Paris/Cell auto

From 2007.igem.org

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('''''We make some hypothesis:''''')
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The '''DAP is made in bacteria S''', the production rate is the difference between the total production and self consummation<br>
The '''DAP is made in bacteria S''', the production rate is the difference between the total production and self consummation<br>
The DAP can be under two types intra/extra cellular (DAPi/DAPe)<br>
The DAP can be under two types intra/extra cellular (DAPi/DAPe)<br>
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The '''DAP is comsume in bacteria G''' <br><br><br>
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The '''DAP is comsumme in bacteria G''' <br><br><br>
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=='''''We have 3 entities in our model'''''==
=='''''We have 3 entities in our model'''''==
Bact it has a concentration internal of DAP ('''DAPi''') and external ('''DAPe'''). It's a cell in our automaton<br>
Bact it has a concentration internal of DAP ('''DAPi''') and external ('''DAPe'''). It's a cell in our automaton<br>

Revision as of 12:02, 22 October 2007




Contents

Spacial simulation

We try with this work to characterize the diffusion of the DAP and the effect on the cells. We have a "tapis bactériens" with germinal cells and some somatic cells.

We make some hypothesis:

We work with a constant population (no death and no division), we can imagine that we are a stationary phase or between to division cycle.
The differentiation is DAP dependent, it's append when the cell as enough DAP to evolve but not enough to divide.
The DAP is made in bacteria S, the production rate is the difference between the total production and self consummation
The DAP can be under two types intra/extra cellular (DAPi/DAPe)
The DAP is comsumme in bacteria G


We have 3 entities in our model

Bact it has a concentration internal of DAP (DAPi) and external (DAPe). It's a cell in our automaton
BactS is a Bact which produce DAPi
BactG is a Bact which consume DAPi


We produce this set of rules


For bactS

  • DAPe = DAPe + DAPe_diffused_in_neighborhood + DAPi_diffused_from_the_BactS
  • DAPi= DAPi +DAPi_produced - DAPi_diffused_from_the_BactS


For BactG

  • DAPe=DAPe + DAPe_diffused_in_neighborhood - DAPi_diffused_from_the_BactG
  • DAPi= DAPi -DAPi_consummate + DAPi_diffused_from_the_BactG
  • BactG = if minimal DAPi for differentiation < DAPi < maximal DAPi for differentiation BactS else stay BactG




Initial state


We use a 30x30 cells automaton. All cells are BactG excepted 4 BactS which are placed randomly on the automaton


Parameters


We have 8 parameters and we can had noise for each of them.
In BactS:

  • Dap export
  • Dap import
  • Dap production


In BactG:

  • Dap export
  • Dap import
  • Dap consummation
  • Minimal Dap needed for differentiation
  • Maximal Dap needed for differentiation




Output


The output is two animated pictures one showinf the differntiation the other the diffusion of DAPe

Dap diffusionBact differentiation

  • The first picture show the diffusion of DAP
We can see a front wave in light blue after that there is a dark blue area in which the systeme is stable the concentration doesn't evolve.
  • The second picture show the differention
Red BactG
Green BactS
The differentiation follow the wave front

After playing with the parameters, we can deduct 2 important things:

  • The inhibition most be strong and effective (we play with the minimal and maximal value of DAP for differentiation)
if it isn't the case the system collapse all the bactG stay BactG if the inhibition is too strong or switch to BactS if the inhibition is not enough strong.
  • The production and diffusion of DAP will be a critical factor
The DAP has to be produce then he will be exported, it will diffuse in the medium and will be imported
There is no proof of a special systme to import or export DAP, so for each step there is a large amount of DAP lost.