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  <articleinfo>
  <title>Mitochondrial energetic metabolism: a simplified model of TCA cycle with ATP production</title>
  <author>
    <firstname>Catherine</firstname>
          <surname>Lloyd</surname>
    <affiliation>
      <shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
    </affiliation>
  </author>
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  <section id="sec_status">
    <title>Model Status</title>
    <para>
            This CellML runs in both OpenCell and COR. It is the scaled version of the model, taken from equations 29-39 in the original paper. Unfortunately the CellMl model does not recreate the published results and it requires further curation.
          </para>
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  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
ABSTRACT: Mitochondria play a central role in cellular energetic metabolism. The essential parts of this metabolism are the tricarboxylic acid (TCA) cycle, the respiratory chain and the adenosine triphosphate (ATP) synthesis machinery. Here a simplified model of these three metabolic components with a limited set of differential equations is presented. The existence of a steady state is demonstrated and results of numerical simulations are presented. The relevance of a simple model to represent actual in vivo behavior is discussed.
</para>

<para>
The original paper reference is cited below:
</para>

<para>
Mitochondrial energetic metabolism: a simplified model of TCA cycle with ATP production, Nazaret C, Heiske M, Thurley K, and Mazat JP, 2009, <emphasis>Journal of Theoretical Biology</emphasis>, 258, 455-464.  <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/19007794">PubMed ID: 19007794</ulink>
</para>

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<caption>Schematic diagram of the model.</caption>
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</sect1>
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  </component>
  
  <component name="vresp">
    <variable cmeta:id="vresp_vresp" name="vresp" public_interface="out" units="dimensionless"/>
    
    <variable name="beta_resp" public_interface="in" units="dimensionless"/>
	<variable name="delta_r1" public_interface="in" units="dimensionless"/>
	<variable name="delta_r2" public_interface="in" units="dimensionless"/>
    <variable name="s" public_interface="in" units="dimensionless"/>
	<variable name="n" public_interface="in" units="dimensionless"/>
	
    <math xmlns="http://www.w3.org/1998/Math/MathML" id="19">
      <apply id="vresp_calculation"><eq/>
        <ci> vresp </ci>
        <apply>
		  <times/>
          <ci> beta_resp </ci>
		  <apply>
		    <divide/>
			<apply>
		      <minus/>
			  <cn cellml:units="dimensionless"> 1 </cn>
			  <ci> n </ci>
		    </apply>
			<apply>
		      <minus/>
			  <apply>
		        <plus/>
				<ci> delta_r1 </ci>
			    <cn cellml:units="dimensionless"> 1 </cn>
		      </apply>
			  <ci> n </ci>
		    </apply>
		  </apply>
		  <apply>
		    <divide/>
			<cn cellml:units="dimensionless"> 1 </cn>
			<apply>
		      <plus/>
			  <cn cellml:units="dimensionless"> 1 </cn>
			  <apply>
		        <exp/>
		        <apply>
		          <times/>
			      <ci> delta_r2 </ci>
				  <apply>
		            <minus/>
				    <ci> s </ci>
			        <cn cellml:units="dimensionless"> 1 </cn>
				  </apply>
		        </apply>
			  </apply>
			</apply>
		  </apply>
		</apply>
      </apply>
    </math>
  </component>
  
  <component name="vATP">
    <variable cmeta:id="vATP_vATP" name="vATP" public_interface="out" units="dimensionless"/>
    
    <variable name="beta_ATP" public_interface="in" units="dimensionless"/>
	<variable name="delta_atp" public_interface="in" units="dimensionless"/>
	<variable name="en" public_interface="in" units="dimensionless"/>
	<variable name="en_crit" public_interface="in" units="dimensionless"/>
	<variable name="s" public_interface="in" units="dimensionless"/>
   
    <math xmlns="http://www.w3.org/1998/Math/MathML" id="20">
      <apply id="vATP_calculation"><eq/>
        <ci> vATP </ci>
        <apply>
		  <times/>
          <ci> beta_ATP </ci>
		  <apply>
		    <minus/>
			<apply>
		      <divide/>
			  <cn cellml:units="dimensionless"> 2 </cn>
			  <apply>
		        <plus/>
			    <cn cellml:units="dimensionless"> 1 </cn>
			    <apply>
		          <exp/>
		          <apply>
		            <times/>
			        <ci> delta_atp </ci>
				    <apply>
		              <minus/>
				      <ci> en </ci>
			          <apply>
		                <times/>
						<ci> en_crit </ci>
						<ci> s </ci>
					  </apply>
					</apply>
				  </apply>
				</apply>
			  </apply>
			</apply>
			<cn cellml:units="dimensionless"> 1 </cn>
		  </apply>
		</apply>
      </apply>
    </math>
  </component>
  
  <component name="en_crit">
    <variable cmeta:id="en_crit_en_crit" name="en_crit" public_interface="out" units="dimensionless"/>
    
	<variable name="Kapp_dash" public_interface="in" units="dimensionless"/>
	<variable name="delta_crit" public_interface="in" units="dimensionless"/>
    <variable name="s" public_interface="in" units="dimensionless"/>
	
    <math xmlns="http://www.w3.org/1998/Math/MathML" id="21">
      <apply id="en_crit_calculation"><eq/>
        <ci> en_crit </ci>
        <apply>
		  <divide/>
          <ci> Kapp_dash </ci>
		  <apply>
		    <plus/>
			<ci> Kapp_dash </ci>
			<apply>
		      <exp/>
			  <apply>
		        <times/>
			    <cn cellml:units="dimensionless"> -1 </cn>
			    <ci> delta_crit </ci>
				<ci> s </ci>
		      </apply>
			</apply>
		  </apply>
		</apply>
      </apply>
    </math>
  </component>
  
  <component name="normalised_constants">
    <variable name="beta2" public_interface="out" units="dimensionless"/>
	<variable name="beta3" public_interface="out" units="dimensionless"/>
	<variable name="beta4" public_interface="out" units="dimensionless"/>
	<variable name="beta5" public_interface="out" units="dimensionless"/>
	<variable name="beta6" public_interface="out" units="dimensionless"/>
	<variable name="beta7" public_interface="out" units="dimensionless"/>
	<variable name="beta8" public_interface="out" units="dimensionless"/>
	<variable name="epsilon1" public_interface="out" units="dimensionless"/>
	<variable name="epsilon2" public_interface="out" units="dimensionless"/>
	<variable name="epsilon3" public_interface="out" units="dimensionless"/>
	<variable name="epsilon4" public_interface="out" units="dimensionless"/>
	<variable name="epsilon5" public_interface="out" units="dimensionless"/>
	<variable name="epsilon6" public_interface="out" units="dimensionless"/>
	<variable name="epsilon7" public_interface="out" units="dimensionless"/>
	<variable name="beta_ANT" public_interface="out" units="dimensionless"/>
	<variable name="beta_leak" public_interface="out" units="dimensionless"/>
	<variable name="beta_resp" public_interface="out" units="dimensionless"/>
	<variable name="beta_ATP" public_interface="out" units="dimensionless"/>
	<variable name="delta_6" public_interface="out" units="dimensionless"/>
	<variable name="delta_r1" public_interface="out" units="dimensionless"/>
	<variable name="delta_r2" public_interface="out" units="dimensionless"/>
	<variable name="delta_atp" public_interface="out" units="dimensionless"/>
	<variable name="delta_crit" public_interface="out" units="dimensionless"/>
	<variable name="Kapp_dash" public_interface="out" units="dimensionless"/>
	<variable name="tau" public_interface="out" units="dimensionless"/>
    
    <variable name="At" initial_value="4.160" units="millimolar"/>
	<variable name="Nt" initial_value="1.070" units="millimolar"/>
    <variable initial_value="0.161" name="Pyr_bar" units="dimensionless"/>
	<variable initial_value="0.460" name="Cit_bar" units="dimensionless"/>
	<variable initial_value="0.105" name="AcCoA_bar" units="dimensionless"/>
	<variable initial_value="0.146" name="KG_bar" units="dimensionless"/>
	<variable initial_value="0.004" name="OAA_bar" units="dimensionless"/>
	<variable initial_value="38" name="k1" units="micromolar_per_second"/>
	<variable initial_value="152" name="k2" units="second_order_rate_constant"/>
	<variable initial_value="57142" name="k3" units="second_order_rate_constant"/>
	<variable initial_value="53" name="k4" units="second_order_rate_constant"/>
	<variable initial_value="40" name="k5" units="third_order_rate_constant"/>
	<variable initial_value="82361" name="k6" units="first_order_rate_constant"/>
	<variable initial_value="3.2e-3" name="k7" units="second_order_rate_constant"/>
	<variable initial_value="3.6" name="k8" units="first_order_rate_constant"/>
	<variable initial_value="2.5" name="kresp" units="millimolar_per_second"/>
	<variable initial_value="131.9" name="kATP" units="millimolar_per_second"/>
	<variable initial_value="0.1" name="kANT" units="dimensionless"/>
	<variable initial_value="0.426" name="kleak" units="molar_per_millivolt_per_second"/>
	<variable initial_value="0.3975" name="Keq" units="dimensionless"/>
	<variable initial_value="2" name="K" units="millimolar"/>
	<variable initial_value="0.100" name="alpha" units="per_millivolt"/>
	<variable initial_value="0.004" name="b" units="per_millimolar"/>
	<variable initial_value="150.0" name="delta_psi_m" units="millivolt"/>
	<variable initial_value="8.314" name="R" units="joule_per_mole_kelvin"/>
	<variable initial_value="298" name="T" units="kelvin"/>
	<variable initial_value="96485" name="F" units="coulomb_per_mole"/>
	<variable initial_value="6.75e-06" name="C" units="millimolar_per_millivolt"/>
	<variable initial_value="4.4e-6" name="Kapp" units="per_millimolar"/>
	<variable initial_value="2.440" name="Pi" units="millimolar"/>
	
    <variable name="p" public_interface="in" units="dimensionless"/>
	<variable name="a" public_interface="in" units="dimensionless"/>
	<variable name="c" public_interface="in" units="dimensionless"/>
	<variable name="k" public_interface="in" units="dimensionless"/>
	<variable name="o" public_interface="in" units="dimensionless"/>
	<variable name="n" public_interface="in" units="dimensionless"/>
	<variable name="en" public_interface="in" units="dimensionless"/>
	<variable name="s" public_interface="in" units="dimensionless"/>
	<variable name="time" public_interface="in" units="second"/>
	
    <math xmlns="http://www.w3.org/1998/Math/MathML" id="22">
      <apply><eq/>
        <ci> beta2 </ci>
        <apply>
		  <times/>
		  <apply>
		    <divide/>
            <ci> k2 </ci>
		    <ci> k1 </ci>
	      </apply>
		  <ci> Nt </ci>
		  <ci> Pyr_bar </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="23">
      <apply><eq/>
        <ci> beta3 </ci>
        <apply>
		  <times/>
		  <apply>
		    <divide/>
            <ci> k3 </ci>
		    <ci> k1 </ci>
	      </apply>
		  <ci> OAA_bar </ci>
		  <ci> AcCoA_bar </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="24">
      <apply><eq/>
        <ci> beta4 </ci>
        <apply>
		  <times/>
		  <apply>
		    <divide/>
            <ci> k4 </ci>
		    <ci> k1 </ci>
	      </apply>
		  <ci> Nt </ci>
		  <ci> Cit_bar </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="25">
      <apply><eq/>
        <ci> beta5 </ci>
        <apply>
		  <times/>
		  <apply>
		    <divide/>
            <ci> k5 </ci>
		    <ci> k1 </ci>
	      </apply>
		  <ci> Nt </ci>
		  <ci> At </ci>
		  <ci> KG_bar </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="26">
      <apply><eq/>
        <ci> beta6 </ci>
        <apply>
		  <times/>
		  <apply>
		    <divide/>
            <ci> k6 </ci>
		    <ci> k1 </ci>
	      </apply>
		  <ci> OAA_bar </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="27">
      <apply><eq/>
        <ci> beta7 </ci>
        <apply>
		  <times/>
		  <apply>
		    <divide/>
            <ci> k7 </ci>
		    <ci> k1 </ci>
	      </apply>
		  <ci> At </ci>
		  <ci> Pyr_bar </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="28">
      <apply><eq/>
        <ci> beta8 </ci>
        <apply>
		  <times/>
		  <apply>
		    <divide/>
            <ci> k8 </ci>
		    <ci> k1 </ci>
	      </apply>
		  <ci> OAA_bar </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="29">
      <apply><eq/>
        <ci> beta_ANT </ci>
        <apply>
		  <times/>
		  <apply>
		    <divide/>
            <ci> kANT </ci>
		    <ci> k1 </ci>
	      </apply>
		  <ci> At </ci>
		</apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="30">
      <apply><eq/>
        <ci> beta_leak </ci>
        <apply>
		  <times/>
		  <apply>
		    <divide/>
            <ci> kleak </ci>
		    <ci> k1 </ci>
	      </apply>
		  <ci> delta_psi_m </ci>
		</apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="31">
      <apply><eq/>
        <ci> beta_resp </ci>
        <apply>
		  <divide/>
          <ci> kresp </ci>
		  <ci> k1 </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="32">
      <apply><eq/>
        <ci> beta_ATP </ci>
        <apply>
		  <divide/>
          <ci> kATP </ci>
		  <ci> k1 </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="33">
      <apply><eq/>
        <ci> delta_6 </ci>
        <apply>
		  <divide/>
          <ci> KG_bar </ci>
		  <apply>
		    <times/>
            <ci> OAA_bar </ci>
			<ci> Keq </ci>
		  </apply>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="34">
      <apply><eq/>
        <ci> delta_r1 </ci>
        <apply>
		  <divide/>
          <ci> K </ci>
		  <ci> Nt </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="35">
      <apply><eq/>
        <ci> delta_r2 </ci>
        <apply>
		  <times/>
          <ci> alpha </ci>
		  <ci> delta_psi_m </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="36">
      <apply><eq/>
        <ci> delta_atp </ci>
        <apply>
		  <times/>
          <ci> b </ci>
		  <ci> At </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="37">
      <apply><eq/>
        <ci> delta_crit </ci>
        <apply>
		  <times/>
		  <cn cellml:units="dimensionless"> 3 </cn>
		  <apply>
		    <divide/>
			<apply>
		      <times/>
		      <cn cellml:units="dimensionless"> 1.2 </cn>
              <ci> F </ci>
			  <ci> delta_psi_m </ci>
			</apply>
			<apply>
		      <times/>
		      <ci> R </ci>
			  <ci> T </ci>
			</apply>
	      </apply>
		</apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="38">
      <apply><eq/>
        <ci> Kapp_dash </ci>
        <apply>
		  <times/>
          <ci> Kapp </ci>
		  <ci> Pi </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="39">
      <apply><eq/>
        <ci> epsilon1 </ci>
        <apply>
		  <divide/>
          <ci> AcCoA_bar </ci>
		  <ci> Pyr_bar </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="40">
      <apply><eq/>
        <ci> epsilon2 </ci>
        <apply>
		  <divide/>
          <ci> Cit_bar </ci>
		  <ci> Pyr_bar </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="41">
      <apply><eq/>
        <ci> epsilon3 </ci>
        <apply>
		  <divide/>
          <ci> KG_bar </ci>
		  <ci> Pyr_bar </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="42">
      <apply><eq/>
        <ci> epsilon4 </ci>
        <apply>
		  <divide/>
          <ci> OAA_bar </ci>
		  <ci> Pyr_bar </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="43">
      <apply><eq/>
        <ci> epsilon5 </ci>
        <apply>
		  <divide/>
          <ci> Nt </ci>
		  <ci> Pyr_bar </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="44">
      <apply><eq/>
        <ci> epsilon6 </ci>
        <apply>
		  <divide/>
          <ci> At </ci>
		  <ci> Pyr_bar </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="45">
      <apply><eq/>
        <ci> epsilon7 </ci>
        <apply>
		  <times/>
          <apply>
		    <divide/>
            <ci> delta_psi_m </ci>
		    <ci> Pyr_bar </ci>
	      </apply>
		  <ci> C </ci>
	    </apply>
      </apply>
    </math>
	
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="46">
      <apply><eq/>
        <ci> tau </ci>
        <apply>
		  <times/>
          <apply>
		    <divide/>
            <ci> k1 </ci>
		    <ci> Pyr_bar </ci>
	      </apply>
		  <ci> time </ci>
	    </apply>
      </apply>
    </math>
  </component>
  
  
  
  
  <connection>
    <map_components component_1="p" component_2="normalised_constants"/>
    <map_variables variable_1="tau" variable_2="tau"/>
	<map_variables variable_1="p" variable_2="p"/>
  </connection>
  
  <connection>
    <map_components component_1="a" component_2="normalised_constants"/>
    <map_variables variable_1="tau" variable_2="tau"/>
	<map_variables variable_1="epsilon1" variable_2="epsilon1"/>
	<map_variables variable_1="a" variable_2="a"/>
  </connection>
  
  <connection>
    <map_components component_1="c" component_2="normalised_constants"/>
    <map_variables variable_1="tau" variable_2="tau"/>
	<map_variables variable_1="epsilon2" variable_2="epsilon2"/>
	<map_variables variable_1="c" variable_2="c"/>
  </connection>
  
  <connection>
    <map_components component_1="k" component_2="normalised_constants"/>
    <map_variables variable_1="tau" variable_2="tau"/>
	<map_variables variable_1="epsilon3" variable_2="epsilon3"/>
	<map_variables variable_1="k" variable_2="k"/>
  </connection>
  
  <connection>
    <map_components component_1="o" component_2="normalised_constants"/>
    <map_variables variable_1="tau" variable_2="tau"/>
	<map_variables variable_1="epsilon4" variable_2="epsilon4"/>
	<map_variables variable_1="o" variable_2="o"/>
  </connection>

  <connection>
    <map_components component_1="n" component_2="normalised_constants"/>
    <map_variables variable_1="tau" variable_2="tau"/>
	<map_variables variable_1="epsilon5" variable_2="epsilon5"/>
    <map_variables variable_1="n" variable_2="n"/>
  </connection>
  
  <connection>
    <map_components component_1="en" component_2="normalised_constants"/>
    <map_variables variable_1="tau" variable_2="tau"/>
	<map_variables variable_1="epsilon6" variable_2="epsilon6"/>
	<map_variables variable_1="en" variable_2="en"/>
  </connection>
  
  <connection>
    <map_components component_1="s" component_2="normalised_constants"/>
    <map_variables variable_1="tau" variable_2="tau"/>
	<map_variables variable_1="epsilon7" variable_2="epsilon7"/>
	<map_variables variable_1="s" variable_2="s"/>
  </connection>
  
  <connection>
    <map_components component_1="normalised_constants" component_2="environment"/>
    <map_variables variable_1="time" variable_2="time"/>
  </connection>
  
  <connection>
    <map_components component_1="p" component_2="v1"/>
    <map_variables variable_1="v1" variable_2="v1"/>
  </connection>
  
  <connection>
    <map_components component_1="p" component_2="v2"/>
    <map_variables variable_1="p" variable_2="p"/>
    <map_variables variable_1="v2" variable_2="v2"/>
  </connection>
  
  <connection>
    <map_components component_1="p" component_2="v7"/>
    <map_variables variable_1="p" variable_2="p"/>
    <map_variables variable_1="v7" variable_2="v7"/>
  </connection>
  
  <connection>
    <map_components component_1="a" component_2="v2"/>
    <map_variables variable_1="v2" variable_2="v2"/>
  </connection>
  
  <connection>
    <map_components component_1="a" component_2="v3"/>
    <map_variables variable_1="a" variable_2="a"/>
    <map_variables variable_1="v3" variable_2="v3"/>
  </connection>
  
  <connection>
    <map_components component_1="c" component_2="v3"/>
    <map_variables variable_1="v3" variable_2="v3"/>
  </connection>
  
  <connection>
    <map_components component_1="c" component_2="v4"/>
    <map_variables variable_1="c" variable_2="c"/>
    <map_variables variable_1="v4" variable_2="v4"/>
  </connection>
  
  <connection>
    <map_components component_1="k" component_2="v4"/>
    <map_variables variable_1="v4" variable_2="v4"/>
  </connection>
  
  <connection>
    <map_components component_1="k" component_2="v5"/>
    <map_variables variable_1="k" variable_2="k"/>
    <map_variables variable_1="v5" variable_2="v5"/>
  </connection>
  
  <connection>
    <map_components component_1="k" component_2="v6"/>
    <map_variables variable_1="k" variable_2="k"/>
    <map_variables variable_1="v6" variable_2="v6"/>
  </connection>
  
  <connection>
    <map_components component_1="o" component_2="v5"/>
    <map_variables variable_1="v5" variable_2="v5"/>
  </connection>
  
  <connection>
    <map_components component_1="o" component_2="v3"/>
    <map_variables variable_1="o" variable_2="o"/>
    <map_variables variable_1="v3" variable_2="v3"/>
  </connection>
  
  <connection>
    <map_components component_1="o" component_2="v6"/>
    <map_variables variable_1="o" variable_2="o"/>
    <map_variables variable_1="v6" variable_2="v6"/>
  </connection>
  
  <connection>
    <map_components component_1="o" component_2="v7"/>
    <map_variables variable_1="v7" variable_2="v7"/>
  </connection>
  
  <connection>
    <map_components component_1="o" component_2="v8"/>
    <map_variables variable_1="o" variable_2="o"/>
    <map_variables variable_1="v8" variable_2="v8"/>
  </connection>
  
  <connection>
    <map_components component_1="n" component_2="v2"/>
    <map_variables variable_1="n" variable_2="n"/>
    <map_variables variable_1="v2" variable_2="v2"/>
  </connection>
  
  <connection>
    <map_components component_1="n" component_2="v4"/>
    <map_variables variable_1="n" variable_2="n"/>
    <map_variables variable_1="v4" variable_2="v4"/>
  </connection>
  
  <connection>
    <map_components component_1="n" component_2="v5"/>
    <map_variables variable_1="n" variable_2="n"/>
	<map_variables variable_1="v5" variable_2="v5"/>
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  <connection>
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    <map_variables variable_1="n" variable_2="n"/>
	<map_variables variable_1="vresp" variable_2="vresp"/>
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  <connection>
    <map_components component_1="en" component_2="vATP"/>
    <map_variables variable_1="en" variable_2="en"/>
    <map_variables variable_1="vATP" variable_2="vATP"/>
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  <connection>
    <map_components component_1="en" component_2="vANT"/>
    <map_variables variable_1="en" variable_2="en"/>
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  <connection>
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    <map_variables variable_1="en" variable_2="en"/>
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  <connection>
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  <connection>
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    <map_variables variable_1="s" variable_2="s"/>
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  <connection>
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	<map_variables variable_1="s" variable_2="s"/>
  </connection>
  
  <connection>
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  <connection>
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  <connection>
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  </connection>
  
  <connection>
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    <map_variables variable_1="s" variable_2="s"/>
  </connection>
  
  <connection>
    <map_components component_1="v2" component_2="normalised_constants"/>
    <map_variables variable_1="beta2" variable_2="beta2"/>
  </connection>
  
  <connection>
    <map_components component_1="v3" component_2="normalised_constants"/>
    <map_variables variable_1="beta3" variable_2="beta3"/>
  </connection>
  
  <connection>
    <map_components component_1="v4" component_2="normalised_constants"/>
    <map_variables variable_1="beta4" variable_2="beta4"/>
  </connection>
  
  <connection>
    <map_components component_1="v5" component_2="normalised_constants"/>
    <map_variables variable_1="beta5" variable_2="beta5"/>
  </connection>
  
  <connection>
    <map_components component_1="v6" component_2="normalised_constants"/>
    <map_variables variable_1="beta6" variable_2="beta6"/>
	<map_variables variable_1="delta_6" variable_2="delta_6"/>
  </connection>
  
  <connection>
    <map_components component_1="v7" component_2="normalised_constants"/>
    <map_variables variable_1="beta7" variable_2="beta7"/>
  </connection>
  
  <connection>
    <map_components component_1="v8" component_2="normalised_constants"/>
    <map_variables variable_1="beta8" variable_2="beta8"/>
  </connection>
  
  <connection>
    <map_components component_1="vANT" component_2="normalised_constants"/>
    <map_variables variable_1="beta_ANT" variable_2="beta_ANT"/>
  </connection>
  
  <connection>
    <map_components component_1="vleak" component_2="normalised_constants"/>
    <map_variables variable_1="beta_leak" variable_2="beta_leak"/>
  </connection>
  
  <connection>
    <map_components component_1="vresp" component_2="normalised_constants"/>
    <map_variables variable_1="beta_resp" variable_2="beta_resp"/>
	<map_variables variable_1="delta_r1" variable_2="delta_r1"/>
	<map_variables variable_1="delta_r2" variable_2="delta_r2"/>
  </connection>
  
  <connection>
    <map_components component_1="vATP" component_2="normalised_constants"/>
    <map_variables variable_1="beta_ATP" variable_2="beta_ATP"/>
	<map_variables variable_1="delta_atp" variable_2="delta_atp"/>
  </connection>
  
  <connection>
    <map_components component_1="en_crit" component_2="normalised_constants"/>
    <map_variables variable_1="Kapp_dash" variable_2="Kapp_dash"/>
	<map_variables variable_1="delta_crit" variable_2="delta_crit"/>
  </connection>
  
  
  
 
  
  
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	<rdf:Description rdf:about="">
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            Mitochondrial energetic metabolism: a simplified model of TCA cycle with ATP production
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