Team:Grenoble/Projet/Results/Sensitivity

From 2011.igem.org

(Difference between revisions)
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<div  class="blocbackground" id="Robustness">
<div  class="blocbackground" id="Robustness">
    <h2>Robustness of our system</h2>
    <h2>Robustness of our system</h2>
-
    <p>In order to know if an error on the parameters would induce a completely different behaviour of our system,
+
<p>
-
    we studied the sensitivity of our system to a change on the parameters.
+
      In order to know if an error on the parameters would induce a completely different behaviour of our system,
 +
      we studied the sensitivity of our system to changes in the parameter values.
    </p>
    </p>
    <p>
    <p>
-
    This study was performed by increasing or decreasing our parameters values by a range of percentages (from -66% to +300% for each parameter).
+
      This study was performed by increasing or decreasing our parameters values by a range of percentages (from -66% to +300% for each parameter).
-
    Then we studied the change on the output of our system, the ratio of IPTG over aTc that induces the coloration.
+
      Then we studied the change on the output of our system, the ratio of IPTG over aTc that induces the coloration.
    </p>
    </p>
-
    On the following figure one can see the influence on the output of our system (the ratio of IPTG over aTc on the interface)
+
    <p>
-
    for several different aTc concentrations. For these concentrations the switch is still efficient, even though the resulting
+
      On the following figure one can see the influence on the output of our system (the ratio of IPTG over aTc on the interface)
-
    variation on the output will induce an error on our measure.
+
      for several aTc concentrations. For these concentrations the switch is still efficient, even though the resulting
 +
      variation on the output will induce an error on our measure.
    </p>
    </p>
    <table class="nobordure">
    <table class="nobordure">
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<center>
<center>
<a href= "https://static.igem.org/mediawiki/2011/4/41/Parameters_sensitivity1.png"><img src="https://static.igem.org/mediawiki/2011/4/41/Parameters_sensitivity1.png" style="width: 600px;" class="centerwide"/></a>
<a href= "https://static.igem.org/mediawiki/2011/4/41/Parameters_sensitivity1.png"><img src="https://static.igem.org/mediawiki/2011/4/41/Parameters_sensitivity1.png" style="width: 600px;" class="centerwide"/></a>
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<div class="legend"><strong>Figure 1: </strong>Parameters sensitivity for 2.8e-07 M of aTc</div>
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    <div class="legend"><strong>Figure 1: </strong>Parameters sensitivity for 2.8e-07 M of aTc</div>
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</center>
</center>
</td>
</td>
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</tr>
</tr>
    </table>
    </table>
-
    <a href="https://static.igem.org/mediawiki/2011/5/5b/Parameters_sensitivity2.png"><img src="https://static.igem.org/mediawiki/2011/5/5b/Parameters_sensitivity2.png" class ="centerwide"/></a>
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    <table class="nobordure">
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    <div class="legend"><strong>Figure 2: </strong>Parameters sensitivity for 6.3e-06 M of aTc</div>
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    <tr>
-
    <br/>
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      <td>
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    <p><strong>Note :</strong>On the above figures the parameters are from 1 to 11 :<br/>
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<a href="https://static.igem.org/mediawiki/2011/5/5b/Parameters_sensitivity2.png"><img src="https://static.igem.org/mediawiki/2011/5/5b/Parameters_sensitivity2.png" class ="centerwide" style="width: 600px;"/></a>
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    k<SUB>plac</SUB>- V<SUB>cell</SUB> (volume of cell) - k<SUB>pTet <br/>
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<div class="legend"><strong>Figure 2: </strong>Parameters sensitivity for 6.3e-06 M of aTc</div>
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    K<SUB>pLac - LacI</SUB> - K<SUB>pTet - TerR</SUB> K<SUB>LacI - IPTG</SUB> <br/>
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      </td>
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    K<SUB>TetR - aTc</SUB> - n<SUB>plac</SUB> -n<SUB>pTet</SUB><br/>
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      <td>
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    δ<SUB>TetR</SUB>δ<SUB>LacI</SUB></p>
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<p>Variations from 1 to 13 : </p>
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    <p>Variations from 1 to 13 : -66% -50% -20% -10% -5% 0% +5% +10% +20% 50% 100% 200% 300%</p>
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<table>
 +
    <tr>
 +
      <td><strong>1</strong></td>
 +
      <td>-66%</td>
 +
    </tr>
 +
 
 +
    <tr>
 +
      <td><strong>2</strong></td>
 +
      <td>-50%</td>
 +
    </tr>
 +
 
 +
    <tr>
 +
      <td><strong>3</strong></td>
 +
      <td>-20%</td>
 +
    </tr>
 +
 
 +
    <tr>
 +
      <td><strong>4</strong></td>
 +
      <td>-10%</td>
 +
    </tr>
 +
 
 +
    <tr>
 +
      <td><strong>5</strong></td>
 +
      <td>-5%</td>
 +
    </tr>
 +
 
 +
    <tr>
 +
      <td><strong>6</strong></td>
 +
      <td>+0%</td>
 +
    </tr>
 +
 
 +
    <tr>
 +
      <td><strong>7</strong></td>
 +
      <td>+5%</td>
 +
    </tr>
 +
 
 +
    <tr>
 +
      <td><strong>8</strong></td>
 +
      <td>+10%</td>
 +
    </tr>
 +
 
 +
    <tr>
 +
      <td><strong>9</strong></td>
 +
      <td>+20%</td>
 +
    </tr>
 +
 
 +
    <tr>
 +
      <td><strong>10</strong></td>
 +
      <td>+50%</td>
 +
    </tr>
 +
 
 +
    <tr>
 +
      <td><strong>11</strong></td>
 +
      <td>+100%</td>
 +
    </tr>
 +
 
 +
    <tr>
 +
      <td><strong>12</strong></td>
 +
      <td>+200%</td>
 +
    </tr>
 +
 
 +
    <tr>
 +
      <td><strong>13</strong></td>
 +
      <td>+300%</td>
 +
    </tr>
 +
</table>
 +
    </td>
 +
    </tr>
 +
    </table>
     
     
-
    <p>For low values of aTc concentration the error is too minor to perturb the mechanism of our system. If the error is  
+
    <p>For low values of aTc concentration the error is too minor to perturb the mechanism of our system. However,
-
    superior to -50% or +100% for parameters such as K<SUB>pLac - LacI</SUB> or K<SUB>pTet - TetR</SUB> however, it will
+
    it becomes impossible to predict the system output if the error is superior to -50% or +100% for parameters such  
-
    be impossible to predict the output. In such a case a characterization of the responsible parameter would be necessary.
+
    as K<SUB>pLac - LacI</SUB> or K<SUB>pTet - TetR</SUB>. In such a case a characterization of the responsible  
 +
    parameter would be necessary.
    </p>
    </p>
-
    <p>For higher values of aTc concentration however, the value of IPTG necessary for a switch is very high and errors on the
+
    <p>
-
    parameters can cause the system not to switch for the chosen IPTG gradient. In this case, the IPTG maximal necessary value
+
    For higher aTc concentrations however, the level of IPTG at which the switch occurs is very high. Errors on the parameters
-
    for quantification would be too high for a living cell. The only problem being a decrease of the maximum value we can quantify.
+
    prevents the system to switch for the chosen IPTG gradient. In this case, the IPTG maximal necessary valuefor quantification
 +
    would be too high for a living cell. The only problem being a decrease of the maximum value we can quantify.
    </p>
    </p>
-
    <a href="https://static.igem.org/mediawiki/2011/0/01/Parameters_sensitivity3.png"><img src="https://static.igem.org/mediawiki/2011/0/01/Parameters_sensitivity3.png" class="centerwide"/></a>
+
    <center>
 +
    <a href="https://static.igem.org/mediawiki/2011/0/01/Parameters_sensitivity3.png"><img src="https://static.igem.org/mediawiki/2011/0/01/Parameters_sensitivity3.png" class="centerwide" style="width: 850px;"/></a>
    <div class="legend"><strong>Figure 2: </strong>Parameters sensitivity for 6.2e-04 M of aTc</div>
    <div class="legend"><strong>Figure 2: </strong>Parameters sensitivity for 6.2e-04 M of aTc</div>
 +
    </center>
     
     
   
   
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</div>
</div>
</html>
</html>
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{{:Team:Grenoble/Design/pied}}
 

Revision as of 19:41, 28 October 2011

Grenoble 2011, Mercuro-Coli iGEM



Sensitivity to parameters study

Robustness of our system

In order to know if an error on the parameters would induce a completely different behaviour of our system, we studied the sensitivity of our system to changes in the parameter values.

This study was performed by increasing or decreasing our parameters values by a range of percentages (from -66% to +300% for each parameter). Then we studied the change on the output of our system, the ratio of IPTG over aTc that induces the coloration.

On the following figure one can see the influence on the output of our system (the ratio of IPTG over aTc on the interface) for several aTc concentrations. For these concentrations the switch is still efficient, even though the resulting variation on the output will induce an error on our measure.

Figure 1: Parameters sensitivity for 2.8e-07 M of aTc

Note: On the next two figures the parameters are the following

1 kplac
2 Vcell
3 kpTet
4 KpLac - LacI
5 KpTet - TerR
6 KLacI - IPTG
7 KTetR - aTc
8 nplac
9 npTet
10 δTetR
11 δLacI
Figure 2: Parameters sensitivity for 6.3e-06 M of aTc

Variations from 1 to 13 :

1 -66%
2 -50%
3 -20%
4 -10%
5 -5%
6 +0%
7 +5%
8 +10%
9 +20%
10 +50%
11 +100%
12 +200%
13 +300%

For low values of aTc concentration the error is too minor to perturb the mechanism of our system. However, it becomes impossible to predict the system output if the error is superior to -50% or +100% for parameters such as KpLac - LacI or KpTet - TetR. In such a case a characterization of the responsible parameter would be necessary.

For higher aTc concentrations however, the level of IPTG at which the switch occurs is very high. Errors on the parameters prevents the system to switch for the chosen IPTG gradient. In this case, the IPTG maximal necessary valuefor quantification would be too high for a living cell. The only problem being a decrease of the maximum value we can quantify.

Figure 2: Parameters sensitivity for 6.2e-04 M of aTc

Applicable to mercury

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