Location: A review of cardiac cellular electrophysiology models @ ae7a0b93f4ee / models / 1962_noble / 1962_noble.xml

Author:
David Nickerson <david.nickerson@gmail.com>
Date:
2021-09-16 01:20:40+12:00
Desc:
Upadte jupyter notebook with MNT and DFN comparison figure
Permanent Source URI:
https://models.fieldml.org/workspace/a1/rawfile/ae7a0b93f4ee5fda3d81ba97eb459f958b2819c9/models/1962_noble/1962_noble.xml

<?xml version='1.0' encoding='UTF-8'?>
<model cmeta:id="noble_model_1962" name="noble_model_1962" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
    <!--
    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 prefix="milli" units="second"/>
    </units>
    <units name="per_ms">
        <unit exponent="-1" prefix="milli" units="second"/>
    </units>
    <units name="mV">
        <unit prefix="milli" units="volt"/>
    </units>
    <units name="per_mV">
        <unit exponent="-1" prefix="milli" units="volt"/>
    </units>
    <units name="per_mV_ms">
        <unit exponent="-1" units="mV"/>
        <unit exponent="-1" units="ms"/>
    </units>
    <units name="mS_per_mm2">
        <unit prefix="milli" units="siemens"/>
        <unit exponent="-2" prefix="milli" units="metre"/>
    </units>
    <units name="uF_per_mm2">
        <unit prefix="micro" units="farad"/>
        <unit exponent="-2" prefix="milli" units="metre"/>
    </units>
    <units name="uA_per_mm2">
        <unit prefix="micro" units="ampere"/>
        <unit exponent="-2" prefix="milli" units="metre"/>
    </units>
    <component cmeta:id="interface" name="interface">
        <!-- time is always a special case -->
        <variable name="time" private_interface="out" public_interface="in" units="ms"/>
        <!-- inputs -->
        <variable name="I_stim" private_interface="out" public_interface="in" units="uA_per_mm2"/>
        <variable name="g_K_add" private_interface="out" public_interface="in" units="mS_per_mm2"/>
        <!-- outputs -->
        <variable name="V" private_interface="in" public_interface="out" units="mV"/>
    </component>
    <!--interface-->
    <!--
    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 cmeta:id="Vm" initial_value="-73.8" name="V" public_interface="out" units="mV"/>
        <variable initial_value="0.12" name="Cm" units="uF_per_mm2"/>
        <variable name="time" public_interface="in" units="ms"/>
        <variable name="i_Na" public_interface="in" units="uA_per_mm2"/>
        <variable name="i_K" public_interface="in" units="uA_per_mm2"/>
        <variable name="i_Leak" public_interface="in" units="uA_per_mm2"/>
        <variable name="I_stim" public_interface="in" units="uA_per_mm2"/>
        <!--
      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">
            <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 name="IStimC" public_interface="out" units="uA_per_mm2"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <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 name="i_Na" public_interface="out" units="uA_per_mm2"/>
        <variable initial_value="4.0" name="g_Na_max" units="mS_per_mm2"/>
        <variable name="g_Na" units="mS_per_mm2"/>
        <variable initial_value="40.0" name="E_Na" units="mV"/>
        <variable name="time" private_interface="out" public_interface="in" units="ms"/>
        <variable name="V" private_interface="out" public_interface="in" units="mV"/>
        <variable name="m" private_interface="in" units="dimensionless"/>
        <variable name="h" private_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply 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>
            <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" type="e-notation">0.14<sep/>-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 initial_value="0.05" name="m" public_interface="out" units="dimensionless"/>
        <variable name="alpha_m" units="per_ms"/>
        <variable name="beta_m" units="per_ms"/>
        <variable name="V" public_interface="in" units="mV"/>
        <variable name="time" public_interface="in" units="ms"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <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>
            <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>
            <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 initial_value="0.785" name="h" public_interface="out" units="dimensionless"/>
        <variable name="alpha_h" units="per_ms"/>
        <variable name="beta_h" units="per_ms"/>
        <variable name="V" public_interface="in" units="mV"/>
        <variable name="time" public_interface="in" units="ms"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <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>
            <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>
            <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 name="i_K" public_interface="out" units="uA_per_mm2"/>
        <variable name="g_K1" units="mS_per_mm2"/>
        <variable name="g_K2" units="mS_per_mm2"/>
        <variable name="g_K_add" public_interface="in" units="mS_per_mm2"/>
        <variable name="time" private_interface="out" public_interface="in" units="ms"/>
        <variable name="V" private_interface="out" public_interface="in" units="mV"/>
        <variable name="n" private_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <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>
            <apply id="g_K1_calculation">
                <eq/>
                <ci>g_K1</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <cn cellml:units="mS_per_mm2" type="e-notation">1.2<sep/>-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" type="e-notation">0.015<sep/>-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>
            <apply id="g_K2_calculation">
                <eq/>
                <ci>g_K2</ci>
                <apply>
                    <times/>
                    <cn cellml:units="mS_per_mm2" type="e-notation">1.2<sep/>-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 initial_value="0.0935" name="n" public_interface="out" units="dimensionless"/>
        <variable name="alpha_n" units="per_ms"/>
        <variable name="beta_n" units="per_ms"/>
        <variable name="V" public_interface="in" units="mV"/>
        <variable name="time" public_interface="in" units="ms"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <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>
            <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>
            <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 name="i_Leak" public_interface="out" units="uA_per_mm2"/>
        <variable initial_value="0.0" name="g_L" units="mS_per_mm2"/>
        <variable initial_value="-60.0" name="E_L" units="mV"/>
        <variable name="time" public_interface="in" units="ms"/>
        <variable name="V" public_interface="in" units="mV"/>
        <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_1="membrane" component_2="interface"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="I_stim" variable_2="I_stim"/>
        <map_variables variable_1="V" variable_2="V"/>
    </connection>
    <connection>
        <map_components component_1="sodium_channel" component_2="interface"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="potassium_channel" component_2="interface"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="g_K_add" variable_2="g_K_add"/>
    </connection>
    <connection>
        <map_components component_1="leakage_current" component_2="interface"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="membrane" component_2="sodium_channel"/>
        <map_variables variable_1="V" variable_2="V"/>
        <map_variables variable_1="i_Na" variable_2="i_Na"/>
    </connection>
    <connection>
        <map_components component_1="membrane" component_2="potassium_channel"/>
        <map_variables variable_1="V" variable_2="V"/>
        <map_variables variable_1="i_K" variable_2="i_K"/>
    </connection>
    <connection>
        <map_components component_1="membrane" component_2="leakage_current"/>
        <map_variables variable_1="V" variable_2="V"/>
        <map_variables variable_1="i_Leak" variable_2="i_Leak"/>
    </connection>
    <connection>
        <map_components component_1="sodium_channel" component_2="sodium_channel_m_gate"/>
        <map_variables variable_1="m" variable_2="m"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="V" variable_2="V"/>
    </connection>
    <connection>
        <map_components component_1="sodium_channel" component_2="sodium_channel_h_gate"/>
        <map_variables variable_1="h" variable_2="h"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="V" variable_2="V"/>
    </connection>
    <connection>
        <map_components component_1="potassium_channel" component_2="potassium_channel_n_gate"/>
        <map_variables variable_1="n" variable_2="n"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="V" variable_2="V"/>
    </connection>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <!--
      The following RDF block contains metadata that applies to this document
      as a whole, as indicated by the empty about attribute on the 
      <rdf:Description> element.
    -->
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="">
            <!--
        The Model Builder Metadata.  The Dublin Core "creator" element is used  
        to indicate the person who translated the model into CellML.
      -->
            <dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Lloyd</vCard:Family>
                    <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Catherine</vCard:Given>
                    <vCard:Other xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">May</vCard:Other>
                </vCard:N>
                <vCard:EMAIL xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">c.lloyd@auckland.ac.nz</rdf:value>
                    <rdf:type xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:resource="http://imc.org/vCard/3.0#internet"/>
                </vCard:EMAIL>
                <vCard:ORG xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <vCard:Orgname xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">The University of Auckland</vCard:Orgname>
                    <vCard:Orgunit xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Bioengineering Institute</vCard:Orgunit>
                </vCard:ORG>
            </dc:creator>
            <!--
        The Creation Date metadata. This is the date on which the model
        was translated into CellML.
      -->
            <dcterms:created xmlns:dcterms="http://purl.org/dc/terms/" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2001-12-18</dcterms:W3CDTF>
            </dcterms:created>
            <!--
        The Modification History metadata. This lists the changes that have been
        made to the document, who made the changes, and when they were made.
      -->
            <cmeta:modification xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
          Encapsulated the model under an interface component for use when&#xd;
          importing the model into a specific experiment or simulation.&#xd;
        </rdf:value>
                <cmeta:modifier xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                        <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Nickerson</vCard:Family>
                        <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">David</vCard:Given>
                        <vCard:Other xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">P</vCard:Other>
                    </vCard:N>
                </cmeta:modifier>
                <dcterms:modified xmlns:dcterms="http://purl.org/dc/terms/" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2004-12-21</dcterms:W3CDTF>
                </dcterms:modified>
            </cmeta:modification>
            <cmeta:modification xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
          Changed units and added stimulus current.&#xd;
        </rdf:value>
                <cmeta:modifier xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                        <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Nickerson</vCard:Family>
                        <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">David</vCard:Given>
                        <vCard:Other xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">P</vCard:Other>
                    </vCard:N>
                </cmeta:modifier>
                <dcterms:modified xmlns:dcterms="http://purl.org/dc/terms/" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2003-04-05</dcterms:W3CDTF>
                </dcterms:modified>
            </cmeta:modification>
            <cmeta:modification xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
          Changed the model name so the model loads in the database easier.&#xd;
        </rdf:value>
                <cmeta:modifier xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                        <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Cuellar</vCard:Family>
                        <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Autumn</vCard:Given>
                        <vCard:Other xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">A</vCard:Other>
                    </vCard:N>
                </cmeta:modifier>
                <dcterms:modified xmlns:dcterms="http://purl.org/dc/terms/" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2003-04-05</dcterms:W3CDTF>
                </dcterms:modified>
            </cmeta:modification>
            <cmeta:modification xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
          Corrected membrane_voltage_diff_eq.&#xd;
        </rdf:value>
                <cmeta:modifier xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                        <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Lloyd</vCard:Family>
                        <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Catherine</vCard:Given>
                        <vCard:Other xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">May</vCard:Other>
                    </vCard:N>
                </cmeta:modifier>
                <dcterms:modified xmlns:dcterms="http://purl.org/dc/terms/" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2002-02-28</dcterms:W3CDTF>
                </dcterms:modified>
            </cmeta:modification>
            <cmeta:modification xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
          Updated metadata to conform to the 16/01/2002 CellML Metadata 1.0 &#xd;
          Specification.&#xd;
        </rdf:value>
                <cmeta:modifier xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                        <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Cuellar</vCard:Family>
                        <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Autumn</vCard:Given>
                        <vCard:Other xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">A.</vCard:Other>
                    </vCard:N>
                </cmeta:modifier>
                <dcterms:modified xmlns:dcterms="http://purl.org/dc/terms/" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2002-01-20</dcterms:W3CDTF>
                </dcterms:modified>
            </cmeta:modification>
            <!-- The Publisher metadata. -->
            <dc:publisher xmlns:dc="http://purl.org/dc/elements/1.1/">&#xd;
        Bioengineering Institute, The University of Auckland.&#xd;
      </dc:publisher>
        </rdf:Description>
        <!--
      The following metadata refers to the model itself, as indicated by the
      reference to the ID "noble_model_1962", which is declared on the    
      <model> element.
    -->
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#noble_model_1962">
            <!-- A human readable name for the model. -->
            <dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">&#xd;
        The 1962 Noble Model of Purkinje Fibre Action and Pace-maker Potentials&#xd;
      </dc:title>
            <!-- A comment regarding the model. -->
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
          This is the CellML description of Noble's 1962 mathematical model of&#xd;
          Purkinje fibre action and pace-maker potentials.  The equations &#xd;
          formulated by Hodgkin and Huxley (1952) to describe the electrical &#xd;
          activity of squid nerve have been modified to describe the action&#xd;
          and pace-maker potentials of the Purkinje fibres of the heart.&#xd;
        </rdf:value>
                <!-- The creator of the comment. -->
                <dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <vCard:FN xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Catherine Lloyd</vCard:FN>
                </dc:creator>
            </cmeta:comment>
            <!-- The model is relevant to all mammals. -->
            <cmeta:species xmlns:cmeta="http://www.cellml.org/metadata/1.0#">Mammalia</cmeta:species>
            <bqs:reference xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <bqs:Pubmed_id xmlns:bqs="http://www.cellml.org/bqs/1.0#">14480151</bqs:Pubmed_id>
                <bqs:JournalArticle xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                        <bqs:Person xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                            <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                                <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Noble</vCard:Family>
                                <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Denis</vCard:Given>
                            </vCard:N>
                        </bqs:Person>
                    </dc:creator>
                    <dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">&#xd;
            A Modification of the Hodgkin-Huxley Equations Applicable to&#xd;
            Purkinje Fibre Action and Pace-maker Potentials&#xd;
          </dc:title>
                    <dcterms:issued xmlns:dcterms="http://purl.org/dc/terms/" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                        <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">1962</dcterms:W3CDTF>
                    </dcterms:issued>
                    <bqs:Journal xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                        <dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Journal of Physiology</dc:title>
                    </bqs:Journal>
                    <bqs:volume xmlns:bqs="http://www.cellml.org/bqs/1.0#">160</bqs:volume>
                    <bqs:first_page xmlns:bqs="http://www.cellml.org/bqs/1.0#">317</bqs:first_page>
                    <bqs:last_page xmlns:bqs="http://www.cellml.org/bqs/1.0#">352</bqs:last_page>
                </bqs:JournalArticle>
            </bqs:reference>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#interface">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            Here we define a component which encapsulates the entire model&#xd;
            and provides the interface to model boundary conditions and&#xd;
            outputs.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#membrane">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The main component of the model, containing the membrane currents&#xd;
            and defining the transmembrane potential.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#membrane_voltage_diff_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The kinetics of the transmembrane potential.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#IStim_for_cmiss_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            This is a dummy equation that we simply use to make grabbing the&#xd;
            value easier.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#sodium_channel">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The modified sodium current from the 1952 Hodgkin Huxley model.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#g_Na_calculation_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            Calculation of the channel conductance.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#i_Na_calculation_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            Calculation of the channel current.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#sodium_channel_m_gate">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The voltage-dependent activation gate for the sodium channel - the m&#xd;
            gate.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#alpha_m_calculation_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The opening rate for the m gate.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#beta_m_calculation_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The closing rate for the m gate.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#dm_dt_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The kinetics of the m gate.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#sodium_channel_h_gate">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The voltage-dependent inactivation gate for the sodium channel - the&#xd;
            h gate.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#alpha_h_calculation_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The opening rate for the h gate.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#beta_h_calculation_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The closing rate for the h gate.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#dh_dt_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The kinetics of the h gate.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#potassium_channel">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The modified Hodgkin Huxley 1952 potassium channel.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#i_K_calculation_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            Calculation of the potassium current. The g_K_add conductance term&#xd;
            can be used to obtain a quiescent variant of the model by setting&#xd;
            its value to 0.001 mS/mm2.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#g_K1_calculation_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The conductance of the first "type" of potassium channels present in&#xd;
            this model, using an empirical formaulation.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#g_K2_calculation_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The conductance of the second "type" of potassium channels present&#xd;
            in this model, using the Hodgkin Huxley 1952 type kinetics.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#potassium_channel_n_gate">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The voltage-dependent activation gate for the potassium channel -&#xd;
            the n gate.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#alpha_n_calculation_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The opening rate for the n gate.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#beta_n_calculation_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The closing rate for the n gate.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#dn_dt_eq">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            The kinetics of the n gate.&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#leakage_current">
            <cmeta:comment xmlns:cmeta="http://www.cellml.org/metadata/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">&#xd;
            A non-specific background current attributed in part to chloride&#xd;
            ions. Can be turned on by specifying an appropriate value for the&#xd;
            conductance (~0.00075 mS/mm2).&#xd;
          </rdf:value>
            </cmeta:comment>
        </rdf:Description>
    </rdf:RDF>
</model>