Team:Paris/Analysis/Math+Sim
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* In addition to the previous FIFO system, we will add a negative feedback on FlhDC promoter to observe oscillations. Thus, we obtained the following network and the corresponding equations : | * In addition to the previous FIFO system, we will add a negative feedback on FlhDC promoter to observe oscillations. Thus, we obtained the following network and the corresponding equations : | ||
[[Image:Oscillations1.jpg|400px|center]] | [[Image:Oscillations1.jpg|400px|center]] | ||
- | + | <br> | |
[[Image:eqn_flhDC.jpg|center]] | [[Image:eqn_flhDC.jpg|center]] | ||
[[Image:FliA_dynamics.jpg|center]] | [[Image:FliA_dynamics.jpg|center]] | ||
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[[Image:YFP.jpg|center]] | [[Image:YFP.jpg|center]] | ||
[[Image:eqn_EnvZ-RFP.jpg|center]] | [[Image:eqn_EnvZ-RFP.jpg|center]] | ||
+ | |||
+ | If you want more details about the way we have built them, you can go to the [[Team:Paris/Network_analysis_and_design/Core_system/Model_construction|model construction]] page. | ||
+ | |||
+ | If one tries to draw simulations of this system, he will obtain this kind of results : | ||
+ | [[Image:steady_state.jpg|center]] | ||
= Parameters' changes = | = Parameters' changes = |
Revision as of 10:34, 26 October 2008
Mathematical analysis and simulations
FIFO
where CFP, YFP, and RFP will be denoted below as respectively Z1,Z2 and Z3.
We have implemented this system using Matlab (see the corresponding codes)
Indeed, we may see that there is a LIFO behavior rather than the FIFO we expect...
Oscillations
If you want more details about the way we have built them, you can go to the model construction page. If one tries to draw simulations of this system, he will obtain this kind of results : Parameters' changesSince the core system has difficulties to produce oscillations, we perform a parameter search and we study the impact of parameters' changes in the core system (see details). We can brain-storm about the possible modifications on the core system. The following table sumarize our main findings: |