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<notes>
<title>QS-Hill-Negative Feedback</title>
<body>
<p><h1>QS-Hill-Negative Feedback</h1></p>
<hr/>
<p><h4>Name: </h4></p>
<p><h4>Author: Chris Cox</h4></p>
<p><h4>Location: University of Tennessee ccox9@utk.edu</h4></p>
<p><h4>Quality: </h4></p>
<p><h4>Description: </h4></p>
<hr/>
<p><h3>Species</h3></p>
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<tr><td>Species</td><td>Initial Population</td><td>Output</td><td>Comment</td></tr>
<tr><td>luxD</td><td>1</td><td>false</td><td></td></tr>
<tr><td>luxDcomp</td><td>0</td><td>false</td><td></td></tr>
<tr><td>AI</td><td>0</td><td>true</td><td></td></tr>
<tr><td>LuxR</td><td>0</td><td>true</td><td></td></tr>
<tr><td>LuxI</td><td>0</td><td>true</td><td></td></tr>
<tr><td>RAI</td><td>0</td><td>true</td><td></td></tr>
<tr><td>RAI2</td><td>0</td><td>true</td><td></td></tr>
<tr><td>promI</td><td>1</td><td>false</td><td></td></tr>
<tr><td>promR</td><td>1</td><td>false</td><td></td></tr>
<tr><td>AIsource</td><td>1</td><td>false</td><td></td></tr>
<tr><td>mRNAI</td><td>0</td><td>false</td><td></td></tr>
<tr><td>mRNAR</td><td>0</td><td>false</td><td></td></tr>
<tr><td>DNAloop</td><td>0</td><td>true</td><td></td></tr>
<tr><td>ipromI</td><td>0</td><td>true</td><td></td></tr>
<tr><td>ipromR</td><td>0</td><td>false</td><td></td></tr>
<tr><td>luxbox</td><td>1</td><td>false</td><td></td></tr>
</table>
<p><h3>Basic Reactions</h3></p>
<table border="1" cellpadding="4">
<tr><td>Name</td><td>Reaction</td><td>Rate Constant</td><td>Comment</td></tr>
<tr><td>a</td><td>AI + LuxR -> RAI</td><td>0.1</td><td></td></tr>
<tr><td>b</td><td>RAI -> LuxR + AI</td><td>2</td><td></td></tr>
<tr><td>c</td><td>2 RAI -> RAI2</td><td>.06</td><td></td></tr>
<tr><td>d</td><td>RAI2 -> 2 RAI</td><td>4</td><td></td></tr>
<tr><td>e</td><td>RAI2 + luxD -> luxDcomp</td><td>.01</td><td></td></tr>
<tr><td>f</td><td>luxDcomp -> RAI2 + luxD</td><td>3</td><td></td></tr>
<tr><td>g</td><td>luxDcomp + ipromR -> DNAloop</td><td>6</td><td></td></tr>
<tr><td>h</td><td>DNAloop -> luxDcomp + ipromR</td><td>1</td><td></td></tr>
<tr><td>i</td><td>mRNAR -> LuxR + mRNAR</td><td>0.03</td><td></td></tr>
<tr><td>j</td><td>mRNAI -> LuxI + mRNAI</td><td>0.03</td><td></td></tr>
<tr><td>k</td><td>mRNAR -> *</td><td>0.006</td><td></td></tr>
<tr><td>l</td><td>mRNAI -> *</td><td>0.006</td><td></td></tr>
<tr><td>m</td><td>LuxI -> *</td><td>0.001</td><td></td></tr>
<tr><td>n</td><td>LuxR -> *</td><td>0.006</td><td></td></tr>
<tr><td>o</td><td>LuxI -> LuxI + AI</td><td>0.017</td><td></td></tr>
<tr><td>p</td><td>AI -> *</td><td>7.1</td><td></td></tr>
<tr><td>q</td><td>AIsource -> AI + AIsource</td><td>500</td><td></td></tr>
<tr><td>r</td><td>luxbox + RAI2 + promI + promR -> ipromI + ipromR</td><td>0.1</td><td></td></tr>
<tr><td>s</td><td>ipromI + ipromR -> luxbox + RAI2 + promI + promR</td><td>5</td><td></td></tr>
<tr><td>v</td><td>promR -> promR + mRNAR</td><td>0.01</td><td></td></tr>
<tr><td>w</td><td>promI -> promI + mRNAI</td><td>0.000015</td><td></td></tr>
<tr><td>x</td><td>ipromR -> ipromR + mRNAR</td><td>0.06</td><td></td></tr>
<tr><td>y</td><td>ipromI -> ipromI + mRNAI</td><td>0.1</td><td></td></tr>
</table>
<p><h3>Hill Reactions</h3></p>
<table border="1" cellpadding="4">
<tr><td>Name</td><td>Reaction</td><td>K</td><td>Vmax</td><td>N</td><td>Species</td><td>Comment</td></tr>
</table>
</body>
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    <math:cn>1</math:cn>
  </math:apply>
  <math:cn>k</math:cn>
</math:apply>
</sbml:math>
<sbml:listOfParameters>
  <sbml:parameter id="k" value="5"/>
</sbml:listOfParameters>
</sbml:kineticLaw>
</sbml:reaction>

<sbml:reaction id="v" reversible="false" comment="">
<sbml:listOfReactants>
<speciesReference species="promR" stoichiometry="1"/>
</sbml:listOfReactants>
<sbml:listOfProducts>
<speciesReference species="promR" stoichiometry="1"/>
<speciesReference species="mRNAR" stoichiometry="1"/>
</sbml:listOfProducts>
<sbml:kineticLaw>
<sbml:math xmlns="http://www.w3.org/1998/Math/MathML">
<math:apply>
  <math:times/>
  <math:apply>
    <math:power/>
    <math:ci>promR</math:ci>
    <math:cn>1</math:cn>
  </math:apply>
  <math:cn>k</math:cn>
</math:apply>
</sbml:math>
<sbml:listOfParameters>
  <sbml:parameter id="k" value="0.01"/>
</sbml:listOfParameters>
</sbml:kineticLaw>
</sbml:reaction>

<sbml:reaction id="w" reversible="false" comment="">
<sbml:listOfReactants>
<speciesReference species="promI" stoichiometry="1"/>
</sbml:listOfReactants>
<sbml:listOfProducts>
<speciesReference species="promI" stoichiometry="1"/>
<speciesReference species="mRNAI" stoichiometry="1"/>
</sbml:listOfProducts>
<sbml:kineticLaw>
<sbml:math xmlns="http://www.w3.org/1998/Math/MathML">
<math:apply>
  <math:times/>
  <math:apply>
    <math:power/>
    <math:ci>promI</math:ci>
    <math:cn>1</math:cn>
  </math:apply>
  <math:cn>k</math:cn>
</math:apply>
</sbml:math>
<sbml:listOfParameters>
  <sbml:parameter id="k" value="0.000015"/>
</sbml:listOfParameters>
</sbml:kineticLaw>
</sbml:reaction>

<sbml:reaction id="x" reversible="false" comment="">
<sbml:listOfReactants>
<speciesReference species="ipromR" stoichiometry="1"/>
</sbml:listOfReactants>
<sbml:listOfProducts>
<speciesReference species="ipromR" stoichiometry="1"/>
<speciesReference species="mRNAR" stoichiometry="1"/>
</sbml:listOfProducts>
<sbml:kineticLaw>
<sbml:math xmlns="http://www.w3.org/1998/Math/MathML">
<math:apply>
  <math:times/>
  <math:apply>
    <math:power/>
    <math:ci>ipromR</math:ci>
    <math:cn>1</math:cn>
  </math:apply>
  <math:cn>k</math:cn>
</math:apply>
</sbml:math>
<sbml:listOfParameters>
  <sbml:parameter id="k" value="0.06"/>
</sbml:listOfParameters>
</sbml:kineticLaw>
</sbml:reaction>

<sbml:reaction id="y" reversible="false" comment="">
<sbml:listOfReactants>
<speciesReference species="ipromI" stoichiometry="1"/>
</sbml:listOfReactants>
<sbml:listOfProducts>
<speciesReference species="ipromI" stoichiometry="1"/>
<speciesReference species="mRNAI" stoichiometry="1"/>
</sbml:listOfProducts>
<sbml:kineticLaw>
<sbml:math xmlns="http://www.w3.org/1998/Math/MathML">
<math:apply>
  <math:times/>
  <math:apply>
    <math:power/>
    <math:ci>ipromI</math:ci>
    <math:cn>1</math:cn>
  </math:apply>
  <math:cn>k</math:cn>
</math:apply>
</sbml:math>
<sbml:listOfParameters>
  <sbml:parameter id="k" value="0.1"/>
</sbml:listOfParameters>
</sbml:kineticLaw>
</sbml:reaction>

</sbml:listOfReactions>
</sbml:model>
</sbml:sbml>
