Location: Leloup, Gonze, Goldbeter, 1999 @ bfaac0e80b23 / law4.cellml

Author:
Mona Zhu <devnull@localhost>
Date:
2011-01-19 17:09:20+13:00
Desc:
Changed import locations
Permanent Source URI:
https://models.physiomeproject.org/workspace/leloup_gonze_goldbeter_1999/rawfile/bfaac0e80b23726ffe05b02f98b3d1d01a2ee3b7/law4.cellml

<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.1#" cmeta:id="law4" name="law4">

	<!-- documentation -->
	<documentation xmlns="http://cellml.org/tmp-documentation">
	<article>
	  <articleinfo>
	  <title>Limit cycle models for circadian rhythms based on transcriptional regulation in Drosophila and Neurospora</title>
	  <author>
		<firstname>Mona</firstname>
			  <surname>Zhu</surname>
		<affiliation>
		  <shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
		</affiliation>
	  </author>
	</articleinfo>
	  <section id="sec_status">
		<title>Model Status</title>
		<para>
				This is an import for the model "leloup_1999_1.1model.cellml". It is used to define a reoccuring structure within the model and may be used for multiple equations in the model. This file is known to run only in OpenCell in conjunction with the base file.
			  </para>
	  </section>
	  <sect1 id="sec_structure">
	<title>Model Structure</title>
	<para>
	The original paper reference is cited below:
	</para>
	<para>
	Limit Cycle Models for Circadian Rhythms Based on Transcriptional Regulation in <emphasis>Drosophila</emphasis> and <emphasis>Neurospora</emphasis>, Jean-Christophe Leloup, Didier Gonze, and Albert Goldbeter, 1999,  <emphasis>Journal of Biological Rhythms</emphasis>, 14, 433-448.  <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/10643740">PubMed ID: 10643740</ulink>
	</para>
	</sect1>
	</article>
	</documentation>

	<!-- units -->
	<units name="nanomolar">
		<unit prefix="nano" units="mole"/>
		<unit exponent="-1" units="litre"/>
	</units>

	<units name="hour">
		<unit multiplier="3600.0" units="second"/>
	</units>

	<units name="flux">
		<unit units="nanomolar"/>
		<unit exponent="-1" units="hour"/>
	</units>

	<units name="first_order_rate_constant">
		<unit exponent="-1" units="hour"/>
	</units>

	<units name="second_order_rate_constant">
		<unit exponent="-1" units="nanomolar"/>
		<unit exponent="-1" units="hour"/>
	</units>

	<!-- components -->
	<component xmlns:cmeta="http://www.cellml.org/metadata/1.1#" cmeta:id="P2" name="interface">
		<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
		  <rdf:Description rdf:about="#P2">
			<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">P2</dc:title>
			<dcterms:alternative xmlns:dcterms="http://purl.org/dc/terms/">phopshorylated PER</dcterms:alternative>  
		  </rdf:Description>
		</rdf:RDF>
		<variable cmeta:id="P2_P2" initial_value="Y2_init" name="Y2" public_interface="out" units="nanomolar"/>
		<variable name="vd" public_interface="in" units="flux"/>
		<variable name="KdP" public_interface="in" units="nanomolar"/>
		<variable name="V3" public_interface="in" units="flux"/>
		<variable name="V4" public_interface="in" units="flux"/>
		<variable name="k3" public_interface="in" units="second_order_rate_constant"/>
		<variable name="k4" public_interface="in" units="first_order_rate_constant"/>
		<variable name="K3" public_interface="in" units="nanomolar"/>
		<variable name="K4" public_interface="in" units="nanomolar"/>
		<variable name="kd" public_interface="in" units="first_order_rate_constant"/>
		<variable name="Y1" public_interface="in" units="nanomolar"/>
		<variable name="Z2" public_interface="in" units="nanomolar"/>
		<variable name="C" public_interface="in" units="nanomolar"/>
		<variable name="time" public_interface="in" units="hour"/>
		<variable name="Y2_init" public_interface="in" units="nanomolar"/>
		<math xmlns="http://www.w3.org/1998/Math/MathML">
			<apply>
				<eq/>
				<apply>
					<diff/>
					<bvar>
					<ci>time</ci>
					</bvar>
					<ci>Y2</ci>
				</apply>
				<apply>
					<minus/>
					<apply>
						<plus/>
						<apply>
							<times/>
							<ci>V3</ci>
							<apply>
								<divide/>
								<ci>Y1</ci>
								<apply>
									<plus/>
									<ci>K3</ci>
									<ci>Y1</ci>
								</apply>
							</apply>
						</apply>
						<apply>
							<times/>
							<ci>k4</ci>
							<ci>C</ci>
						</apply>
					</apply>
					<apply>
						<plus/>
						<apply>
							<times/>
							<ci>V4</ci>
							<apply>
								<divide/>
								<ci>Y2</ci>
								<apply>
									<plus/>
									<ci>K4</ci>
									<ci>Y2</ci>
								</apply>
							</apply>
						</apply>
						<apply>
							<times/>
							<ci>k3</ci>
							<ci>Y2</ci>
							<ci>Z2</ci>
						</apply>
						<apply>
							<times/>
							<ci>vd</ci>
							<apply>
								<divide/>
								<ci>Y2</ci>
								<apply>
									<plus/>
									<ci>KdP</ci>
									<ci>Y2</ci>
								</apply>
							</apply>
						</apply>
						<apply>
							<times/>
							<ci>kd</ci>
							<ci>Y2</ci>
						</apply>
					</apply>
				</apply>
			</apply>
		</math>
	</component>
   
   	<!-- metadata -->
	<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
		<rdf:Description rdf:about="law4">
			<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>07-01-2011</dcterms:W3CDTF>
			</dcterms:created>
		</rdf:Description>
		<rdf:Description rdf:about="#law4">
			<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Limit Cycle Models for Circadian Rhythms Based on Transcriptional Regulation in Drosophila and Neurospora</dc:title>
		</rdf:Description>
	</rdf:RDF>
</model>