Team:Grenoble/Projet/Results/Sensitivity
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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, | |
+ | 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). | |
- | + | 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> |
- | + | 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. | ||
</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> | ||
- | + | <div class="legend"><strong>Figure 1: </strong>Parameters sensitivity for 2.8e-07 M of aTc</div> | |
- | + | ||
</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> | + | <table class="nobordure"> |
- | + | <tr> | |
- | + | <td> | |
- | + | <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> | |
- | + | <div class="legend"><strong>Figure 2: </strong>Parameters sensitivity for 6.3e-06 M of aTc</div> | |
- | + | </td> | |
- | + | <td> | |
- | + | <p>Variations from 1 to 13 : </p> | |
- | + | <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. | + | <p>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 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 | + | <p> |
- | + | 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. | ||
</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> | ||
- |
Revision as of 19:41, 28 October 2011
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 2: Parameters sensitivity for 6.3e-06 M of aTc
|
Variations from 1 to 13 :
|
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.
![](https://static.igem.org/mediawiki/2011/0/01/Parameters_sensitivity3.png)