Combined Chemotaxis and Lysis Model

Introduction

In order to examine how the system as a whole behaves it is necessary to combine the results of modelling the gene regulatory network with a macroscopic model of interacting E. Coli cells. This was done by estimating that quorum sensing becomes activated when the density of bacteria around the source of chemoattractant goes above a critical value, and then saying that after a given time calculated from the stochastic model the cells will then lyse.

Results

The graph below shows the effective radius in which the bacteria have activated quorum sensing:

As you can see, the radius increases from point 1 to a stable

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Conclusions and Results

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References

[1] A.B. Goryachev, D.J. Toh, T. Lee. “Systems analysis of a quorum sensing network: Design constraints imposed by the functional requirements, network topology and kinetic constants”. BioSystems 83 (2006) 178–187

[2] Michail Stamatakis and Nikos V. Manttaris. “Comparison of Deterministic and Stochastic Models of the lac Operon Genetic Network” Biophysical Journal Volume 96 February 2009 887-906 887

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