Location: Houart, Dupont and Goldbeter 1999 @ 2fcb46f74a8b / constitutive_law2.cellml

Author:
Mona Zhu <devnull@localhost>
Date:
2011-01-12 16:56:04+13:00
Desc:
new 1.1 models added.
Permanent Source URI:
https://models.physiomeproject.org/workspace/houart_dupont_goldbeter_1999/rawfile/2fcb46f74a8bd80672d64a051a8b9a5eef2a35d7/constitutive_law2.cellml

<?xml version="1.0"?>
<!--
This CellML file was generated on 12/2/2010 at 11:40:00 at AM using:

COR (0.9.31.1409)
Copyright 2002-2010 Dr Alan Garny
http://cor.physiol.ox.ac.uk/ - cor@physiol.ox.ac.uk

CellML 1.0 was used to generate this model
http://www.cellml.org/
--><model xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.1#" cmeta:id="constitutive_law2" name="constitutive_law2">
	<documentation xmlns="http://cellml.org/tmp-documentation">
		<article>
			<articleinfo>
				<title>Bursting, Chaos and Birhythmicity Originating from Self-modulation of the Inositol 1,4,5-triphosphate Signal in a Model for Intracellular Ca2+ Oscillations</title>
				<author>
					<firstname>Mona</firstname>
					<surname>Zhu</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 built with the differential expressions of Houart's 1999 paper for various types of intracellular Ca2+ oscillations bassed on self-modulation of the Inositol 1,4,5-triphosphate signal. The parameter values for this model are different for different types of intracellular Ca2+ oscillations. The parameter values used for this particular model were taken from Figure 2 on page 513 and reproduces the corresponding curves. Parameter values from pages 515 and 520 may be changed to reflect curves for Bursting, Chaos, Quasiperiodicity and Birhythmicity. The initial conditions have been set after allowing the model to run for approximately 5 minutes until steady state. This file is known to run in COR and OpenCell.</para>
			</section>
			<sect1 id="sec_structure">
				<title>Model Structure</title>
				<para>
					Bursting, Chaos and Birhythmicity Originating from Self-modulation of the Inositol 1,4,5-triphosphate Signal in a Model for Intracellular Ca2+ Oscillations, Houart G, Dupont G, Goldbeter A, 1999, <emphasis>Bulletin of Mathematical Biology</emphasis>
					, 61, 507-530 <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/17883229">PubMed ID: 17883229</ulink>
				</para>
			</sect1>
		</article>
	</documentation>
	<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
		<rdf:Description rdf:about="">
			<dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:parseType="Resource">
				<vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource">
					<vCard:Family>Zhu</vCard:Family>
					<vCard:Given>Xin Yue</vCard:Given>
					<vCard:Other>Mona</vCard:Other>
				</vCard:N>
				<vCard:EMAIL xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource">
					<rdf:value>xzhu055@aucklanduni.ac.nz</rdf:value>
					<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
				</vCard:EMAIL>
				<vCard:ORG xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource">
					<vCard:Orgname>The University of Auckland</vCard:Orgname>
					<vCard:Orgunit>Auckland Bioengineering Institute</vCard:Orgunit>
				</vCard:ORG>
			</dc:creator>
			<dcterms:created xmlns:dcterms="http://purl.org/dc/terms/" rdf:parseType="Resource">
				<dcterms:W3CDTF>2-12-2010</dcterms:W3CDTF>
			</dcterms:created>
		</rdf:Description>
		<rdf:Description rdf:about="#houart_1999">
			<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Bursting, Chaos and birhythmicity Originating from Self-modulation of the Inositol 1,4,5-triphosphate Signal in a Model for Intracellular Ca2+ Oscillations</dc:title>
			<cmeta:comment rdf:parseType="Resource">
				<rdf:value>This is the CellML description of the 1999 mathematical model developed by Gerald Houart, Genevieve Dupont and Albert Goldbeter for the various types of complex Ca2+ oscillations based on the mechanism of CICR.
				</rdf:value>
				<dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:parseType="Resource">
					<vCard:FN xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Mona Zhu</vCard:FN>
				</dc:creator>
			</cmeta:comment>
			<cmeta:species>Ca2+</cmeta:species>
			<bqs:reference xmlns:bqs="http://www.cellml.org/bqs/1.1#" rdf:parseType="Resource">
				<dc:subject xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:parseType="Resource">
					<bqs:subject_type>keyword</bqs:subject_type>
					<rdf:value>
						<rdf:Bag>
							<rdf:li>Bursting</rdf:li>
							<rdf:li>Chaos</rdf:li>
							<rdf:li>birhythmicity</rdf:li>
							<rdf:li>Inositol</rdf:li>
							<rdf:li>1,4,5-triphosphate</rdf:li>
							<rdf:li>Ca2+ oscillations</rdf:li>
							<rdf:li>CICR</rdf:li>
							<rdf:li>Calcium Dynamics</rdf:li>
						</rdf:Bag>
					</rdf:value>
				</dc:subject>
			</bqs:reference>
			<bqs:reference xmlns:bqs="http://www.cellml.org/bqs/1.1#" rdf:parseType="Resource">
				<bqs:Pubmed_id>17883229</bqs:Pubmed_id>
				<bqs:JournalArticle rdf:parseType="Resource">
					<dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/">
						<rdf:Seq>
							<rdf:li rdf:parseType="Resource">
								<bqs:Person rdf:parseType="Resource">
									<vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource">
										<vCard:Family>Houart</vCard:Family>
										<vCard:Given>Gerald</vCard:Given>
									</vCard:N>
								</bqs:Person>
							</rdf:li>
							<rdf:li rdf:parseType="Resource">
								<bqs:Person rdf:parseType="Resource">
									<vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource">
										<vCard:Family>Dupont</vCard:Family>
										<vCard:Given>Genevieve</vCard:Given>
									</vCard:N>
								</bqs:Person>
							</rdf:li>
							<rdf:li rdf:parseType="Resource">
								<bqs:Person rdf:parseType="Resource">
									<vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:parseType="Resource">
										<vCard:Family>Albert</vCard:Family>
										<vCard:Given>Goldbeter</vCard:Given>
									</vCard:N>
								</bqs:Person>
							</rdf:li>
						</rdf:Seq>
					</dc:creator>
					<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Bursting, Chaos and birhythmicity Originating from Self-modulation of the Inositol 1,4,5-triphosphate Signal in a Model for Intracellular Ca2+ Oscillations</dc:title>
					<dcterms:issued xmlns:dcterms="http://purl.org/dc/terms/" rdf:parseType="Resource">
						<dcterms:W3CDTF>1999-05</dcterms:W3CDTF>
					</dcterms:issued>
					<bqs:Journal rdf:parseType="Resource">
						<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Bulletin of Mathematical Biology</dc:title>
					</bqs:Journal>
					<bqs:volume>61</bqs:volume>
					<bqs:first_page>507</bqs:first_page>
					<bqs:last_page>530</bqs:last_page>
				</bqs:JournalArticle>
			</bqs:reference>
		</rdf:Description>
	</rdf:RDF>   <units name="minute">
      <unit multiplier="60" units="second"/>
   </units>
   <units name="per_minute">
      <unit exponent="-1" units="minute"/>
   </units>
   <units name="per_litre">
      <unit exponent="-1" units="litre"/>
   </units>
   <units name="micromolar">
      <unit prefix="micro" units="mole"/>
      <unit units="per_litre"/>
   </units>
   <units name="micromolar_per_minute">
      <unit units="micromolar"/>
      <unit units="per_minute"/>
   </units>
   <component name="interface">
      <variable initial_value="A_init" name="A" public_interface="out" units="micromolar"/>
      <variable name="A_init" public_interface="in" units="micromolar"/>
      <variable name="time" public_interface="in" units="minute"/>
      <variable name="B" public_interface="in" units="dimensionless"/>
      <variable name="C" public_interface="in" units="micromolar_per_minute"/>
      <variable name="D" public_interface="in" units="micromolar_per_minute"/>
      <variable name="E" public_interface="in" units="per_minute"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply><eq/><apply><diff/><bvar><ci>time</ci></bvar><ci>A</ci></apply><apply><minus/><apply><minus/><apply><times/><ci>B</ci><ci>C</ci></apply><ci>D</ci></apply><apply><times/><ci>E</ci><ci>A</ci></apply></apply></apply>
      </math>
   </component>
</model>