Modelling the morphology of migrating bacterial colonies |
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Authors: | A Nishiyama T Tokihiro B Grammaticos |
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Institution: | a Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, 153-8914 Tokyo, Japan b IMNC, Université Paris VII-Paris XI, CNRS, UMR 8165, Bât. 440, 91406 Orsay, France |
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Abstract: | We present a model which aims at describing the morphology of colonies of Proteus mirabilis and Bacillus subtilis. Our model is based on a cellular automaton which is obtained by the adequate discretisation of a diffusion-like equation, describing the migration of the bacteria, to which we have added rules simulating the consolidation process. Our basic assumption, following the findings of the group of Chuo University, is that the migration and consolidation processes are controlled by the local density of the bacteria. We show that it is possible within our model to reproduce the morphological diagrams of both bacteria species. Moreover, we model some detailed experiments done by the Chuo University group, obtaining a fine agreement. |
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Keywords: | Bacterial colonies Pattern formation Ring-like structures Migration-consolidation |
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