Team:Paris/Analysis/Math+Sim
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If one tries to draw simulations of this system, he will obtain this kind of results : | If one tries to draw simulations of this system, he will obtain this kind of results : | ||
[[Image:steady_state.jpg|center]] | [[Image:steady_state.jpg|center]] | ||
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+ | In a nutshell : It does not work ! | ||
+ | <br> | ||
+ | Nonetheless, there are two questions we could focus on: | ||
+ | * Is it possible to prove theoretically that it will not produce oscillations ? For detailled answers : [[Team:Paris/Network_analysis_and_design/Core_system/Mathematical analysis and simulations/Mathematical_analysis|mathematical analysis]]. | ||
+ | * Does this result depend on the integration methods used ? For more detailled considerations : [[Team:Paris/Network_analysis_and_design/Core_system/Mathematical analysis and simulations/Integration_methods|Impact of integration methods]]. | ||
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+ | Finally, the logical continuation of the process will be to try to improve the biological system in order to find oscillations. This will be describe in the following part, as well as in the section [[Team:Paris/Network_analysis_and_design/System_improvements|System Improvements]]. | ||
= Parameters' changes = | = Parameters' changes = |
Revision as of 10:43, 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 : In a nutshell : It does not work !
Finally, the logical continuation of the process will be to try to improve the biological system in order to find oscillations. This will be describe in the following part, as well as in the section System Improvements. 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. We can brain-storm about the possible modifications on the core system (see details). The following table sumarize our main findings: |