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Simulating the migration and growth patterns of Bacillus subtilis

Author

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  • Badoual, M.
  • Derbez, P.
  • Aubert, M.
  • Grammaticos, B.

Abstract

We introduce a cellular-automaton based model for the description of the migration and growth patterns of colonies of Bacillus subtilis. The two phases, associated with processes of migration and proliferation, are described by appropriate rules for the update of the automaton. We show that it is possible to reproduce the patterns present in the morphological diagram for B. subtilis and in particular the ring-like structure that the colonies adopt in the case of a not very hard medium and under nutrient abundance.

Suggested Citation

  • Badoual, M. & Derbez, P. & Aubert, M. & Grammaticos, B., 2009. "Simulating the migration and growth patterns of Bacillus subtilis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 549-559.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:4:p:549-559
    DOI: 10.1016/j.physa.2008.10.046
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    References listed on IDEAS

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    1. Mimura, Masayasu & Sakaguchi, Hideo & Matsushita, Mitsugu, 2000. "Reaction–diffusion modelling of bacterial colony patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 282(1), pages 283-303.
    2. Vicsek, Tamás & Cserző, Miklós & Horváth, Viktor K., 1990. "Self-affine growth of bacterial colonies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 167(2), pages 315-321.
    3. Nishiyama, A. & Tanaka, H. & Tokihiro, T., 2008. "An isotropic cellular automaton for excitable media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3129-3136.
    4. Matsushita, M. & Wakita, J. & Itoh, H. & Ràfols, I. & Matsuyama, T. & Sakaguchi, H. & Mimura, M., 1998. "Interface growth and pattern formation in bacterial colonies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 517-524.
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