- Author:
- Hanne <Hanne@hanne-nielsens-macbook.local>
- Date:
- 2009-12-15 11:56:51+13:00
- Desc:
- Added image in i and svg format, removed non pub med reference
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/westermark_lansner_2003/rawfile/e9ea2149d7097296cfbaf27bd44b8ab7419ada43/westermark_lansner_2003.cellml
<?xml version='1.0' encoding='utf-8'?>
<!-- FILE : westermark_model_2003.xml
CREATED : 8th October 2004
LAST MODIFIED : 8th October 2004
AUTHOR : Catherine Lloyd
Bioengineering Institute
The University of Auckland
MODEL STATUS : This model conforms to the CellML 1.0 Specification released on
10th August 2001, and the 16/01/2002 CellML Metadata 1.0 Specification.
DESCRIPTION : This file contains a CellML description of Westermark and Lansner's 2003 mathematical model of phosphofructokinase and glycolytic oscillations in the pancreatic beta-cell.
CHANGES:
--><model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" cmeta:id="westermark_lansner_2003_version01" name="westermark_lansner_2003_version01">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>A Model of Pancreatic Beta-Cell Glycolysis</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 is the original unchecked version of the model imported from the previous
CellML model repository, 24-Jan-2006.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
Understanding stimulus-secretion coupling in pancreatic beta-cells is important for the understanding of glucose homeostasis in diabetes. According to the glucose-mediated stimulus-secretion theory, glucose enters the pancreatic beta-cell via a membrane bound glucose transporter. Once inside the cell it enters the glycolysis pathway where, via several enzyme catalysed steps, it is converted to pyruvate and this then enters the mitochondria. This process increases the ATP to ADP ratio, which in turn causes ATP-sensitive K<superscript>+</superscript> channels to close. The resulting membrane depolarisation opens voltage-sensitive Ca<superscript>2+</superscript> channels resulting in an increased cytosolic calcium concentration ([Ca<superscript>2+</superscript>]<subscript>i</subscript>), which in turn is correlated with insulin secretion from secretory vesicles.
</para>
<para>
The complexity of this system has been described by several mathematical models which have focused on fast bursting in beta-cells. (such as Chay, Extracellular and Intracellular Calcium Effects on Pancreatic Beta Cells, 1997). Slower oscillations, which correlate with insulin secretion, are thought to be due to oscillations in glycolysis. In the study described here, Westermark and Lansner suggest a theoretical model of glycolytic oscillations in the pancreatic beta-cell (see the figure below). Their minimal model couples glucose to the phosphofructokinase (PFK) catalysed reaction. This enzyme is known to cause glycolytic oscillations in yeast and in muscle, and it is also thought to be playing a role in the oscillations in beta-cell glycolysis.
</para>
<para>
The complete original paper reference is cited below:
</para>
<para>
A Model of Phosphofructokinase and Glycolytic Oscillations in the Pancreatic Beta-cell, Pal O. Westermark and Anders Lansner, 2003, <emphasis>Biophysical Journal</emphasis>, 85, 126-139. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=12829470&dopt=Abstract">PubMed ID: 12829470</ulink>
</para>
<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>reaction diagram</title>
</objectinfo>
<imagedata fileref="westermark_2003.png"/>
</imageobject>
</mediaobject>
<caption>Schematic representation of the mathematical model of glycolysis. The fluxes over the enzyme catalysed reactions are denoted <emphasis>v</emphasis>.</caption>
</informalfigure>
</sect1>
</article>
</documentation>
<units name="minute">
<unit units="second" multiplier="60.0"/>
</units>
<units name="millimolar">
<unit units="mole" prefix="milli"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="micromolar">
<unit units="mole" prefix="micro"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="micromole">
<unit units="mole" prefix="micro"/>
</units>
<units name="enzyme_activity">
<unit units="micromole"/>
<unit units="gram" exponent="-1"/>
<unit units="minute" exponent="-1"/>
</units>
<units name="flux">
<unit units="micromolar"/>
<unit units="minute" exponent="-1"/>
</units>
<component name="environment">
<variable units="second" public_interface="out" name="time"/>
</component>
<component cmeta:id="v_GK" name="v_GK">
<variable units="flux" public_interface="out" name="v_GK"/>
<variable units="enzyme_activity" name="V_GK" initial_value="10.0"/>
<variable units="millimolar" name="S0_5_GK" initial_value="8.0"/>
<variable units="dimensionless" name="h_GK" initial_value="1.7"/>
<variable units="micromolar" public_interface="in" name="Glc"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci> v_GK </ci>
<apply>
<divide/>
<apply>
<times/>
<ci> V_GK </ci>
<apply>
<power/>
<apply>
<divide/>
<ci> Glc </ci>
<ci> S0_5_GK </ci>
</apply>
<ci> h_GK </ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<power/>
<apply>
<divide/>
<ci> Glc </ci>
<ci> S0_5_GK </ci>
</apply>
<ci> h_GK </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="v_GPI" name="v_GPI">
<variable units="flux" public_interface="out" name="v_GPI"/>
<variable units="dimensionless" name="Keq_GPI" initial_value="0.3"/>
<variable units="micromolar" public_interface="in" name="G6P"/>
<variable units="micromolar" public_interface="in" name="F6P"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci> v_GPI </ci>
<apply>
<times/>
<ci> Keq_GPI </ci>
<ci> G6P </ci>
<ci> F6P </ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="v_PFK" name="v_PFK">
<variable units="flux" public_interface="out" name="v_PFK"/>
<variable units="dimensionless" public_interface="out" name="pi"/>
<variable units="enzyme_activity" name="V_PFK" initial_value="100.0"/>
<variable units="millimolar" name="S0_5_PFK" initial_value="4.0"/>
<variable units="micromolar" name="S0_5_FBA" initial_value="5.0"/>
<variable units="micromolar" name="X0_5" initial_value="10.0"/>
<variable units="dimensionless" name="sigma"/>
<variable units="dimensionless" name="alpha"/>
<variable units="dimensionless" name="q"/>
<variable units="dimensionless" name="h_PFK" initial_value="2.5"/>
<variable units="dimensionless" name="h_PFK_"/>
<variable units="dimensionless" name="h_act" initial_value="1.0"/>
<variable units="enzyme_activity" name="k_cat_K_PFK" initial_value="233.0"/>
<variable units="millimolar" name="KT" initial_value="2.0"/>
<variable units="millimolar" name="KO" initial_value="30.0"/>
<variable units="micromolar" public_interface="in" name="FBP"/>
<variable units="micromolar" public_interface="in" name="F6P"/>
<variable units="micromolar" public_interface="in" name="Glc"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci> v_PFK </ci>
<apply>
<divide/>
<apply>
<times/>
<ci> V_PFK </ci>
<apply>
<power/>
<apply>
<divide/>
<ci> Glc </ci>
<ci> S0_5_PFK </ci>
</apply>
<ci> h_PFK </ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<power/>
<apply>
<divide/>
<ci> Glc </ci>
<ci> S0_5_PFK </ci>
</apply>
<ci> h_PFK </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci> alpha </ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 5.0 </cn>
<ci> h_PFK_ </ci>
</apply>
</apply>
<apply>
<eq/>
<ci> sigma </ci>
<apply>
<divide/>
<ci> F6P </ci>
<ci> S0_5_PFK </ci>
</apply>
</apply>
<apply>
<eq/>
<ci> pi </ci>
<apply>
<divide/>
<ci> FBP </ci>
<apply>
<times/>
<ci> S0_5_FBA </ci>
<ci> S0_5_PFK </ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci> q </ci>
<apply>
<divide/>
<ci> S0_5_FBA </ci>
<ci> X0_5 </ci>
</apply>
</apply>
<apply>
<eq/>
<ci> h_PFK_ </ci>
<apply>
<minus/>
<ci> h_PFK </ci>
<apply>
<times/>
<apply>
<minus/>
<ci> h_PFK </ci>
<ci> h_act </ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci> q </ci>
<ci> pi </ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<times/>
<ci> q </ci>
<ci> pi </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci> S0_5_PFK </ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<power/>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 0.25 </cn>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> V_PFK </ci>
</apply>
<ci> k_cat_K_PFK </ci>
</apply>
</apply>
<cn cellml:units="dimensionless"> 0.5 </cn>
</apply>
<cn cellml:units="dimensionless"> 0.5 </cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci> KT </ci>
<cn cellml:units="dimensionless"> -1.0 </cn>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci> KO </ci>
<cn cellml:units="dimensionless"> -1.0 </cn>
</apply>
<apply>
<minus/>
<apply>
<power/>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 0.25 </cn>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> V_PFK </ci>
</apply>
<ci> k_cat_K_PFK </ci>
</apply>
</apply>
<cn cellml:units="dimensionless"> 0.5 </cn>
</apply>
<cn cellml:units="dimensionless"> 0.5 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci> k_cat_K_PFK </ci>
<apply>
<divide/>
<ci> V_PFK </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
</apply>
</math>
</component>
<component cmeta:id="v_FBA" name="v_FBA">
<variable units="flux" public_interface="out" name="v_FBA"/>
<variable units="dimensionless" public_interface="out" name="rho"/>
<variable units="enzyme_activity" name="V_FBA" initial_value="25.0"/>
<variable units="millimolar" name="Q0_5_FBA" initial_value="0.275"/>
<variable units="millimolar" name="P0_5_FBA" initial_value="0.5"/>
<variable units="micromolar" name="S0_5_GAPD" initial_value="5.0"/>
<variable units="millimolar" name="Keq_FBA" initial_value="0.1"/>
<variable units="dimensionless" name="r"/>
<variable units="dimensionless" name="p"/>
<variable units="dimensionless" public_interface="in" name="pi"/>
<variable units="dimensionless" public_interface="in" name="Keq_TPI"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci> v_FBA </ci>
<apply>
<divide/>
<apply>
<times/>
<ci> V_FBA </ci>
<ci> pi </ci>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<divide/>
<apply>
<times/>
<ci> p </ci>
<ci> r </ci>
<apply>
<power/>
<ci> rho </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
<apply>
<times/>
<ci> pi </ci>
<ci> Keq_FBA </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> pi </ci>
<apply>
<times/>
<ci> r </ci>
<ci> rho </ci>
</apply>
<apply>
<times/>
<ci> p </ci>
<ci> r </ci>
<apply>
<power/>
<ci> rho </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci> p </ci>
<apply>
<divide/>
<ci> S0_5_GAPD </ci>
<ci> P0_5_FBA </ci>
</apply>
</apply>
<apply>
<eq/>
<ci> r </ci>
<apply>
<divide/>
<ci> S0_5_GAPD </ci>
<apply>
<times/>
<ci> Q0_5_FBA </ci>
<ci> Keq_TPI </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="v_TPI" name="v_TPI">
<variable units="flux" public_interface="out" name="v_TPI"/>
<variable units="dimensionless" public_interface="out" name="Keq_TPI" initial_value="0.045"/>
<variable units="micromolar" public_interface="in" name="DHAP"/>
<variable units="micromolar" public_interface="in" name="G3P"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci> v_TPI </ci>
<apply>
<times/>
<ci> Keq_TPI </ci>
<ci> DHAP </ci>
<ci> G3P </ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="v_GAPD" name="v_GAPD">
<variable units="flux" public_interface="out" name="v_GAPD"/>
<variable units="enzyme_activity" name="V_GAPD" initial_value="250.0"/>
<variable units="dimensionless" public_interface="in" name="rho"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci> v_GAPD </ci>
<apply>
<divide/>
<apply>
<times/>
<ci> V_GAPD </ci>
<ci> rho </ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> rho </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="Glc" name="Glc">
<variable units="micromolar" public_interface="out" name="Glc"/>
<variable units="flux" public_interface="in" name="v_GK"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci> Glc </ci>
</apply>
<ci> v_GK </ci>
</apply>
</math>
</component>
<component cmeta:id="G6P" name="G6P">
<variable units="micromolar" public_interface="out" name="G6P"/>
<variable units="flux" public_interface="in" name="v_GK"/>
<variable units="flux" public_interface="in" name="v_GPI"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci> G6P </ci>
</apply>
<apply>
<plus/>
<ci> v_GK </ci>
<ci> v_GPI </ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="F6P" name="F6P">
<variable units="micromolar" public_interface="out" name="F6P"/>
<variable units="flux" public_interface="in" name="v_PFK"/>
<variable units="flux" public_interface="in" name="v_GPI"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci> F6P </ci>
</apply>
<apply>
<plus/>
<ci> v_PFK </ci>
<ci> v_GPI </ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="FBP" name="FBP">
<variable units="micromolar" public_interface="out" name="FBP"/>
<variable units="flux" public_interface="in" name="v_PFK"/>
<variable units="flux" public_interface="in" name="v_FBA"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci> FBP </ci>
</apply>
<apply>
<plus/>
<ci> v_PFK </ci>
<ci> v_FBA </ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="DHAP" name="DHAP">
<variable units="micromolar" public_interface="out" name="DHAP"/>
<variable units="flux" public_interface="in" name="v_TPI"/>
<variable units="flux" public_interface="in" name="v_FBA"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci> DHAP </ci>
</apply>
<apply>
<plus/>
<ci> v_TPI </ci>
<ci> v_FBA </ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="G3P" name="G3P">
<variable units="micromolar" public_interface="out" name="G3P"/>
<variable units="flux" public_interface="in" name="v_TPI"/>
<variable units="flux" public_interface="in" name="v_GAPD"/>
<variable units="flux" public_interface="in" name="v_FBA"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci> G3P </ci>
</apply>
<apply>
<plus/>
<ci> v_TPI </ci>
<ci> v_GAPD </ci>
<ci> v_FBA </ci>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_2="environment" component_1="Glc"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="G6P"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="F6P"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="FBP"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="DHAP"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="G3P"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="Glc" component_1="v_GK"/>
<map_variables variable_2="Glc" variable_1="Glc"/>
<map_variables variable_2="v_GK" variable_1="v_GK"/>
</connection>
<connection>
<map_components component_2="G6P" component_1="v_GK"/>
<map_variables variable_2="v_GK" variable_1="v_GK"/>
</connection>
<connection>
<map_components component_2="G6P" component_1="v_GPI"/>
<map_variables variable_2="G6P" variable_1="G6P"/>
<map_variables variable_2="v_GPI" variable_1="v_GPI"/>
</connection>
<connection>
<map_components component_2="F6P" component_1="v_GPI"/>
<map_variables variable_2="F6P" variable_1="F6P"/>
<map_variables variable_2="v_GPI" variable_1="v_GPI"/>
</connection>
<connection>
<map_components component_2="Glc" component_1="v_PFK"/>
<map_variables variable_2="Glc" variable_1="Glc"/>
</connection>
<connection>
<map_components component_2="F6P" component_1="v_PFK"/>
<map_variables variable_2="v_PFK" variable_1="v_PFK"/>
<map_variables variable_2="F6P" variable_1="F6P"/>
</connection>
<connection>
<map_components component_2="FBP" component_1="v_PFK"/>
<map_variables variable_2="FBP" variable_1="FBP"/>
<map_variables variable_2="v_PFK" variable_1="v_PFK"/>
</connection>
<connection>
<map_components component_2="FBP" component_1="v_FBA"/>
<map_variables variable_2="v_FBA" variable_1="v_FBA"/>
</connection>
<connection>
<map_components component_2="DHAP" component_1="v_FBA"/>
<map_variables variable_2="v_FBA" variable_1="v_FBA"/>
</connection>
<connection>
<map_components component_2="G3P" component_1="v_FBA"/>
<map_variables variable_2="v_FBA" variable_1="v_FBA"/>
</connection>
<connection>
<map_components component_2="DHAP" component_1="v_TPI"/>
<map_variables variable_2="DHAP" variable_1="DHAP"/>
<map_variables variable_2="v_TPI" variable_1="v_TPI"/>
</connection>
<connection>
<map_components component_2="G3P" component_1="v_TPI"/>
<map_variables variable_2="G3P" variable_1="G3P"/>
<map_variables variable_2="v_TPI" variable_1="v_TPI"/>
</connection>
<connection>
<map_components component_2="G3P" component_1="v_GAPD"/>
<map_variables variable_2="v_GAPD" variable_1="v_GAPD"/>
</connection>
<connection>
<map_components component_2="v_FBA" component_1="v_PFK"/>
<map_variables variable_2="pi" variable_1="pi"/>
</connection>
<connection>
<map_components component_2="v_GAPD" component_1="v_FBA"/>
<map_variables variable_2="rho" variable_1="rho"/>
</connection>
<connection>
<map_components component_2="v_TPI" component_1="v_FBA"/>
<map_variables variable_2="Keq_TPI" variable_1="Keq_TPI"/>
</connection>
<rdf:RDF>
<rdf:Bag rdf:about="rdf:#d0754363-615c-459e-aea3-bc600904a39b">
<rdf:li>glycolysis</rdf:li>
<rdf:li>pfk</rdf:li>
<rdf:li>oscillator</rdf:li>
<rdf:li>beta cell</rdf:li>
<rdf:li>glycolytic oscillations</rdf:li>
<rdf:li>metabolism</rdf:li>
<rdf:li>pancreas</rdf:li>
</rdf:Bag>
<rdf:Seq rdf:about="rdf:#85bf944c-93f5-4d13-b3b7-822395639261">
<rdf:li rdf:resource="rdf:#7abee6f9-877b-4d39-8964-44849177f6fb"/>
<rdf:li rdf:resource="rdf:#d707b75e-84db-4dcc-883e-3e27b9ed6186"/>
</rdf:Seq>
<rdf:Description rdf:about="#F6P">
<dcterms:alternative>fructose-6-phosphate</dcterms:alternative>
<dc:title>F6P</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#b9f05638-ffcd-4ebc-84db-a471dc8430e2">
<dcterms:W3CDTF>2004-10-08</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="#v_TPI">
<dcterms:alternative>triosphosphate-phosphate isomerase reaction</dcterms:alternative>
<dc:title>v_TPI</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#716c8851-710d-4a46-8833-9914836394f9">
<bqs:Pubmed_id>12829470</bqs:Pubmed_id>
<bqs:JournalArticle rdf:resource="rdf:#da9f788b-d818-4fee-9ce0-128932e0cd69"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#d707b75e-84db-4dcc-883e-3e27b9ed6186">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#98eaf4f9-0bd3-4bf8-b083-a4f731a38b54"/>
</rdf:Description>
<rdf:Description rdf:about="#G6P">
<dcterms:alternative>glucose-6-phosphate</dcterms:alternative>
<dc:title>G6P</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#v_GK">
<dcterms:alternative>glucokinase reaction</dcterms:alternative>
<dc:title>v_GK</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#0df336c4-18b6-4280-91db-b7c73336784d">
<dc:subject rdf:resource="rdf:#4d8b2575-ee4a-4ca8-a84f-31a56a3e2d95"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#10f8ab20-2d2f-4e0e-a5fc-872beeb6c8c8">
<dc:title>Biophysical Journal</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#22ab6691-d506-4137-af3c-cf18011bb1f2">
<vCard:Given>Pal</vCard:Given>
<vCard:Family>Westermark</vCard:Family>
<vCard:Other>O</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#8deb91a4-89f1-46bd-b622-aa0dae0d4004">
<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="#Glc">
<dcterms:alternative>glucose</dcterms:alternative>
<dc:title>Glc</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#98eaf4f9-0bd3-4bf8-b083-a4f731a38b54">
<vCard:Given>Anders</vCard:Given>
<vCard:Family>Lansner</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#e9c14aa6-4344-4af3-aa5e-e362888eb57e">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="#FBP">
<dcterms:alternative>fructose-1,6-bisphosphate</dcterms:alternative>
<dc:title>FBP</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#4d8b2575-ee4a-4ca8-a84f-31a56a3e2d95">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value rdf:resource="rdf:#d0754363-615c-459e-aea3-bc600904a39b"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#8a970c47-6537-41ab-9d82-f4284b18ba07">
<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>May</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="#v_PFK">
<dcterms:alternative>phosphofructokinase reaction</dcterms:alternative>
<dc:title>v_PFK</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#G3P">
<dcterms:alternative>glyceraldehyde-3-phosphate</dcterms:alternative>
<dc:title>G3P</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#32c3d7ee-624f-4108-9de4-08646884d5e0">
<dc:creator rdf:resource="rdf:#2a581743-e8d2-4794-9f47-39505774d1f3"/>
<rdf:value>
This is the CellML description of Westermark and Lansner's 2003 mathematical model of phosphofructokinase and glycolytic oscillations in the pancreatic beta-cell.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#v_GAPD">
<dcterms:alternative>glyceraldehyde-3-phosphate dehydrogenase reaction</dcterms:alternative>
<dc:title>v_GAPD</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#daada44e-1ef4-45f9-9fa5-33e090936fb5">
<dcterms:W3CDTF>2003-07</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2a581743-e8d2-4794-9f47-39505774d1f3">
<vCard:FN>Catherine Lloyd</vCard:FN>
</rdf:Description>
<rdf:Description rdf:about="#v_FBA">
<dcterms:alternative>fructose-bisphosphate aldolase reaction</dcterms:alternative>
<dc:title>v_FBA</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#DHAP">
<dcterms:alternative>dihydroxyacetone-phosphate</dcterms:alternative>
<dc:title>DHAP</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#da9f788b-d818-4fee-9ce0-128932e0cd69">
<dc:creator rdf:resource="rdf:#85bf944c-93f5-4d13-b3b7-822395639261"/>
<dc:title>
A Model of Phosphofructokinase and Glycolytic Oscillations in the Pancreatic Beta-cell
</dc:title>
<bqs:volume>85</bqs:volume>
<bqs:first_page>126</bqs:first_page>
<bqs:Journal rdf:resource="rdf:#10f8ab20-2d2f-4e0e-a5fc-872beeb6c8c8"/>
<dcterms:issued rdf:resource="rdf:#daada44e-1ef4-45f9-9fa5-33e090936fb5"/>
<bqs:last_page>139</bqs:last_page>
</rdf:Description>
<rdf:Description rdf:about="">
<dc:publisher>
The University of Auckland, Bioengineering Institute
</dc:publisher>
<dcterms:created rdf:resource="rdf:#b9f05638-ffcd-4ebc-84db-a471dc8430e2"/>
<dc:creator rdf:resource="rdf:#168c0f76-dc63-4119-a4b8-94e9f3d314e0"/>
</rdf:Description>
<rdf:Description rdf:about="#westermark_lansner_2003_version01">
<dc:title>
Westermark and Lansner's 2003 mathematical model of phosphofructokinase and glycolytic oscillations in the pancreatic beta-cell.
</dc:title>
<cmeta:bio_entity>Pancreatic beta-cell</cmeta:bio_entity>
<cmeta:comment rdf:resource="rdf:#32c3d7ee-624f-4108-9de4-08646884d5e0"/>
<bqs:reference rdf:resource="rdf:#0df336c4-18b6-4280-91db-b7c73336784d"/>
<bqs:reference rdf:resource="rdf:#716c8851-710d-4a46-8833-9914836394f9"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#168c0f76-dc63-4119-a4b8-94e9f3d314e0">
<vCard:ORG rdf:resource="rdf:#e9c14aa6-4344-4af3-aa5e-e362888eb57e"/>
<vCard:EMAIL rdf:resource="rdf:#8deb91a4-89f1-46bd-b622-aa0dae0d4004"/>
<vCard:N rdf:resource="rdf:#8a970c47-6537-41ab-9d82-f4284b18ba07"/>
</rdf:Description>
<rdf:Description rdf:about="#v_GPI">
<dcterms:alternative>glucose-6-phosphate isomerase reaction</dcterms:alternative>
<dc:title>v_GPI</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7abee6f9-877b-4d39-8964-44849177f6fb">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#22ab6691-d506-4137-af3c-cf18011bb1f2"/>
</rdf:Description>
</rdf:RDF>
</model>
