Location: Tomida, Hirose, Takizawa, Shibasaki, Iino, 2003 @ 25d03fe2e4c0 / tomida_hirose_takizawa_shibasaki_iino_2003.cellml

Author:
pmr2.import <nobody@models.cellml.org>
Date:
2008-01-17 21:14:55+13:00
Desc:
committing version01 of tomida_hirose_takizawa_shibasaki_iino_2003
Permanent Source URI:
https://models.cellml.org/workspace/tomida_hirose_takizawa_shibasaki_iino_2003/rawfile/25d03fe2e4c076a5b84afec5b17431c342ab8631/tomida_hirose_takizawa_shibasaki_iino_2003.cellml

<?xml version='1.0' encoding='utf-8'?>
<!--  FILE :  Tomida2003_v1.xml

CREATED :  February 2006

LAST MODIFIED : 

AUTHOR :  Mike Cooling
          Department of Engineering Science
          The University of Auckland
          
MODEL STATUS :  This model conforms to the CellML 1.0 Specification released on
10th August 2001, and the CellML Metadata 1.0 Specification released on 16th
January, 2002.

DESCRIPTION :  Model of NFAT cycling as per Figure 3A of Tomida et al. 2003 EMBO Journal Vol 22(15) p3825-3832.

CHANGES: 
  19/10/2006 - 
--><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#" name="Tomida2003" cmeta:id="Tomida2003">
  
      
  <!--
        *******************************************************************************************
    	***			U	N	I	T	S	    		        ***
        *******************************************************************************************
  -->
    
  <units base_unit="yes" name="molecule"/>
  
  <units base_unit="yes" name="minute"/>
  
  <units name="per_minute">
  	<unit units="minute" exponent="-1"/>
  </units>
  
  <units name="molecules_per_minute">
  	<unit units="minute" exponent="-1"/>
  	<unit units="molecule"/>
  </units>

    <!--
        *******************************************************************************************
      	***			C   O   M   P   O   N   E   N   T   S				***
        *******************************************************************************************
  -->
   
    <component name="model">  
			  	
    <variable units="minute" name="time"/>
    
   	<variable units="molecule" name="NFATP_cyt" initial_value="5000"/>
  	<variable units="molecule" name="NFAT_cyt" initial_value="0"/>
	  <variable units="molecule" name="NFAT_nuc" initial_value="0"/>
	  <variable units="molecule" name="NFAT_tot"/>
    
		<variable units="per_minute" name="k1_unstim" initial_value="0"/>
		<variable units="per_minute" name="k1_stim" initial_value="0.359"/>
		
		<variable units="per_minute" name="k1"/>
  	<variable units="per_minute" name="k2" initial_value="0.147"/>
		<variable units="per_minute" name="k3" initial_value="0.06"/>
		<variable units="per_minute" name="k4" initial_value="0.035"/>
		
		<variable units="minute" name="stim_wavelength" initial_value="3"/>
		<variable units="minute" name="stim_duration" initial_value="0.5"/>
		<variable units="dimensionless" name="stim_on"/>
		<!-- in case want to reach steady state with other models -->
		<variable units="minute" name="time_before_stim" initial_value="1"/> 
		
		<variable units="molecules_per_minute" name="Jdephosphorylation"/>
		<variable units="molecules_per_minute" name="Jtranslocate"/>
		<variable units="molecules_per_minute" name="Jexport"/>
		
		<variable units="dimensionless" name="percentage_NFAT_cyt"/>
		<variable units="dimensionless" name="percentage_NFATP_cyt"/>
		<variable units="dimensionless" name="percentage_NFAT_nuc"/>
		
		<!-- anticipating model extension -->
		<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="stim_on_eq">
						<apply id="stim_on_eq">
						<eq/> /&gt;
							<ci>stim_on</ci>
								<piecewise>
										<piece>
											<cn cellml:units="dimensionless">1</cn>
											
											<apply>
												<and/>
													<apply>
														<geq/>
														<ci>time</ci>
														<ci>time_before_stim</ci>
													</apply>
													
													<apply>
														<leq/>
															<apply>
																<rem/>
																	<apply>
																		<minus/>
																		<ci> time </ci>
																		<ci> time_before_stim </ci>
																	</apply>
																<ci> stim_wavelength </ci>
															</apply>
															<ci> stim_duration </ci>
													</apply>
											
											</apply>
											
											
										</piece>
									 <otherwise>
										 <cn cellml:units="dimensionless">0</cn>
									 </otherwise>
						 </piecewise>
				</apply>
		</math>
		
		<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="k1_eq">
						<apply id="k1_eq">
						<eq/> /&gt;
							<ci>k1</ci>
								<piecewise>
										<piece>
											<ci>k1_stim</ci>
											<apply>
													<eq/>
													<ci>stim_on</ci>
													<cn cellml:units="dimensionless">1</cn>
											</apply>
										</piece>
									 <otherwise>
										 <ci>k1_unstim</ci>
									 </otherwise>
						 </piecewise>
				</apply>
		</math>
		
		<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Jdephosphorylation_eq">
						<apply id="Jdephosphorylation_eq">
						<eq/> /&gt;
							<ci>Jdephosphorylation</ci>
								<apply>
									<minus/>
											<apply>
												<times/>
												<ci>k1</ci>
												<ci>NFATP_cyt</ci>
											</apply>
											<apply>
												<times/>
												<ci>k2</ci>
												<ci>NFAT_cyt</ci>
 											</apply>
 								</apply>
				</apply>
		</math>
		
		<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Jtranslocate_eq">
								<apply id="Jtranslocate_eq">
								<eq/> /&gt;
									<ci>Jtranslocate</ci>
									<apply>
										<times/>
										<ci>k3</ci>
										<ci>NFAT_cyt</ci>
									</apply>
						</apply>
		</math>
		
		<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Jexport_eq">
					<apply id="Jexport_eq">
					<eq/> /&gt;
						<ci>Jexport</ci>
						<apply>
							<times/>
							<ci>k4</ci>
							<ci>NFAT_nuc</ci>
						</apply>
			</apply>
		</math>

    <math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="NFATP_cyt_eq">
      <apply id="NFATP_cyt_eq">
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci> time </ci>
          </bvar>
          <ci> NFATP_cyt </ci>
        </apply>
        
        <apply>
        	<minus/>
        	<ci> Jexport </ci>
        	<ci> Jdephosphorylation </ci>
        </apply>
        
      </apply>
    </math>
    
		<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="NFAT_cyt_eq">
			<apply id="NFAT_cyt_eq">
        <eq/>
				<apply>
          <diff/>
					<bvar>
            <ci> time </ci>
          </bvar>
					<ci> NFAT_cyt </ci>
				</apply>

				<apply>
					<minus/>
					<ci> Jdephosphorylation </ci>
					<ci> Jtranslocate </ci>
				</apply>

			</apply>
    </math>
    
		<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="NFAT_nuc_eq">
			<apply id="NFAT_nuc_eq">
        <eq/>
				<apply>
          <diff/>
					<bvar>
            <ci> time </ci>
          </bvar>
					<ci> NFAT_nuc </ci>
				</apply>

				<apply>
					<minus/>
					<ci> Jtranslocate </ci>
					<ci> Jexport </ci>
				</apply>

			</apply>
    </math>
    
		<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="NFAT_toteq">
								<apply id="NFAT_totcyteq">
								<eq/>
									<ci>NFAT_tot</ci>
									<apply>
										<plus/>
										<ci>NFATP_cyt</ci>
										<ci>NFAT_cyt</ci>
										<ci>NFAT_nuc</ci>
									</apply>
						</apply>
		</math>   
		
		<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="percentage_NFAT_cyteq">
								<apply id="percentage_NFAT_cyteq">
								<eq/> /&gt;
									<ci>percentage_NFAT_cyt</ci>
									<apply>
										<divide/>
												<apply>
														<times/>
														<ci> NFAT_cyt </ci>
														<cn cellml:units="dimensionless"> 100 </cn>
												</apply>
												<ci> NFAT_tot </ci>
									</apply>
						</apply>
		</math>    
		
		<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="percentage_NFATP_cyteq">
								<apply id="percentage_NFATP_cyteq">
								<eq/> /&gt;
									<ci>percentage_NFATP_cyt</ci>
									<apply>
										<divide/>
												<apply>
														<times/>
														<ci> NFATP_cyt </ci>
														<cn cellml:units="dimensionless"> 100 </cn>
												</apply>
												<ci> NFAT_tot </ci>
									</apply>
						</apply>
		</math>  
		
		<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="percentage_NFAT_nuceq">
								<apply id="percentage_NFAT_nuceq">
								<eq/> /&gt;
									<ci>percentage_NFAT_nuc</ci>
									<apply>
										<divide/>
												<apply>
														<times/>
														<ci> NFAT_nuc </ci>
														<cn cellml:units="dimensionless"> 100 </cn>
												</apply>
												<ci> NFAT_tot </ci>
									</apply>
						</apply>
		</math>  
 
  </component>
<rdf:RDF>
  <rdf:Seq rdf:about="rdf:#ca92531e-152d-40ed-b3ad-bbd9958d5114">
    <rdf:li rdf:resource="rdf:#8d96fcb0-cea4-43e4-a084-da31ec74f35d"/>
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    <vCard:Given>M</vCard:Given>
    <vCard:Family>Iino</vCard:Family>
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  <rdf:Description rdf:about="rdf:#1ea4ec4e-6318-4536-b885-3fc03152d373">
    <vCard:Given>T</vCard:Given>
    <vCard:Family>Tomida</vCard:Family>
  </rdf:Description>
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    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
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    <vCard:Given>A</vCard:Given>
    <vCard:Family>Takizawa</vCard:Family>
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    <vCard:Given>Michael</vCard:Given>
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    <dc:publisher>The University of Auckland, Bioengineering Research Group</dc:publisher>
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    <dc:title>European Molecular Biology Organisation Journal</dc:title>
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    <vCard:Given>F</vCard:Given>
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    <dcterms:W3CDTF>2005-04-24T00:00:00+00:00</dcterms:W3CDTF>
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    <dc:title>NFAT function as a working memory of Ca2+ signals in decoding Ca2+ oscillation</dc:title>
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    <bqs:first_page>3825</bqs:first_page>
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    <vCard:Given>T</vCard:Given>
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    <dc:title>European Molecular Biology Organisation Journal</dc:title>
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    <dc:creator rdf:resource="rdf:#ca92531e-152d-40ed-b3ad-bbd9958d5114"/>
    <dc:title>
					NFAT function as a working memory of Ca2+ signals in
					decoding Ca2+ oscillation.
      </dc:title>
    <bqs:volume>22</bqs:volume>
    <bqs:first_page>3825</bqs:first_page>
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    <dcterms:W3CDTF>2003</dcterms:W3CDTF>
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    <vCard:Given>M</vCard:Given>
    <vCard:Family>Iino</vCard:Family>
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    <dcterms:W3CDTF>2003-00-00 00:00</dcterms:W3CDTF>
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    <dc:creator rdf:resource="rdf:#cbc0d292-6357-44f9-8989-c80e9d588080"/>
    <rdf:value>Tomida, T. and Hirose, K. and Takizawa, A. and Shibasaki, F. and Iino, M. NFAT function as a working memory of Ca2+ signals in decoding Ca2+ oscillation. European Molecular Biology Organisation Journal 22,15, 3825-3832 (2003).</rdf:value>
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    <vCard:FN>Michael Cooling</vCard:FN>
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