Team:Paris/Modeling/BOB/Simulations page travail

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* As introcued befoe, the goal of this model was to give us useful bases on which to work on. Then, we shall use the values of the parameters presented below as a "starting point". Again, we shall present a double approach, composed of a theoretical and a simulation approach. Both approaches should interact so as to help us understand the way our system behaves.
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* As introcued before, the goal of this model was to give us useful bases on which to work on. Then, we shall use the values of the parameters presented below as a "starting point". Again, we shall present a double approach, composed of a theoretical and a simulation approach. Both approaches should interact so as to help us understand the way our system behaves.
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=== Observations ===
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* First of all, let us see what the simulation gives, and what pieces of information we can get from it.
* First of all, let us see what the simulation gives, and what pieces of information we can get from it.
By looking at this simulation, we could think that it is going to be hard to get oscillations...
By looking at this simulation, we could think that it is going to be hard to get oscillations...
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However when we zoom, we get this more reassuring view :
However when we zoom, we get this more reassuring view :
[[Image:Simul_fig2.jpg|600px|center]]
[[Image:Simul_fig2.jpg|600px|center]]
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=== Understanding ===
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=== Reaction and directions for the wet-lab ===

Revision as of 22:33, 6 October 2008

(Under Construction : synchronisation and whole system)

Simulations and Mathematical analysis


Contents

Oscillations

Short System

  • We wanted to see if, from a mathematical point of view, it was possible for the "short" system presented above to hover.
Oscillations1.jpg
  • Here are the equations we took into account :
FlhDC dynamics simul 3.jpg
FliA dynamics simul 3.jpg
TetR simul 3.jpg
  • The equations are normalized (thus the degradation term set to 1), as well as the parameters :
Parameters Used
Parameter Normalized Value
βFlhDC 1
θFlhDC 0.4545
n 2
βFliA 0.1429
β'FliA 0.8581
βLasI 0.2222
β'LasI 0.7778
  • As introcued before, the goal of this model was to give us useful bases on which to work on. Then, we shall use the values of the parameters presented below as a "starting point". Again, we shall present a double approach, composed of a theoretical and a simulation approach. Both approaches should interact so as to help us understand the way our system behaves.

Observations

  • First of all, let us see what the simulation gives, and what pieces of information we can get from it.

By looking at this simulation, we could think that it is going to be hard to get oscillations...

Simul fig1.jpg

However when we zoom, we get this more reassuring view :

Simul fig2.jpg

Understanding

Reaction and directions for the wet-lab

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