Location: Qu, Maclellan, Weiss, 2003 @ 48e4f83ba03d / qu_maclellan_weiss_2003.cellml

Author:
Catherine Lloyd <c.lloyd@auckland.ac.nz>
Date:
2010-07-05 22:22:47+12:00
Desc:
Made some very minor changes to the documentation.
Permanent Source URI:
https://models.cellml.org/workspace/qu_maclellan_weiss_2003/rawfile/48e4f83ba03d62531af101991ccda0d0c6bb504e/qu_maclellan_weiss_2003.cellml

<?xml version="1.0"?>
<!--
This CellML file was generated on 9/01/2009 at 12:22:25 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#" cmeta:id="qu_2003" name="qu_2003">
	<documentation xmlns="http://cellml.org/tmp-documentation">
		<article>
			<articleinfo>
				<title>Dynamics of the cell cycle: checkpoints, sizers, and timers</title>
				<author>
					<firstname>Jeelean</firstname>
					<surname>Lim</surname>
					<affiliation>
						<shortaffil>Auckland Bioengineering Institute, The 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 OpenCell and the model runs to replicate the results in the original published paper. The units have been checked and they are consistent. Please note that equation 2 on page 3604 of the paper defining the cell size is not included in this CellML description.
          </para>
			</section>
			<sect1 id="sec_structure">
				<title>Model Structure</title>
				<para>
ABSTRACT: We have developed a generic mathematical model of a cell cycle signaling network in higher eukaryotes that can be used to simulate both the G1/S and G2/M transitions. In our model, the positive feedback facilitated by CDC25 and wee1 causes bistability in cyclin-dependent kinase activity, whereas the negative feedback facilitated by SKP2 or anaphase-promoting-complex turns this bistable behavior into limit cycle behavior. The cell cycle checkpoint is a Hopf bifurcation point. These behaviors are coordinated by growth and division to maintain normal cell cycle and size homeostasis. This model successfully reproduces sizer, timer, and the restriction point features of the eukaryotic cell cycle, in addition to other experimental findings.
</para>
				<para>
The original paper reference is cited below:
</para>
				<para>
Dynamics of the Cell Cycle: Checkpoints, Sizers, and Timers, Zhilin Qu, W. Robb MacLellan, James N. Weiss, 2003, <emphasis>Biophysical Journal</emphasis>, 85, 3600-3611. <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/14645053">PubMed ID: 14645053</ulink>
				</para>
				
				<informalfigure float="0" id="fig_reaction_diagram">
					<mediaobject>
						<imageobject>
							<objectinfo>
								<title>Figure 1</title>
							</objectinfo>
							<imagedata fileref="qu_2003a.png"/>
						</imageobject>
					</mediaobject>
					<caption>Signaling networks for cyclin and CDK regulation.</caption>
				</informalfigure>
				<informalfigure float="0" id="fig_reaction_diagram">
					<mediaobject>
						<imageobject>
							<objectinfo>
								<title>Figure 2</title>
							</objectinfo>
							<imagedata fileref="qu_2003b.png"/>
						</imageobject>
					</mediaobject>
					<caption>SKP2 regulation.</caption>
				</informalfigure>
				<informalfigure float="0" id="fig_reaction_diagram">
					<mediaobject>
						<imageobject>
							<objectinfo>
								<title>Figure 3</title>
							</objectinfo>
							<imagedata fileref="qu_2003c.png"/>
						</imageobject>
					</mediaobject>
					<caption>APC/CDC20 regulation.</caption>
				</informalfigure>
			</sect1>
		</article>
	</documentation>
	
   <units name="minute">
      <unit multiplier="60" units="second"/>
   </units>
   <units name="first_order_rate_constant">
      <unit exponent="-1" units="minute"/>
   </units>
   <component name="environment">
      <variable cmeta:id="environment_time" name="time" public_interface="out" units="minute"/>
   </component>
   <component name="rate_constants">
      <variable initial_value="300" name="k1" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="5" name="k2" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="30" name="k3" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="30" name="k4" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="0.1" name="k5" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="1" name="k6" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="10" name="k7" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="100" name="k8" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="1" name="k9" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="10" name="k10" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="1" name="k11" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="0" name="k12" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="1" name="k13" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="1" name="k14" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="1" name="k15" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="2" name="k16" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="50" name="k2u" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="0" name="k7u" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="25" name="k16u" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="10" name="az" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="0.1" name="bz" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="1" name="cz" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="10" name="aw" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="0.1" name="bw" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="1" name="cw" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="10" name="ai" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="0.1" name="bi" public_interface="out" units="first_order_rate_constant"/>
      <variable initial_value="1" name="ci" public_interface="out" units="first_order_rate_constant"/>
      <variable name="cyclin_CDK_active" public_interface="in" units="dimensionless"/>
      <variable name="kplus_z" public_interface="out" units="first_order_rate_constant"/>
      <variable name="kplus_w" public_interface="out" units="first_order_rate_constant"/>
      <variable name="kplus_i" public_interface="out" units="first_order_rate_constant"/>
      <variable name="kminus_z" public_interface="out" units="first_order_rate_constant"/>
      <variable name="kminus_w" public_interface="out" units="first_order_rate_constant"/>
      <variable name="kminus_i" public_interface="out" units="first_order_rate_constant"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>kplus_z</ci>
            <apply>
               <plus/>
               <ci>bz</ci>
               <apply>
                  <times/>
                  <ci>cz</ci>
                  <ci>cyclin_CDK_active</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kminus_z</ci>
            <ci>az</ci>
         </apply>
         <apply>
            <eq/>
            <ci>kplus_w</ci>
            <apply>
               <plus/>
               <ci>bw</ci>
               <apply>
                  <times/>
                  <ci>cw</ci>
                  <ci>cyclin_CDK_active</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kminus_w</ci>
            <ci>aw</ci>
         </apply>
         <apply>
            <eq/>
            <ci>kplus_i</ci>
            <apply>
               <plus/>
               <ci>bi</ci>
               <apply>
                  <times/>
                  <ci>ci</ci>
                  <ci>cyclin_CDK_active</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kminus_i</ci>
            <ci>ai</ci>
         </apply>
      </math>
   </component>
   <component name="cyclin">
      <variable cmeta:id="cyclin_cyclin" initial_value="0" name="cyclin" public_interface="out" units="dimensionless"/>
      <variable name="k1" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k2" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k2u" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k3" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k4" public_interface="in" units="first_order_rate_constant"/>
      <variable name="cyclin_CDK_inactive" public_interface="in" units="dimensionless"/>
      <variable name="CDK" public_interface="in" units="dimensionless"/>
      <variable name="APC" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="minute"/>
      <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/>
                  <apply>
                     <plus/>
                     <ci>k1</ci>
                     <apply>
                        <times/>
                        <ci>k4</ci>
                        <ci>cyclin_CDK_inactive</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k3</ci>
                     <ci>cyclin</ci>
                     <ci>CDK</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>k2</ci>
                     <apply>
                        <times/>
                        <ci>k2u</ci>
                        <ci>APC</ci>
                     </apply>
                  </apply>
                  <ci>cyclin</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="cyclin_CDK_inactive">
      <variable cmeta:id="cyclin_CDK_inactive_cyclin_CDK_inactive" initial_value="0.1" name="cyclin_CDK_inactive" public_interface="out" units="dimensionless"/>
      <variable name="k3" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k4" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k5" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k6" public_interface="in" units="first_order_rate_constant"/>
      <variable name="cyclin_CDK_active" public_interface="in" units="dimensionless"/>
      <variable name="wee1" public_interface="in" units="dimensionless"/>
      <variable name="cyclin" public_interface="in" units="dimensionless"/>
      <variable name="CDK" public_interface="in" units="dimensionless"/>
      <variable name="Cdc25_2P" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="minute"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>cyclin_CDK_inactive</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <ci>k3</ci>
                           <ci>cyclin</ci>
                           <ci>CDK</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>k6</ci>
                           <ci>cyclin_CDK_active</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>wee1</ci>
                           <ci>cyclin_CDK_active</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="first_order_rate_constant">1</cn>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k4</ci>
                        <ci>cyclin_CDK_inactive</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k5</ci>
                     <ci>cyclin_CDK_inactive</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>Cdc25_2P</ci>
                  <ci>cyclin_CDK_inactive</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="first_order_rate_constant">1</cn>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="cyclin_CDK_active">
      <variable cmeta:id="cyclin_CDK_active_cyclin_CDK_active" initial_value="0.1" name="cyclin_CDK_active" public_interface="out" units="dimensionless"/>
      <variable name="k5" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k6" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k7" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k7u" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k14" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k15" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k16" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k16u" public_interface="in" units="first_order_rate_constant"/>
      <variable name="Cdc25_2P" public_interface="in" units="dimensionless"/>
      <variable name="CKI" public_interface="in" units="dimensionless"/>
      <variable name="cyclin_CDK_inactive" public_interface="in" units="dimensionless"/>
      <variable name="cyclin_CDK_CKI" public_interface="in" units="dimensionless"/>
      <variable name="cyclin_CDK_CKI_P" public_interface="in" units="dimensionless"/>
      <variable name="wee1" public_interface="in" units="dimensionless"/>
      <variable name="APC" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="minute"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>cyclin_CDK_active</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <apply>
                                 <times/>
                                 <ci>k5</ci>
                                 <ci>cyclin_CDK_inactive</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>Cdc25_2P</ci>
                                 <ci>cyclin_CDK_inactive</ci>
                                 <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="first_order_rate_constant">1</cn>
                              </apply>
                           </apply>
                           <apply>
                              <times/>
                              <ci>k6</ci>
                              <ci>cyclin_CDK_active</ci>
                           </apply>
                        </apply>
                        <apply>
                           <times/>
                           <ci>wee1</ci>
                           <ci>cyclin_CDK_active</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="first_order_rate_constant">1</cn>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <plus/>
                           <ci>k7</ci>
                           <apply>
                              <times/>
                              <ci>k7u</ci>
                              <ci>APC</ci>
                           </apply>
                        </apply>
                        <ci>cyclin_CDK_active</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k14</ci>
                     <ci>cyclin_CDK_active</ci>
                     <ci>CKI</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k15</ci>
                  <ci>cyclin_CDK_CKI</ci>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>k16</ci>
                     <apply>
                        <times/>
                        <ci>k16u</ci>
                        <ci>APC</ci>
                     </apply>
                  </apply>
                  <ci>cyclin_CDK_CKI_P</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Cdc25">
      <variable cmeta:id="Cdc25_Cdc25" initial_value="0" name="Cdc25" public_interface="out" units="dimensionless"/>
      <variable name="k8" public_interface="in" units="first_order_rate_constant"/>
      <variable name="kminus_z" public_interface="in" units="first_order_rate_constant"/>
      <variable name="kplus_z" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k9" public_interface="in" units="first_order_rate_constant"/>
      <variable name="Cdc25_P" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="minute"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Cdc25</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>k8</ci>
                     <apply>
                        <times/>
                        <ci>kminus_z</ci>
                        <ci>Cdc25_P</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kplus_z</ci>
                     <ci>Cdc25</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k9</ci>
                  <ci>Cdc25</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Cdc25_P">
      <variable initial_value="0" name="Cdc25_P" public_interface="out" units="dimensionless"/>
      <variable name="kplus_z" public_interface="in" units="first_order_rate_constant"/>
      <variable name="kminus_z" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k9" public_interface="in" units="first_order_rate_constant"/>
      <variable name="Cdc25" public_interface="in" units="dimensionless"/>
      <variable name="Cdc25_2P" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="minute"/>
      <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>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>kplus_z</ci>
                     <apply>
                        <minus/>
                        <ci>Cdc25</ci>
                        <ci>Cdc25_P</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kminus_z</ci>
                     <apply>
                        <minus/>
                        <ci>Cdc25_2P</ci>
                        <ci>Cdc25_P</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k9</ci>
                  <ci>Cdc25_P</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Cdc25_2P">
      <variable cmeta:id="Cdc25_2P_Cdc25_2P" initial_value="0" name="Cdc25_2P" public_interface="out" units="dimensionless"/>
      <variable name="kminus_z" public_interface="in" units="first_order_rate_constant"/>
      <variable name="kplus_z" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k9" public_interface="in" units="first_order_rate_constant"/>
      <variable name="Cdc25_P" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="minute"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Cdc25_2P</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>kplus_z</ci>
                     <ci>Cdc25_P</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kminus_z</ci>
                     <ci>Cdc25_2P</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k9</ci>
                  <ci>Cdc25_2P</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="wee1">
      <variable cmeta:id="wee1_wee1" initial_value="0" name="wee1" public_interface="out" units="dimensionless"/>
      <variable name="k10" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k11" public_interface="in" units="first_order_rate_constant"/>
      <variable name="kminus_w" public_interface="in" units="first_order_rate_constant"/>
      <variable name="kplus_w" public_interface="in" units="first_order_rate_constant"/>
      <variable name="wee1_P" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="minute"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>wee1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>k10</ci>
                     <apply>
                        <times/>
                        <ci>kminus_w</ci>
                        <ci>wee1_P</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kplus_w</ci>
                     <ci>wee1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k11</ci>
                  <ci>wee1</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="wee1_P">
      <variable cmeta:id="wee1_P_wee1_P" initial_value="0" name="wee1_P" public_interface="out" units="dimensionless"/>
      <variable name="kplus_w" public_interface="in" units="first_order_rate_constant"/>
      <variable name="kminus_w" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k11" public_interface="in" units="first_order_rate_constant"/>
      <variable name="wee1" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="minute"/>
      <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>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>kplus_w</ci>
                     <ci>wee1</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kminus_w</ci>
                     <ci>wee1_P</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k11</ci>
                  <ci>wee1_P</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="APC">
      <variable initial_value="0" name="APC" public_interface="out" units="dimensionless"/>
      <variable initial_value="25" name="tau" units="minute"/>
      <variable name="h_x" units="dimensionless"/>
      <variable name="cyclin_CDK_active" public_interface="in" units="dimensionless"/>
      <variable initial_value="4" name="a" units="dimensionless"/>
      <variable name="time" public_interface="in" units="minute"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>h_x</ci>
            <apply>
               <divide/>
               <apply>
                  <power/>
                  <ci>cyclin_CDK_active</ci>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <power/>
                     <ci>a</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                  </apply>
                  <apply>
                     <power/>
                     <ci>cyclin_CDK_active</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>APC</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>h_x</ci>
                  <ci>APC</ci>
               </apply>
               <ci>tau</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="CKI">
      <variable cmeta:id="CKI_CKI" initial_value="0" name="CKI" public_interface="out" units="dimensionless"/>
      <variable name="k12" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k13" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k14" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k15" public_interface="in" units="first_order_rate_constant"/>
      <variable name="cyclin_CDK_active" public_interface="in" units="dimensionless"/>
      <variable name="cyclin_CDK_CKI" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="minute"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>CKI</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <ci>k12</ci>
                     <apply>
                        <times/>
                        <ci>k13</ci>
                        <ci>CKI</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k14</ci>
                     <ci>cyclin_CDK_active</ci>
                     <ci>CKI</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k15</ci>
                  <ci>cyclin_CDK_CKI</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="cyclin_CDK_CKI">
      <variable cmeta:id="cyclin_CDK_CKI_cyclin_CDK_CKI" initial_value="0" name="cyclin_CDK_CKI" public_interface="out" units="dimensionless"/>
      <variable name="k14" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k15" public_interface="in" units="first_order_rate_constant"/>
      <variable name="kminus_i" public_interface="in" units="first_order_rate_constant"/>
      <variable name="kplus_i" public_interface="in" units="first_order_rate_constant"/>
      <variable name="cyclin_CDK_active" public_interface="in" units="dimensionless"/>
      <variable name="cyclin_CDK_CKI_P" public_interface="in" units="dimensionless"/>
      <variable name="CKI" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="minute"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>cyclin_CDK_CKI</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>k14</ci>
                        <ci>cyclin_CDK_active</ci>
                        <ci>CKI</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k15</ci>
                        <ci>cyclin_CDK_CKI</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kminus_i</ci>
                     <ci>cyclin_CDK_CKI_P</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>kplus_i</ci>
                  <ci>cyclin_CDK_CKI</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="cyclin_CDK_CKI_P">
      <variable cmeta:id="cyclin_CDK_CKI_P_cyclin_CDK_CKI_P" initial_value="0" name="cyclin_CDK_CKI_P" public_interface="out" units="dimensionless"/>
      <variable name="k14" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k15" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k16" public_interface="in" units="first_order_rate_constant"/>
      <variable name="k16u" public_interface="in" units="first_order_rate_constant"/>
      <variable name="kminus_i" public_interface="in" units="first_order_rate_constant"/>
      <variable name="kplus_i" public_interface="in" units="first_order_rate_constant"/>
      <variable name="APC" public_interface="in" units="dimensionless"/>
      <variable name="cyclin_CDK_CKI" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="minute"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>cyclin_CDK_CKI_P</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>kplus_i</ci>
                     <ci>cyclin_CDK_CKI</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kminus_i</ci>
                     <ci>cyclin_CDK_CKI_P</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>k16</ci>
                     <apply>
                        <times/>
                        <ci>k16u</ci>
                        <ci>APC</ci>
                     </apply>
                  </apply>
                  <ci>cyclin_CDK_CKI_P</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="CDK">
      <variable cmeta:id="CDK_CDK" name="CDK" public_interface="out" units="dimensionless"/>
      <variable name="cyclin_CDK_CKI_P" public_interface="in" units="dimensionless"/>
      <variable name="cyclin_CDK_CKI" public_interface="in" units="dimensionless"/>
      <variable initial_value="200" name="CDK_T" units="dimensionless"/>
      <variable name="cyclin_CDK_active" public_interface="in" units="dimensionless"/>
      <variable name="cyclin_CDK_inactive" public_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>CDK</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <apply>
                           <minus/>
                           <ci>CDK_T</ci>
                           <ci>cyclin_CDK_active</ci>
                        </apply>
                        <ci>cyclin_CDK_inactive</ci>
                     </apply>
                     <ci>cyclin_CDK_CKI</ci>
                  </apply>
                  <ci>cyclin_CDK_CKI_P</ci>
               </apply>
               <ci>CDK_T</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="cyclin_T">
      <variable name="cyclin_T" public_interface="out" units="dimensionless"/>
      <variable name="cyclin" public_interface="in" units="dimensionless"/>
      <variable name="cyclin_CDK_active" public_interface="in" units="dimensionless"/>
      <variable name="cyclin_CDK_inactive" public_interface="in" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>cyclin_T</ci>
            <apply>
               <plus/>
               <ci>cyclin</ci>
               <ci>cyclin_CDK_active</ci>
               <ci>cyclin_CDK_inactive</ci>
            </apply>
         </apply>
      </math>
   </component>
   <connection>
      <map_components component_1="cyclin" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_inactive" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_active" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="Cdc25" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="Cdc25_P" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="Cdc25_2P" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="wee1" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="wee1_P" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="APC" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="CKI" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_CKI" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_CKI_P" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="rate_constants" component_2="cyclin_CDK_active"/>
      <map_variables variable_1="cyclin_CDK_active" variable_2="cyclin_CDK_active"/>
      <map_variables variable_1="k5" variable_2="k5"/>
      <map_variables variable_1="k6" variable_2="k6"/>
      <map_variables variable_1="k7" variable_2="k7"/>
      <map_variables variable_1="k7u" variable_2="k7u"/>
      <map_variables variable_1="k14" variable_2="k14"/>
      <map_variables variable_1="k15" variable_2="k15"/>
      <map_variables variable_1="k16" variable_2="k16"/>
      <map_variables variable_1="k16u" variable_2="k16u"/>
   </connection>
   <connection>
      <map_components component_1="cyclin" component_2="rate_constants"/>
      <map_variables variable_1="k1" variable_2="k1"/>
      <map_variables variable_1="k2" variable_2="k2"/>
      <map_variables variable_1="k2u" variable_2="k2u"/>
      <map_variables variable_1="k3" variable_2="k3"/>
      <map_variables variable_1="k4" variable_2="k4"/>
   </connection>
   <connection>
      <map_components component_1="cyclin" component_2="cyclin_CDK_inactive"/>
      <map_variables variable_1="cyclin_CDK_inactive" variable_2="cyclin_CDK_inactive"/>
      <map_variables variable_1="cyclin" variable_2="cyclin"/>
   </connection>
   <connection>
      <map_components component_1="cyclin" component_2="CDK"/>
      <map_variables variable_1="CDK" variable_2="CDK"/>
   </connection>
   <connection>
      <map_components component_1="cyclin" component_2="APC"/>
      <map_variables variable_1="APC" variable_2="APC"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_inactive" component_2="rate_constants"/>
      <map_variables variable_1="k3" variable_2="k3"/>
      <map_variables variable_1="k4" variable_2="k4"/>
      <map_variables variable_1="k5" variable_2="k5"/>
      <map_variables variable_1="k6" variable_2="k6"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_inactive" component_2="cyclin_CDK_active"/>
      <map_variables variable_1="cyclin_CDK_active" variable_2="cyclin_CDK_active"/>
      <map_variables variable_1="cyclin_CDK_inactive" variable_2="cyclin_CDK_inactive"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_inactive" component_2="wee1"/>
      <map_variables variable_1="wee1" variable_2="wee1"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_inactive" component_2="CDK"/>
      <map_variables variable_1="CDK" variable_2="CDK"/>
      <map_variables variable_1="cyclin_CDK_inactive" variable_2="cyclin_CDK_inactive"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_inactive" component_2="Cdc25_2P"/>
      <map_variables variable_1="Cdc25_2P" variable_2="Cdc25_2P"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_active" component_2="Cdc25_2P"/>
      <map_variables variable_1="Cdc25_2P" variable_2="Cdc25_2P"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_active" component_2="CKI"/>
      <map_variables variable_1="CKI" variable_2="CKI"/>
      <map_variables variable_1="cyclin_CDK_active" variable_2="cyclin_CDK_active"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_active" component_2="cyclin_CDK_CKI"/>
      <map_variables variable_1="cyclin_CDK_CKI" variable_2="cyclin_CDK_CKI"/>
      <map_variables variable_1="cyclin_CDK_active" variable_2="cyclin_CDK_active"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_active" component_2="cyclin_CDK_CKI_P"/>
      <map_variables variable_1="cyclin_CDK_CKI_P" variable_2="cyclin_CDK_CKI_P"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_active" component_2="wee1"/>
      <map_variables variable_1="wee1" variable_2="wee1"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_active" component_2="APC"/>
      <map_variables variable_1="APC" variable_2="APC"/>
      <map_variables variable_1="cyclin_CDK_active" variable_2="cyclin_CDK_active"/>
   </connection>
   <connection>
      <map_components component_1="Cdc25" component_2="rate_constants"/>
      <map_variables variable_1="k8" variable_2="k8"/>
      <map_variables variable_1="kminus_z" variable_2="kminus_z"/>
      <map_variables variable_1="kplus_z" variable_2="kplus_z"/>
      <map_variables variable_1="k9" variable_2="k9"/>
   </connection>
   <connection>
      <map_components component_1="Cdc25" component_2="Cdc25_P"/>
      <map_variables variable_1="Cdc25_P" variable_2="Cdc25_P"/>
      <map_variables variable_1="Cdc25" variable_2="Cdc25"/>
   </connection>
   <connection>
      <map_components component_1="Cdc25_P" component_2="rate_constants"/>
      <map_variables variable_1="kplus_z" variable_2="kplus_z"/>
      <map_variables variable_1="kminus_z" variable_2="kminus_z"/>
      <map_variables variable_1="k9" variable_2="k9"/>
   </connection>
   <connection>
      <map_components component_1="Cdc25_P" component_2="Cdc25_2P"/>
      <map_variables variable_1="Cdc25_2P" variable_2="Cdc25_2P"/>
      <map_variables variable_1="Cdc25_P" variable_2="Cdc25_P"/>
   </connection>
   <connection>
      <map_components component_1="Cdc25_2P" component_2="rate_constants"/>
      <map_variables variable_1="kminus_z" variable_2="kminus_z"/>
      <map_variables variable_1="kplus_z" variable_2="kplus_z"/>
      <map_variables variable_1="k9" variable_2="k9"/>
   </connection>
   <connection>
      <map_components component_1="wee1" component_2="rate_constants"/>
      <map_variables variable_1="k10" variable_2="k10"/>
      <map_variables variable_1="k11" variable_2="k11"/>
      <map_variables variable_1="kminus_w" variable_2="kminus_w"/>
      <map_variables variable_1="kplus_w" variable_2="kplus_w"/>
   </connection>
   <connection>
      <map_components component_1="wee1" component_2="wee1_P"/>
      <map_variables variable_1="wee1_P" variable_2="wee1_P"/>
      <map_variables variable_1="wee1" variable_2="wee1"/>
   </connection>
   <connection>
      <map_components component_1="wee1_P" component_2="rate_constants"/>
      <map_variables variable_1="kplus_w" variable_2="kplus_w"/>
      <map_variables variable_1="kminus_w" variable_2="kminus_w"/>
      <map_variables variable_1="k11" variable_2="k11"/>
   </connection>
   <connection>
      <map_components component_1="CKI" component_2="rate_constants"/>
      <map_variables variable_1="k12" variable_2="k12"/>
      <map_variables variable_1="k13" variable_2="k13"/>
      <map_variables variable_1="k14" variable_2="k12"/>
      <map_variables variable_1="k15" variable_2="k15"/>
   </connection>
   <connection>
      <map_components component_1="CKI" component_2="cyclin_CDK_CKI"/>
      <map_variables variable_1="cyclin_CDK_CKI" variable_2="cyclin_CDK_CKI"/>
      <map_variables variable_1="CKI" variable_2="CKI"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_CKI" component_2="rate_constants"/>
      <map_variables variable_1="k14" variable_2="k14"/>
      <map_variables variable_1="k15" variable_2="k15"/>
      <map_variables variable_1="kminus_i" variable_2="kminus_i"/>
      <map_variables variable_1="kplus_i" variable_2="kplus_i"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_CKI" component_2="cyclin_CDK_CKI_P"/>
      <map_variables variable_1="cyclin_CDK_CKI_P" variable_2="cyclin_CDK_CKI_P"/>
      <map_variables variable_1="cyclin_CDK_CKI" variable_2="cyclin_CDK_CKI"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_CKI_P" component_2="rate_constants"/>
      <map_variables variable_1="k14" variable_2="k14"/>
      <map_variables variable_1="k15" variable_2="k15"/>
      <map_variables variable_1="k16" variable_2="k16"/>
      <map_variables variable_1="k16u" variable_2="k16u"/>
      <map_variables variable_1="kminus_i" variable_2="kminus_i"/>
      <map_variables variable_1="kplus_i" variable_2="kplus_i"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_CDK_CKI_P" component_2="APC"/>
      <map_variables variable_1="APC" variable_2="APC"/>
   </connection>
   <connection>
      <map_components component_1="CDK" component_2="cyclin_CDK_CKI_P"/>
      <map_variables variable_1="cyclin_CDK_CKI_P" variable_2="cyclin_CDK_CKI_P"/>
   </connection>
   <connection>
      <map_components component_1="CDK" component_2="cyclin_CDK_CKI"/>
      <map_variables variable_1="cyclin_CDK_CKI" variable_2="cyclin_CDK_CKI"/>
   </connection>
   <connection>
      <map_components component_1="CDK" component_2="cyclin_CDK_active"/>
      <map_variables variable_1="cyclin_CDK_active" variable_2="cyclin_CDK_active"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_T" component_2="cyclin"/>
      <map_variables variable_1="cyclin" variable_2="cyclin"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_T" component_2="cyclin_CDK_active"/>
      <map_variables variable_1="cyclin_CDK_active" variable_2="cyclin_CDK_active"/>
   </connection>
   <connection>
      <map_components component_1="cyclin_T" component_2="cyclin_CDK_inactive"/>
      <map_variables variable_1="cyclin_CDK_inactive" variable_2="cyclin_CDK_inactive"/>
   </connection>



<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
  <rdf:Seq rdf:about="rdf:#762888e2-9fdf-4b60-a8a5-bf9aef3a6436">
    <rdf:li rdf:resource="rdf:#571fc4b5-2308-442e-b2f7-e4518405ae8c"/>
    <rdf:li rdf:resource="rdf:#90d99016-9041-4e32-8414-8ae53b46bdb6"/>
    <rdf:li rdf:resource="rdf:#059b2650-5618-4dfa-a690-712d27aeb378"/>
  </rdf:Seq>
  <rdf:Description rdf:about="rdf:#$LwW+52">
    <rdf:rest rdf:resource="http://www.w3.org/1999/02/22-rdf-syntax-ns#nil"/>
    <rdf:first rdf:resource="rdf:#$MwW+52"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#ad5f4722-41f1-40d9-a6c2-21b8bbaaaf04">
    <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">W.</vCard:Given>
    <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">MacLellan</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#$KwW+52">
    <ns7:boundIntervals xmlns:ns7="http://www.cellml.org/metadata/simulation/1.0#" rdf:resource="rdf:#$LwW+52"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#4280b0a8-a273-42f4-b979-395896e0eded">
    <vCard:Orgname xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">The University of Auckland</vCard:Orgname>
    <vCard:Orgunit xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Auckland Bioengineering Institute</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c1657942-4b0c-4f41-908e-00896492f988">
    <vCard:FN xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Jeelean Lim</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="">
    <dc:publisher xmlns:dc="http://purl.org/dc/elements/1.1/"/>
    <cmeta:comment rdf:resource="rdf:#c55ab28d-c81b-4d62-89f6-c1d31235208c"/>
    <dcterms:created xmlns:dcterms="http://purl.org/dc/terms/" rdf:resource="rdf:#526ecdc2-3c68-489e-9d0e-45aee5020420"/>
    <dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:resource="rdf:#5604857d-cef3-484d-8614-e2ddf8784f5d"/>
    <cmeta:modification rdf:resource="rdf:#6d108b2c-b51e-46ad-8cde-defe23951582"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#90d99016-9041-4e32-8414-8ae53b46bdb6">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#ad5f4722-41f1-40d9-a6c2-21b8bbaaaf04"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#571fc4b5-2308-442e-b2f7-e4518405ae8c">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#83fc9fb6-6c9d-4a28-95de-146ff61974cc"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#bb82c9df-34c8-44ba-b0ca-561e0eba3125">
    <dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:resource="rdf:#762888e2-9fdf-4b60-a8a5-bf9aef3a6436"/>
    <dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Dynamics of the Cell Cycle: Checkpoints, Sizers, and Timers</dc:title>
    <bqs:volume xmlns:bqs="http://www.cellml.org/bqs/1.0#">85</bqs:volume>
    <bqs:first_page xmlns:bqs="http://www.cellml.org/bqs/1.0#">3600</bqs:first_page>
    <bqs:Journal xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:resource="rdf:#908b5419-0c53-4738-81e2-7855d78b4bc0"/>
    <dcterms:issued xmlns:dcterms="http://purl.org/dc/terms/" rdf:resource="rdf:#09d419a8-7f02-4f4b-a7ae-10bef444c4f1"/>
    <bqs:last_page xmlns:bqs="http://www.cellml.org/bqs/1.0#">3611</bqs:last_page>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e4822fcf-6288-4269-ba84-b7b8805c885d">
    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#0421fe05-b7d7-4c7f-886d-f88f7b3453f0"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#$MwW+52">
    <ns7:endingValue xmlns:ns7="http://www.cellml.org/metadata/simulation/1.0#">300</ns7:endingValue>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#6d108b2c-b51e-46ad-8cde-defe23951582">
    <dcterms:modified xmlns:dcterms="http://purl.org/dc/terms/" rdf:resource="rdf:#22c3545d-8d32-4806-b2d9-b8dd1024c6f1"/>
    <rdf:value>Added cmeta id to some variables</rdf:value>
    <cmeta:modifier rdf:resource="rdf:#e4822fcf-6288-4269-ba84-b7b8805c885d"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#526ecdc2-3c68-489e-9d0e-45aee5020420">
    <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2009-01-23T00:00:00+00:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#d0cd5d79-948a-44e6-8ed3-76c63a2593e7">
    <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
    <rdf:value>jlim063@aucklanduni.ac.nz</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#0421fe05-b7d7-4c7f-886d-f88f7b3453f0">
    <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Jeelean</vCard:Given>
    <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Lim</vCard:Family>
    <vCard:Other xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#1444b36d-c3df-42a5-9582-b8aed2f80984">
    <dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:resource="rdf:#c1657942-4b0c-4f41-908e-00896492f988"/>
    <rdf:value>This CellML version of the model has been checked in COR and PCEnv and the model runs to replicate the results in the original published paper. The authors used dimensionless variables and parameters, but the rate constants are given units in this CellML version.
Equation 2 on page 3604 of the paper describing the cell size is not included in this CellML description. BioModels database was used as a guide to obtain values for the initial concentrations of variables.</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#5604857d-cef3-484d-8614-e2ddf8784f5d">
    <vCard:ORG xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#4280b0a8-a273-42f4-b979-395896e0eded"/>
    <vCard:EMAIL xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#d0cd5d79-948a-44e6-8ed3-76c63a2593e7"/>
    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#baec4162-9d0f-4e90-be69-9676946b2c16"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#2271b680-6ead-4dfd-8583-57a9003308d5">
    <vCard:FN xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Jeelean Lim</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#83fc9fb6-6c9d-4a28-95de-146ff61974cc">
    <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Zhilin</vCard:Given>
    <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Qu</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#09d419a8-7f02-4f4b-a7ae-10bef444c4f1">
    <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2003-01-00 00:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#11cf6daf-6322-4a2c-b6c8-53103772090a">
    <vCard:FN xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Jeelean Lim</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c1d012bb-d712-4441-b352-757a7e87910a">
    <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">James</vCard:Given>
    <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Weiss</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#d70de9cf-70aa-4609-a945-f366c391a4bd">
    <dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:resource="rdf:#11cf6daf-6322-4a2c-b6c8-53103772090a"/>
    <rdf:value>This is the CellML description of Qu et al.'s 2003 mathematical model of the dynamics of the cell cycle.</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#baec4162-9d0f-4e90-be69-9676946b2c16">
    <vCard:Given xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Jeelean</vCard:Given>
    <vCard:Family xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">Lim</vCard:Family>
    <vCard:Other xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#22c3545d-8d32-4806-b2d9-b8dd1024c6f1">
    <dcterms:W3CDTF xmlns:dcterms="http://purl.org/dc/terms/">2009-02-12T10:43:01+13:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="#qu_2003">
    <ns7:simulation xmlns:ns7="http://www.cellml.org/metadata/simulation/1.0#" rdf:resource="rdf:#$KwW+52"/>
    <bqs:reference xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:resource="rdf:#84417d8e-a999-4cf5-bab2-21c528ec14e6"/>
<bqs:reference xmlns:bqs="http://www.cellml.org/bqs/1.0#" 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>cell cycle</rdf:li>
      </rdf:Bag>
    </rdf:value>
  </dc:subject>
</bqs:reference>
    <cmeta:comment rdf:resource="rdf:#d70de9cf-70aa-4609-a945-f366c391a4bd"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#908b5419-0c53-4738-81e2-7855d78b4bc0">
    <dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Biophysical Journal</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#059b2650-5618-4dfa-a690-712d27aeb378">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" rdf:resource="rdf:#c1d012bb-d712-4441-b352-757a7e87910a"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c55ab28d-c81b-4d62-89f6-c1d31235208c">
    <dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:resource="rdf:#2271b680-6ead-4dfd-8583-57a9003308d5"/>
    <rdf:value>This CellML version of the model has been checked in COR and PCEnv and the model runs to replicate the results in the original published paper. The authors used dimensionless variables and parameters, but the rate constants are given units in this CellML version.
Equation 2 on page 3604 of the paper describing the cell size is not included in this CellML description. BioModels database was used as a guide to obtain values for the initial concentrations of variables.</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#84417d8e-a999-4cf5-bab2-21c528ec14e6">
    <bqs:Pubmed_id xmlns:bqs="http://www.cellml.org/bqs/1.0#">14645053</bqs:Pubmed_id>
    <bqs:JournalArticle xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:resource="rdf:#bb82c9df-34c8-44ba-b0ca-561e0eba3125"/>
  </rdf:Description>
</rdf:RDF>
</model>