Team:Paris/Analysis/Math+Sim
From 2008.igem.org
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* We wanted to see if, from a mathematical point of view, it was possible for the "short" system presented above to hover. | * We wanted to see if, from a mathematical point of view, it was possible for the "short" system presented above to hover. | ||
[[Image:Oscillations1.jpg|400px|center]] | [[Image:Oscillations1.jpg|400px|center]] | ||
+ | |||
+ | We finally obtained the following equations : | ||
+ | |||
+ | [[Image:eqn_flhDC.jpg|center]] | ||
+ | [[Image:FliA_dynamics.jpg|center]] | ||
+ | [[Image:CFP.jpg|center]] | ||
+ | [[Image:YFP.jpg|center]] | ||
+ | [[Image:eqn_EnvZ-RFP.jpg|center]] | ||
= Oscillations = | = Oscillations = |
Revision as of 09:28, 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
We finally obtained the following equations : Oscillations |