Rendering of the source text

<?xml version="1.0"?>
<!--  FILE :  bertram_2007.xml

CREATED :  8th August 2007

LAST MODIFIED : 8th August 2007

AUTHOR :  Catherine Lloyd
        Bioengineering Institute
        The University of Auckland

MODEL STATUS :  This model conforms to the CellML 1.1 Specification.

DESCRIPTION :  This file contains a CellML description of Bertram et al.'s 2007 mathematical model of the interaction between glycolysis and mitochondrial respiration in metabolic oscillations of pancreatic islets.

CHANGES:

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        <article>
            <articleinfo>
                <title>Interaction of glycolysis and mitochondrial respiration in metabolic oscillations of pancreatic islets</title>
                <author>
                    <firstname>Catherine</firstname>
                    <surname>Lloyd</surname>
                    <affiliation>
                        <shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
                    </affiliation>
                </author>
            </articleinfo>
            <section id="sec_status">
                <title>Model Status</title>
                <para>This CellML model has been coded by translating the authors original XPPAUT.ode file, which can be found at http://www.math.fsu.edu/~bertram/software/islet/BJ_07/mitophan.ode. The model runs in PCEnv in COR and is able to produce the published results. The parameters have been chosen to recreate the bursting behaviour seen in figures 3 and 4 of the original paper. Some equations have inconsistent magnitudes due to the fact that some units are defined in milliseconds whereas others are defined in seconds.</para>
            </section>
            <sect1 id="sec_structure">
                <title>Model Structure</title>
                <para>Glucose metabolism plays a key signalling role in insulin-secreting pancreatic beta cells. In addition to generating ATP - the ubiquitous form of energy used to fuel many cellular processes - glucose metabolism in pancreatic beta cells is also the means by which blood glucose levels are monitored, ensuring an appropriate level of insulin secretion. ATP-sensitive potassium channels in the plasma membrane are activated by ADP and are inactivated by ATP, therefore a high ATP/ADP ratio results in a reduced number of open, ATP-sensitive, potassium channels. In turn, this results in membrane depolarisation and voltage-sensitive calcium channels open. The resulting influx of calcium ions into the cell cytosol induces insulin secretion, which in a healthy individual typically occurs in oscillatory waves. These can be fast with an oscillatory period of less than a minute, or slow with a duration of 2 to 7 minutes, or they can be a combination of fast and slow waves. This oscillatory pattern of insulin secretion appears to have a physiological function which is of particular interest since it is lost in patients with type II diabetes.</para>
                <para>
                    Although the definitive mechanisms underlying these insulin oscillations are unknown, in the paper described here, Richard Bertram <emphasis>et al.</emphasis> suggest that calcium feedback onto ATP production or consumption is responsible for the fast component of the insulin oscillations, while oscillations in the glycolytic pathway are responsible for the slow component. Furthermore, they build these phenomena into a mathematical model that combines a model of mitochondrial metabolism with models of glycolytic oscillations, plasma membrane electrical activity, and calcium handling in the cytosol and endoplasmic reticulum (summarised in the figure below).</para>
                <informalfigure float="0" id="fig_reaction_diagram">
                    <mediaobject>
                        <imageobject>
                            <objectinfo>
                                <title>model diagram</title>
                            </objectinfo>
                            <imagedata fileref="bertram_2007.png"/>
                        </imageobject>
                    </mediaobject>
                    <caption>Schematic diagram of the model components and the variables which are exchanged between the components.</caption>
                </informalfigure>
                <para>The original paper reference is cited below:</para>
                <para>
                    Interaction of glycolysis and mitochondrial respiration in metabolic oscillations of pancreatic islets, Richard Bertram, Leslie S. Satin, Morten Gram Pedersen, Dan S. Luciani, and Arthur Sherman, 2007, <emphasis>Biophysical Journal</emphasis>, 92, 1544-1555. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=pubmed&amp;cmd=Retrieve&amp;dopt=AbstractPlus&amp;list_uids=17172305&amp;query_hl=1&amp;itool=pubmed_docsum">PubMed ID: 17172305</ulink></para>
                <para>
                    The authors highlight that the original model code can be downloaded <ulink url="http://www.math.fsu.edu/~bertram/software/islet/BJ_07/mitophan.ode">here</ulink>.</para>
            </sect1>
        </article>
    </documentation>
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        <variable name="weight4" units="dimensionless"/>
        <variable name="topa4" units="dimensionless"/>
        <variable name="bottom4" units="dimensionless"/>
        <variable name="weight5" units="dimensionless"/>
        <variable name="topa5" units="dimensionless"/>
        <variable name="bottom5" units="dimensionless"/>
        <variable name="weight6" units="dimensionless"/>
        <variable name="topa6" units="dimensionless"/>
        <variable name="bottom6" units="dimensionless"/>
        <variable name="weight7" units="dimensionless"/>
        <variable name="topa7" units="dimensionless"/>
        <variable name="bottom7" units="dimensionless"/>
        <variable name="weight8" units="dimensionless"/>
        <variable name="topa8" units="dimensionless"/>
        <variable name="bottom8" units="dimensionless"/>
        <variable name="weight9" units="dimensionless"/>
        <variable name="topa9" units="dimensionless"/>
        <variable name="bottom9" units="dimensionless"/>
        <variable name="weight10" units="dimensionless"/>
        <variable name="topa10" units="dimensionless"/>
        <variable name="bottom10" units="dimensionless"/>
        <variable name="weight11" units="dimensionless"/>
        <variable name="topa11" units="dimensionless"/>
        <variable name="bottom11" units="dimensionless"/>
        <variable name="weight12" units="dimensionless"/>
        <variable name="topa12" units="dimensionless"/>
        <variable name="bottom12" units="dimensionless"/>
        <variable name="weight13" units="dimensionless"/>
        <variable name="topa13" units="dimensionless"/>
        <variable name="bottom13" units="dimensionless"/>
        <variable name="weight14" units="dimensionless"/>
        <variable name="topa14" units="dimensionless"/>
        <variable name="bottom14" units="dimensionless"/>
        <variable name="weight15" units="dimensionless"/>
        <variable name="topa15" units="dimensionless"/>
        <variable name="bottom15" units="dimensionless"/>
        <variable name="weight16" units="dimensionless"/>
        <variable name="topa16" units="dimensionless"/>
        <variable name="bottom16" units="dimensionless"/>
        <variable name="topb" units="dimensionless"/>
        <variable name="FBP" public_interface="in" units="micromolar"/>
        <variable name="AMP" public_interface="in" units="micromolar"/>
        <variable initial_value="0.06" name="lambda" units="dimensionless"/>
        <variable name="kappa" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="pfk">
            <apply>
                <eq/>
                <ci> JPFK_ms </ci>
                <apply>
                    <times/>
                    <ci> kappa </ci>
                    <ci> JPFK </ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci> JPFK </ci>
                <apply>
                    <divide/>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>lambda</ci>
                            <ci>VmaxPFK</ci>
                            <ci>topa16</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>VmaxPFK</ci>
                            <ci>topb</ci>
                        </apply>
                    </apply>
                    <ci>bottom16</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="0001">
            <apply>
                <eq/>
                <ci>weight2</ci>
                <apply>
                    <divide/>
                    <apply>
                        <power/>
                        <ci>atp</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k4</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="micromolar">1</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa2</ci>
                <ci>topa1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>bottom2</ci>
                <apply>
                    <plus/>
                    <ci>bottom1</ci>
                    <ci>weight2</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="0010">
            <apply>
                <eq/>
                <ci>weight3</ci>
                <apply>
                    <divide/>
                    <apply>
                        <power/>
                        <ci>F6P</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k3</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="micromolar">1</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa3</ci>
                <apply>
                    <plus/>
                    <ci>topa2</ci>
                    <ci>weight3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>bottom3</ci>
                <apply>
                    <plus/>
                    <ci>bottom2</ci>
                    <ci>weight3</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="0011">
            <apply>
                <eq/>
                <ci>weight4</ci>
                <apply>
                    <divide/>
                    <apply>
                        <power/>
                        <apply>
                            <times/>
                            <ci>F6P</ci>
                            <ci>atp</ci>
                        </apply>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <times/>
                        <ci>f43</ci>
                        <ci>k3</ci>
                        <ci>k4</ci>
                        <apply>
                            <power/>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="micromolar">1</cn>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa4</ci>
                <apply>
                    <plus/>
                    <ci>topa3</ci>
                    <ci>weight4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>bottom4</ci>
                <apply>
                    <plus/>
                    <ci>bottom3</ci>
                    <ci>weight4</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="0100">
            <apply>
                <eq/>
                <ci>weight5</ci>
                <apply>
                    <divide/>
                    <ci>FBP</ci>
                    <ci>k2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa5</ci>
                <ci>topa4</ci>
            </apply>
            <apply>
                <eq/>
                <ci>bottom5</ci>
                <apply>
                    <plus/>
                    <ci>bottom4</ci>
                    <ci>weight5</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="0101">
            <apply>
                <eq/>
                <ci>weight6</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>FBP</ci>
                        <apply>
                            <power/>
                            <ci>atp</ci>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k2</ci>
                        <ci>k4</ci>
                        <ci>f42</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="micromolar">1</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa6</ci>
                <ci>topa5</ci>
            </apply>
            <apply>
                <eq/>
                <ci>bottom6</ci>
                <apply>
                    <plus/>
                    <ci>bottom5</ci>
                    <ci>weight6</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="0110">
            <apply>
                <eq/>
                <ci>weight7</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>FBP</ci>
                        <apply>
                            <power/>
                            <ci>F6P</ci>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k2</ci>
                        <ci>k3</ci>
                        <ci>f23</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="micromolar">1</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa7</ci>
                <apply>
                    <plus/>
                    <ci>topa6</ci>
                    <ci>weight7</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>bottom7</ci>
                <apply>
                    <plus/>
                    <ci>bottom6</ci>
                    <ci>weight7</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="0111">
            <apply>
                <eq/>
                <ci>weight8</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>FBP</ci>
                        <apply>
                            <power/>
                            <ci>F6P</ci>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                            <power/>
                            <ci>atp</ci>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k2</ci>
                        <ci>k3</ci>
                        <ci>k4</ci>
                        <ci>f23</ci>
                        <ci>f42</ci>
                        <ci>f43</ci>
                        <apply>
                            <power/>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="micromolar">1</cn>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa8</ci>
                <apply>
                    <plus/>
                    <ci>topa7</ci>
                    <ci>weight8</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>bottom8</ci>
                <apply>
                    <plus/>
                    <ci>bottom7</ci>
                    <ci>weight8</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="1000">
            <apply>
                <eq/>
                <ci>weight9</ci>
                <apply>
                    <divide/>
                    <ci>AMP</ci>
                    <ci>k1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa9</ci>
                <ci>topa8</ci>
            </apply>
            <apply>
                <eq/>
                <ci>bottom9</ci>
                <apply>
                    <plus/>
                    <ci>bottom8</ci>
                    <ci>weight9</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="1001">
            <apply>
                <eq/>
                <ci>weight10</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>AMP</ci>
                        <apply>
                            <power/>
                            <ci>atp</ci>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k1</ci>
                        <ci>k4</ci>
                        <ci>f41</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="micromolar">1</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa10</ci>
                <ci>topa9</ci>
            </apply>
            <apply>
                <eq/>
                <ci>bottom10</ci>
                <apply>
                    <plus/>
                    <ci>bottom9</ci>
                    <ci>weight10</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="1010">
            <apply>
                <eq/>
                <ci>weight11</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>AMP</ci>
                        <apply>
                            <power/>
                            <ci>F6P</ci>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k1</ci>
                        <ci>k3</ci>
                        <ci>f13</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="micromolar">1</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa11</ci>
                <apply>
                    <plus/>
                    <ci>topa10</ci>
                    <ci>weight11</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>bottom11</ci>
                <apply>
                    <plus/>
                    <ci>bottom10</ci>
                    <ci>weight11</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="1011">
            <apply>
                <eq/>
                <ci>weight12</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>AMP</ci>
                        <apply>
                            <power/>
                            <ci>F6P</ci>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                            <power/>
                            <ci>atp</ci>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k1</ci>
                        <ci>k3</ci>
                        <ci>k4</ci>
                        <ci>f13</ci>
                        <ci>f41</ci>
                        <ci>f43</ci>
                        <apply>
                            <power/>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="micromolar">1</cn>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa12</ci>
                <apply>
                    <plus/>
                    <ci>topa11</ci>
                    <ci>weight12</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>bottom12</ci>
                <apply>
                    <plus/>
                    <ci>bottom11</ci>
                    <ci>weight12</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="1100">
            <apply>
                <eq/>
                <ci>weight13</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>AMP</ci>
                        <ci>FBP</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k1</ci>
                        <ci>k2</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa13</ci>
                <ci>topa12</ci>
            </apply>
            <apply>
                <eq/>
                <ci>bottom13</ci>
                <apply>
                    <plus/>
                    <ci>bottom12</ci>
                    <ci>weight13</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="1101">
            <apply>
                <eq/>
                <ci>weight14</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>AMP</ci>
                        <ci>FBP</ci>
                        <apply>
                            <power/>
                            <ci>atp</ci>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k1</ci>
                        <ci>k2</ci>
                        <ci>k4</ci>
                        <ci>f42</ci>
                        <ci>f41</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="micromolar">1</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa14</ci>
                <ci>topa13</ci>
            </apply>
            <apply>
                <eq/>
                <ci>bottom14</ci>
                <apply>
                    <plus/>
                    <ci>bottom13</ci>
                    <ci>weight14</ci>
                </apply>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="1110">
            <apply>
                <eq/>
                <ci>weight15</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>AMP</ci>
                        <ci>FBP</ci>
                        <apply>
                            <power/>
                            <ci>F6P</ci>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k1</ci>
                        <ci>k2</ci>
                        <ci>k3</ci>
                        <ci>f23</ci>
                        <ci>f13</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="micromolar">1</cn>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa15</ci>
                <ci>topa14</ci>
            </apply>
            <apply>
                <eq/>
                <ci>bottom15</ci>
                <apply>
                    <plus/>
                    <ci>bottom14</ci>
                    <ci>weight15</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topb</ci>
                <ci>weight15</ci>
            </apply>
        </math>
        <math xmlns="http://www.w3.org/1998/Math/MathML" id="1111">
            <apply>
                <eq/>
                <ci>weight16</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>AMP</ci>
                        <ci>FBP</ci>
                        <apply>
                            <power/>
                            <ci>F6P</ci>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                            <power/>
                            <ci>atp</ci>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k1</ci>
                        <ci>k2</ci>
                        <ci>k3</ci>
                        <ci>k4</ci>
                        <ci>f23</ci>
                        <ci>f13</ci>
                        <ci>f42</ci>
                        <ci>f41</ci>
                        <ci>f43</ci>
                        <apply>
                            <power/>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="micromolar">1</cn>
                            <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>topa16</ci>
                <apply>
                    <plus/>
                    <ci>topa15</ci>
                    <ci>weight16</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>bottom16</ci>
                <apply>
                    <plus/>
                    <ci>bottom15</ci>
                    <ci>weight16</ci>
                </apply>
            </apply>
        </math>
    </component>
    <!-- Mitochondrial model -->
    <component cmeta:id="JPDH" name="JPDH">
        
        <variable name="JPDH" public_interface="out" units="micromolar_millisecond"/>
        <variable initial_value="400.0" name="p1" units="dimensionless"/>
        <variable initial_value="1.0" name="p2" units="dimensionless"/>
        <variable initial_value="0.01" name="p3" units="micromolar"/>
        <variable initial_value="0.0005" name="JGPDHbas" units="micromolar_millisecond"/>
        <variable name="NADm" public_interface="in" units="millimolar"/>
        <variable name="Cam" public_interface="in" units="micromolar"/>
        <variable name="NADHm" public_interface="in" units="millimolar"/>
        <variable name="JGPDH" public_interface="in" units="micromolar_millisecond"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> JPDH </ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <ci> p1 </ci>
                        <apply>
                            <plus/>
                            <ci> p2 </ci>
                            <apply>
                                <divide/>
                                <ci> NADHm </ci>
                                <ci> NADm </ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <divide/>
                        <ci> Cam </ci>
                        <apply>
                            <plus/>
                            <ci> p3 </ci>
                            <ci> Cam </ci>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <ci> JGPDH </ci>
                        <ci> JGPDHbas </ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="NADHm" name="NADHm">
        
        <variable cmeta:id="NADHm_NADHm" initial_value="0.4" name="NADHm" public_interface="out" units="millimolar"/>
        <variable name="gamma" public_interface="in" units="dimensionless"/>
        <variable name="JPDH" public_interface="in" units="micromolar_millisecond"/>
        <variable name="JO" public_interface="in" units="micromolar_millisecond"/>
        <variable name="time" public_interface="in" units="millisecond"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci> NADHm </ci>
                </apply>
                <apply>
                    <times/>
                    <ci> gamma </ci>
                    <apply>
                        <minus/>
                        <ci> JPDH </ci>
                        <ci> JO </ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="JO" name="JO">
        
        <variable name="JO" public_interface="out" units="micromolar_millisecond"/>
        <variable initial_value="0.6" name="p4" units="micromolar_millisecond"/>
        <variable initial_value="0.1" name="p5" units="millimolar"/>
        <variable initial_value="177.0" name="p6" units="millivolt"/>
        <variable initial_value="5.0" name="p7" units="millivolt"/>
        <variable name="NADHm" public_interface="in" units="millimolar"/>
        <variable name="delta_psi" public_interface="in" units="millivolt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> JO </ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci> p4 </ci>
                        <apply>
                            <divide/>
                            <ci> NADHm </ci>
                            <apply>
                                <plus/>
                                <ci> p5 </ci>
                                <ci> NADHm </ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> 1.0 </cn>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <ci> delta_psi </ci>
                                    <ci> p6 </ci>
                                </apply>
                                <ci> p7 </ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="NADm" name="NADm">
        
        <variable name="NADm" public_interface="out" units="millimolar"/>
        <variable initial_value="10.0" name="NADmtot" units="millimolar"/>
        <variable name="NADHm" public_interface="in" units="millimolar"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> NADm </ci>
                <apply>
                    <minus/>
                    <ci> NADmtot </ci>
                    <ci> NADHm </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="delta_psi" name="delta_psi">
        
        <variable cmeta:id="delta_psi_delta_psi" initial_value="164.0" name="delta_psi" public_interface="out" units="millivolt"/>
        <variable initial_value="1.8" name="Cmito" units="micromolar_millivolt"/>
        <variable name="JHres" public_interface="in" units="micromolar_millisecond"/>
        <variable name="JHatp" public_interface="in" units="micromolar_millisecond"/>
        <variable name="JANT" public_interface="in" units="micromolar_millisecond"/>
        <variable name="JHleak" public_interface="in" units="micromolar_millisecond"/>
        <variable name="JNaCa" public_interface="in" units="micromolar_millisecond"/>
        <variable name="Juni" public_interface="in" units="micromolar_millisecond"/>
        <variable name="time" public_interface="in" units="millisecond"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci> delta_psi </ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci> JHres </ci>
                        <apply>
                            <plus/>
                            <ci> JHatp </ci>
                            <ci> JANT </ci>
                            <ci> JHleak </ci>
                            <ci> JNaCa </ci>
                            <apply>
                                <times/>
                                <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> 2.0 </cn>
                                <ci> Juni </ci>
                            </apply>
                        </apply>
                    </apply>
                    <ci> Cmito </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="JHres" name="JHres">
        
        <variable name="JHres" public_interface="out" units="micromolar_millisecond"/>
        <variable initial_value="7.0" name="p8" units="micromolar_millisecond"/>
        <variable initial_value="0.1" name="p9" units="millimolar"/>
        <variable initial_value="177.0" name="p10" units="millivolt"/>
        <variable initial_value="5.0" name="p11" units="millivolt"/>
        <variable name="NADHm" public_interface="in" units="millimolar"/>
        <variable name="delta_psi" public_interface="in" units="millivolt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> JHres </ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci> p8 </ci>
                        <apply>
                            <divide/>
                            <ci> NADHm </ci>
                            <apply>
                                <plus/>
                                <ci> p9 </ci>
                                <ci> NADHm </ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> 1.0 </cn>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <ci> delta_psi </ci>
                                    <ci> p10 </ci>
                                </apply>
                                <ci> p11 </ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="JF1F0" name="JF1F0">
        
        <variable name="JF1F0" public_interface="out" units="micromolar_millisecond"/>
        <variable initial_value="10.0" name="p13" units="millimolar"/>
        <variable initial_value="190.0" name="p14" units="millivolt"/>
        <variable initial_value="8.5" name="p15" units="millivolt"/>
        <variable initial_value="35.0" name="p16" units="micromolar_millisecond"/>
        <variable name="ATPm" public_interface="in" units="millimolar"/>
        <variable name="delta_psi" public_interface="in" units="millivolt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> JF1F0 </ci>
                <apply>
                    <divide/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci> p16 </ci>
                            <ci> p13 </ci>
                        </apply>
                        <apply>
                            <plus/>
                            <ci> p13 </ci>
                            <ci> ATPm </ci>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> 1.0 </cn>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <minus/>
                                    <ci> p14 </ci>
                                    <ci> delta_psi </ci>
                                </apply>
                                <ci> p15 </ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="JHatp" name="JHatp">
        
        <variable name="JHatp" public_interface="out" units="micromolar_millisecond"/>
        <variable name="JF1F0" public_interface="in" units="micromolar_millisecond"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> JHatp </ci>
                <apply>
                    <times/>
                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> 3.0 </cn>
                    <ci> JF1F0 </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="JGK" name="JGK">
        
        <variable name="JGK_ms" public_interface="out" units="micromolar_millisecond"/>
        <variable initial_value="0.4" name="JGK" units="micromolar_second"/>
        <variable name="kappa" public_interface="in" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> JGK_ms </ci>
                <apply>
                    <times/>
                    <ci> kappa </ci>
                    <ci> JGK </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="JHleak" name="JHleak">
        
        <variable name="JHleak" public_interface="out" units="micromolar_millisecond"/>
        <variable initial_value="0.002" name="p17" units="micromolar_millisecond_millivolt"/>
        <variable initial_value="-0.03" name="p18" units="micromolar_millisecond"/>
        <variable name="delta_psi" public_interface="in" units="millivolt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> JHleak </ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <ci> p17 </ci>
                        <ci> delta_psi </ci>
                    </apply>
                    <ci> p18 </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="JANT" name="JANT">
        
        <variable name="JANT" public_interface="out" units="micromolar_millisecond"/>
        <variable initial_value="0.35" name="p19" units="micromolar_millisecond"/>
        <variable initial_value="2.0" name="p20" units="dimensionless"/>
        <variable initial_value="0.037410133" name="FRT" units="per_millivolt"/>
        <variable name="RATm" public_interface="in" units="dimensionless"/>
        <variable name="delta_psi" public_interface="in" units="millivolt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> JANT </ci>
                <apply>
                    <times/>
                    <ci> p19 </ci>
                    <apply>
                        <divide/>
                        <apply>
                            <divide/>
                            <ci> RATm </ci>
                            <apply>
                                <plus/>
                                <ci> RATm </ci>
                                <ci> p20 </ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <times/>
                                <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> -0.5 </cn>
                                <ci> FRT </ci>
                                <ci> delta_psi </ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="RATm">
        <variable name="RATm" public_interface="out" units="dimensionless"/>
        <variable name="ATPm" public_interface="in" units="millimolar"/>
        <variable name="ADPm" public_interface="in" units="millimolar"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> RATm </ci>
                <apply>
                    <divide/>
                    <ci> ATPm </ci>
                    <ci> ADPm </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="Juni" name="Juni">
        
        <variable name="Juni" public_interface="out" units="micromolar_millisecond"/>
        <variable initial_value="0.04" name="p21" units="per_micromolar_millisecond_millivolt"/>
        <variable initial_value="1.1" name="p22" units="second_order_rate_constant"/>
        <variable name="c" public_interface="in" units="micromolar"/>
        <variable name="delta_psi" public_interface="in" units="millivolt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> Juni </ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci> p21 </ci>
                            <ci> delta_psi </ci>
                        </apply>
                        <ci> p22 </ci>
                    </apply>
                    <apply>
                        <power/>
                        <ci> c </ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> 2.0 </cn>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="JNaCa" name="JNaCa">
        
        <variable name="JNaCa" public_interface="out" units="micromolar_millisecond"/>
        <variable initial_value="0.01" name="p23" units="micromolar_millisecond"/>
        <variable initial_value="0.016" name="p24" units="per_millivolt"/>
        <variable name="c" public_interface="in" units="micromolar"/>
        <variable name="Cam" public_interface="in" units="micromolar"/>
        <variable name="delta_psi" public_interface="in" units="millivolt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> JNaCa </ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <ci> p23 </ci>
                        <ci> c </ci>
                    </apply>
                    <ci> Cam </ci>
                    <apply>
                        <exp/>
                        <apply>
                            <times/>
                            <ci> p24 </ci>
                            <ci> delta_psi </ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="Cam" name="Cam">
        
        <variable cmeta:id="Cam_Cam" initial_value="0.2" name="Cam" public_interface="out" units="micromolar"/>
        <variable initial_value="0.01" name="fmito" units="dimensionless"/>
        <variable name="Jmito" public_interface="in" units="micromolar_millisecond"/>
        <variable name="time" public_interface="in" units="millisecond"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci> Cam </ci>
                </apply>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci> fmito </ci>
                    </apply>
                    <ci> Jmito </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="Jmito">
        <variable name="Jmito" public_interface="out" units="micromolar_millisecond"/>
        <variable name="JNaCa" public_interface="in" units="micromolar_millisecond"/>
        <variable name="Juni" public_interface="in" units="micromolar_millisecond"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> Jmito </ci>
                <apply>
                    <minus/>
                    <ci> JNaCa </ci>
                    <ci> Juni </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="ADPm" name="ADPm">
        
        <variable cmeta:id="ADPm_ADPm" initial_value="11.1" name="ADPm" public_interface="out" units="millimolar"/>
        <variable name="gamma" public_interface="in" units="dimensionless"/>
        <variable name="JANT" public_interface="in" units="micromolar_millisecond"/>
        <variable name="JF1F0" public_interface="in" units="micromolar_millisecond"/>
        <variable name="time" public_interface="in" units="millisecond"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci> ADPm </ci>
                </apply>
                <apply>
                    <times/>
                    <ci> gamma </ci>
                    <apply>
                        <minus/>
                        <ci> JANT </ci>
                        <ci> JF1F0 </ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="ATPm" name="ATPm">
        
        <variable name="ATPm" public_interface="out" units="millimolar"/>
        <variable initial_value="15.0" name="Amtot" units="millimolar"/>
        <variable name="ADPm" public_interface="in" units="millimolar"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> ATPm </ci>
                <apply>
                    <minus/>
                    <ci> Amtot </ci>
                    <ci> ADPm </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="adp" name="adp">
        
        <variable cmeta:id="adp_adp" initial_value="1137.0" name="adp" public_interface="out" units="micromolar"/>
        <variable name="delta" public_interface="in" units="dimensionless"/>
        <variable name="Jhyd" public_interface="in" units="micromolar_millisecond"/>
        <variable name="JANT" public_interface="in" units="micromolar_millisecond"/>
        <variable name="time" public_interface="in" units="millisecond"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci> adp </ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <apply>
                            <minus/>
                            <ci> delta </ci>
                        </apply>
                        <ci> JANT </ci>
                    </apply>
                    <ci> Jhyd </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="Jhyd" name="Jhyd">
        
        <variable name="Jhyd" public_interface="out" units="micromolar_millisecond"/>
        <variable initial_value="0.00005" name="khyd" units="second_order_rate_constant"/>
        <variable initial_value="0.00005" name="khydbas" units="first_order_rate_constant"/>
        <variable name="c" public_interface="in" units="micromolar"/>
        <variable name="atp" public_interface="in" units="micromolar"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> Jhyd </ci>
                <apply>
                    <times/>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci> khyd </ci>
                            <ci> c </ci>
                        </apply>
                        <ci> khydbas </ci>
                    </apply>
                    <ci> atp </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="atp" name="atp">
        
        <variable cmeta:id="atp_atp" name="atp" public_interface="out" units="micromolar"/>
        <variable initial_value="2500.0" name="atot" units="micromolar"/>
        <variable name="adp" public_interface="in" units="micromolar"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> atp </ci>
                <apply>
                    <minus/>
                    <ci> atot </ci>
                    <ci> adp </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="c" name="c">
        
        <variable initial_value="0.17" name="c" public_interface="out" units="micromolar"/>
        <variable initial_value="0.01" name="fcyt" units="dimensionless"/>
        <variable name="delta" public_interface="in" units="dimensionless"/>
        <variable name="Jer" public_interface="in" units="micromolar_millisecond"/>
        <variable name="Jmem" public_interface="in" units="micromolar_millisecond"/>
        <variable name="Jmito" public_interface="in" units="micromolar_millisecond"/>
        <variable name="time" public_interface="in" units="millisecond"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci> c </ci>
                </apply>
                <apply>
                    <times/>
                    <ci> fcyt </ci>
                    <apply>
                        <plus/>
                        <ci> Jmem </ci>
                        <ci> Jer </ci>
                        <apply>
                            <times/>
                            <ci> delta </ci>
                            <ci> Jmito </ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="Jmem" name="Jmem">
        
        <variable name="Jmem" public_interface="out" units="micromolar_millisecond"/>
        <variable initial_value="0.1" name="kPMCA" units="first_order_rate_constant"/>
        <variable initial_value="4.5E-6" name="alpha" units="micromolar_millisecond_femtoampere"/>
        <variable initial_value="0.05" name="Cbas" units="micromolar"/>
        <variable name="c" public_interface="in" units="micromolar"/>
        <variable name="Ica" public_interface="in" units="femtoampere"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> Jmem </ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci> alpha </ci>
                            <ci> Ica </ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci> kPMCA </ci>
                            <apply>
                                <minus/>
                                <ci> c </ci>
                                <ci> Cbas </ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="Jleak" name="Jleak">
        
        <variable name="Jleak" public_interface="out" units="micromolar_millisecond"/>
        <variable initial_value="0.0002" name="pleak" units="first_order_rate_constant"/>
        <variable name="c" public_interface="in" units="micromolar"/>
        <variable name="Caer" public_interface="in" units="micromolar"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> Jleak </ci>
                <apply>
                    <times/>
                    <ci> pleak </ci>
                    <apply>
                        <minus/>
                        <ci> Caer </ci>
                        <ci> c </ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="JSERCA" name="JSERCA">
        
        <variable name="JSERCA" public_interface="out" units="micromolar_millisecond"/>
        <variable initial_value="0.4" name="kSERCA" units="first_order_rate_constant"/>
        <variable name="c" public_interface="in" units="micromolar"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> JSERCA </ci>
                <apply>
                    <times/>
                    <ci> kSERCA </ci>
                    <ci> c </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="Jer" name="Jer">
        
        <variable name="Jer" public_interface="out" units="micromolar_millisecond"/>
        <variable name="Jleak" public_interface="in" units="micromolar_millisecond"/>
        <variable name="JSERCA" public_interface="in" units="micromolar_millisecond"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> Jer </ci>
                <apply>
                    <minus/>
                    <ci> Jleak </ci>
                    <ci> JSERCA </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component cmeta:id="Caer" name="Caer">
        
        <variable cmeta:id="Caer_Caer" initial_value="345.0" name="Caer" public_interface="out" units="micromolar"/>
        <variable initial_value="0.01" name="fer" units="dimensionless"/>
        <variable initial_value="31.0" name="Vc_Ver" units="dimensionless"/>
        <variable name="Jer" public_interface="in" units="micromolar_millisecond"/>
        <variable name="time" public_interface="in" units="millisecond"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci> Caer </ci>
                </apply>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci> fer </ci>
                    </apply>
                    <ci> Vc_Ver </ci>
                    <ci> Jer </ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="model_parameters">
        <variable initial_value="0.001" name="gamma" public_interface="out" units="dimensionless"/>
        <variable initial_value="0.001" name="kappa" public_interface="out" units="dimensionless"/>
        <variable name="delta" public_interface="out" units="dimensionless"/>
        <variable initial_value="-75.0" name="VK" public_interface="out" units="millivolt"/>
        <variable initial_value="25.0" name="VCa" public_interface="out" units="millivolt"/>
        <variable initial_value="500.0" name="AMP" public_interface="out" units="micromolar"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci> delta </ci>
                <apply>
                    <divide/>
                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> 3.9 </cn>
                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> 53.2 </cn>
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            </apply>
        </math>
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        <relationship_ref relationship="containment"/>
        <component_ref component="membrane">
            <component_ref component="Ica">
                <component_ref component="m"/>
            </component_ref>
            <component_ref component="Ik">
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            <component_ref component="Ikca"/>
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    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="Ica">
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        <component_ref component="Ik">
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    <connection>
        <map_components component_1="G6P" component_2="environment"/>
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    <connection>
        <map_components component_1="FBP" component_2="environment"/>
        <map_variables variable_1="time" variable_2="time"/>
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    <connection>
        <map_components component_1="NADHm" component_2="environment"/>
        <map_variables variable_1="time" variable_2="time"/>
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    <connection>
        <map_components component_1="delta_psi" component_2="environment"/>
        <map_variables variable_1="time" variable_2="time"/>
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    <connection>
        <map_components component_1="Cam" component_2="environment"/>
        <map_variables variable_1="time" variable_2="time"/>
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    <connection>
        <map_components component_1="ADPm" component_2="environment"/>
        <map_variables variable_1="time" variable_2="time"/>
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    <connection>
        <map_components component_1="membrane" component_2="environment"/>
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    <connection>
        <map_components component_1="Ik" component_2="environment"/>
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        <map_components component_1="Ica" component_2="environment"/>
        <map_variables variable_1="time" variable_2="time"/>
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    <connection>
        <map_components component_1="Ikca" component_2="environment"/>
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    <connection>
        <map_components component_1="Ikatp" component_2="environment"/>
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        <map_variables variable_1="time" variable_2="time"/>
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        <map_components component_1="c" component_2="environment"/>
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        <map_components component_1="Caer" component_2="environment"/>
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        <map_components component_1="G6P" component_2="JPFK"/>
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        <map_components component_1="G6P" component_2="F6P"/>
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        <map_components component_1="FBP" component_2="JGPDH"/>
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        <map_components component_1="JPDH" component_2="JGPDH"/>
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        <map_components component_1="JPDH" component_2="NADm"/>
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        <map_components component_1="JPDH" component_2="Cam"/>
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        <map_components component_1="NADHm" component_2="model_parameters"/>
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        <map_components component_1="JO" component_2="NADHm"/>
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        <map_variables variable_1="JO" variable_2="JO"/>
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    <connection>
        <map_components component_1="JO" component_2="delta_psi"/>
        <map_variables variable_1="delta_psi" variable_2="delta_psi"/>
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    <connection>
        <map_components component_1="NADm" component_2="NADHm"/>
        <map_variables variable_1="NADHm" variable_2="NADHm"/>
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    <connection>
        <map_components component_1="JHres" component_2="delta_psi"/>
        <map_variables variable_1="delta_psi" variable_2="delta_psi"/>
        <map_variables variable_1="JHres" variable_2="JHres"/>
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    <connection>
        <map_components component_1="JHatp" component_2="delta_psi"/>
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    <connection>
        <map_components component_1="JGK" component_2="model_parameters"/>
        <map_variables variable_1="kappa" variable_2="kappa"/>
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    <connection>
        <map_components component_1="JGK" component_2="G6P"/>
        <map_variables variable_1="JGK_ms" variable_2="JGK_ms"/>
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    <connection>
        <map_components component_1="JANT" component_2="delta_psi"/>
        <map_variables variable_1="delta_psi" variable_2="delta_psi"/>
        <map_variables variable_1="JANT" variable_2="JANT"/>
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    <connection>
        <map_components component_1="JHleak" component_2="delta_psi"/>
        <map_variables variable_1="delta_psi" variable_2="delta_psi"/>
        <map_variables variable_1="JHleak" variable_2="JHleak"/>
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    <connection>
        <map_components component_1="JNaCa" component_2="delta_psi"/>
        <map_variables variable_1="delta_psi" variable_2="delta_psi"/>
        <map_variables variable_1="JNaCa" variable_2="JNaCa"/>
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    <connection>
        <map_components component_1="Juni" component_2="delta_psi"/>
        <map_variables variable_1="delta_psi" variable_2="delta_psi"/>
        <map_variables variable_1="Juni" variable_2="Juni"/>
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    <connection>
        <map_components component_1="JHres" component_2="NADHm"/>
        <map_variables variable_1="NADHm" variable_2="NADHm"/>
    </connection>
    <connection>
        <map_components component_1="JF1F0" component_2="ATPm"/>
        <map_variables variable_1="ATPm" variable_2="ATPm"/>
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    <connection>
        <map_components component_1="JF1F0" component_2="delta_psi"/>
        <map_variables variable_1="delta_psi" variable_2="delta_psi"/>
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    <connection>
        <map_components component_1="JHatp" component_2="JF1F0"/>
        <map_variables variable_1="JF1F0" variable_2="JF1F0"/>
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    <connection>
        <map_components component_1="JANT" component_2="RATm"/>
        <map_variables variable_1="RATm" variable_2="RATm"/>
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    <connection>
        <map_components component_1="RATm" component_2="ATPm"/>
        <map_variables variable_1="ATPm" variable_2="ATPm"/>
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    <connection>
        <map_components component_1="RATm" component_2="ADPm"/>
        <map_variables variable_1="ADPm" variable_2="ADPm"/>
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    <connection>
        <map_components component_1="Juni" component_2="c"/>
        <map_variables variable_1="c" variable_2="c"/>
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    <connection>
        <map_components component_1="JNaCa" component_2="c"/>
        <map_variables variable_1="c" variable_2="c"/>
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    <connection>
        <map_components component_1="JNaCa" component_2="Cam"/>
        <map_variables variable_1="Cam" variable_2="Cam"/>
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    <connection>
        <map_components component_1="Jmito" component_2="Cam"/>
        <map_variables variable_1="Jmito" variable_2="Jmito"/>
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    <connection>
        <map_components component_1="JNaCa" component_2="Jmito"/>
        <map_variables variable_1="JNaCa" variable_2="JNaCa"/>
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    <connection>
        <map_components component_1="Juni" component_2="Jmito"/>
        <map_variables variable_1="Juni" variable_2="Juni"/>
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    <connection>
        <map_components component_1="atp" component_2="adp"/>
        <map_variables variable_1="adp" variable_2="adp"/>
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    <connection>
        <map_components component_1="adp" component_2="JANT"/>
        <map_variables variable_1="JANT" variable_2="JANT"/>
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    <connection>
        <map_components component_1="adp" component_2="Jhyd"/>
        <map_variables variable_1="Jhyd" variable_2="Jhyd"/>
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    <connection>
        <map_components component_1="ATPm" component_2="ADPm"/>
        <map_variables variable_1="ADPm" variable_2="ADPm"/>
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    <connection>
        <map_components component_1="ADPm" component_2="model_parameters"/>
        <map_variables variable_1="gamma" variable_2="gamma"/>
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    <connection>
        <map_components component_1="ADPm" component_2="JANT"/>
        <map_variables variable_1="JANT" variable_2="JANT"/>
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    <connection>
        <map_components component_1="ADPm" component_2="JF1F0"/>
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    <connection>
        <map_components component_1="membrane" component_2="Ica"/>
        <map_variables variable_1="Ica" variable_2="Ica"/>
        <map_variables variable_1="Vm" variable_2="Vm"/>
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    <connection>
        <map_components component_1="membrane" component_2="Ik"/>
        <map_variables variable_1="Ik" variable_2="Ik"/>
        <map_variables variable_1="Vm" variable_2="Vm"/>
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    <connection>
        <map_components component_1="membrane" component_2="Ikca"/>
        <map_variables variable_1="Ikca" variable_2="Ikca"/>
        <map_variables variable_1="Vm" variable_2="Vm"/>
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    <connection>
        <map_components component_1="membrane" component_2="Ikatp"/>
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        <map_variables variable_1="Vm" variable_2="Vm"/>
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        <map_components component_1="Ik" component_2="model_parameters"/>
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    <connection>
        <map_components component_1="n" component_2="Ik"/>
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        <map_variables variable_1="time" variable_2="time"/>
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    <connection>
        <map_components component_1="Ica" component_2="model_parameters"/>
        <map_variables variable_1="VCa" variable_2="VCa"/>
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    <connection>
        <map_components component_1="m" component_2="Ica"/>
        <map_variables variable_1="m_infinity" variable_2="m_infinity"/>
        <map_variables variable_1="Vm" variable_2="Vm"/>
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    <connection>
        <map_components component_1="Ikca" component_2="model_parameters"/>
        <map_variables variable_1="VK" variable_2="VK"/>
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    <connection>
        <map_components component_1="Ikca" component_2="c"/>
        <map_variables variable_1="c" variable_2="c"/>
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    <connection>
        <map_components component_1="Ikatp" component_2="model_parameters"/>
        <map_variables variable_1="VK" variable_2="VK"/>
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        <map_components component_1="Ikatp" component_2="atp"/>
        <map_variables variable_1="atp" variable_2="atp"/>
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    <connection>
        <map_components component_1="Ikatp" component_2="adp"/>
        <map_variables variable_1="adp" variable_2="adp"/>
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    <connection>
        <map_components component_1="c" component_2="Jmem"/>
        <map_variables variable_1="c" variable_2="c"/>
        <map_variables variable_1="Jmem" variable_2="Jmem"/>
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        <map_components component_1="c" component_2="Jer"/>
        <map_variables variable_1="Jer" variable_2="Jer"/>
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    <connection>
        <map_components component_1="Caer" component_2="Jer"/>
        <map_variables variable_1="Jer" variable_2="Jer"/>
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    <connection>
        <map_components component_1="Jer" component_2="Jleak"/>
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    <connection>
        <map_components component_1="Jer" component_2="JSERCA"/>
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    <connection>
        <map_components component_1="c" component_2="JSERCA"/>
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    <connection>
        <map_components component_1="c" component_2="Jmito"/>
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    <connection>
        <map_components component_1="c" component_2="Jhyd"/>
        <map_variables variable_1="c" variable_2="c"/>
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    <connection>
        <map_components component_1="atp" component_2="Jhyd"/>
        <map_variables variable_1="atp" variable_2="atp"/>
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        <map_components component_1="c" component_2="Jleak"/>
        <map_variables variable_1="c" variable_2="c"/>
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    <connection>
        <map_components component_1="Caer" component_2="Jleak"/>
        <map_variables variable_1="Caer" variable_2="Caer"/>
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    <connection>
        <map_components component_1="adp" component_2="model_parameters"/>
        <map_variables variable_1="delta" variable_2="delta"/>
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    <connection>
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        <map_variables variable_1="delta" variable_2="delta"/>
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<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"><rdf:Description rdf:about="/JO"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">JO</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">rate of oxygen consumption at the final stage of the electron transport chain</alternative></rdf:Description><rdf:Description rdf:about="rdf:#019b9efb-00c5-4d1b-bd67-ac99ff007e4c"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">2007-03-01</W3CDTF></rdf:Description><rdf:Description rdf:about="/delta_psi"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">delta_psi</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">mitochondrial inner membrane potential</alternative></rdf:Description><rdf:Description rdf:about="/Juni"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Juni</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">calcium flux into the mitochondria through a calcium uniporter</alternative></rdf:Description><rdf:Description rdf:about="rdf:#ba4b7891-ba81-492e-9252-f15e71613a1f"><Orgname xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">The University of Auckland</Orgname><Orgunit xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">The Bioengineering Institute</Orgunit></rdf:Description><rdf:Description rdf:about="/Cam"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Cam</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">mitochondrial calcium concentration</alternative></rdf:Description><rdf:Description rdf:about="rdf:#0ff5fc9d-4064-436d-b3b1-ae14222721b9"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Intra- and inter-islet synchronization of metabolically driven insulin secretion</title><volume xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">92</volume><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#2e328e3d-8d0f-4053-a33a-ec4a88ec02d1"/></creator><Journal xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#3fba7436-416c-4514-bf7f-3d2cb1195c92"/></Journal><first_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">1544</first_page><issued xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#019b9efb-00c5-4d1b-bd67-ac99ff007e4c"/></issued><last_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">1555</last_page></rdf:Description><rdf:Description rdf:about="/ATPm"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">ATPm</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">mitochondrial ATP</alternative></rdf:Description><rdf:Description rdf:about="rdf:#a3742dff-e666-4511-a0ea-e9d16928636b"><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#a2949648-b149-4e32-a597-d1f034845cbb"/></creator><rdf:value xml:lang="en">This CellML model has been coded by translating the authors original XPPAUT .ode file, which can be found at http://www.math.fsu.edu/~bertram/software/islet/BJ_07/mitophan.ode . The model runs in PCEnv and is able to produce the published results. The parameters have been chosen to recreate the bursting behaviour seen in figures 3 and 4 of the original paper.</rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#277e0dbd-6f8e-4ff3-92d0-655156f45996"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#61fa33eb-42ed-44dd-a832-ab693f11c1a7"/></N></rdf:Description><rdf:Description rdf:about="/n"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">n</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">voltage-dependent potassium current n gate</alternative></rdf:Description><rdf:Description rdf:about="/JHatp"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">JHatp</title><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">JGK</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">rate of the glucokinase reaction</alternative><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">rate of ATP-driven proton flux</alternative></rdf:Description><rdf:Description rdf:about="/adp"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">adp</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">cytosolic ADP concentration</alternative></rdf:Description><rdf:Description rdf:about="/JHleak"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">JHleak</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">proton leakage into the mitochodria down the proton gradient</alternative></rdf:Description><rdf:Description rdf:about="rdf:#bd76e739-47b5-44f8-8786-a92bd4721dbb"><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">May</Other><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Catherine</Given><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Lloyd</Family></rdf:Description><rdf:Description 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xmlns="http://purl.org/dc/terms/" xml:lang="en">mitochondrial NADH</alternative></rdf:Description><rdf:Description rdf:nodeID="n2"><pointDensity xmlns="http://www.cellml.org/metadata/simulation/1.0#nonstandard-" xml:lang="en">100000</pointDensity><endingValue xmlns="http://www.cellml.org/metadata/simulation/1.0#" xml:lang="en">600000</endingValue><maximumStepSize xmlns="http://www.cellml.org/metadata/simulation/1.0#" xml:lang="en">10</maximumStepSize></rdf:Description><rdf:Description rdf:about="rdf:#f9b85675-800a-4ad5-8700-fd7d6c3716b5"><rdf:type><rdf:Description rdf:about="http://imc.org/vCard/3.0#internet"/></rdf:type><rdf:value xml:lang="en">c.lloyd@auckland.ac.nz</rdf:value></rdf:Description><rdf:Description rdf:about="#bertram_2007"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en"> Bertram et al.'s 2007 mathematical model of the interaction between glycolysis and mitochondrial respiration in metabolic oscillations of pancreatic islets. </title><cmeta:comment><rdf:Description rdf:about="rdf:#f710ad62-688b-41ae-b40e-79b3ae921cc8"/></cmeta:comment><simulation xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:nodeID="n3"/></simulation><reference xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#012a3aab-34af-4afe-8650-4bdc34727035"/></reference><reference xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#42d5789e-bf3e-43fd-a29d-f58969be8d2e"/></reference></rdf:Description><rdf:Description rdf:about="rdf:#235d03f6-ee8d-445c-b18a-4e27c8e7b37e"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#27931d14-8e29-4d4c-9704-e1514c216d4a"/></N></rdf:Description><rdf:Description rdf:about="rdf:#1b325d19-ff55-4cd4-a5a5-e0b84a543161"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">2007-11-01T17:17:08+13:00</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#a2949648-b149-4e32-a597-d1f034845cbb"><FN xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Catherine Lloyd</FN></rdf:Description><rdf:Description rdf:nodeID="n3"><boundIntervals xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:nodeID="n1"/></boundIntervals></rdf:Description><rdf:Description rdf:about="/JHres"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">JHres</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">flux through respiration-driven proton pumps</alternative></rdf:Description><rdf:Description rdf:about="/JSERCA"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">JSERCA</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">rate of calcium flux into the endoplasmic reticulum through the SERCA pumps</alternative></rdf:Description><rdf:Description rdf:about="/Jhyd"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Jhyd</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">cytosolic hydrolysis of ATP</alternative></rdf:Description><rdf:Description rdf:about="/ADPm"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">ADPm</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">mitochondrial ADP</alternative></rdf:Description><rdf:Description rdf:about="rdf:#1cb2cf9d-6144-4a99-b4ef-13f14e54c321"><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Gram</Other><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Morten</Given><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Pedersen</Family></rdf:Description><rdf:Description rdf:about="rdf:#8e2efc20-61b3-4a1f-85e3-52bf9597aa7c"><rdf:value xml:lang="en">Updated curation status</rdf:value><modified xmlns="http://purl.org/dc/terms/"><rdf:Description 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This required a slight deviation from the equations in the published paper and the author's original .ODE code was used instead.</rdf:value><modified xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#1b325d19-ff55-4cd4-a5a5-e0b84a543161"/></modified><cmeta:modifier><rdf:Description rdf:about="rdf:#88e651a4-5feb-4853-a901-0bb4d9230bad"/></cmeta:modifier></rdf:Description><rdf:Description rdf:about="/NADm"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">NADm</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">mitochondrial NAD</alternative></rdf:Description><rdf:Description rdf:about="/JNaCa"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">JNaCa</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">calcium flux out of the mitochondria into the cytosol through the sodium-calcium ion exchanger</alternative></rdf:Description><rdf:Description rdf:about="rdf:#f2debc3c-1b1e-459d-803f-e36f0a2ccb6a"><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Richard</Other><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">James</Given><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Lawson</Family></rdf:Description><rdf:Description rdf:about="rdf:#27931d14-8e29-4d4c-9704-e1514c216d4a"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Arthur</Given><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Sherman</Family></rdf:Description><rdf:Description rdf:about="rdf:#f710ad62-688b-41ae-b40e-79b3ae921cc8"><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#3d8d3258-0dc1-4859-bc1f-da6fdb478381"/></creator><rdf:value xml:lang="en">This is a CellML description of Bertram et al.'s 2007 mathematical model of the interaction between glycolysis and mitochondrial respiration in metabolic oscillations of pancreatic islets.</rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#1be0a9c7-a41f-40c3-8833-31e4b7d5aa69"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Richard</Given><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Bertram</Family></rdf:Description><rdf:Description rdf:about="/JANT"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">JANT</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">rate of ADP and ATP flux through the adenine nucleotide translocator</alternative></rdf:Description><rdf:Description rdf:about="/m"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">m</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">voltage-dependent calcium current m gate</alternative></rdf:Description><rdf:Description rdf:about="/Ikatp"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Ikatp</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">ATP-sensitive potassium current</alternative></rdf:Description><rdf:Description rdf:about="rdf:#33d04e93-d71c-44b4-b72c-fae4c5e47d5d"><rdf:type><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#Bag"/></rdf:type><rdf:_3 xml:lang="en">glycolysis</rdf:_3><rdf:_1 xml:lang="en">insulin</rdf:_1><rdf:_5 xml:lang="en">mitochondria</rdf:_5><rdf:_2 xml:lang="en">pancreatic beta cell</rdf:_2><rdf:_4 xml:lang="en">endocrine</rdf:_4><rdf:_6 xml:lang="en">metabolism</rdf:_6></rdf:Description><rdf:Description rdf:about="rdf:#42d5789e-bf3e-43fd-a29d-f58969be8d2e"><subject xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#0b7c13cf-d604-4245-8e3b-56d4883bf1a5"/></subject></rdf:Description></rdf:RDF></model>