Location: Bertram, Satin, Zhang, Smolen, Sherman, 2004 @ c56bae631c14 / bertram_satin_zhang_smolen_sherman_2004_a.cellml
- Author:
- Catherine Lloyd <c.lloyd@auckland.ac.nz>
- Date:
- 2010-04-27 14:27:15+12:00
- Desc:
- Renamed models and re-parameterised the glycolytic version of the model.
- Permanent Source URI:
- https://models.cellml.org/workspace/bertram_satin_zhang_smolen_sherman_2004/rawfile/c56bae631c145b4fb5fe62aca6ef1e4db970b8bf/bertram_satin_zhang_smolen_sherman_2004_a.cellml
<?xml version='1.0' encoding='utf-8'?>
<model xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:ns7="http://www.cellml.org/metadata/simulation/1.0#" name="bertram_satin_zhang_smolen_sherman_2004_version01" cmeta:id="bertram_satin_zhang_smolen_sherman_2004_version01" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Calcium and Glycolysis Mediate Multiple Bursting Modes in Pancreatic Islets</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Auckland Bioengineering Institute, University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This model has been rebuilt and coded by translating the authors original XPPAUT.ode file, which can be found at http://www.math.fsu.edu/~bertram/software/islet/BJ_04a.ode. This file runs in PCEnv and COR and produces the expected output. This model has been parameterised for the 'glycolytic bursting' model. Some equations have inconsistent magnitudes due to the fact that time is defined in milliseconds, yet flux is defined in micromolar per second.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
ABSTRACT: Pancreatic islets of Langerhans produce bursts of electrical activity when exposed to stimulatory glucose levels. These bursts often have a regular repeating pattern, with a period of 10-60 s. In some cases, however, the bursts are episodic, clustered into bursts of bursts, which we call compound bursting. Consistent with this are recordings of free Ca2+ concentration, oxygen consumption, mitochondrial membrane potential, and intraislet glucose levels that exhibit very slow oscillations, with faster oscillations superimposed. We describe a new mathematical model of the pancreatic beta-cell that can account for these multimodal patterns. The model includes the feedback of cytosolic Ca2+ onto ion channels that can account for bursting, and a metabolic subsystem that is capable of producing slow oscillations driven by oscillations in glycolysis. This slow rhythm is responsible for the slow mode of compound bursting in the model. We also show that it is possible for glycolytic oscillations alone to drive a very slow form of bursting, which we call "glycolytic bursting." Finally, the model predicts that there is bistability between stationary and oscillatory glycolysis for a range of parameter values. We provide experimental support for this model prediction. Overall, the model can account for a diversity of islet behaviors described in the literature over the past 20 years.
</para>
<para>
Calcium and Glycolysis Mediate Multiple Bursting Modes in Pancreatic Islets, Richard Bertram, Leslie Satin, Min Zhang, Paul Smolen, and Arthur Sherman, 2004,
<emphasis>Biophysical Journal</emphasis>, 87, 3074-3087. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=15347584&dopt=Abstract">PubMed ID: 15347584</ulink>
</para>
<informalfigure float="0" id="fig_cell_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>cell diagram</title>
</objectinfo>
<imagedata fileref="bertram_2004.png"/>
</imageobject>
</mediaobject>
<caption>A schematic diagram of the ionic currents and fluxes across the ER and the cell surface membranes which are described by the mathematical model.</caption>
</informalfigure>
</sect1>
</article>
</documentation>
<units name="millisecond">
<unit units="second" prefix="milli"/>
</units>
<units name="minute">
<unit units="second" multiplier="60.0"/>
</units>
<units name="millivolt">
<unit units="volt" prefix="milli"/>
</units>
<units name="micromolar">
<unit units="mole" prefix="micro"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="nanoS">
<unit units="siemens" prefix="nano"/>
</units>
<units name="picoS">
<unit units="siemens" prefix="pico"/>
</units>
<units name="femtoF">
<unit units="farad" prefix="femto"/>
</units>
<units name="femtoA">
<unit units="ampere" prefix="femto"/>
</units>
<units name="per_second">
<unit units="second" exponent="-1"/>
</units>
<units name="first_order_rate_constant">
<unit units="millisecond" exponent="-1"/>
</units>
<units name="micromolar_per_femtoA_millisecond">
<unit units="micromolar"/>
<unit units="femtoA" exponent="-1"/>
<unit units="millisecond" exponent="-1"/>
</units>
<units name="flux">
<unit units="micromolar"/>
<unit units="second" exponent="-1"/>
</units>
<component name="environment">
<variable units="millisecond" public_interface="out" name="time"/>
</component>
<component name="membrane">
<variable units="millivolt" public_interface="out" name="V" initial_value="-60"/>
<variable units="femtoA" name="IK"/>
<variable units="femtoA" public_interface="out" name="ICa"/>
<variable units="femtoA" name="IKCa"/>
<variable units="femtoA" public_interface="in" name="IKATP"/>
<variable units="femtoF" name="Cm" initial_value="5300"/>
<variable units="picoS" name="gK" initial_value="2700"/>
<variable units="millivolt" public_interface="in" name="VK"/>
<variable units="dimensionless" name="n" initial_value="0"/>
<variable units="picoS" name="gKCa" initial_value="100"/>
<variable units="micromolar" name="kd" initial_value="0.5"/>
<variable units="micromolar" public_interface="in" name="c"/>
<variable units="picoS" name="gCa" initial_value="1000"/>
<variable units="dimensionless" name="minf"/>
<variable units="millivolt" name="VCa" initial_value="25"/>
<variable units="millisecond" name="taun" initial_value="20"/>
<variable units="millisecond" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="delta/t membrane voltage (V)">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>V</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>IK</ci>
<ci>ICa</ci>
<ci>IKCa</ci>
<ci>IKATP</ci>
</apply>
</apply>
<ci>Cm</ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="IK">
<apply>
<eq/>
<ci>IK</ci>
<apply>
<times/>
<ci>gK</ci>
<ci>n</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>VK</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="IKCa">
<apply>
<eq/>
<ci>IKCa</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>gKCa</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>kd</ci>
<ci>c</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>VK</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="ICa">
<apply>
<eq/>
<ci>ICa</ci>
<apply>
<times/>
<ci>gCa</ci>
<ci>minf</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>VCa</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="minf">
<apply>
<eq/>
<ci>minf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<cn cellml:units="millivolt">20</cn>
<ci>V</ci>
</apply>
</apply>
<cn cellml:units="millivolt">12</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="ninf">
<apply>
<eq/>
<ci>ninf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<cn cellml:units="millivolt">16</cn>
<ci>V</ci>
</apply>
</apply>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="delta/t delayed K+ rectifier activation (n)">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>n</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>ninf</ci>
<ci>n</ci>
</apply>
<ci>taun</ci>
</apply>
</apply>
</math>
<variable units="dimensionless" name="ninf"/>
</component>
<component name="calcium_handling">
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="micromolar" public_interface="out" name="c" initial_value="0.1"/>
<variable units="micromolar" public_interface="out" name="cer" initial_value="185"/>
<variable units="dimensionless" name="fcyt" initial_value="0.01"/>
<variable units="flux" name="Jmem"/>
<variable units="flux" name="Jer"/>
<variable units="dimensionless" name="fer" initial_value="0.01"/>
<variable units="dimensionless" name="sigmaV" initial_value="31"/>
<variable units="first_order_rate_constant" name="pleak" initial_value="0.0002"/>
<variable units="first_order_rate_constant" name="Kserca" initial_value="0.4"/>
<variable units="dimensionless" name="lambdaer" initial_value="1"/>
<variable units="dimensionless" name="epser" initial_value="1"/>
<variable units="micromolar_per_femtoA_millisecond" name="alpha" initial_value="0.00000450"/>
<variable units="femtoA" public_interface="in" name="ICa"/>
<variable units="first_order_rate_constant" name="kpmca" initial_value="0.2"/>
<variable units="flux" name="Jserca"/>
<variable units="flux" name="Jleak"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="delta/t free cytosolic Ca conc">
<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>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="delta/t free ER Ca conc">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>cer</ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<ci>fer</ci>
</apply>
<ci>sigmaV</ci>
<ci>Jer</ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="Jserca">
<apply>
<eq/>
<ci>Jserca</ci>
<apply>
<times/>
<ci>Kserca</ci>
<ci>c</ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="Jleak">
<apply>
<eq/>
<ci>Jleak</ci>
<apply>
<times/>
<ci>pleak</ci>
<apply>
<minus/>
<ci>cer</ci>
<ci>c</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="Jer">
<apply>
<eq/>
<ci>Jer</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>epser</ci>
<apply>
<minus/>
<ci>Jleak</ci>
<ci>Jserca</ci>
</apply>
</apply>
<ci>lambdaer</ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="Jmem">
<apply>
<eq/>
<ci>Jmem</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha</ci>
<ci>ICa</ci>
</apply>
<apply>
<times/>
<ci>kpmca</ci>
<ci>c</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="glycolysis">
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="flux" public_interface="out" name="rgpdh"/>
<variable units="per_second" name="Rgk" initial_value="0.2"/>
<variable units="micromolar" public_interface="out" name="atot" initial_value="3000"/>
<variable units="dimensionless" public_interface="out" name="pfkbas" initial_value="0.06"/>
<variable units="micromolar" public_interface="out" name="f6p"/>
<variable units="dimensionless" name="lambda" initial_value="0.005"/>
<variable units="micromolar" public_interface="in" name="pfk"/>
<variable units="micromolar" name="g6p" initial_value="200"/>
<variable units="micromolar" public_interface="out" name="fbp" initial_value="40"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="f6p">
<apply>
<eq/>
<ci>f6p</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.3</cn>
<ci>g6p</ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="rgpdh">
<apply>
<eq/>
<ci>rgpdh</ci>
<apply>
<times/>
<cn cellml:units="flux">0.2</cn>
<apply>
<root/>
<apply>
<divide/>
<ci>fbp</ci>
<cn cellml:units="micromolar">1</cn>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="delta/t fbp">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>fbp</ci>
</apply>
<apply>
<times/>
<ci>lambda</ci>
<apply>
<minus/>
<apply>
<divide/>
<ci>pfk</ci>
<cn cellml:units="millisecond">1</cn>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<ci>rgpdh</ci>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="delta/t g6p">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>g6p</ci>
</apply>
<apply>
<times/>
<ci>lambda</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>Rgk</ci>
<cn cellml:units="micromolar">1</cn>
</apply>
<apply>
<divide/>
<ci>pfk</ci>
<cn cellml:units="second">1</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="pfk">
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="micromolar" public_interface="out" name="pfk"/>
<variable units="dimensionless" name="bottom1" initial_value="1"/>
<variable units="dimensionless" public_interface="in" name="pfkbas"/>
<variable units="dimensionless" name="topa1" initial_value="0"/>
<variable units="micromolar" name="k1" initial_value="30"/>
<variable units="micromolar" name="k2" initial_value="1"/>
<variable units="micromolar" name="k3" initial_value="50000"/>
<variable units="micromolar" name="k4" initial_value="1000"/>
<variable units="dimensionless" name="cat" initial_value="2"/>
<variable units="micromolar" public_interface="in" name="atp"/>
<variable units="dimensionless" name="weight2"/>
<variable units="dimensionless" name="topa2"/>
<variable units="dimensionless" name="bottom2"/>
<variable units="micromolar" public_interface="in" name="f6p"/>
<variable units="dimensionless" name="topa3"/>
<variable units="dimensionless" name="weight3"/>
<variable units="dimensionless" name="bottom3"/>
<variable units="dimensionless" name="famp" initial_value="0.02"/>
<variable units="dimensionless" name="fatp" initial_value="20"/>
<variable units="dimensionless" name="ffbp" initial_value="0.2"/>
<variable units="dimensionless" name="fbt" initial_value="20"/>
<variable units="dimensionless" name="fmt" initial_value="20"/>
<variable units="dimensionless" name="weight4"/>
<variable units="dimensionless" name="topa4"/>
<variable units="dimensionless" name="bottom4"/>
<variable units="dimensionless" name="weight5"/>
<variable units="dimensionless" name="topa5"/>
<variable units="dimensionless" name="bottom5"/>
<variable units="dimensionless" name="weight6"/>
<variable units="dimensionless" name="topa6"/>
<variable units="dimensionless" name="bottom6"/>
<variable units="dimensionless" name="weight7"/>
<variable units="dimensionless" name="topa7"/>
<variable units="dimensionless" name="bottom7"/>
<variable units="dimensionless" name="weight8"/>
<variable units="dimensionless" name="topa8"/>
<variable units="dimensionless" name="bottom8"/>
<variable units="dimensionless" name="weight9"/>
<variable units="dimensionless" name="topa9"/>
<variable units="dimensionless" name="bottom9"/>
<variable units="dimensionless" name="weight10"/>
<variable units="dimensionless" name="topa10"/>
<variable units="dimensionless" name="bottom10"/>
<variable units="dimensionless" name="weight11"/>
<variable units="dimensionless" name="topa11"/>
<variable units="dimensionless" name="bottom11"/>
<variable units="dimensionless" name="weight12"/>
<variable units="dimensionless" name="topa12"/>
<variable units="dimensionless" name="bottom12"/>
<variable units="dimensionless" name="weight13"/>
<variable units="dimensionless" name="topa13"/>
<variable units="dimensionless" name="bottom13"/>
<variable units="dimensionless" name="weight14"/>
<variable units="dimensionless" name="topa14"/>
<variable units="dimensionless" name="bottom14"/>
<variable units="dimensionless" name="weight15"/>
<variable units="dimensionless" name="topa15"/>
<variable units="dimensionless" name="bottom15"/>
<variable units="dimensionless" name="weight16"/>
<variable units="dimensionless" name="topa16"/>
<variable units="dimensionless" name="bottom16"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="pfk">
<apply>
<eq/>
<ci>pfk</ci>
<apply>
<times/>
<cn cellml:units="micromolar">1</cn>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<ci>pfkbas</ci>
<ci>cat</ci>
<ci>topa16</ci>
</apply>
<apply>
<times/>
<ci>cat</ci>
<ci>topb</ci>
</apply>
</apply>
<ci>bottom16</ci>
</apply>
</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 cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<ci>k4</ci>
<cn 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 cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<ci>k3</ci>
<cn 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 cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<ci>fatp</ci>
<ci>k3</ci>
<ci>k4</ci>
<apply>
<power/>
<cn cellml:units="micromolar">1</cn>
<cn 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 cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>k2</ci>
<ci>k4</ci>
<ci>fbt</ci>
<cn 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 cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>k2</ci>
<ci>k3</ci>
<ci>ffbp</ci>
<cn 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 cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power/>
<ci>atp</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>k2</ci>
<ci>k3</ci>
<ci>k4</ci>
<ci>ffbp</ci>
<ci>fbt</ci>
<ci>fatp</ci>
<apply>
<power/>
<cn cellml:units="micromolar">1</cn>
<cn 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 cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>k1</ci>
<ci>k4</ci>
<ci>fmt</ci>
<cn 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 cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>k1</ci>
<ci>k3</ci>
<ci>famp</ci>
<cn 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 cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power/>
<ci>atp</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>k1</ci>
<ci>k3</ci>
<ci>k4</ci>
<ci>famp</ci>
<ci>fmt</ci>
<ci>fatp</ci>
<apply>
<power/>
<cn cellml:units="micromolar">1</cn>
<cn 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 cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>k1</ci>
<ci>k2</ci>
<ci>k4</ci>
<ci>fbt</ci>
<ci>fmt</ci>
<cn 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 cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>k1</ci>
<ci>k2</ci>
<ci>k3</ci>
<ci>ffbp</ci>
<ci>famp</ci>
<cn 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 cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power/>
<ci>atp</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>k1</ci>
<ci>k2</ci>
<ci>k3</ci>
<ci>k4</ci>
<ci>ffbp</ci>
<ci>famp</ci>
<ci>fbt</ci>
<ci>fmt</ci>
<ci>fatp</ci>
<apply>
<power/>
<cn cellml:units="micromolar">1</cn>
<cn 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>
<variable units="dimensionless" name="topb"/>
<variable units="micromolar" public_interface="in" name="fbp"/>
<variable units="micromolar" public_interface="in" name="amp"/>
</component>
<component name="KATP">
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="micromolar" name="mgadp"/>
<variable units="micromolar" name="adp3m"/>
<variable units="micromolar" name="atp4m"/>
<variable units="dimensionless" name="topo"/>
<variable units="dimensionless" name="bottomo"/>
<variable units="dimensionless" name="katpo"/>
<variable units="femtoA" public_interface="out" name="IKATP"/>
<variable units="millivolt" public_interface="out" name="VK" initial_value="-75"/>
<variable units="picoS" name="gkatpbar" initial_value="27000"/>
<variable units="micromolar" public_interface="in" name="atp"/>
<variable units="micromolar" public_interface="in" name="adp"/>
<variable units="dimensionless" name="kdd" initial_value="17"/>
<variable units="dimensionless" name="ktd" initial_value="26"/>
<variable units="dimensionless" name="ktt" initial_value="1"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="mgadp">
<apply>
<eq/>
<ci>mgadp</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.165</cn>
<ci>adp</ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="adp3m">
<apply>
<eq/>
<ci>adp3m</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.135</cn>
<ci>adp</ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="atp4m">
<apply>
<eq/>
<ci>atp4m</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.05</cn>
<ci>atp</ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="topo">
<apply>
<eq/>
<ci>topo</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.08</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>mgadp</ci>
</apply>
<apply>
<times/>
<ci>kdd</ci>
<cn cellml:units="micromolar">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.89</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>mgadp</ci>
<apply>
<times/>
<ci>kdd</ci>
<cn cellml:units="micromolar">1</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="bottomo">
<apply>
<eq/>
<ci>bottomo</ci>
<apply>
<times/>
<apply>
<power/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>mgadp</ci>
<apply>
<times/>
<ci>kdd</ci>
<cn cellml:units="micromolar">1</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>adp3m</ci>
<apply>
<times/>
<ci>ktd</ci>
<cn cellml:units="micromolar">1</cn>
</apply>
</apply>
<apply>
<divide/>
<ci>atp4m</ci>
<apply>
<times/>
<ci>ktt</ci>
<cn cellml:units="micromolar">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="katpo">
<apply>
<eq/>
<ci>katpo</ci>
<apply>
<divide/>
<ci>topo</ci>
<ci>bottomo</ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="ikatp">
<apply>
<eq/>
<ci>IKATP</ci>
<apply>
<times/>
<ci>gkatpbar</ci>
<ci>katpo</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>VK</ci>
</apply>
</apply>
</apply>
</math>
<variable units="millivolt" public_interface="in" name="V"/>
</component>
<component name="nucleotides">
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="micromolar" public_interface="out" name="atp"/>
<variable units="micromolar" public_interface="out" name="adp" initial_value="780"/>
<variable units="dimensionless" name="fback"/>
<variable units="dimensionless" name="taua" initial_value="300000"/>
<variable units="micromolar" name="r1" initial_value="0.35"/>
<variable units="micromolar" public_interface="in" name="c"/>
<variable units="dimensionless" name="r" initial_value="1"/>
<variable units="dimensionless" name="y"/>
<variable units="dimensionless" name="vg" initial_value="2.2"/>
<variable units="flux" public_interface="in" name="rgpdh"/>
<variable units="flux" name="kg" initial_value="10"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="delta/t adp">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>adp</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>atp</ci>
<apply>
<times/>
<ci>adp</ci>
<apply>
<exp/>
<apply>
<times/>
<ci>fback</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>c</ci>
<ci>r1</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>taua</ci>
<cn cellml:units="millisecond">1</cn>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="fback">
<apply>
<eq/>
<ci>fback</ci>
<apply>
<plus/>
<ci>r</ci>
<ci>y</ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="y">
<apply>
<eq/>
<ci>y</ci>
<apply>
<times/>
<ci>vg</ci>
<apply>
<divide/>
<ci>rgpdh</ci>
<apply>
<plus/>
<ci>kg</ci>
<ci>rgpdh</ci>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="atp">
<apply>
<eq/>
<ci>atp</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<apply>
<plus/>
<apply>
<minus/>
<ci>atot</ci>
<ci>adp</ci>
</apply>
<apply>
<times/>
<ci>rad</ci>
<cn cellml:units="micromolar">1</cn>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="amp">
<apply>
<eq/>
<ci>amp</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>adp</ci>
<ci>adp</ci>
</apply>
<ci>atp</ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="ratio">
<apply>
<eq/>
<ci>ratio</ci>
<apply>
<divide/>
<ci>atp</ci>
<ci>adp</ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="rad">
<apply>
<eq/>
<ci>rad</ci>
<apply>
<divide/>
<apply>
<root/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<minus/>
<ci>adp</ci>
<ci>atot</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<apply>
<power/>
<ci>adp</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="micromolar">1</cn>
</apply>
</apply>
</math>
<variable units="micromolar" public_interface="out" name="amp"/>
<variable units="dimensionless" name="rad"/>
<variable units="dimensionless" name="ratio"/>
<variable units="micromolar" public_interface="in" name="atot"/>
</component>
<connection>
<map_components component_2="membrane" component_1="environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="calcium_handling"/>
<map_variables variable_2="c" variable_1="c"/>
<map_variables variable_2="ICa" variable_1="ICa"/>
</connection>
<connection>
<map_components component_2="calcium_handling" component_1="environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="glycolysis" component_1="environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="pfk" component_1="environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="pfk" component_1="glycolysis"/>
<map_variables variable_2="pfkbas" variable_1="pfkbas"/>
<map_variables variable_2="f6p" variable_1="f6p"/>
<map_variables variable_2="fbp" variable_1="fbp"/>
<map_variables variable_2="pfk" variable_1="pfk"/>
</connection>
<connection>
<map_components component_2="pfk" component_1="nucleotides"/>
<map_variables variable_2="atp" variable_1="atp"/>
<map_variables variable_2="amp" variable_1="amp"/>
</connection>
<connection>
<map_components component_2="KATP" component_1="environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="KATP" component_1="nucleotides"/>
<map_variables variable_2="atp" variable_1="atp"/>
<map_variables variable_2="adp" variable_1="adp"/>
</connection>
<connection>
<map_components component_2="nucleotides" component_1="environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="nucleotides" component_1="calcium_handling"/>
<map_variables variable_2="c" variable_1="c"/>
</connection>
<connection>
<map_components component_2="nucleotides" component_1="glycolysis"/>
<map_variables variable_2="rgpdh" variable_1="rgpdh"/>
<map_variables variable_2="atot" variable_1="atot"/>
</connection>
<connection>
<map_components component_2="KATP" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="VK" variable_1="VK"/>
<map_variables variable_2="IKATP" variable_1="IKATP"/>
</connection>
<rdf:RDF>
<rdf:Bag rdf:about="rdf:#2a3e1a2b-3efe-41f2-8c13-bcdbf6801dac">
<rdf:li>calcium dynamics</rdf:li>
<rdf:li>insulin</rdf:li>
<rdf:li>glucose homeostasis</rdf:li>
<rdf:li>metabolism</rdf:li>
</rdf:Bag>
<rdf:Seq rdf:about="rdf:#2124e2ff-5d41-40b2-a651-67c3b6787e7c">
<rdf:li rdf:resource="rdf:#1ed204cd-f80d-4ea3-b59a-cffa82daf09f"/>
<rdf:li rdf:resource="rdf:#a8aed505-7b87-46ed-8b5d-884ca4ba0519"/>
<rdf:li rdf:resource="rdf:#f8f5c77e-f5c8-4c81-82ea-2b2edc761802"/>
<rdf:li rdf:resource="rdf:#a71e0f4f-d87f-4d0b-bed5-92fc2e3e6721"/>
<rdf:li rdf:resource="rdf:#53097ff0-df0c-405d-bc4a-e8445ed2ae27"/>
</rdf:Seq>
<rdf:Description rdf:about="rdf:#0dc39aa0-db10-4d97-8c6e-67589d7de059">
<dcterms:W3CDTF>2004-10-01T00:00:00+00:00</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#$PXk6c">
<ns7:endingValue>50000</ns7:endingValue>
<ns7:nonstandard-pointDensity>1000</ns7:nonstandard-pointDensity>
<ns7:maximumStepSize>1</ns7:maximumStepSize>
<ns7:nonstandard-algorithm>bdf15</ns7:nonstandard-algorithm>
</rdf:Description>
<rdf:Description rdf:about="rdf:#6653c6ac-9635-4cd2-8afd-c17be90ae8f0">
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
<rdf:value>c.lloyd@auckland.ac.nz</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#66cfb087-664f-45af-ba70-73782123fb9b">
<vCard:Given>James</vCard:Given>
<vCard:Family>Lawson</vCard:Family>
<vCard:Other>Richard</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#65a453a4-6ab1-48c8-8c02-32f56de9e1ed">
<dc:title>Biophysical Journal</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#192f4fc7-62be-4984-8571-779d0ba10ce7">
<dc:creator rdf:resource="rdf:#2124e2ff-5d41-40b2-a651-67c3b6787e7c"/>
<dc:title>Calcium and Glycolysis Mediate Multiple Bursting Modes in Pancreatic Islets</dc:title>
<bqs:volume/>
<bqs:first_page/>
<bqs:Journal rdf:resource="rdf:#65a453a4-6ab1-48c8-8c02-32f56de9e1ed"/>
<dcterms:issued rdf:resource="rdf:#5b896ec4-9265-4de2-bd31-282dbaae349f"/>
<bqs:last_page/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#f8f5c77e-f5c8-4c81-82ea-2b2edc761802">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#a338fdb7-fddd-4ddc-bd29-435873e48dcc"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1ed204cd-f80d-4ea3-b59a-cffa82daf09f">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#232d1cd2-fc51-4bc9-bf7f-854166c4ba7a"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1b99c82d-4187-4a5b-a4e6-54f6af9f38bc">
<dcterms:modified rdf:resource="rdf:#372f0ecc-b10a-46ec-b18f-c219a2a3dcce"/>
<rdf:value>updated curation status</rdf:value>
<cmeta:modifier rdf:resource="rdf:#c5de65a4-096f-4af5-875e-286658257c24"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#9764b949-02b7-45b5-bfba-bc3ab1da9e07">
<dc:creator rdf:resource="rdf:#0305ce0e-935d-4bb0-897d-9b62c9ba0a78"/>
<rdf:value>This is the CellML description of Bertram et al.'s 2004 mathematical model of calcium and glycolysis mediated bursting modes in pancreatic islets.</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#372f0ecc-b10a-46ec-b18f-c219a2a3dcce">
<dcterms:W3CDTF>2009-05-25T16:01:23+12:00</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a0204724-4450-47e7-9abc-7af712b328ae">
<vCard:Given>Leslie</vCard:Given>
<vCard:Family>Satin</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#bfd09617-5a7b-4390-b5a1-c7b97ba76d4f">
<vCard:Given>Paul</vCard:Given>
<vCard:Family>Smolen</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#232d1cd2-fc51-4bc9-bf7f-854166c4ba7a">
<vCard:Given>Richard</vCard:Given>
<vCard:Family>Bertram</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#53097ff0-df0c-405d-bc4a-e8445ed2ae27">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#14dadf03-865e-4d67-b899-ae96ea46b7f2"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a71e0f4f-d87f-4d0b-bed5-92fc2e3e6721">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#bfd09617-5a7b-4390-b5a1-c7b97ba76d4f"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#f4229a70-f5c3-4577-a9c2-d22e5a6071d5">
<dc:subject rdf:resource="rdf:#a38ddb22-28e6-4f64-8c75-532a81f52290"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#702cd21f-b3b0-42db-afb0-ca78885726b9">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>Auckland Bioengineering Institute</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="rdf:#ed567a85-ff6e-4247-a795-e37e1da5bc84">
<vCard:ORG rdf:resource="rdf:#702cd21f-b3b0-42db-afb0-ca78885726b9"/>
<vCard:EMAIL rdf:resource="rdf:#6653c6ac-9635-4cd2-8afd-c17be90ae8f0"/>
<vCard:N rdf:resource="rdf:#f456757a-25b7-4e82-afc9-6b23d3a46d54"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a338fdb7-fddd-4ddc-bd29-435873e48dcc">
<vCard:Given>Min</vCard:Given>
<vCard:Family>Zhang</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="#bertram_satin_zhang_smolen_sherman_2004_version01">
<ns7:simulation rdf:resource="rdf:#$NXk6c"/>
<dc:title>Bertram et al.'s 2004 mathematical model of calcium and glycolysis mediated bursting modes in pancreatic islets.</dc:title>
<cmeta:bio_entity>Pancreatic Islets</cmeta:bio_entity>
<cmeta:comment rdf:resource="rdf:#9764b949-02b7-45b5-bfba-bc3ab1da9e07"/>
<bqs:reference rdf:resource="rdf:#154eae70-f847-4385-9de1-43c9c158c7ac"/>
<bqs:reference rdf:resource="rdf:#f4229a70-f5c3-4577-a9c2-d22e5a6071d5"/>
</rdf:Description>
<rdf:Description rdf:about="">
<dc:title>Calcium and Glycolysis Mediate Multiple Bursting Modes in Pancreatic Islets (glycolytic bursting model)</dc:title>
<dc:publisher>The University of Auckland, Auckland Bioengineering Institute</dc:publisher>
<cmeta:comment rdf:resource="rdf:#c36fa8f8-f72f-49c0-8b7c-0d2467df1503"/>
<dcterms:created rdf:resource="rdf:#0dc39aa0-db10-4d97-8c6e-67589d7de059"/>
<dc:creator rdf:resource="rdf:#ed567a85-ff6e-4247-a795-e37e1da5bc84"/>
<cmeta:modification rdf:resource="rdf:#1b99c82d-4187-4a5b-a4e6-54f6af9f38bc"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#c5de65a4-096f-4af5-875e-286658257c24">
<vCard:N rdf:resource="rdf:#66cfb087-664f-45af-ba70-73782123fb9b"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#5b896ec4-9265-4de2-bd31-282dbaae349f">
<dcterms:W3CDTF>2004-09</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#$OXk6c">
<rdf:rest rdf:resource="http://www.w3.org/1999/02/22-rdf-syntax-ns#nil"/>
<rdf:first rdf:resource="rdf:#$PXk6c"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a8aed505-7b87-46ed-8b5d-884ca4ba0519">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#a0204724-4450-47e7-9abc-7af712b328ae"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#154eae70-f847-4385-9de1-43c9c158c7ac">
<bqs:Pubmed_id>15347584</bqs:Pubmed_id>
<bqs:JournalArticle rdf:resource="rdf:#192f4fc7-62be-4984-8571-779d0ba10ce7"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#$NXk6c">
<ns7:boundIntervals rdf:resource="rdf:#$OXk6c"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a38ddb22-28e6-4f64-8c75-532a81f52290">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value rdf:resource="rdf:#2a3e1a2b-3efe-41f2-8c13-bcdbf6801dac"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#c36fa8f8-f72f-49c0-8b7c-0d2467df1503">
<dc:creator rdf:resource="rdf:#12e153ad-1990-4f94-ade8-e8c10de52b42"/>
<rdf:value>This model has been rebuilt and coded by translating the authors original XPPAUT .ode file, which can be found at http://www.math.fsu.edu/~bertram/software/islet/BJ_04a.ode . This file runs in PCEnv and produces the output expected, however PCEnv is only able to produce one cycle of bursting. This is a pending issue.</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#14dadf03-865e-4d67-b899-ae96ea46b7f2">
<vCard:Given>Arthur</vCard:Given>
<vCard:Family>Sherman</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#12e153ad-1990-4f94-ade8-e8c10de52b42">
<vCard:FN>James Lawson</vCard:FN>
</rdf:Description>
<rdf:Description rdf:about="rdf:#f456757a-25b7-4e82-afc9-6b23d3a46d54">
<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>May</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#0305ce0e-935d-4bb0-897d-9b62c9ba0a78">
<vCard:FN>Catherine Lloyd</vCard:FN>
</rdf:Description>
</rdf:RDF>
</model>