Difference between revisions of "Team:NYU Abu Dhabi/Model"

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<br><br>
 
<br><br>
 +
<p>The following species were used</p>
 +
    <table id="species-table" class="table table-hover">
 +
        <thead>
 +
            <tr>
 +
                <th>Species Name</th>
 +
                <th>Symbol Used</th>
 +
            </tr>
 +
        </thead>
 +
        <tbody>
 +
            <tr>
 +
                <td>Recombinase</td>
 +
                <td>R</td>
 +
            </tr>
 +
            <tr>
 +
                <td>Primer</td>
 +
                <td>Pr</td>
 +
            </tr>
 +
            <tr>
 +
                <td>DNA</td>
 +
                <td>D</td>
 +
            </tr>
 +
            <tr>
 +
                <td>DNA Polymerase</td>
 +
                <td>P</td>
 +
            </tr>
 +
            <tr>
 +
                <td>Single Strand Binding Protein (SSB)</td>
 +
                <td>S</td>
 +
            </tr>
 +
            <tr>
 +
                <td>A specific binding of recombinase to a primer to form a closed complex</td>
 +
                <td>R:Pr</td>
 +
            </tr>
 +
            <tr>
 +
                <td>A specific binding of recombinase and primer to the DNA to form a closed complex</td>
 +
                <td>R:Pr:D</td>
 +
            </tr>
 +
            <tr>
 +
                <td>A specific binding of recombinase, primer, SSB protein to the DNA to form a closed complex</td>
 +
                <td>R:Pr:D:S</td>
 +
            </tr>
 +
            <tr>
 +
                <td>A specific binding of recombinase, primer, SSB protein, DNA Polymerase to the DNA to form a closed complex</td>
 +
                <td>R:Pr:D:S:P</td>
 +
            </tr>
 +
            <tr>
 +
                <td>A specific binding of primer, SSB protein, DNA Polymerase to the DNA to form a closed complex</td>
 +
                <td>Pr:D:S:P</td>
 +
            </tr>
 +
 +
 +
            <tr>
 +
                <td>Intermediate TetR dimer that has one specific site cleaved</td>
 +
                <td>\(cTetR:TetR\)</td>
 +
            </tr>
 +
            <tr>
 +
                <td>Intermediate TetR dimer that has one TetR cleaved binded to Cruzipain</td>
 +
                <td>\(cTetR:TetR:Cruzipain\)</td>
 +
            </tr>
 +
            <tr>
 +
                <td>Intermediate TetR dimer that has both specific sites cleaved</td>
 +
                <td>\(cTetR_{2}\)</td>
 +
            </tr>
 +
            <tr>
 +
                <td>Intermediate TetR that has its specific site cleaved</td>
 +
                <td>\(cTetR\)</td>
 +
            </tr>
 +
            <tr>
 +
                <td>TetR dimer binded to Cruzipain</td>
 +
                <td>\(TetR_2:Cruzipain\)</td>
 +
            </tr>
 +
            <tr>
 +
                <td>TetR binded to Cruzipain</td>
 +
                <td>\(TetR:Cruzipain\)</td>
 +
            </tr>
 +
        </tbody>
 +
    </table>
 +
  
  

Revision as of 20:31, 17 October 2018

Mathematical Modeling


The following species were used

Species Name Symbol Used
Recombinase R
Primer Pr
DNA D
DNA Polymerase P
Single Strand Binding Protein (SSB) S
A specific binding of recombinase to a primer to form a closed complex R:Pr
A specific binding of recombinase and primer to the DNA to form a closed complex R:Pr:D
A specific binding of recombinase, primer, SSB protein to the DNA to form a closed complex R:Pr:D:S
A specific binding of recombinase, primer, SSB protein, DNA Polymerase to the DNA to form a closed complex R:Pr:D:S:P
A specific binding of primer, SSB protein, DNA Polymerase to the DNA to form a closed complex Pr:D:S:P
Intermediate TetR dimer that has one specific site cleaved \(cTetR:TetR\)
Intermediate TetR dimer that has one TetR cleaved binded to Cruzipain \(cTetR:TetR:Cruzipain\)
Intermediate TetR dimer that has both specific sites cleaved \(cTetR_{2}\)
Intermediate TetR that has its specific site cleaved \(cTetR\)
TetR dimer binded to Cruzipain \(TetR_2:Cruzipain\)
TetR binded to Cruzipain \(TetR:Cruzipain\)
$$ 1. R + Pr \leftrightharpoons R:Pr $$ $$ 2. R:Pr + D \leftrightharpoons R:Pr:D $$ $$ 3. R:Pr:D + S \leftrightharpoons R:Pr:D:S $$ $$ 4. R:Pr:D:S + P \leftrightharpoons R:Pr:D:S:P $$ $$ 5. R:Pr:D:S:P \leftrightharpoons R + Pr:D:S:P $$ $$ 6. Pr:D:S:P \to 2D + S + P + Pr + D $$ $$ /frac{d[R]}{dt} = -R/cdot Pr/cdot k_1f + K_1r /cdot R:Pr + k_5f /cdot R:Pr:D:S:P - k_5r /cdot R/cdot Pr:D:S:P $$
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