Location: Novak, Tyson, 1993 @ f51aa171689a / novak_tyson_1993_b.cellml

Author:
Hanne <Hanne@hanne-nielsens-macbook.local>
Date:
2009-11-10 10:39:01+13:00
Desc:
Removed non pub med reference
Permanent Source URI:
https://models.physiomeproject.org/workspace/novak_tyson_1993/rawfile/f51aa171689a8334ffe190e4f60dd68595e58fea/novak_tyson_1993_b.cellml

<?xml version='1.0' encoding='utf-8'?>
<!--
This CellML file was generated on 14/01/2009 at 4:02:17 at p.m. using:

COR (0.9.31.1125)
Copyright 2002-2009 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/1.0#" 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#" cmeta:id="novak_tyson_1993_version01" name="novak_tyson_1993_version01">
	<documentation xmlns="http://cellml.org/tmp-documentation">
		<article>
			<articleinfo>
				<title>Numerical analysis of a comprehensive model of M-phase control in <emphasis>Xenopus oocyte</emphasis> extracts and intact embryos</title>
				<author>
					<firstname>Jeelean</firstname>
					<surname>Lim</surname>
					<affiliation>
						<shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
					</affiliation>
				</author>
			</articleinfo>
			<section id="sec_status">
				<title>Model Status</title>
				<para>
				This CellML version of the model has been checked in COR and PCEnv. This variant of the model uses parameter values from BioModels as a guide and displays synthesis and degradation of cyclin. The units have been checked and are consistent.
				</para>
			</section>
			<sect1 id="sec_structure">
				<title>Model Structure</title>
				<para>
				ABSTRACT: To contribute to a deeper understanding of M-phase control in eukaryotic cells, we have constructed a model based on the biochemistry of M-phase promoting factor (MPF) in Xenopus oocyte extracts, where there is evidence for two positive feedback loops (MPF stimulates its own production by activating Cdc25 and inhibiting Wee1) and a negative feedback loop (MPF stimulates its own destruction by indirectly activating the ubiquitin pathway that degrades its cyclin subunit). To uncover the full dynamical possibilities of the control system, we translate the regulatory network into a set of differential equations and study these equations by graphical techniques and computer simulation. The positive feedback loops in the model account for thresholds and time lags in cyclin-induced and MPF-induced activation of MPF, and the model can be fitted quantitatively to these experimental observations. The negative feedback loop is consistent with observed time lags in MPF-induced cyclin degradation. 
				</para>
				<para>   
				Furthermore, our model indicates that there are two possible mechanisms for autonomous oscillations. One is driven by the positive feedback loops, resulting in phosphorylation and abrupt dephosphorylation of the Cdc2 subunit at an inhibitory tyrosine residue. These oscillations are typical of oocyte extracts. The other type is driven by the negative feedback loop, involving rapid cyclin turnover and negligible phosphorylation of the tyrosine residue of Cdc2. The early mitotic cycles of intact embryos exhibit such characteristics. In addition, by assuming that unreplicated DNA interferes with M-phase initiation by activating the phosphatases that oppose MPF in the positive feedback loops, we can simulate the effect of addition of sperm nuclei to oocyte extracts, and the lengthening of cycle times at the mid-blastula transition of intact embryos. 
				</para>
				<para>
				The complete original paper reference is cited below:
				</para>
				<para>
					Numerical analysis of a comprehensive model of M-phase control in <emphasis>Xenopus oocyte</emphasis> extracts and intact embryos, Bela Novak and John J. Tyson, 1993, <emphasis>Journal of Cell Science</emphasis>, 106, 1153-1168. <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/8126097">PubMed ID: 8126097</ulink>
				</para>
				<informalfigure float="0" id="fig_reaction_diagram">
					<mediaobject>
						<imageobject>
							<objectinfo>
								<title>Figure 1</title>
							</objectinfo>
							<imagedata fileref="novak_1993a.png"/>
						</imageobject>
					</mediaobject>
					<caption>The phosphorylation states of MPF.</caption>
				</informalfigure>
				<informalfigure float="0" id="fig_reaction_diagram">
					<mediaobject>
						<imageobject>
							<objectinfo>
								<title>Figure 2</title>
							</objectinfo>
							<imagedata fileref="novak_1993b.png"/>
						</imageobject>
					</mediaobject>
					<caption>The positive feedback loops.</caption>
				</informalfigure>
				<informalfigure float="0" id="fig_reaction_diagram">
					<mediaobject>
						<imageobject>
							<objectinfo>
								<title>Figure 3</title>
							</objectinfo>
							<imagedata fileref="novak_1993c.png"/>
						</imageobject>
					</mediaobject>
					<caption>The negative feedback loop.</caption>
				</informalfigure>
			</sect1>
		</article>
	</documentation>   <units name="minute">
      <unit units="second" multiplier="60"/>
   </units>
   <units name="first_order_rate_constant">
      <unit units="minute" exponent="-1"/>
   </units>
   <component name="environment">
      <variable units="minute" public_interface="out" name="time"/>
   </component>
   <component name="rate_constants">
      <variable units="first_order_rate_constant" public_interface="out" name="k1AA" initial_value="1"/>
      <variable units="first_order_rate_constant" public_interface="out" name="k3" initial_value="0.01"/>
      <variable units="first_order_rate_constant" public_interface="out" name="kinh" initial_value="0.025"/>
      <variable units="first_order_rate_constant" public_interface="out" name="kcak" initial_value="0.25"/>
      <variable units="first_order_rate_constant" public_interface="out" name="kbPPase" initial_value="0.125"/>
      <variable units="first_order_rate_constant" public_interface="out" name="kfPPase" initial_value="0.1"/>
      <variable units="first_order_rate_constant" public_interface="out" name="khPPase" initial_value="0.087"/>
      <variable units="first_order_rate_constant" public_interface="out" name="kd_antiIE" initial_value="0.095"/>
      <variable units="first_order_rate_constant" public_interface="out" name="ka" initial_value="0.01"/>
      <variable units="first_order_rate_constant" public_interface="out" name="kc" initial_value="0.1"/>
      <variable units="first_order_rate_constant" public_interface="out" name="ke" initial_value="0.0133"/>
      <variable units="first_order_rate_constant" public_interface="out" name="kg" initial_value="0.0065"/>
      <variable units="first_order_rate_constant" public_interface="out" name="V2_" initial_value="0.015"/>
      <variable units="first_order_rate_constant" public_interface="out" name="V2__" initial_value="1"/>
      <variable units="first_order_rate_constant" public_interface="out" name="V25_" initial_value="0.1"/>
      <variable units="first_order_rate_constant" public_interface="out" name="V25__" initial_value="2"/>
      <variable units="first_order_rate_constant" public_interface="out" name="Vwee_" initial_value="0.1"/>
      <variable units="first_order_rate_constant" public_interface="out" name="Vwee__" initial_value="1"/>
      <variable units="dimensionless" public_interface="out" name="K_a" initial_value="0.1"/>
      <variable units="dimensionless" public_interface="out" name="K_b" initial_value="0.1"/>
      <variable units="dimensionless" public_interface="out" name="K_c" initial_value="0.01"/>
      <variable units="dimensionless" public_interface="out" name="K_d" initial_value="0.01"/>
      <variable units="dimensionless" public_interface="out" name="K_e" initial_value="0.3"/>
      <variable units="dimensionless" public_interface="out" name="K_f" initial_value="0.3"/>
      <variable units="dimensionless" public_interface="out" name="K_g" initial_value="0.01"/>
      <variable units="dimensionless" public_interface="out" name="K_h" initial_value="0.01"/>
      <variable units="dimensionless" public_interface="in" name="Cdc25_T"/>
      <variable units="dimensionless" public_interface="in" name="Cdc25_P"/>
      <variable units="dimensionless" public_interface="in" name="Wee1_P"/>
      <variable units="dimensionless" public_interface="in" name="Wee1_T"/>
      <variable units="dimensionless" public_interface="in" name="UbE_T"/>
      <variable units="dimensionless" public_interface="in" name="UbE"/>
      <variable units="first_order_rate_constant" public_interface="out" name="k25"/>
      <variable units="first_order_rate_constant" public_interface="out" name="kwee"/>
      <variable units="first_order_rate_constant" public_interface="out" name="k2"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>k25</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>V25_</ci>
                  <apply>
                     <minus/>
                     <ci>Cdc25_T</ci>
                     <ci>Cdc25_P</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>V25__</ci>
                  <ci>Cdc25_P</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kwee</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>Vwee_</ci>
                  <ci>Wee1_P</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>Vwee__</ci>
                  <apply>
                     <minus/>
                     <ci>Wee1_T</ci>
                     <ci>Wee1_P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>k2</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>V2_</ci>
                  <apply>
                     <minus/>
                     <ci>UbE_T</ci>
                     <ci>UbE</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>V2__</ci>
                  <ci>UbE</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="concentration_variables">
      <variable units="dimensionless" public_interface="out" name="Cdc2_T" initial_value="100"/>
      <variable units="dimensionless" public_interface="out" name="Cdc25_T" initial_value="1"/>
      <variable units="dimensionless" public_interface="out" name="Wee1_T" initial_value="1"/>
      <variable units="dimensionless" public_interface="out" name="IE_T" initial_value="1"/>
      <variable units="dimensionless" public_interface="out" name="UbE_T" initial_value="1"/>
   </component>
   <component name="cyclin">
      <variable units="dimensionless" public_interface="out" name="cyclin" initial_value="1"/>
      <variable units="first_order_rate_constant" public_interface="in" name="k1AA"/>
      <variable units="first_order_rate_constant" public_interface="in" name="k2"/>
      <variable units="first_order_rate_constant" public_interface="in" name="k3"/>
      <variable units="dimensionless" public_interface="in" name="Cdc2"/>
      <variable units="minute" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>cyclin</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <ci>k1AA</ci>
                  <apply>
                     <times/>
                     <ci>k2</ci>
                     <ci>cyclin</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k3</ci>
                  <ci>cyclin</ci>
                  <ci>Cdc2</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="cyclin_Cdc2">
      <variable units="dimensionless" public_interface="out" name="cyclin_Cdc2" initial_value="0"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kinh"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kwee"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kcak"/>
      <variable units="first_order_rate_constant" public_interface="in" name="k25"/>
      <variable units="first_order_rate_constant" public_interface="in" name="k3"/>
      <variable units="first_order_rate_constant" public_interface="in" name="k2"/>
      <variable units="dimensionless" public_interface="in" name="MPF_active"/>
      <variable units="dimensionless" public_interface="in" name="Tyr15P_dimer"/>
      <variable units="dimensionless" public_interface="in" name="cyclin"/>
      <variable units="dimensionless" public_interface="in" name="Cdc2"/>
      <variable units="minute" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>cyclin_Cdc2</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>kinh</ci>
                     <ci>MPF_active</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <ci>kwee</ci>
                        <ci>kcak</ci>
                        <ci>k2</ci>
                     </apply>
                     <ci>cyclin_Cdc2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k25</ci>
                  <ci>Tyr15P_dimer</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k3</ci>
                  <ci>cyclin</ci>
                  <ci>Cdc2</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Tyr15P_dimer">
      <variable units="dimensionless" public_interface="out" name="Tyr15P_dimer" initial_value="0"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kwee"/>
      <variable units="first_order_rate_constant" public_interface="in" name="k25"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kcak"/>
      <variable units="first_order_rate_constant" public_interface="in" name="k2"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kinh"/>
      <variable units="dimensionless" public_interface="in" name="cyclin_Cdc2"/>
      <variable units="dimensionless" public_interface="in" name="MPF_pre"/>
      <variable units="minute" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Tyr15P_dimer</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>kwee</ci>
                     <ci>cyclin_Cdc2</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <ci>k25</ci>
                        <ci>kcak</ci>
                        <ci>k2</ci>
                     </apply>
                     <ci>Tyr15P_dimer</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>kinh</ci>
                  <ci>MPF_pre</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="MPF_pre">
      <variable units="dimensionless" public_interface="out" name="MPF_pre" initial_value="0"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kwee"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kinh"/>
      <variable units="first_order_rate_constant" public_interface="in" name="k2"/>
      <variable units="first_order_rate_constant" public_interface="in" name="k25"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kcak"/>
      <variable units="dimensionless" public_interface="in" name="MPF_active"/>
      <variable units="dimensionless" public_interface="in" name="Tyr15P_dimer"/>
      <variable units="minute" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>MPF_pre</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>kwee</ci>
                     <ci>MPF_active</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <ci>kinh</ci>
                        <ci>k25</ci>
                        <ci>k2</ci>
                     </apply>
                     <ci>MPF_pre</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>kcak</ci>
                  <ci>Tyr15P_dimer</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="MPF_active">
      <variable units="dimensionless" public_interface="out" name="MPF_active" initial_value="0"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kcak"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kinh"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kwee"/>
      <variable units="first_order_rate_constant" public_interface="in" name="k2"/>
      <variable units="first_order_rate_constant" public_interface="in" name="k25"/>
      <variable units="dimensionless" public_interface="in" name="cyclin_Cdc2"/>
      <variable units="dimensionless" public_interface="in" name="MPF_pre"/>
      <variable units="minute" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>MPF_active</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>kcak</ci>
                     <ci>cyclin_Cdc2</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <ci>kinh</ci>
                        <ci>kwee</ci>
                        <ci>k2</ci>
                     </apply>
                     <ci>MPF_active</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k25</ci>
                  <ci>MPF_pre</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Cdc2">
      <variable units="dimensionless" public_interface="out" name="Cdc2"/>
      <variable units="dimensionless" public_interface="in" name="Tyr15P_dimer"/>
      <variable units="dimensionless" public_interface="in" name="cyclin_Cdc2"/>
      <variable units="dimensionless" public_interface="in" name="MPF_active"/>
      <variable units="dimensionless" public_interface="in" name="MPF_pre"/>
      <variable units="dimensionless" public_interface="in" name="Cdc2_T"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Cdc2</ci>
            <apply>
               <minus/>
               <ci>Cdc2_T</ci>
               <apply>
                  <plus/>
                  <ci>cyclin_Cdc2</ci>
                  <ci>MPF_active</ci>
                  <ci>MPF_pre</ci>
                  <ci>Tyr15P_dimer</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="cyclin_T">
      <variable units="dimensionless" public_interface="out" name="cyclin_T"/>
      <variable units="dimensionless" public_interface="in" name="cyclin"/>
      <variable units="dimensionless" public_interface="in" name="Tyr15P_dimer"/>
      <variable units="dimensionless" public_interface="in" name="cyclin_Cdc2"/>
      <variable units="dimensionless" public_interface="in" name="MPF_active"/>
      <variable units="dimensionless" public_interface="in" name="MPF_pre"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>cyclin_T</ci>
            <apply>
               <plus/>
               <ci>cyclin</ci>
               <ci>cyclin_Cdc2</ci>
               <ci>MPF_active</ci>
               <ci>MPF_pre</ci>
               <ci>Tyr15P_dimer</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Cdc25_P">
      <variable units="dimensionless" public_interface="out" name="Cdc25_P" initial_value="0"/>
      <variable units="first_order_rate_constant" public_interface="in" name="ka"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kbPPase"/>
      <variable units="dimensionless" public_interface="in" name="K_b"/>
      <variable units="dimensionless" public_interface="in" name="K_a"/>
      <variable units="dimensionless" public_interface="in" name="MPF_active"/>
      <variable units="dimensionless" public_interface="in" name="Cdc25_T"/>
      <variable units="minute" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Cdc25_P</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>ka</ci>
                     <ci>MPF_active</ci>
                     <apply>
                        <minus/>
                        <ci>Cdc25_T</ci>
                        <ci>Cdc25_P</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>K_a</ci>
                        <ci>Cdc25_T</ci>
                     </apply>
                     <ci>Cdc25_P</ci>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>kbPPase</ci>
                     <ci>Cdc25_P</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>K_b</ci>
                     <ci>Cdc25_P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Wee1_P">
      <variable units="dimensionless" public_interface="out" name="Wee1_P" initial_value="0"/>
      <variable units="first_order_rate_constant" public_interface="in" name="ke"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kfPPase"/>
      <variable units="dimensionless" public_interface="in" name="K_e"/>
      <variable units="dimensionless" public_interface="in" name="K_f"/>
      <variable units="dimensionless" public_interface="in" name="MPF_active"/>
      <variable units="dimensionless" public_interface="in" name="Wee1_T"/>
      <variable units="minute" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Wee1_P</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>ke</ci>
                     <ci>MPF_active</ci>
                     <apply>
                        <minus/>
                        <ci>Wee1_T</ci>
                        <ci>Wee1_P</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>K_e</ci>
                        <ci>Wee1_T</ci>
                     </apply>
                     <ci>Wee1_P</ci>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>kfPPase</ci>
                     <ci>Wee1_P</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>K_f</ci>
                     <ci>Wee1_P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="IE_P">
      <variable units="dimensionless" public_interface="out" name="IE_P" initial_value="0"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kg"/>
      <variable units="first_order_rate_constant" public_interface="in" name="khPPase"/>
      <variable units="dimensionless" public_interface="in" name="K_g"/>
      <variable units="dimensionless" public_interface="in" name="K_h"/>
      <variable units="dimensionless" public_interface="in" name="MPF_active"/>
      <variable units="dimensionless" public_interface="in" name="IE_T"/>
      <variable units="minute" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>IE_P</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>kg</ci>
                     <ci>MPF_active</ci>
                     <apply>
                        <minus/>
                        <ci>IE_T</ci>
                        <ci>IE_P</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>K_g</ci>
                        <ci>IE_T</ci>
                     </apply>
                     <ci>IE_P</ci>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>khPPase</ci>
                     <ci>IE_P</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>K_h</ci>
                     <ci>IE_P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="UbE">
      <variable units="dimensionless" public_interface="out" name="UbE" initial_value="0"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kc"/>
      <variable units="first_order_rate_constant" public_interface="in" name="kd_antiIE"/>
      <variable units="dimensionless" public_interface="in" name="K_c"/>
      <variable units="dimensionless" public_interface="in" name="K_d"/>
      <variable units="dimensionless" public_interface="in" name="IE_P"/>
      <variable units="dimensionless" public_interface="in" name="UbE_T"/>
      <variable units="minute" public_interface="in" name="time"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>UbE</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>kc</ci>
                     <ci>IE_P</ci>
                     <apply>
                        <minus/>
                        <ci>UbE_T</ci>
                        <ci>UbE</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>K_c</ci>
                        <ci>UbE_T</ci>
                     </apply>
                     <ci>UbE</ci>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>kd_antiIE</ci>
                     <ci>UbE</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>K_d</ci>
                     <ci>UbE</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <connection>
      <map_components component_2="environment" component_1="cyclin"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="cyclin_Cdc2"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="Tyr15P_dimer"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="MPF_pre"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="MPF_active"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="Cdc25_P"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="Wee1_P"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="IE_P"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="environment" component_1="UbE"/>
      <map_variables variable_2="time" variable_1="time"/>
   </connection>
   <connection>
      <map_components component_2="Cdc25_P" component_1="rate_constants"/>
      <map_variables variable_2="Cdc25_P" variable_1="Cdc25_P"/>
      <map_variables variable_2="ka" variable_1="ka"/>
      <map_variables variable_2="K_a" variable_1="K_a"/>
      <map_variables variable_2="kbPPase" variable_1="kbPPase"/>
      <map_variables variable_2="K_b" variable_1="K_b"/>
   </connection>
   <connection>
      <map_components component_2="Wee1_P" component_1="rate_constants"/>
      <map_variables variable_2="Wee1_P" variable_1="Wee1_P"/>
      <map_variables variable_2="ke" variable_1="ke"/>
      <map_variables variable_2="K_e" variable_1="K_e"/>
      <map_variables variable_2="kfPPase" variable_1="kfPPase"/>
      <map_variables variable_2="K_f" variable_1="K_f"/>
   </connection>
   <connection>
      <map_components component_2="UbE" component_1="rate_constants"/>
      <map_variables variable_2="UbE" variable_1="UbE"/>
      <map_variables variable_2="kc" variable_1="kc"/>
      <map_variables variable_2="K_c" variable_1="K_c"/>
      <map_variables variable_2="kd_antiIE" variable_1="kd_antiIE"/>
      <map_variables variable_2="K_d" variable_1="K_d"/>
   </connection>
   <connection>
      <map_components component_2="concentration_variables" component_1="rate_constants"/>
      <map_variables variable_2="Cdc25_T" variable_1="Cdc25_T"/>
      <map_variables variable_2="Wee1_T" variable_1="Wee1_T"/>
      <map_variables variable_2="UbE_T" variable_1="UbE_T"/>
   </connection>
   <connection>
      <map_components component_2="rate_constants" component_1="cyclin"/>
      <map_variables variable_2="k1AA" variable_1="k1AA"/>
      <map_variables variable_2="k2" variable_1="k2"/>
      <map_variables variable_2="k3" variable_1="k3"/>
   </connection>
   <connection>
      <map_components component_2="Cdc2" component_1="cyclin"/>
      <map_variables variable_2="Cdc2" variable_1="Cdc2"/>
   </connection>
   <connection>
      <map_components component_2="rate_constants" component_1="cyclin_Cdc2"/>
      <map_variables variable_2="kinh" variable_1="kinh"/>
      <map_variables variable_2="kwee" variable_1="kwee"/>
      <map_variables variable_2="kcak" variable_1="kcak"/>
      <map_variables variable_2="k25" variable_1="k25"/>
      <map_variables variable_2="k2" variable_1="k2"/>
      <map_variables variable_2="k3" variable_1="k3"/>
   </connection>
   <connection>
      <map_components component_2="MPF_active" component_1="cyclin_Cdc2"/>
      <map_variables variable_2="MPF_active" variable_1="MPF_active"/>
      <map_variables variable_2="cyclin_Cdc2" variable_1="cyclin_Cdc2"/>
   </connection>
   <connection>
      <map_components component_2="Tyr15P_dimer" component_1="cyclin_Cdc2"/>
      <map_variables variable_2="Tyr15P_dimer" variable_1="Tyr15P_dimer"/>
      <map_variables variable_2="cyclin_Cdc2" variable_1="cyclin_Cdc2"/>
   </connection>
   <connection>
      <map_components component_2="cyclin" component_1="cyclin_Cdc2"/>
      <map_variables variable_2="cyclin" variable_1="cyclin"/>
   </connection>
   <connection>
      <map_components component_2="Cdc2" component_1="cyclin_Cdc2"/>
      <map_variables variable_2="Cdc2" variable_1="Cdc2"/>
      <map_variables variable_2="cyclin_Cdc2" variable_1="cyclin_Cdc2"/>
   </connection>
   <connection>
      <map_components component_2="MPF_pre" component_1="Tyr15P_dimer"/>
      <map_variables variable_2="MPF_pre" variable_1="MPF_pre"/>
      <map_variables variable_2="Tyr15P_dimer" variable_1="Tyr15P_dimer"/>
   </connection>
   <connection>
      <map_components component_2="rate_constants" component_1="Tyr15P_dimer"/>
      <map_variables variable_2="kwee" variable_1="kwee"/>
      <map_variables variable_2="k25" variable_1="k25"/>
      <map_variables variable_2="kcak" variable_1="kcak"/>
      <map_variables variable_2="k2" variable_1="k2"/>
      <map_variables variable_2="kinh" variable_1="kinh"/>
   </connection>
   <connection>
      <map_components component_2="rate_constants" component_1="MPF_pre"/>
      <map_variables variable_2="kwee" variable_1="kwee"/>
      <map_variables variable_2="kinh" variable_1="kinh"/>
      <map_variables variable_2="k25" variable_1="k25"/>
      <map_variables variable_2="k2" variable_1="k2"/>
      <map_variables variable_2="kcak" variable_1="kcak"/>
   </connection>
   <connection>
      <map_components component_2="MPF_active" component_1="MPF_pre"/>
      <map_variables variable_2="MPF_active" variable_1="MPF_active"/>
      <map_variables variable_2="MPF_pre" variable_1="MPF_pre"/>
   </connection>
   <connection>
      <map_components component_2="rate_constants" component_1="MPF_active"/>
      <map_variables variable_2="kcak" variable_1="kcak"/>
      <map_variables variable_2="kinh" variable_1="kinh"/>
      <map_variables variable_2="kwee" variable_1="kwee"/>
      <map_variables variable_2="k2" variable_1="k2"/>
      <map_variables variable_2="k25" variable_1="k25"/>
   </connection>
   <connection>
      <map_components component_2="Tyr15P_dimer" component_1="Cdc2"/>
      <map_variables variable_2="Tyr15P_dimer" variable_1="Tyr15P_dimer"/>
   </connection>
   <connection>
      <map_components component_2="MPF_active" component_1="Cdc2"/>
      <map_variables variable_2="MPF_active" variable_1="MPF_active"/>
   </connection>
   <connection>
      <map_components component_2="MPF_pre" component_1="Cdc2"/>
      <map_variables variable_2="MPF_pre" variable_1="MPF_pre"/>
   </connection>
   <connection>
      <map_components component_2="concentration_variables" component_1="Cdc2"/>
      <map_variables variable_2="Cdc2_T" variable_1="Cdc2_T"/>
   </connection>
   <connection>
      <map_components component_2="Tyr15P_dimer" component_1="cyclin_T"/>
      <map_variables variable_2="Tyr15P_dimer" variable_1="Tyr15P_dimer"/>
   </connection>
   <connection>
      <map_components component_2="MPF_active" component_1="cyclin_T"/>
      <map_variables variable_2="MPF_active" variable_1="MPF_active"/>
   </connection>
   <connection>
      <map_components component_2="MPF_pre" component_1="cyclin_T"/>
      <map_variables variable_2="MPF_pre" variable_1="MPF_pre"/>
   </connection>
   <connection>
      <map_components component_2="cyclin" component_1="cyclin_T"/>
      <map_variables variable_2="cyclin" variable_1="cyclin"/>
   </connection>
   <connection>
      <map_components component_2="cyclin_Cdc2" component_1="cyclin_T"/>
      <map_variables variable_2="cyclin_Cdc2" variable_1="cyclin_Cdc2"/>
   </connection>
   <connection>
      <map_components component_2="MPF_active" component_1="Cdc25_P"/>
      <map_variables variable_2="MPF_active" variable_1="MPF_active"/>
   </connection>
   <connection>
      <map_components component_2="concentration_variables" component_1="Cdc25_P"/>
      <map_variables variable_2="Cdc25_T" variable_1="Cdc25_T"/>
   </connection>
   <connection>
      <map_components component_2="MPF_active" component_1="Wee1_P"/>
      <map_variables variable_2="MPF_active" variable_1="MPF_active"/>
   </connection>
   <connection>
      <map_components component_2="concentration_variables" component_1="Wee1_P"/>
      <map_variables variable_2="Wee1_T" variable_1="Wee1_T"/>
   </connection>
   <connection>
      <map_components component_2="rate_constants" component_1="IE_P"/>
      <map_variables variable_2="kg" variable_1="kg"/>
      <map_variables variable_2="khPPase" variable_1="khPPase"/>
      <map_variables variable_2="K_g" variable_1="K_g"/>
      <map_variables variable_2="K_h" variable_1="K_h"/>
   </connection>
   <connection>
      <map_components component_2="MPF_active" component_1="IE_P"/>
      <map_variables variable_2="MPF_active" variable_1="MPF_active"/>
   </connection>
   <connection>
      <map_components component_2="concentration_variables" component_1="IE_P"/>
      <map_variables variable_2="IE_T" variable_1="IE_T"/>
   </connection>
   <connection>
      <map_components component_2="IE_P" component_1="UbE"/>
      <map_variables variable_2="IE_P" variable_1="IE_P"/>
   </connection>
   <connection>
      <map_components component_2="concentration_variables" component_1="UbE"/>
      <map_variables variable_2="UbE_T" variable_1="UbE_T"/>
   </connection>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
  <rdf:Seq rdf:about="rdf:#387d18e5-9fa6-4fe3-b845-e921c4977a05">
    <rdf:li rdf:resource="rdf:#c2c0e375-2f75-4fd8-b360-03eadc3b6f72"/>
    <rdf:li rdf:resource="rdf:#bc0d9cfe-6a86-44f7-add9-7512e65f90f2"/>
  </rdf:Seq>
  <rdf:Description rdf:about="rdf:#97c7c060-912f-4cff-94de-ef92f7bd0567">
    <vCard:Orgname>University of Auckland</vCard:Orgname>
    <vCard:Orgunit>Bioengineering Institute</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e08a41e6-bbdd-48bb-91de-c8a04453fb54">
    <vCard:Given>John</vCard:Given>
    <vCard:Family>Tyson</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#ebad8388-1034-49b4-9911-29b9a2724d05">
    <vCard:FN>Jeelean Lim</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="">
    <dc:publisher/>
    <cmeta:comment rdf:resource="rdf:#c6c22812-15a9-495c-97ae-930077377b1d"/>
    <dcterms:created rdf:resource="rdf:#1ed24ea5-dbbb-4efc-ba65-075751d6917c"/>
    <dc:creator rdf:resource="rdf:#c49fd765-6c06-4c9a-b805-fb640f8493ba"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#61c478df-7fd2-47e0-8b0d-338f0331f9bd">
    <bqs:Pubmed_id>8126097</bqs:Pubmed_id>
    <bqs:JournalArticle rdf:resource="rdf:#979b48e3-b232-4c67-9edd-0e166245ac58"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#bc0d9cfe-6a86-44f7-add9-7512e65f90f2">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#e08a41e6-bbdd-48bb-91de-c8a04453fb54"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c49fd765-6c06-4c9a-b805-fb640f8493ba">
    <vCard:ORG rdf:resource="rdf:#97c7c060-912f-4cff-94de-ef92f7bd0567"/>
    <vCard:EMAIL rdf:resource="rdf:#78a43aed-f3b9-49dc-86a8-d419deebe1a2"/>
    <vCard:N rdf:resource="rdf:#10f37cc8-f6de-4f6a-b89e-9626da89423c"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c2c0e375-2f75-4fd8-b360-03eadc3b6f72">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#3e609323-67c3-4d55-a5dc-a025cfaf1e26"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c6c22812-15a9-495c-97ae-930077377b1d">
    <dc:creator rdf:resource="rdf:#ebad8388-1034-49b4-9911-29b9a2724d05"/>
    <rdf:value>This CellML version of the model has been checked in COR and PCEnv. This variant of the model uses parameter values from BioModels as a guide and displays synthesis and degradation of cyclin. The units have been checked and are consistent.</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#979b48e3-b232-4c67-9edd-0e166245ac58">
    <dc:creator rdf:resource="rdf:#387d18e5-9fa6-4fe3-b845-e921c4977a05"/>
    <dc:title>Numerical analysis of a comprehensive model of M-phase control in Xenopus oocyte extracts and intact embryos.</dc:title>
    <bqs:volume>106</bqs:volume>
    <bqs:first_page>1153</bqs:first_page>
    <bqs:Journal rdf:resource="rdf:#d585a56d-3bfd-4816-bfeb-37db29269d9d"/>
    <dcterms:issued rdf:resource="rdf:#287d251c-0628-4f3c-b47e-570c51116a5a"/>
    <bqs:last_page>1168</bqs:last_page>
  </rdf:Description>
  <rdf:Description rdf:about="#novak_tyson_1993_version01">
    <bqs:reference rdf:resource="rdf:#61c478df-7fd2-47e0-8b0d-338f0331f9bd"/>
<bqs:reference rdf:parseType="Resource">
  <dc:subject rdf:parseType="Resource">
    <bqs:subject_type>keyword</bqs:subject_type>
    <rdf:value>
      <rdf:Bag>
        <rdf:li>cell cycle</rdf:li>
	<rdf:li>oocyte</rdf:li>
	<rdf:li>metabolism</rdf:li>
      </rdf:Bag>
    </rdf:value>
  </dc:subject>
</bqs:reference>
    <cmeta:comment rdf:resource="rdf:#e0d56591-162a-4a35-9eba-b74d35c52142"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e0d56591-162a-4a35-9eba-b74d35c52142">
    <dc:creator rdf:resource="rdf:#a8b1da3a-363b-4991-87cf-99eb2b190ef2"/>
    <rdf:value>This is the CellML description of Novak and Tyson's 1993 numerical analysis of a comprehensive model of M-phase control in Xenopus oocyte extracts and intact embryos.</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#a8b1da3a-363b-4991-87cf-99eb2b190ef2">
    <vCard:FN>Jeelean Lim</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#10f37cc8-f6de-4f6a-b89e-9626da89423c">
    <vCard:Given>Jeelean</vCard:Given>
    <vCard:Family>Lim</vCard:Family>
    <vCard:Other/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3e609323-67c3-4d55-a5dc-a025cfaf1e26">
    <vCard:Given>Bela</vCard:Given>
    <vCard:Family>Novak</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#d585a56d-3bfd-4816-bfeb-37db29269d9d">
    <dc:title>Journal of Cell Science</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#287d251c-0628-4f3c-b47e-570c51116a5a">
    <dcterms:W3CDTF>1993-12-00 00:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#1ed24ea5-dbbb-4efc-ba65-075751d6917c">
    <dcterms:W3CDTF>2009-01-23T00:00:00+00:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#78a43aed-f3b9-49dc-86a8-d419deebe1a2">
    <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
    <rdf:value>jlim063@aucklanduni.ac.nz</rdf:value>
  </rdf:Description>
</rdf:RDF>
</model>