- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2009-06-17 16:00:37+12:00
- Desc:
- committing version02 of sedaghat_sherman_quon_2002
- Permanent Source URI:
- https://models.cellml.org/workspace/sedaghat_sherman_quon_2002/rawfile/29cb300949c43ab284fc03f2555f5002d2879b4a/sedaghat_sherman_quon_2002.cellml
<?xml version='1.0' encoding='utf-8'?>
<!-- FILE :sedaghat_model_2002_version02.xml
CREATED : 30th May 2007
LAST MODIFIED : 30th May 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 Sedaghat, Sherman and Quon's 2002 mathematical model of metabolic insulin signaling pathways.
CHANGES:
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<article>
<articleinfo>
<title>A Mathematical Model of Metabolic Insulin Signalling Pathways</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
Insulin is a peptide hormone that influences metabolism by promoting glucose uptake into tissues. Insulin-stimulated glucose transport involves the translocation of glucose transporters (GLUT4) from an intracellular location to the plasma membrane (see the figure below). The identities of many of the intermediate components of the insulin signal transduction pathway have been elucidated. On binding insulin, the surface insulin receptor undergoes autophosphorylation and displays enhanced tyrosine kinase activity. Subsequently, downstream intracellular substances such as the insulin receptor substrate-1 (IRS-1) are phosphorylated, creating binding sites for SH2 containing proteins such as phosphatidylinositide 3-kinase (PI3K). This enzyme then catalyses the formation of phosphoinositol lipds such as PI(3,4,5)P<subscript>3</subscript>, which in turn activate 3-phosphoinositide-dependent protein kinase (PDK)-1. This then phosphorylates and activates other kinases such as protein kinase C (PKC) and Akt that mediate translocation of GLUT4. The identities of the elements linking PKC and Akt with GLUT4 translocation are as yet unknown, therefore the mechanisms underlying the control of insulin metabolism are not yet completely understood.
</para>
<para>
Complete understanding is also hindered by the complexity of signalling pathways. Many substrates are shared components of several pathways, and feedback and other interactions link individual pathways into complex signalling networks. Alfred Gilman has founded <ulink url="http://www.cellularsignaling.org/">The Alliance for Cellular Signaling</ulink> with the aim of integrating experimental data into theoretical models and increasing understanding of cell signalling. With this in mind, Ahmad R. Sedaghat, Arthur Sherman, and Michael J. Quon have developed a mathematical model of metabolic insulin signaling pathways. Their model has four main parts:
<itemizedlist>
<listitem>
<para>Insulin receptor binding subsystem;</para>
</listitem>
<listitem>
<para>Insulin receptor recycling subsystem;</para>
</listitem>
<listitem>
<para>Postreceptor signalling subsystem; and</para>
</listitem>
<listitem>
<para>Glut4 translocation subsystem.</para>
</listitem>
</itemizedlist>
All rate constants and model parameters are constrained by published experimental data. Model simulations are consistent with published experimental data, and the authors concluded that the mathematical modelling of signal transduction pathways is a useful approach for gaining insight into the complexities of metabolic insulin signalling.
</para>
<para>
The complete original paper reference is cited below:
</para>
<para>
<ulink url="http://ajpendo.physiology.org/cgi/content/abstract/283/5/E1084">A mathematical model of metabolic insulin signaling pathways</ulink>, Ahmad R. Sedaghat, Arthur Sherman, and Michael J. Quon, 2002, <ulink url="http://ajpendo.physiology.org/">
<emphasis>American Journal of Physiology</emphasis>
</ulink>, 283, E1084-E1101. (<ulink url="http://ajpendo.physiology.org/cgi/content/full/283/5/E1084">Full text</ulink> and <ulink url="http://ajpendo.physiology.org/cgi/reprint/283/5/E1084.pdf">PDF versions</ulink> of the article are available to subscribers on the American Journal of Physiology website.) <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=12376338&dopt=Abstract">PubMed ID: 12376338</ulink>
</para>
<para>
The raw CellML descriptions of the model can be downloaded in various formats as described in <xref linkend="sec_download_this_model"/>.
</para>
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<caption>Layout of the model elements.</caption>
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</sect1>
</article>
</documentation>
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<apply>
<times/>
<ci> k9_ </ci>
<ci> PTEN </ci>
<ci> x13 </ci>
</apply>
<apply>
<times/>
<ci> k9 </ci>
<ci> x14 </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="x15" name="x15">
<variable units="percentage" public_interface="out" name="x15" initial_value="0.29"/>
<variable units="first_order_rate_constant" public_interface="in" name="k10"/>
<variable units="first_order_rate_constant" public_interface="in" name="k10_"/>
<variable units="percentage" public_interface="in" name="x13"/>
<variable units="molar" public_interface="in" name="SHIP"/>
<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> x15 </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> k10_ </ci>
<ci> SHIP </ci>
<ci> x13 </ci>
</apply>
<apply>
<times/>
<ci> k10 </ci>
<ci> x15 </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="x16" name="x16">
<variable units="percentage" public_interface="out" name="x16" initial_value="100.0"/>
<variable units="first_order_rate_constant" public_interface="in" name="k11"/>
<variable units="first_order_rate_constant" public_interface="in" name="k11_"/>
<variable units="percentage" public_interface="in" name="x17"/>
<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> x16 </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> k11_ </ci>
<ci> x17 </ci>
</apply>
<apply>
<times/>
<ci> k11 </ci>
<ci> x16 </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="x17" name="x17">
<variable units="percentage" public_interface="out" name="x17" initial_value="0.0"/>
<variable units="first_order_rate_constant" public_interface="in" name="k11"/>
<variable units="first_order_rate_constant" public_interface="in" name="k11_"/>
<variable units="percentage" public_interface="in" name="x16"/>
<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> x17 </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> k11 </ci>
<ci> x16 </ci>
</apply>
<apply>
<times/>
<ci> k11_ </ci>
<ci> x17 </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="x18" name="x18">
<variable units="percentage" public_interface="out" name="x18" initial_value="100.0"/>
<variable units="first_order_rate_constant" public_interface="in" name="k12"/>
<variable units="first_order_rate_constant" public_interface="in" name="k12_"/>
<variable units="percentage" public_interface="in" name="x19"/>
<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> x18 </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> k12_ </ci>
<ci> x19 </ci>
</apply>
<apply>
<times/>
<ci> k12 </ci>
<ci> x18 </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="x19" name="x19">
<variable units="percentage" public_interface="out" name="x19" initial_value="0.0"/>
<variable units="first_order_rate_constant" public_interface="in" name="k12"/>
<variable units="first_order_rate_constant" public_interface="in" name="k12_"/>
<variable units="percentage" public_interface="in" name="x18"/>
<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> x19 </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> k12 </ci>
<ci> x18 </ci>
</apply>
<apply>
<times/>
<ci> k12_ </ci>
<ci> x19 </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="x20" name="x20">
<variable units="percentage" public_interface="out" name="x20" initial_value="96.0"/>
<variable units="first_order_rate_constant" public_interface="in" name="k13"/>
<variable units="first_order_rate_constant" public_interface="in" name="k13_"/>
<variable units="first_order_rate_constant" public_interface="in" name="k13b"/>
<variable units="first_order_rate_constant" public_interface="in" name="k14"/>
<variable units="first_order_rate_constant" public_interface="in" name="k14_"/>
<variable units="percentage" public_interface="in" name="x21"/>
<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> x20 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci> k13_ </ci>
<ci> x21 </ci>
</apply>
<ci> k14 </ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<plus/>
<ci> k13 </ci>
<ci> k13b </ci>
</apply>
<ci> x20 </ci>
</apply>
<apply>
<times/>
<ci> k14_ </ci>
<ci> x20 </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="x21" name="x21">
<variable units="percentage" public_interface="out" name="x21" initial_value="4.0"/>
<variable units="first_order_rate_constant" public_interface="in" name="k13"/>
<variable units="first_order_rate_constant" public_interface="in" name="k13_"/>
<variable units="first_order_rate_constant" public_interface="in" name="k13b"/>
<variable units="percentage" public_interface="in" name="x20"/>
<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> x21 </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> k13_ </ci>
<ci> x21 </ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci> k13 </ci>
<ci> k13b </ci>
</apply>
<ci> x20 </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="reaction_constants">
<variable units="molar" public_interface="out" name="PTP" initial_value="1.0"/>
<variable units="molar" public_interface="out" name="SHIP" initial_value="1.0"/>
<variable units="molar" public_interface="out" name="PTEN" initial_value="1.0"/>
<variable units="molar" public_interface="out" name="IRp" initial_value="8.97E-13"/>
<variable units="second_order_rate_constant" public_interface="out" name="k1" initial_value="6.0E7"/>
<variable units="first_order_rate_constant" public_interface="out" name="k1_" initial_value="0.20"/>
<variable units="second_order_rate_constant" public_interface="out" name="k2"/>
<variable units="first_order_rate_constant" public_interface="out" name="k2_"/>
<variable units="first_order_rate_constant" public_interface="out" name="k3" initial_value="2500.0"/>
<variable units="first_order_rate_constant" public_interface="out" name="k3_"/>
<variable units="first_order_rate_constant" public_interface="out" name="k4"/>
<variable units="first_order_rate_constant" public_interface="out" name="k4_" initial_value="0.003"/>
<variable units="first_order_rate_constant" public_interface="out" name="k4b" initial_value="2.1E-3"/>
<variable units="first_order_rate_constant" public_interface="out" name="k4b_" initial_value="2.1E-4"/>
<variable units="first_order_rate_constant" public_interface="out" name="k5"/>
<variable units="first_order_rate_constant" public_interface="out" name="k5_" initial_value="1.67E-18"/>
<variable units="first_order_rate_constant" public_interface="out" name="k6" initial_value="0.461"/>
<variable units="first_order_rate_constant" public_interface="out" name="k7" initial_value="4.16"/>
<variable units="first_order_rate_constant" public_interface="out" name="k7_"/>
<variable units="first_order_rate_constant" public_interface="out" name="k8"/>
<variable units="first_order_rate_constant" public_interface="out" name="k8_" initial_value="10.0"/>
<variable units="first_order_rate_constant" public_interface="out" name="k9"/>
<variable units="first_order_rate_constant" public_interface="out" name="k9_"/>
<variable units="first_order_rate_constant" public_interface="out" name="k10"/>
<variable units="first_order_rate_constant" public_interface="out" name="k10_" initial_value="2.77"/>
<variable units="first_order_rate_constant" public_interface="out" name="k11"/>
<variable units="first_order_rate_constant" public_interface="out" name="k11_"/>
<variable units="first_order_rate_constant" public_interface="out" name="k12"/>
<variable units="first_order_rate_constant" public_interface="out" name="k12_"/>
<variable units="first_order_rate_constant" public_interface="out" name="k13"/>
<variable units="first_order_rate_constant" public_interface="out" name="k13_" initial_value="0.167"/>
<variable units="first_order_rate_constant" public_interface="out" name="k13b"/>
<variable units="first_order_rate_constant" public_interface="out" name="k14"/>
<variable units="first_order_rate_constant" public_interface="out" name="k14_" initial_value="0.001155"/>
<variable units="first_order_rate_constant" name="k9_basal"/>
<variable units="first_order_rate_constant" name="k9_stimulated" initial_value="1.39"/>
<variable units="dimensionless" name="effect"/>
<variable units="dimensionless" name="APequil" initial_value="9.09"/>
<variable units="molar" name="PI3K" initial_value="5E-15"/>
<variable units="molar" public_interface="in" name="x6"/>
<variable units="molar" public_interface="in" name="x7"/>
<variable units="molar" public_interface="in" name="x8"/>
<variable units="molar" public_interface="in" name="x12"/>
<variable units="molar" public_interface="in" name="x13"/>
<variable units="percentage" public_interface="in" name="x17"/>
<variable units="percentage" public_interface="in" name="x19"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>k2</ci>
<ci>k1</ci>
</apply>
<apply>
<eq/>
<ci>k2_</ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 100.0 </cn>
<ci>k1_</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k3_</ci>
<ci>k1_</ci>
</apply>
<apply>
<eq/>
<ci>k4</ci>
<apply>
<divide/>
<ci>k4_</ci>
<cn cellml:units="dimensionless"> 9.0 </cn>
</apply>
</apply>
<apply>
<eq/>
<ci> k5 </ci>
<piecewise>
<piece>
<apply>
<times/>
<cn cellml:units="dimensionless"> 10.0 </cn>
<ci> k5_ </ci>
</apply>
<apply>
<gt/>
<apply>
<plus/>
<ci> x6 </ci>
<ci> x7 </ci>
<ci> x8 </ci>
</apply>
<cn cellml:units="molar"> 1.0E-13 </cn>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<cn cellml:units="dimensionless"> 60.0 </cn>
<ci> k5_ </ci>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>k7_</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 2.5 </cn>
<cn cellml:units="dimensionless"> 7.45 </cn>
</apply>
<ci>k7</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k8</ci>
<apply>
<times/>
<ci>k8_</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 5.0 </cn>
<cn cellml:units="dimensionless"> 70.775 </cn>
</apply>
<cn cellml:units="dimensionless"> 1.0E12 </cn>
</apply>
</apply>
<apply>
<eq/>
<ci>k9</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>k9_stimulated</ci>
<ci>k9_basal</ci>
</apply>
<apply>
<divide/>
<ci>x12</ci>
<ci>PI3K</ci>
</apply>
</apply>
<ci>k9_basal</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k9_</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 94.0 </cn>
<cn cellml:units="dimensionless"> 3.1 </cn>
</apply>
<ci>k9_stimulated</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k9_basal</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 0.31 </cn>
<cn cellml:units="dimensionless"> 99.4 </cn>
</apply>
<ci>k9_</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k10</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 3.1 </cn>
<cn cellml:units="dimensionless"> 2.9 </cn>
</apply>
<ci>k10_</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k11</ci>
<apply>
<times/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.1 </cn>
<ci>k11_</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>x13</ci>
<cn cellml:units="molar"> 0.31 </cn>
</apply>
<apply>
<minus/>
<cn cellml:units="molar"> 3.10 </cn>
<cn cellml:units="molar"> 0.31 </cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k11_</ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 10.0 </cn>
<apply>
<ln/>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k12</ci>
<apply>
<times/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.1 </cn>
<ci>k12_</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>x13</ci>
<cn cellml:units="molar"> 0.31 </cn>
</apply>
<apply>
<minus/>
<cn cellml:units="molar"> 3.10 </cn>
<cn cellml:units="molar"> 0.31 </cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k12_</ci>
<apply>
<times/>
<cn cellml:units="dimensionless"> 10.0 </cn>
<apply>
<ln/>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k13</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<cn cellml:units="dimensionless"> 96.0 </cn>
</apply>
<ci>k13_</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k13b</ci>
<apply>
<times/>
<apply>
<minus/>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 40.0 </cn>
<cn cellml:units="dimensionless"> 60.0 </cn>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 4.0 </cn>
<cn cellml:units="dimensionless"> 96.0 </cn>
</apply>
</apply>
<ci>k13_</ci>
<ci>effect</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k14</ci>
<apply>
<divide/>
<ci>k14_</ci>
<cn cellml:units="dimensionless"> 96.0 </cn>
</apply>
</apply>
<apply>
<eq/>
<ci>effect</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.2 </cn>
<ci>x17</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.8 </cn>
<ci>x19</ci>
</apply>
</apply>
<ci>APequil</ci>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_2="environment" component_1="x2"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x3"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x4"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x5"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x6"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x7"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x8"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x9"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x10"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x11"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x12"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x13"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x14"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x15"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x16"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x17"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x18"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x19"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x20"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="x21"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="x1" component_1="x2"/>
<map_variables variable_2="x1" variable_1="x1"/>
</connection>
<connection>
<map_components component_2="x3" component_1="x2"/>
<map_variables variable_2="x2" variable_1="x2"/>
<map_variables variable_2="x3" variable_1="x3"/>
</connection>
<connection>
<map_components component_2="x5" component_1="x2"/>
<map_variables variable_2="x5" variable_1="x5"/>
</connection>
<connection>
<map_components component_2="x6" component_1="x2"/>
<map_variables variable_2="x6" variable_1="x6"/>
<map_variables variable_2="x2" variable_1="x2"/>
</connection>
<connection>
<map_components component_2="x1" component_1="x3"/>
<map_variables variable_2="x1" variable_1="x1"/>
</connection>
<connection>
<map_components component_2="x1" component_1="x4"/>
<map_variables variable_2="x1" variable_1="x1"/>
</connection>
<connection>
<map_components component_2="x3" component_1="x5"/>
<map_variables variable_2="x3" variable_1="x3"/>
</connection>
<connection>
<map_components component_2="x5" component_1="x4"/>
<map_variables variable_2="x4" variable_1="x4"/>
<map_variables variable_2="x5" variable_1="x5"/>
</connection>
<connection>
<map_components component_2="x7" component_1="x4"/>
<map_variables variable_2="x4" variable_1="x4"/>
<map_variables variable_2="x7" variable_1="x7"/>
</connection>
<connection>
<map_components component_2="x1" component_1="x5"/>
<map_variables variable_2="x1" variable_1="x1"/>
</connection>
<connection>
<map_components component_2="x5" component_1="x8"/>
<map_variables variable_2="x8" variable_1="x8"/>
<map_variables variable_2="x5" variable_1="x5"/>
</connection>
<connection>
<map_components component_2="x7" component_1="x6"/>
<map_variables variable_2="x7" variable_1="x7"/>
</connection>
<connection>
<map_components component_2="x6" component_1="x8"/>
<map_variables variable_2="x8" variable_1="x8"/>
</connection>
<connection>
<map_components component_2="x10" component_1="x9"/>
<map_variables variable_2="x9" variable_1="x9"/>
<map_variables variable_2="x10" variable_1="x10"/>
</connection>
<connection>
<map_components component_2="x9" component_1="x4"/>
<map_variables variable_2="x4" variable_1="x4"/>
</connection>
<connection>
<map_components component_2="x5" component_1="x9"/>
<map_variables variable_2="x5" variable_1="x5"/>
</connection>
<connection>
<map_components component_2="x10" component_1="x4"/>
<map_variables variable_2="x4" variable_1="x4"/>
</connection>
<connection>
<map_components component_2="x5" component_1="x10"/>
<map_variables variable_2="x5" variable_1="x5"/>
</connection>
<connection>
<map_components component_2="x10" component_1="x11"/>
<map_variables variable_2="x11" variable_1="x11"/>
<map_variables variable_2="x10" variable_1="x10"/>
</connection>
<connection>
<map_components component_2="x10" component_1="x12"/>
<map_variables variable_2="x12" variable_1="x12"/>
<map_variables variable_2="x10" variable_1="x10"/>
</connection>
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<vCard:Given>Catherine</vCard:Given>
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Sedaghat, Sherman and Quon's 2002 mathematical model of metabolic insulin signaling pathways.
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<dcterms:W3CDTF>2007-05-30T00:00:00+00:00</dcterms:W3CDTF>
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<rdf:value>The new version of this model has been re-coded to remove the reaction element and replace it with a simple MathML description of the model reaction kinetics. This is thought to be truer to the original publication, and information regarding the enzyme kinetics etc will later be added to the metadata through use of an ontology.
The model runs in the PCEnv simulator and gives a nice curved output.</rdf:value>
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mathematical model of metabolic insulin signaling pathways.</rdf:value>
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<vCard:Other>J</vCard:Other>
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<dcterms:W3CDTF>2002-11</dcterms:W3CDTF>
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<dc:title>A mathematical model of metabolic insulin signaling pathways</dc:title>
<bqs:volume>283</bqs:volume>
<bqs:first_page>E1084</bqs:first_page>
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<bqs:last_page>E1101</bqs:last_page>
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<vCard:Given>Catherine</vCard:Given>
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<vCard:Given>Ahmad</vCard:Given>
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<vCard:Other>R</vCard:Other>
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