Location: Halloy, Bernard, Loussouarn, Goldbeter, 2002 @ 9b24d1c9771a / Y.cellml

Author:
Tommy Yu <tommy.yu@auckland.ac.nz>
Date:
2015-02-12 17:33:39+13:00
Desc:
Pruning off that extra head
Permanent Source URI:
https://models.cellml.org/workspace/halloy_bernard_loussouarn_goldbeter_2002/rawfile/9b24d1c9771a149c9dc7af9134d4f35b0ad36629/Y.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="Y" name="Y">   
	<!-- documentation -->
	<documentation xmlns="http://cellml.org/tmp-documentation">
		<article>
			<articleinfo>
				<title>The Follicular Automaton Model for Hair Cycles</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 "halloy_2002_1.1.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>
		</article>
	</documentation> 
	
	<!-- units -->
	
	<units name="month">
		<unit multiplier="2592000" units="second"/>
	</units>
		<units name="flux">
		<unit units="fraction"/>
		<unit exponent="-1" units="month"/>
	</units>
	<units name="first_order_rate_constant">
		<unit exponent="-1" units="month"/>
	</units>
   
   <!-- components -->
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		<variable initial_value="Y_init" name="Y" public_interface="out" units="fraction"/> 
		<variable name="Y_init" public_interface="in" units="fraction"/>
		<variable name="mu_Z" public_interface="in" units="month"/>
		<variable name="mu_Y" public_interface="in" units="month"/>
		<variable name="epsilon" public_interface="in" units="first_order_rate_constant"/>
		<variable name="M" public_interface="in" units="fraction"/>
		<variable name="Z" public_interface="in" units="fraction"/>
		<variable name="time" public_interface="in" units="month"/>
		<math xmlns="http://www.w3.org/1998/Math/MathML">
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				<eq/>
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				   <diff/>
				   <bvar>
					  <ci>time</ci>
				   </bvar>
				   <ci>Y</ci>
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				<apply>
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				   <apply>
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					  <apply>
						 <times/>
						 <apply>
							<divide/>
							<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1</cn>
							<ci>mu_Z</ci>
						 </apply>
						 <ci>Z</ci>
					  </apply>
					  <apply>
						 <times/>
						 <apply>
							<divide/>
							<cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1</cn>
							<ci>mu_Y</ci>
						 </apply>
						 <ci>Y</ci>
					  </apply>
				   </apply>
				   <apply>
					  <times/>
					  <ci>epsilon</ci>
					  <ci>M</ci>
				   </apply>
				</apply>
			 </apply>
		</math>
	</component>

	<!-- imports -->
	<import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fraction.cellml">
		<units name="fraction" units_ref="fraction"/>
	</import>	
   
   	<!-- metadata -->
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		<rdf:Description rdf:about="halloy_2002_1.1.cellml">
			<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>
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			</dc:creator>
			<dcterms:created xmlns:dcterms="http://purl.org/dc/terms/" rdf:parseType="Resource">
				<dcterms:W3CDTF>19-01-2011</dcterms:W3CDTF>
			</dcterms:created>
		</rdf:Description>
		<rdf:Description rdf:about="#halloy_2002_1.1.cellml">
			<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">The Follicular Automaton Model: Effect of Stochasticity and of
            Synchronization of Hair Cycles</dc:title>
			<cmeta:comment rdf:parseType="Resource">
				<rdf:value>This is the CellML description of Halloy et al's 2002 follicular automaton model.
				</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>
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					<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">The Follicular Automaton Model: Effect of Stochasticity and of
					Synchronization of Hair Cycles</dc:title>
					<bqs:Journal rdf:parseType="Resource">
						<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Journal of Theoretical Biology</dc:title>
					</bqs:Journal>
						<bqs:volume xmlns:bqs="http://www.cellml.org/bqs/1.1#">214</bqs:volume>
						<bqs:first_page xmlns:bqs="http://www.cellml.org/bqs/1.1#">469</bqs:first_page>
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</model>