmeta:id="leakage_current" name="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="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>
</group>
<connection>
<map_components component_2="environment" component_1="membrane"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sodium_channel"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="potassium_channel"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" 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="rdf:#729bd358-9396-439f-ac95-8268901a20a6">
<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:#09b5f6e1-1b94-4b1f-8bdc-9213c81ceba8">
<vCard:ORG rdf:resource="rdf:#e6a49153-079b-4e3c-a6f5-e2706f69b806"/>
<vCard:EMAIL rdf:resource="rdf:#820a0479-25c9-46da-8410-645709bb1763"/>
<vCard:N rdf:resource="rdf:#22f85c07-aa75-4b65-96f4-3e2c411c05db"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#4f91a68a-900b-4aa2-9595-81361940c1b4">
<rdf:value>
The kinetics of the n gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#90dbd578-3f37-423e-a68a-0e27258f4591">
<dcterms:modified rdf:resource="rdf:#690a2e66-80d4-417c-9193-4632611e2615"/>
<rdf:value>
Corrected membrane_voltage_diff_eq.
</rdf:value>
<cmeta:modifier rdf:resource="rdf:#f9eb5e89-4512-4d1e-8430-343bfc5a2d4f"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1e542240-aa20-4c6f-93a6-d9798a14181b">
<rdf:value>
The modified sodium current from the 1952 Hodgkin Huxley model.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#d0583dc4-ffec-4d52-ac65-8efe0d5e6ca6">
<vCard:N rdf:resource="rdf:#b7c5121c-a97d-4955-9b56-3f237601e8c9"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#b19e532d-c709-458a-b587-d548ac2b362a">
<rdf:value>
The voltage-dependent activation gate for the sodium channel - the m
gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#f9214f59-a161-4dd2-b982-ac92d28e8b65">
<rdf:value>
The closing rate for the m gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#g_Na_calculation_eq">
<cmeta:comment rdf:resource="rdf:#3e64f866-fa59-447e-aead-41bab3cc076a"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#91658d6a-652f-41a5-b442-0432cdbc6724">
<vCard:Given>David</vCard:Given>
<vCard:Family>Nickerson</vCard:Family>
<vCard:Other>P</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#b7c5121c-a97d-4955-9b56-3f237601e8c9">
<vCard:Given>Autumn</vCard:Given>
<vCard:Family>Cuellar</vCard:Family>
<vCard:Other>A</vCard:Other>
</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:#972265e2-987b-4f0a-86af-0e1751726292">
<dc:creator rdf:resource="rdf:#ee878bf4-162f-4eb6-b7ec-5997075b14ec"/>
<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="#noble_1962_version02">
<dc:title>
The 1962 Noble Model of Purkinje Fibre Action and Pace-maker Potentials
</dc:title>
<cmeta:comment rdf:resource="rdf:#972265e2-987b-4f0a-86af-0e1751726292"/>
<bqs:reference rdf:resource="rdf:#10f2f937-2f13-4d0b-a3e6-6010e3312ea6"/>
<cmeta:species>Mammalia</cmeta:species>
</rdf:Description>
<rdf:Description rdf:about="#membrane_voltage_diff_eq">
<cmeta:comment rdf:resource="rdf:#b03643b4-9dbe-40d4-9826-4862e4ca4ecc"/>
</rdf:Description>
<rdf:Description rdf:about="#g_K1_calculation_eq">
<cmeta:comment rdf:resource="rdf:#729bd358-9396-439f-ac95-8268901a20a6"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#3bfe771f-a2e3-4876-8b8d-e5fe72112dc8">
<dcterms:W3CDTF>2001-12-18</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#4a632604-2775-496d-a0be-cbb2ab1dac1f">
<dcterms:modified rdf:resource="rdf:#2c044ddc-7779-4d59-bc24-c9a0d0eda999"/>
<rdf:value>
Updated metadata to conform to the 16/01/2002 CellML Metadata 1.0
Specification.
</rdf:value>
<cmeta:modifier rdf:resource="rdf:#52d19033-645d-4a2e-ac6b-b1ca115c4b57"/>
</rdf:Description>
<rdf:Description rdf:about="">
<dc:publisher>
The University of Auckland, Bioengineering Research Group
</dc:publisher>
<cmeta:modification rdf:resource="rdf:#4a632604-2775-496d-a0be-cbb2ab1dac1f"/>
<cmeta:modification rdf:resource="rdf:#90dbd578-3f37-423e-a68a-0e27258f4591"/>
<cmeta:modification rdf:resource="rdf:#9e4947eb-a0eb-45a9-b466-ecc0cc92e50c"/>
<cmeta:modification rdf:resource="rdf:#f389acb6-636f-402a-9dce-7d82a90ef237"/>
<dcterms:created rdf:resource="rdf:#3bfe771f-a2e3-4876-8b8d-e5fe72112dc8"/>
<dc:creator rdf:resource="rdf:#09b5f6e1-1b94-4b1f-8bdc-9213c81ceba8"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#f402040a-1317-4f37-a51c-5389c6e7e45b">
<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="rdf:#e6a49153-079b-4e3c-a6f5-e2706f69b806">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>The Bioengineering Research Group</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="rdf:#3c7b3f8f-f8db-4cdb-bd42-eff8069efcf4">
<vCard:N rdf:resource="rdf:#91658d6a-652f-41a5-b442-0432cdbc6724"/>
</rdf:Description>
<rdf:Description rdf:about="#beta_h_calculation_eq">
<cmeta:comment rdf:resource="rdf:#dbee766b-9d97-4566-afe5-66f5e51e23c6"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2638e8ea-4da4-43b5-b2e1-4d6dcfd52f4f">
<rdf:value>
The kinetics of the h gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#IStim_for_cmiss_eq">
<cmeta:comment rdf:resource="rdf:#f70e2ada-8e7e-42b6-8106-fc6e45491280"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#b03643b4-9dbe-40d4-9826-4862e4ca4ecc">
<rdf:value>
The kinetics of the transmembrane potential.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#fcd04feb-46ea-4d07-ae53-8dfd06020d76">
<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="#i_K_calculation_eq">
<cmeta:comment rdf:resource="rdf:#e62da2ba-02e0-40af-8f05-9f48a459ca22"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#f00d9f15-4a8f-4250-ac44-65c242a0f21f">
<rdf:value>
The opening rate for the h gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#6d2720cd-a304-468d-840c-2f24a340d86a">
<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:#e786d9b7-9878-48c7-ab1f-f65f23518601"/>
<dcterms:issued rdf:resource="rdf:#45710e0a-ad43-4c8f-92e6-d5e588602090"/>
<bqs:last_page>352</bqs:last_page>
</rdf:Description>
<rdf:Description rdf:about="rdf:#c3d2b537-087c-400d-9f45-e48197208029">
<dcterms:W3CDTF>2003-04-05</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#4a04dcee-dd77-4a23-a961-5d6515f51875">
<dcterms:W3CDTF>2003-04-05</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#22f85c07-aa75-4b65-96f4-3e2c411c05db">
<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>May</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#518e8048-8b0a-43b5-9ede-d9e7a272dc5e">
<vCard:Given>Autumn</vCard:Given>
<vCard:Family>Cuellar</vCard:Family>
<vCard:Other>A.</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#b19f8ad8-e549-4077-8f66-b55d0a16601e">
<rdf:value>
Calculation of the channel current.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#e786d9b7-9878-48c7-ab1f-f65f23518601">
<dc:title>Journal of Physiology</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#dn_dt_eq">
<cmeta:comment rdf:resource="rdf:#4f91a68a-900b-4aa2-9595-81361940c1b4"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#690a2e66-80d4-417c-9193-4632611e2615">
<dcterms:W3CDTF>2002-02-28</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#45710e0a-ad43-4c8f-92e6-d5e588602090">
<dcterms:W3CDTF>1962-01-01</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="#potassium_channel_n_gate">
<cmeta:comment rdf:resource="rdf:#ad758bf3-74a1-40d5-8cf5-aa60d3c4b066"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#820a0479-25c9-46da-8410-645709bb1763">
<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:#2ebc3c90-0886-4b84-82c1-fd4339d6c3a0">
<rdf:value>
The kinetics of the m gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#ad758bf3-74a1-40d5-8cf5-aa60d3c4b066">
<rdf:value>
The voltage-dependent activation gate for the potassium channel -
the n gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#0dbc2c42-9775-4695-8949-e30e99099f93">
<vCard:Given>Denis</vCard:Given>
<vCard:Family>Noble</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="#g_K2_calculation_eq">
<cmeta:comment rdf:resource="rdf:#fcd04feb-46ea-4d07-ae53-8dfd06020d76"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#4a0ba708-8b30-4885-a816-fbedd13f8694">
<bqs:Person rdf:resource="rdf:#bfea0000-699a-417c-93d8-8cfd4b1c323e"/>
</rdf:Description>
<rdf:Description rdf:about="#leakage_current">
<cmeta:comment rdf:resource="rdf:#f402040a-1317-4f37-a51c-5389c6e7e45b"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#3e64f866-fa59-447e-aead-41bab3cc076a">
<rdf:value>
Calculation of the channel conductance.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#e7229a52-4ee3-4003-999a-5e807bbf02a1">
<rdf:value>
The voltage-dependent inactivation gate for the sodium channel - the
h gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#52d19033-645d-4a2e-ac6b-b1ca115c4b57">
<vCard:N rdf:resource="rdf:#518e8048-8b0a-43b5-9ede-d9e7a272dc5e"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#69f6a38a-7e3b-4178-82cc-4e139d03d338">
<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:#2827a6c4-29e9-4222-9c94-9967182218d9">
<rdf:value>
The opening rate for the m gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#ee878bf4-162f-4eb6-b7ec-5997075b14ec">
<vCard:FN>Catherine Lloyd</vCard:FN>
</rdf:Description>
<rdf:Description rdf:about="rdf:#10f2f937-2f13-4d0b-a3e6-6010e3312ea6">
<bqs:Pubmed_id>14480151</bqs:Pubmed_id>
<bqs:JournalArticle rdf:resource="rdf:#6d2720cd-a304-468d-840c-2f24a340d86a"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#f70e2ada-8e7e-42b6-8106-fc6e45491280">
<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="#sodium_channel_m_gate">
<cmeta:comment rdf:resource="rdf:#b19e532d-c709-458a-b587-d548ac2b362a"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#dbee766b-9d97-4566-afe5-66f5e51e23c6">
<rdf:value>
The closing rate for the h gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#alpha_h_calculation_eq">
<cmeta:comment rdf:resource="rdf:#f00d9f15-4a8f-4250-ac44-65c242a0f21f"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author1VcardN">
<vCard:Given>Denis</vCard:Given>
<vCard:Family>Noble</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="#dm_dt_eq">
<cmeta:comment rdf:resource="rdf:#2ebc3c90-0886-4b84-82c1-fd4339d6c3a0"/>
</rdf:Description>
<rdf:Description rdf:about="#membrane">
<cmeta:comment rdf:resource="rdf:#69f6a38a-7e3b-4178-82cc-4e139d03d338"/>
</rdf:Description>
<rdf:Description rdf:about="#sodium_channel">
<cmeta:comment rdf:resource="rdf:#1e542240-aa20-4c6f-93a6-d9798a14181b"/>
</rdf:Description>
<rdf:Description rdf:about="#beta_n_calculation_eq">
<cmeta:comment rdf:resource="rdf:#9a30e413-1e48-4e9e-9f57-452233c7cf24"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#f389acb6-636f-402a-9dce-7d82a90ef237">
<dcterms:modified rdf:resource="rdf:#c3d2b537-087c-400d-9f45-e48197208029"/>
<rdf:value>
Changed units and added stimulus current.
</rdf:value>
<cmeta:modifier rdf:resource="rdf:#3c7b3f8f-f8db-4cdb-bd42-eff8069efcf4"/>
</rdf:Description>
<rdf:Description rdf:about="#alpha_m_calculation_eq">
<cmeta:comment rdf:resource="rdf:#2827a6c4-29e9-4222-9c94-9967182218d9"/>
</rdf:Description>
<rdf:Description rdf:about="#beta_m_calculation_eq">
<cmeta:comment rdf:resource="rdf:#f9214f59-a161-4dd2-b982-ac92d28e8b65"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#9a30e413-1e48-4e9e-9f57-452233c7cf24">
<rdf:value>
The closing rate for the n gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#bfea0000-699a-417c-93d8-8cfd4b1c323e">
<vCard:N rdf:resource="rdf:#0dbc2c42-9775-4695-8949-e30e99099f93"/>
</rdf:Description>
<rdf:Description rdf:about="#potassium_channel">
<cmeta:comment rdf:resource="rdf:#b304af12-e5fa-4791-b9d7-c87ca39fbfd1"/>
</rdf:Description>
<rdf:Description rdf:about="#alpha_n_calculation_eq">
<cmeta:comment rdf:resource="rdf:#0e493730-b2d9-428d-a976-3d6ebed7cb81"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#e62da2ba-02e0-40af-8f05-9f48a459ca22">
<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="rdf:#f9eb5e89-4512-4d1e-8430-343bfc5a2d4f">
<vCard:N rdf:resource="rdf:#1ebb0a52-8432-4535-b28a-c6fa953ab008"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#b304af12-e5fa-4791-b9d7-c87ca39fbfd1">
<rdf:value>
The modified Hodgkin Huxley 1952 potassium channel.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#0e493730-b2d9-428d-a976-3d6ebed7cb81">
<rdf:value>
The opening rate for the n gate.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#i_Na_calculation_eq">
<cmeta:comment rdf:resource="rdf:#b19f8ad8-e549-4077-8f66-b55d0a16601e"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#9e4947eb-a0eb-45a9-b466-ecc0cc92e50c">
<dcterms:modified rdf:resource="rdf:#4a04dcee-dd77-4a23-a961-5d6515f51875"/>
<rdf:value>
Changed the model name so the model loads in the database easier.
</rdf:value>
<cmeta:modifier rdf:resource="rdf:#d0583dc4-ffec-4d52-ac65-8efe0d5e6ca6"/>
</rdf:Description>
<rdf:Description rdf:about="#dh_dt_eq">
<cmeta:comment rdf:resource="rdf:#2638e8ea-4da4-43b5-b2e1-4d6dcfd52f4f"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1ebb0a52-8432-4535-b28a-c6fa953ab008">
<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>May</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2c044ddc-7779-4d59-bc24-c9a0d0eda999">
<dcterms:W3CDTF>2002-01-20</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="#sodium_channel_h_gate">
<cmeta:comment rdf:resource="rdf:#e7229a52-4ee3-4003-999a-5e807bbf02a1"/>
</rdf:Description>
</rdf:RDF>
</model>
