Paris\Cell auto

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Latest revision as of 15:25, 20 October 2007

Introduction
Proof of principle
Quantitative aspects
Summary
Appendix

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 comsume 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===

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

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