Revision as of 12:11, 2 September 2008

(Under Construction)

Simulations and Mathematical analysis

Oscillations

etude math+explication

The goal here is to present the results of the simulations we made concerning the FIFO part of the system.

Here is the system we implementated using Matlab

and the corresponding equations (for more detailed information see our establishment of the model).

We wanted to see if our predictions were accurate or not. We then solved the equations, forcing the behavior of FhlDC. In a first step, we imposed a constant production term of 1. Then, at a certain time, we set this production term to zero :

In fact we assumed that this behavior for FlhDC was acceptable regarding its estimated behavior in the whole system.

We saw previously that without FliA, the FIFO would presumably not work. We then simulated a first system, where [FliA] stays to zero value.

We may see that there is no FIFO.

Then, we simulated the entire system, to check if we had
- the lasting burst due to fliA (more important for Z3 than for Z2, and more important for Z2 than Z1) in the increasing phase.
- the effect of fliA which maintained the concentrations to their maximum (more important for Z3 than for Z2, and more important for Z2 than Z1) in the decreasing phase.

simul plsrs cells
Etude maths

@@ Line 20: / Line 20: @@
 [[Image:FlhDC_Test_FIFO_cresc.jpg|center]]
 [[Image:FlhDC_Test_FIFO_decresc.jpg|center]]
-* We saw [[Team:Paris/Modeling/BOB#Which_gene_goes_were|previously]] that without FliA, the FIFO would presumably not work. We then simulated a first system, where [FliA] stays to zero value
+In fact we assumed that this behavior for FlhDC was acceptable regarding its estimated behavior in the whole system.
+* We saw [[Team:Paris/Modeling/BOB#Which_gene_goes_were|previously]] that without FliA, the FIFO would presumably not work. We then simulated a first system, where [FliA] stays to zero value.
 [[Image:essai_without_fliA.jpg|800px|center]]
+We may see that there is no FIFO.
+* Then, we simulated the entire system, to check if we had
+** the lasting burst due to fliA (more important for Z3 than for Z2, and more important for Z2 than Z1) in the increasing phase.
+** the effect of fliA which maintained the concentrations to their maximum (more important for Z3 than for Z2, and more important for Z2 than Z1) in the decreasing phase.
 [[Image:essai_with_fliA.jpg|800px|center]]