http://2008.igem.org/wiki/index.php?title=Team:KULeuven/Model/Sensitivity&feed=atom&action=historyTeam:KULeuven/Model/Sensitivity - Revision history2024-03-29T15:38:51ZRevision history for this page on the wikiMediaWiki 1.16.5http://2008.igem.org/wiki/index.php?title=Team:KULeuven/Model/Sensitivity&diff=51151&oldid=prevAvdmeers at 14:58, 3 October 20082008-10-03T14:58:13Z<p></p>
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</table>Avdmeershttp://2008.igem.org/wiki/index.php?title=Team:KULeuven/Model/Sensitivity&diff=51056&oldid=prevAvdmeers at 12:14, 3 October 20082008-10-03T12:14:47Z<p></p>
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</table>Avdmeershttp://2008.igem.org/wiki/index.php?title=Team:KULeuven/Model/Sensitivity&diff=49915&oldid=prevHanne at 12:12, 1 October 20082008-10-01T12:12:32Z<p></p>
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<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>=== Episode I: The MATLAB Menace ===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>=== Episode I: The MATLAB Menace ===</div></td></tr>
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<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>Sensitivity analysis for Dr. Coli has been a pain in the ***. Our first attempts at this were done with the Sensitivity Analysis Tool that is included in MATLAB Simbiology. The problem here is that our model calls MATLAB's power fuction. Sensitivity analysis currently uses complex-step differentiation, which is currently not supported <del class="diffchange diffchange-inline">for </del>this function. The computed sensitivities may not even approximate true sensitivities. So the value of this analyisis is doubtful.</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>Sensitivity analysis for Dr. Coli has been a pain in the ***. Our first attempts at this were done with the Sensitivity Analysis Tool that is included in MATLAB Simbiology. The problem here is that our model calls MATLAB's power fuction. Sensitivity analysis currently uses complex-step differentiation, which is currently not supported <ins class="diffchange diffchange-inline">by </ins>this function. The computed sensitivities may not even approximate true sensitivities. So the value of this analyisis is doubtful.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>Nevertheless, below are some results of the calculated sensitivities for species in the system that precede any reaction that calls the power function.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>Nevertheless, below are some results of the calculated sensitivities for species in the system that precede any reaction that calls the power function.</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>A third situation has also been analysed. In the above two cases we constantly give 0 or 1 respectively. Our system however has a third and very important state: 0 - 1 - 0. In this state, the memory is ON and the timer can function. To simulate this, we used the same formula but we also created an event during the simulation.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>A third situation has also been analysed. In the above two cases we constantly give 0 or 1 respectively. Our system however has a third and very important state: 0 - 1 - 0. In this state, the memory is ON and the timer can function. To simulate this, we used the same formula but we also created an event during the simulation.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>These attempts <del class="diffchange diffchange-inline">give </del>us more helpful results. We can even interpret something stability-like for our memory now: how far can our parameterisation be off before the memory stops functioning as expected. The results obtained by using this method for sensitivity analysis can be seen depicted in the figures below.</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>These attempts <ins class="diffchange diffchange-inline">gave </ins>us more helpful results. We can even interpret something stability-like for our memory now: how far can our parameterisation be off before the memory stops functioning as expected. The results obtained by using this method for sensitivity analysis can be seen depicted in the figures below.</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==== Output ====</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>==== Output ====</div></td></tr>
</table>Hannehttp://2008.igem.org/wiki/index.php?title=Team:KULeuven/Model/Sensitivity&diff=45552&oldid=prevNickvd at 09:16, 15 September 20082008-09-15T09:16:42Z<p></p>
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<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">=</del>== Sensitivity Analysis <del class="diffchange diffchange-inline">=</del>==</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>== Sensitivity Analysis ==</div></td></tr>
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<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">Sensitivity analysis lets you calculate the time-dependent sensitivities of all the species states with respect to species initial conditions and parameter values in the model. A sensitivity analysis is needed e.g. when some of the parameter values are not known. </del>The <del class="diffchange diffchange-inline">true value of a parameter is unimportant when the most essential species states are insensitive to the unknown parameter. Only for the sensitive unknown parameters are experiments needed to determine their true values.</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">=== Episode I: </ins>The <ins class="diffchange diffchange-inline">MATLAB Menace ===</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>In our <del class="diffchange diffchange-inline">project </del>we <del class="diffchange diffchange-inline">have </del>been <del class="diffchange diffchange-inline">able </del>to <del class="diffchange diffchange-inline">find hypothetical values </del>for all <del class="diffchange diffchange-inline">used </del>parameters, but a sensitivity <del class="diffchange diffchange-inline">analyses </del>is <del class="diffchange diffchange-inline">nevertheless always valuable </del>to detect <del class="diffchange diffchange-inline">critical </del>parameters. These are the <del class="diffchange diffchange-inline">parameter values on which </del>our <del class="diffchange diffchange-inline">project critically depends </del>and <del class="diffchange diffchange-inline">which should be analyzed/characterized </del>as <del class="diffchange diffchange-inline">exact as possible</del>.</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">Sensitivity analysis for Dr. Coli has been a pain in the ***. Our first attempts at this were done with the Sensitivity Analysis Tool that is included in MATLAB Simbiology. The problem here is that our model calls MATLAB's power fuction. Sensitivity analysis currently uses complex-step differentiation, which is currently not supported for this function. The computed sensitivities may not even approximate true sensitivities. So the value of this analyisis is doubtful.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">Nevertheless, below are some results of the calculated sensitivities for species in the system that precede any reaction that calls the power function.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>In <ins class="diffchange diffchange-inline">these graphs, the 'parameters'-axis shows the parameters that are varied in the sensitivity analysis, while the ones along the states axis are the ones monitored as output. The z-axis is a measure for the sensitivity of the parameter under study.</ins></div></td></tr>
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<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline"><img src="https://static.igem.org/mediawiki/2008/7/7c/SensAmoreOFF.png" style="float: left; width: 500px; height: 400px; margin: 0 5px;" /></ins></div></td></tr>
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<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">=== Episode IV: A New Hope ===</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">We had come to the conclusion that the MATLAB sensitivity analysis just would not cut it for us, so we went on and started digging again. We tried a whole lot of different approaches, but nothing seemed to be appropriate for </ins>our <ins class="diffchange diffchange-inline">system. (These attempts are episode II and III which </ins>we<ins class="diffchange diffchange-inline">'ll just skip here and forget about)</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">Finally, we came up with the following. We define sensitivity in two different states, the ON state of the system and the OFF state The ON state receives maximal input during the entire simulation, while the OFF state only gets background signal.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">We come to the following formulae where X is the output species that we look at and P is the parameter that is changed to 110% or 90% of its own value. The second term is for normalisation purposes.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">[[Image:Eqn1.png|center|250px]]</ins></div></td></tr>
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<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">[[Image:Eqn2.png|center|250px]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">A third situation has also </ins>been <ins class="diffchange diffchange-inline">analysed. In the above two cases we constantly give 0 or 1 respectively. Our system however has a third and very important state: 0 - 1 - 0. In this state, the memory is ON and the timer can function. To simulate this, we used the same formula but we also created an event during the simulation.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">These attempts give us more helpful results. We can even interpret something stability-like for our memory now: how far can our parameterisation be off before the memory stops functioning as expected. The results obtained by using this method for sensitivity analysis can be seen depicted in the figures below.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">==== Output ====</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">More as a control, the first figure depicts the sensitivity of our output GFP. It behaves completely as expected, clearly showing only dependencies for the degradation and synthesis rates of GFP while everything else is equal </ins>to <ins class="diffchange diffchange-inline">zero. Also according to plan, the simulation gives exactly the same results for the two formulae above.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">[[Image:Sens_GFP_ON.png|800px|center]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">==== Memory ====</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">As mentioned before, we can use the sensitivity analysis of the memory to see how big our margins are on the arious parameters that make out our model. The first figure shows the sensitivity of c2 P22 </ins>for all <ins class="diffchange diffchange-inline">system </ins>parameters <ins class="diffchange diffchange-inline">in the OFF state. This means we use the second formula. The analysis shows all expected dependencies such as synthesis and degradation rates for c2 P22. But also for the affinity of cI 434 for the promoter in front of c2 P22</ins>, <ins class="diffchange diffchange-inline">for the production/degradation rates of cI 434 with(out) LVA tag.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">[[Image:Sens_c2P22_OFF.png|800px|center]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">For cI 434 in the OFF state, we see similar </ins>but <ins class="diffchange diffchange-inline">distinct results. We see that all sensitivities appear to be bit higher and that some extra factors have appeared describing repression by and degradation of c2 P22 repressor. Once again logical results.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">[[Image:Sens_cI434_OFF.png|800px|center]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">The next figure shows the sensitivities for c2 P22 in the ON state of the memory (where it plays </ins>a <ins class="diffchange diffchange-inline">similar role as cI 434 (LVA) in the OFF state). We can even see that the figure is very similar to the one just above, except that the affinity of c2 P22 for the promoter controlling cI 434 (LVA) doesn't seem to matter anymore. This can be easily understood if you remember that we're simulating a continuous 1 signal here, where a lot of cI 434 (without LVA) is coming from the TetR promoter, making small contributions to the cI 434 concentration by the c2 P22 repressible promoter quite irrelevant in this case.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">[[Image:Sens_c2P22_ON.png|800px|center]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">cI 434 (without LVA tag) during a continuous 1 signal is only dependent on the obvious synthesis, degradation rates as can be expected with the total amount of cI 434 being high enough to remove all c2 P22 from the system.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">[[Image:Sens_cI434_ON.png|800px|center]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">A final figure shows the </ins>sensitivity <ins class="diffchange diffchange-inline">of the same cI 434 without tag in a system that has been activated but </ins>is <ins class="diffchange diffchange-inline">now without input. The switch appears </ins>to <ins class="diffchange diffchange-inline">be so strong that we only </ins>detect <ins class="diffchange diffchange-inline">the same sensitivities as in the above scenario of a continuous 1 signal.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">[[Image:Sens_cI434_event.png|800px|center]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">==== Celldeath-related ====</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">The first figure shows the sensitivities for Lactonase in the ON state (the first formula). They can all be expected; we clearly see the dependence on the filter (T7 as well as key-lock characteristics) as well as more obvious synthesis and degradation rates of lactonase itself.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">[[Image:Sens_aiiA_ON.png|800px|center]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">This next one shows the sensitivities of LuxI in a 0 - 1 - 0 event situation. We clearly see the filter effect again but this time it appears to be reinforced by the LacI repressor of the inverter. The </ins>parameters <ins class="diffchange diffchange-inline">for LacI repression are also nicely visible.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">[[Image:Sens_LuxI_event.png|800px|center]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">By looking at HSL in the same 0 - 1 - 0 scenario, we see a very similar picture. All the same sensitivities are visible plus three significant new ones. The first is obvious, it is the rate of HSL synthesis by LuxI. The other two are less obvious, they are the cell volume and the volume of the medium</ins>. These are <ins class="diffchange diffchange-inline">effects of </ins>the <ins class="diffchange diffchange-inline">diffusion out of the cell and into the medium.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">[[Image:Sens_HSL_event.png|800px|center]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">The final study is of ccdB, </ins>our <ins class="diffchange diffchange-inline">final effector in the 0 - 1 - 0 scenario. We can see small sensitivities for the parameters characterising the HSL-LuxR complex such as affinity of the complex for the DNA, affinity of HSL for LuxR etc. The highest sensitivities we get for the properties of ccdB itself. The terminator efficiency </ins>and <ins class="diffchange diffchange-inline">other synthesis and degradation rates.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">[[Image:Sens_ccdB_event.png|800px|center]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">==== Further conclusions ====</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">Our model seems to respond to these sensitivity analyses </ins>as <ins class="diffchange diffchange-inline">suspected and at first glance appears to give us a bit of a margin on most of our parameters</ins>.</div></td></tr>
</table>Nickvdhttp://2008.igem.org/wiki/index.php?title=Team:KULeuven/Model/Sensitivity&diff=23801&oldid=prevNickvd at 14:33, 30 July 20082008-07-30T14:33:36Z<p></p>
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<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>=== Sensitivity Analysis ===</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>=== Sensitivity Analysis ===</div></td></tr>
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</table>Nickvdhttp://2008.igem.org/wiki/index.php?title=Team:KULeuven/Model/Sensitivity&diff=23793&oldid=prevNickvd: New page: === Sensitivity Analysis === Sensitivity analysis lets you calculate the time-dependent sensitivities of all the species states with respect to species initial conditions and parameter va...2008-07-30T14:31:50Z<p>New page: === Sensitivity Analysis === Sensitivity analysis lets you calculate the time-dependent sensitivities of all the species states with respect to species initial conditions and parameter va...</p>
<p><b>New page</b></p><div>=== Sensitivity Analysis ===<br />
<br />
Sensitivity analysis lets you calculate the time-dependent sensitivities of all the species states with respect to species initial conditions and parameter values in the model. A sensitivity analysis is needed e.g. when some of the parameter values are not known. The true value of a parameter is unimportant when the most essential species states are insensitive to the unknown parameter. Only for the sensitive unknown parameters are experiments needed to determine their true values.<br />
<br />
In our project we have been able to find hypothetical values for all used parameters, but a sensitivity analyses is nevertheless always valuable to detect critical parameters. These are the parameter values on which our project critically depends and which should be analyzed/characterized as exact as possible.</div>Nickvd