Difference between revisions of "Template:NYMU-2015project-drylab-Oscillation"
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<p>We build a set of ordinary differential equations for intracellular concentration of LuxI, LuxR, AiiA, AHL, and extracellular AHL. This set of ordinary-differential equations[2] is a little different from the commonly used delay differential equations[1] since such long time delay usually won’t happen in prokaryotic cells. | <p>We build a set of ordinary differential equations for intracellular concentration of LuxI, LuxR, AiiA, AHL, and extracellular AHL. This set of ordinary-differential equations[2] is a little different from the commonly used delay differential equations[1] since such long time delay usually won’t happen in prokaryotic cells. | ||
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+ | <img src="https://static.igem.org/mediawiki/2015/8/82/Nymu-Oscillation_equation.png" style="padding-left:15%;"> | ||
+ | <img src="https://static.igem.org/mediawiki/2015/7/7d/Nymu-Oscillation_graph.png" style="padding-left:15%;"> | ||
+ | <h3>parameters</h3> | ||
− | < | + | <img src="https://static.igem.org/mediawiki/2015/7/70/Nymu-Oscillation_parameter.png" style="padding-left:15%;"> |
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Revision as of 11:04, 13 August 2015
Project
Model
Oscillation
We build a set of ordinary differential equations for intracellular concentration of LuxI, LuxR, AiiA, AHL, and extracellular AHL. This set of ordinary-differential equations[2] is a little different from the commonly used delay differential equations[1] since such long time delay usually won’t happen in prokaryotic cells.
![](https://static.igem.org/mediawiki/2015/8/82/Nymu-Oscillation_equation.png)
![](https://static.igem.org/mediawiki/2015/7/7d/Nymu-Oscillation_graph.png)
parameters
![](https://static.igem.org/mediawiki/2015/7/70/Nymu-Oscillation_parameter.png)
To simulate if the oscillation in the production of luxI will also lead to the oscillation of mtrB and the current produced by Shewanella, we added a few equations to the original model.
Result
The oscillation in current is within 2mA, which is detectable for the soil based microbial fuel cell we designed. As we can see in the graph above, the oscillation has a period of 5 minutes so we can easily observe the oscillation in a pretty short time.