Rendering of the source text

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This CellML file was generated on 17/02/2009 at 11:44:00 at a.m. using:

COR (0.9.31.1175)
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/
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				<title>Cell Size at S Phase Initiation: An Emergent Property of the G1/S Network</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 runs in PCEnv and COR to produce graphs that are similar in shape but not in magnitude to the graphs in figure 3 of the published paper. This could possibly be due to a missing variable k55 in the equation for cdk1_c. The units have been checked and are consistent.
          </para>
			</section>
			<sect1 id="sec_structure">
				<title>Model Structure</title>
				<para>
ABSTRACT: The eukaryotic cell cycle is the repeated sequence of events that enable the division of a cell into two daughter cells. It
is divided into four phases: G1, S, G2, and M. Passage through the cell cycle is strictly regulated by a molecular
interaction network, which involves the periodic synthesis and destruction of cyclins that bind and activate cyclindependent
kinases that are present in nonlimiting amounts. Cyclin-dependent kinase inhibitors contribute to cell cycle
control. 
</para>
				<para>
Budding yeast is an established model organism for cell cycle studies, and several mathematical models have
been proposed for its cell cycle. An area of major relevance in cell cycle control is the G1 to S transition. In any given
growth condition, it is characterized by the requirement of a specific, critical cell size, PS, to enter S phase. The
molecular basis of this control is still under discussion.
</para>
				<para>
The authors report a mathematical model of the G1 to S network
that newly takes into account nucleo/cytoplasmic localization, the role of the cyclin-dependent kinase Sic1 in
facilitating nuclear import of its cognate Cdk1-Clb5, Whi5 control, and carbon source regulation of Sic1 and Sic1-
containing complexes. The model was implemented by a set of ordinary differential equations that describe the
temporal change of the concentration of the involved proteins and protein complexes. The model was tested by
simulation in several genetic and nutritional setups and was found to be neatly consistent with experimental data. To
estimate PS, the authors developed a hybrid model including a probabilistic component for firing of DNA replication
origins. Sensitivity analysis of PS provides a novel relevant conclusion: PS is an emergent property of the G1 to S
network that strongly depends on growth rate.   
</para>
				<para>
The complete original paper reference is cited below:
</para>
				<para>
					<ulink url="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.0030064">Cell Size at S Phase Initiation: An Emergent Property of the G1/S Network</ulink>, Matteo Barberis, Edda Klipp, Marco Vanoni, Lilia Alberghina, 2007, <ulink url="http://www.ploscompbiol.org/home.action;jsessionid=645EF1CFEC82DFB57D328F551865F7A6">
						<emphasis>PLOS Computational Biology</emphasis>
					</ulink>.  (A PDF version of the article is available to subscribers on the journal website.)  <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/17432928">PubMed ID: 17432928 </ulink>
				</para>
				<informalfigure float="0" id="fig_reaction_diagram">
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							<objectinfo>
								<title>figure1</title>
							</objectinfo>
							<imagedata fileref="barberis_2007.png"/>
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					<caption>Main Events That Occur during the Yeast Cell Cycle</caption>
				</informalfigure>
			</sect1>
		</article>
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                  <ci>cdk1clb5sic1_c</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
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      <variable name="k_9" units="flux" public_interface="in"/>
      <variable name="k_32" units="second_order_rate_constant" public_interface="in"/>
      <variable name="k_33" units="first_order_rate_constant" public_interface="in"/>
      <variable name="k_18" units="first_order_rate_constant" public_interface="in"/>
      <variable name="cdk1clb5_c" units="nanomolar" public_interface="in"/>
      <variable name="cdk1clb5sic1_c" units="nanomolar" public_interface="in"/>
      <variable name="v_c" units="nanomolar" public_interface="in"/>
      <variable name="dv_c_dt" units="flux" public_interface="in"/>
      <variable name="time" units="minute" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>sic1_c</ci>
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            <apply>
               <minus/>
               <apply>
                  <minus/>
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                     <plus/>
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                        <minus/>
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                           <times/>
                           <ci>k_32</ci>
                           <ci>sic1_c</ci>
                           <ci>cdk1clb5_c</ci>
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                        <times/>
                        <ci>k_33</ci>
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                     <times/>
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               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
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                     <ci>v_c</ci>
                  </apply>
                  <ci>sic1_c</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="whi5_c">
      <variable name="whi5_c" units="nanomolar" initial_value="0.073564" public_interface="out"/>
      <variable name="k_8" units="flux" public_interface="in"/>
      <variable name="k_45" units="first_order_rate_constant" public_interface="in"/>
      <variable name="k_17" units="first_order_rate_constant" public_interface="in"/>
      <variable name="v_c" units="nanomolar" public_interface="in"/>
      <variable name="dv_c_dt" units="flux" public_interface="in"/>
      <variable name="time" units="minute" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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            <apply>
               <minus/>
               <apply>
                  <minus/>
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                     <minus/>
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                        <times/>
                        <ci>k_45</ci>
                        <ci>whi5_c</ci>
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                  <apply>
                     <times/>
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                  <times/>
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                     <divide/>
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                  <ci>whi5_c</ci>
               </apply>
            </apply>
         </apply>
      </math>
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      <variable name="k_5" units="flux" public_interface="in"/>
      <variable name="k_42" units="first_order_rate_constant" public_interface="in"/>
      <variable name="k_14" units="first_order_rate_constant" public_interface="in"/>
      <variable name="v_c" units="nanomolar" public_interface="in"/>
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      <variable name="time" units="minute" public_interface="in"/>
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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            <apply>
               <minus/>
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                  <minus/>
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                     <minus/>
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                        <times/>
                        <ci>k_42</ci>
                        <ci>far1_c</ci>
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                  <apply>
                     <times/>
                     <ci>k_14</ci>
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                  <times/>
                  <apply>
                     <divide/>
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                     <ci>v_c</ci>
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                  <ci>far1_c</ci>
               </apply>
            </apply>
         </apply>
      </math>
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   <component name="whi5p_c">
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      <variable name="k_52" units="first_order_rate_constant" public_interface="in"/>
      <variable name="whi5p_n" units="nanomolar" public_interface="in"/>
      <variable name="k_volume" units="dimensionless" public_interface="in"/>
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            <eq/>
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               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>whi5p_c</ci>
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               <times/>
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            <eq/>
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               <diff/>
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                  <ci>time</ci>
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               <times/>
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               <bvar>
                  <ci>time</ci>
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               <times/>
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            <eq/>
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                  <ci>time</ci>
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               <minus/>
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                  <minus/>
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                        <ci>k_45</ci>
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                  <times/>
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   <connection>
      <map_components component_1="k_volume" component_2="v_n"/>
      <map_variables variable_1="v_n" variable_2="v_n"/>
   </connection>
   <connection>
      <map_components component_1="k_volume" component_2="v_c"/>
      <map_variables variable_1="v_c" variable_2="v_c"/>
   </connection>
   <connection>
      <map_components component_1="dv_c_dt" component_2="v_c"/>
      <map_variables variable_1="v_c" variable_2="v_c"/>
      <map_variables variable_1="dv_c_dt" variable_2="dv_c_dt"/>
   </connection>
   <connection>
      <map_components component_1="mcln2_c" component_2="rate_constants"/>
      <map_variables variable_1="k_50" variable_2="k_50"/>
      <map_variables variable_1="k_10" variable_2="k_10"/>
   </connection>
   <connection>
      <map_components component_1="mcln2_c" component_2="mcln2_n"/>
      <map_variables variable_1="mcln2_n" variable_2="mcln2_n"/>
   </connection>
   <connection>
      <map_components component_1="mcln2_c" component_2="k_volume"/>
      <map_variables variable_1="k_volume" variable_2="k_volume"/>
   </connection>
   <connection>
      <map_components component_1="mcln2_c" component_2="v_c"/>
      <map_variables variable_1="v_c" variable_2="v_c"/>
   </connection>
   <connection>
      <map_components component_1="mcln2_c" component_2="dv_c_dt"/>
      <map_variables variable_1="dv_c_dt" variable_2="dv_c_dt"/>
   </connection>
   <connection>
      <map_components component_1="mclb5_c" component_2="rate_constants"/>
      <map_variables variable_1="k_51" variable_2="k_51"/>
      <map_variables variable_1="k_11" variable_2="k_11"/>
   </connection>
   <connection>
      <map_components component_1="mclb5_c" component_2="mclb5_n"/>
      <map_variables variable_1="mclb5_n" variable_2="mclb5_n"/>
   </connection>
   <connection>
      <map_components component_1="mclb5_c" component_2="k_volume"/>
      <map_variables variable_1="k_volume" variable_2="k_volume"/>
   </connection>
   <connection>
      <map_components component_1="mclb5_c" component_2="v_c"/>
      <map_variables variable_1="v_c" variable_2="v_c"/>
   </connection>
   <connection>
      <map_components component_1="mclb5_c" component_2="dv_c_dt"/>
      <map_variables variable_1="dv_c_dt" variable_2="dv_c_dt"/>
   </connection>
   <connection>
      <map_components component_1="mcln2_n" component_2="rate_constants"/>
      <map_variables variable_1="k_1" variable_2="k_1"/>
      <map_variables variable_1="k_50" variable_2="k_50"/>
   </connection>
   <connection>
      <map_components component_1="mcln2_n" component_2="sbf_n"/>
      <map_variables variable_1="sbf_n" variable_2="sbf_n"/>
   </connection>
   <connection>
      <map_components component_1="mclb5_n" component_2="rate_constants"/>
      <map_variables variable_1="k_2" variable_2="k_2"/>
      <map_variables variable_1="k_51" variable_2="k_51"/>
   </connection>
   <connection>
      <map_components component_1="mclb5_n" component_2="sbf_n"/>
      <map_variables variable_1="sbf_n" variable_2="sbf_n"/>
   </connection>
   <connection>
      <map_components component_1="sbf_n" component_2="rate_constants"/>
      <map_variables variable_1="k_39" variable_2="k_39"/>
      <map_variables variable_1="k_34" variable_2="k_34"/>
      <map_variables variable_1="k_35" variable_2="k_35"/>
   </connection>
   <connection>
      <map_components component_1="sbf_n" component_2="sbfwhi5p_n"/>
      <map_variables variable_1="sbfwhi5p_n" variable_2="sbfwhi5p_n"/>
   </connection>
   <connection>
      <map_components component_1="sbf_n" component_2="whi5_n"/>
      <map_variables variable_1="whi5_n" variable_2="whi5_n"/>
      <map_variables variable_1="sbf_n" variable_2="sbf_n"/>
   </connection>
   <connection>
      <map_components component_1="sbf_n" component_2="sbfwhi5_n"/>
      <map_variables variable_1="sbfwhi5_n" variable_2="sbfwhi5_n"/>
      <map_variables variable_1="sbf_n" variable_2="sbf_n"/>
   </connection>
   <connection>
      <map_components component_1="cln3_c" component_2="rate_constants"/>
      <map_variables variable_1="k_6" variable_2="k_6"/>
      <map_variables variable_1="k_43" variable_2="k_43"/>
      <map_variables variable_1="k_15" variable_2="k_15"/>
   </connection>
   <connection>
      <map_components component_1="cln3_c" component_2="v_c"/>
      <map_variables variable_1="v_c" variable_2="v_c"/>
   </connection>
   <connection>
      <map_components component_1="cln3_c" component_2="dv_c_dt"/>
      <map_variables variable_1="dv_c_dt" variable_2="dv_c_dt"/>
   </connection>
   <connection>
      <map_components component_1="cln2_c" component_2="rate_constants"/>
      <map_variables variable_1="k_3" variable_2="k_3"/>
      <map_variables variable_1="k_26" variable_2="k_26"/>
      <map_variables variable_1="k_27" variable_2="k_27"/>
      <map_variables variable_1="k_12" variable_2="k_12"/>
   </connection>
   <connection>
      <map_components component_1="cln2_c" component_2="mcln2_c"/>
      <map_variables variable_1="mcln2_c" variable_2="mcln2_c"/>
   </connection>
   <connection>
      <map_components component_1="cln2_c" component_2="cdk1_c"/>
      <map_variables variable_1="cdk1_c" variable_2="cdk1_c"/>
      <map_variables variable_1="cln2_c" variable_2="cln2_c"/>
   </connection>
   <connection>
      <map_components component_1="cln2_c" component_2="cdk1cln2_c"/>
      <map_variables variable_1="cdk1cln2_c" variable_2="cdk1cln2_c"/>
      <map_variables variable_1="cln2_c" variable_2="cln2_c"/>
   </connection>
   <connection>
      <map_components component_1="cln2_c" component_2="v_c"/>
      <map_variables variable_1="v_c" variable_2="v_c"/>
   </connection>
   <connection>
      <map_components component_1="cln2_c" component_2="dv_c_dt"/>
      <map_variables variable_1="dv_c_dt" variable_2="dv_c_dt"/>
   </connection>
   <connection>
      <map_components component_1="clb5_c" component_2="rate_constants"/>
      <map_variables variable_1="k_4" variable_2="k_4"/>
      <map_variables variable_1="k_28" variable_2="k_28"/>
      <map_variables variable_1="k_29" variable_2="k_29"/>
      <map_variables variable_1="k_13" variable_2="k_13"/>
   </connection>
   <connection>
      <map_components component_1="clb5_c" component_2="mclb5_c"/>
      <map_variables variable_1="mclb5_c" variable_2="mclb5_c"/>
   </connection>
   <connection>
      <map_components component_1="clb5_c" component_2="cdk1_c"/>
      <map_variables variable_1="cdk1_c" variable_2="cdk1_c"/>
      <map_variables variable_1="clb5_c" variable_2="clb5_c"/>
   </connection>
   <connection>
      <map_components component_1="clb5_c" component_2="cdk1clb5_c"/>
      <map_variables variable_1="cdk1clb5_c" variable_2="cdk1clb5_c"/>
      <map_variables variable_1="clb5_c" variable_2="clb5_c"/>
   </connection>
   <connection>
      <map_components component_1="clb5_c" component_2="v_c"/>
      <map_variables variable_1="v_c" variable_2="v_c"/>
   </connection>
   <connection>
      <map_components component_1="clb5_c" component_2="dv_c_dt"/>
      <map_variables variable_1="dv_c_dt" variable_2="dv_c_dt"/>
   </connection>
   <connection>
      <map_components component_1="cdk1_c" component_2="rate_constants"/>
      <map_variables variable_1="k_7" variable_2="k_7"/>
      <map_variables variable_1="k_44" variable_2="k_44"/>
      <map_variables variable_1="k_49" variable_2="k_49"/>
      <map_variables variable_1="k_27" variable_2="k_27"/>
      <map_variables variable_1="k_26" variable_2="k_26"/>
      <map_variables variable_1="k_28" variable_2="k_28"/>
      <map_variables variable_1="k_29" variable_2="k_29"/>
      <map_variables variable_1="k_16" variable_2="k_16"/>
   </connection>
   <connection>
      <map_components component_1="cdk1_c" component_2="cdk1_n"/>
      <map_variables variable_1="cdk1_n" variable_2="cdk1_n"/>
      <map_variables variable_1="cdk1_c" variable_2="cdk1_c"/>
   </connection>
   <connection>
      <map_components component_1="cdk1_c" component_2="cdk1cln2_c"/>
      <map_variables variable_1="cdk1cln2_c" variable_2="cdk1cln2_c"/>
      <map_variables variable_1="cdk1_c" variable_2="cdk1_c"/>
   </connection>
   <connection>
      <map_components component_1="cdk1_c" component_2="cdk1clb5_c"/>
      <map_variables variable_1="cdk1clb5_c" variable_2="cdk1clb5_c"/>
      <map_variables variable_1="cdk1_c" variable_2="cdk1_c"/>
   </connection>
   <connection>
      <map_components component_1="cdk1_c" component_2="dv_c_dt"/>
      <map_variables variable_1="dv_c_dt" variable_2="dv_c_dt"/>
   </connection>
   <connection>
      <map_components component_1="cdk1_c" component_2="v_c"/>
      <map_variables variable_1="v_c" variable_2="v_c"/>
   </connection>
   <connection>
      <map_components component_1="cln3_n" component_2="rate_constants"/>
      <map_variables variable_1="k_24" variable_2="k_24"/>
      <map_variables variable_1="k_43" variable_2="k_43"/>
      <map_variables variable_1="k_25" variable_2="k_25"/>
      <map_variables variable_1="k_20" variable_2="k_20"/>
   </connection>
   <connection>
      <map_components component_1="cln3_n" component_2="cln3_c"/>
      <map_variables variable_1="cln3_c" variable_2="cln3_c"/>
   </connection>
   <connection>
      <map_components component_1="cln3_n" component_2="k_volume"/>
      <map_variables variable_1="k_volume" variable_2="k_volume"/>
   </connection>
   <connection>
      <map_components component_1="cln3_n" component_2="cdk1_n"/>
      <map_variables variable_1="cdk1_n" variable_2="cdk1_n"/>
      <map_variables variable_1="cln3_n" variable_2="cln3_n"/>
   </connection>
   <connection>
      <map_components component_1="cln3_n" component_2="cdk1cln3_n"/>
      <map_variables variable_1="cdk1cln3_n" variable_2="cdk1cln3_n"/>
      <map_variables variable_1="cln3_n" variable_2="cln3_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1_n" component_2="rate_constants"/>
      <map_variables variable_1="k_44" variable_2="k_44"/>
      <map_variables variable_1="k_49" variable_2="k_49"/>
      <map_variables variable_1="k_24" variable_2="k_24"/>
      <map_variables variable_1="k_25" variable_2="k_25"/>
      <map_variables variable_1="k_21" variable_2="k_21"/>
   </connection>
   <connection>
      <map_components component_1="cdk1_n" component_2="k_volume"/>
      <map_variables variable_1="k_volume" variable_2="k_volume"/>
   </connection>
   <connection>
      <map_components component_1="cdk1_n" component_2="cdk1cln3_n"/>
      <map_variables variable_1="cdk1cln3_n" variable_2="cdk1cln3_n"/>
      <map_variables variable_1="cdk1_n" variable_2="cdk1_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln2_c" component_2="rate_constants"/>
      <map_variables variable_1="k_26" variable_2="k_26"/>
      <map_variables variable_1="k_27" variable_2="k_27"/>
      <map_variables variable_1="k_46" variable_2="k_46"/>
      <map_variables variable_1="k_53" variable_2="k_53"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln2_c" component_2="cdk1cln2_n"/>
      <map_variables variable_1="cdk1cln2_n" variable_2="cdk1cln2_n"/>
      <map_variables variable_1="cdk1cln2_c" variable_2="cdk1cln2_c"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln2_c" component_2="k_volume"/>
      <map_variables variable_1="k_volume" variable_2="k_volume"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln2_c" component_2="dv_c_dt"/>
      <map_variables variable_1="dv_c_dt" variable_2="dv_c_dt"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln2_c" component_2="v_c"/>
      <map_variables variable_1="v_c" variable_2="v_c"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5_c" component_2="rate_constants"/>
      <map_variables variable_1="k_28" variable_2="k_28"/>
      <map_variables variable_1="k_29" variable_2="k_29"/>
      <map_variables variable_1="k_33" variable_2="k_33"/>
      <map_variables variable_1="k_32" variable_2="k_32"/>
      <map_variables variable_1="k_48" variable_2="k_48"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5_c" component_2="cdk1cln2_n"/>
      <map_variables variable_1="cdk1cln2_n" variable_2="cdk1cln2_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5_c" component_2="cdk1clb5sic1_c"/>
      <map_variables variable_1="cdk1clb5sic1_c" variable_2="cdk1clb5sic1_c"/>
      <map_variables variable_1="cdk1clb5_c" variable_2="cdk1clb5_c"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5_c" component_2="sic1_c"/>
      <map_variables variable_1="sic1_c" variable_2="sic1_c"/>
      <map_variables variable_1="cdk1clb5_c" variable_2="cdk1clb5_c"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5_c" component_2="dv_c_dt"/>
      <map_variables variable_1="dv_c_dt" variable_2="dv_c_dt"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5_c" component_2="v_c"/>
      <map_variables variable_1="v_c" variable_2="v_c"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln2_n" component_2="rate_constants"/>
      <map_variables variable_1="k_46" variable_2="k_46"/>
      <map_variables variable_1="k_53" variable_2="k_53"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln2_n" component_2="k_volume"/>
      <map_variables variable_1="k_volume" variable_2="k_volume"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5_n" component_2="rate_constants"/>
      <map_variables variable_1="k_41" variable_2="k_41"/>
      <map_variables variable_1="k_48" variable_2="k_48"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5_n" component_2="cdk1clb5sic1p_n"/>
      <map_variables variable_1="cdk1clb5sic1p_n" variable_2="cdk1clb5sic1p_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5_n" component_2="cdk1clb5_c"/>
      <map_variables variable_1="cdk1clb5_c" variable_2="cdk1clb5_c"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5_n" component_2="k_volume"/>
      <map_variables variable_1="k_volume" variable_2="k_volume"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln3_n" component_2="rate_constants"/>
      <map_variables variable_1="k_24" variable_2="k_24"/>
      <map_variables variable_1="k_25" variable_2="k_25"/>
      <map_variables variable_1="k_31" variable_2="k_31"/>
      <map_variables variable_1="k_30" variable_2="k_30"/>
      <map_variables variable_1="k_40" variable_2="k_40"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln3_n" component_2="cdk1cln3far1_n"/>
      <map_variables variable_1="cdk1cln3far1_n" variable_2="cdk1cln3far1_n"/>
      <map_variables variable_1="cdk1cln3_n" variable_2="cdk1cln3_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln3_n" component_2="far1_n"/>
      <map_variables variable_1="far1_n" variable_2="far1_n"/>
      <map_variables variable_1="cdk1cln3_n" variable_2="cdk1cln3_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln3_n" component_2="cdk1cln3far1p_n"/>
      <map_variables variable_1="cdk1cln3far1p_n" variable_2="cdk1cln3far1p_n"/>
   </connection>
   <connection>
      <map_components component_1="sbfwhi5_n" component_2="rate_constants"/>
      <map_variables variable_1="k_34" variable_2="k_34"/>
      <map_variables variable_1="k_35" variable_2="k_35"/>
      <map_variables variable_1="k_36" variable_2="k_36"/>
   </connection>
   <connection>
      <map_components component_1="sbfwhi5_n" component_2="whi5_n"/>
      <map_variables variable_1="whi5_n" variable_2="whi5_n"/>
   </connection>
   <connection>
      <map_components component_1="sbfwhi5_n" component_2="cdk1cln3_n"/>
      <map_variables variable_1="cdk1cln3_n" variable_2="cdk1cln3_n"/>
   </connection>
   <connection>
      <map_components component_1="sbfwhi5p_n" component_2="rate_constants"/>
      <map_variables variable_1="k_36" variable_2="k_36"/>
      <map_variables variable_1="k_39" variable_2="k_39"/>
   </connection>
   <connection>
      <map_components component_1="sbfwhi5p_n" component_2="sbfwhi5_n"/>
      <map_variables variable_1="sbfwhi5_n" variable_2="sbfwhi5_n"/>
   </connection>
   <connection>
      <map_components component_1="sbfwhi5p_n" component_2="cdk1cln3_n"/>
      <map_variables variable_1="cdk1cln3_n" variable_2="cdk1cln3_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln3far1_n" component_2="rate_constants"/>
      <map_variables variable_1="k_30" variable_2="k_30"/>
      <map_variables variable_1="k_31" variable_2="k_31"/>
      <map_variables variable_1="k_37" variable_2="k_37"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln3far1_n" component_2="far1_n"/>
      <map_variables variable_1="far1_n" variable_2="far1_n"/>
      <map_variables variable_1="cdk1cln3far1_n" variable_2="cdk1cln3far1_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln3far1_n" component_2="cdk1cln2_n"/>
      <map_variables variable_1="cdk1cln2_n" variable_2="cdk1cln2_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5sic1_n" component_2="rate_constants"/>
      <map_variables variable_1="k_47" variable_2="k_47"/>
      <map_variables variable_1="k_38" variable_2="k_38"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5sic1_n" component_2="cdk1clb5sic1_c"/>
      <map_variables variable_1="cdk1clb5sic1_c" variable_2="cdk1clb5sic1_c"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5sic1_n" component_2="k_volume"/>
      <map_variables variable_1="k_volume" variable_2="k_volume"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5sic1_n" component_2="cdk1cln2_n"/>
      <map_variables variable_1="cdk1cln2_n" variable_2="cdk1cln2_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5sic1p_n" component_2="rate_constants"/>
      <map_variables variable_1="k_41" variable_2="k_41"/>
      <map_variables variable_1="k_38" variable_2="k_38"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5sic1p_n" component_2="cdk1clb5sic1_n"/>
      <map_variables variable_1="cdk1clb5sic1_n" variable_2="cdk1clb5sic1_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5sic1p_n" component_2="cdk1cln2_n"/>
      <map_variables variable_1="cdk1cln2_n" variable_2="cdk1cln2_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln3far1p_n" component_2="rate_constants"/>
      <map_variables variable_1="k_37" variable_2="k_37"/>
      <map_variables variable_1="k_40" variable_2="k_40"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln3far1p_n" component_2="cdk1cln3far1_n"/>
      <map_variables variable_1="cdk1cln3far1_n" variable_2="cdk1cln3far1_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1cln3far1p_n" component_2="cdk1cln2_n"/>
      <map_variables variable_1="cdk1cln2_n" variable_2="cdk1cln2_n"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5sic1_c" component_2="rate_constants"/>
      <map_variables variable_1="k_32" variable_2="k_32"/>
      <map_variables variable_1="k_33" variable_2="k_33"/>
      <map_variables variable_1="k_47" variable_2="k_47"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5sic1_c" component_2="sic1_c"/>
      <map_variables variable_1="sic1_c" variable_2="sic1_c"/>
      <map_variables variable_1="cdk1clb5sic1_c" variable_2="cdk1clb5sic1_c"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5sic1_c" component_2="v_c"/>
      <map_variables variable_1="v_c" variable_2="v_c"/>
   </connection>
   <connection>
      <map_components component_1="cdk1clb5sic1_c" component_2="dv_c_dt"/>
      <map_variables variable_1="dv_c_dt" variable_2="dv_c_dt"/>
   </connection>
   <connection>
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