IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v388y2009i4p549-559.html
   My bibliography  Save this article

Simulating the migration and growth patterns of Bacillus subtilis

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843710800900X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2008.10.046?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. 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.
    3. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mansour, M.B.A., 2007. "Traveling wave solutions of a reaction–diffusion model for bacterial growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 466-472.
    2. Muzzio, Nicolás E. & Horowitz, Claudio M. & Azzaroni, Omar & Moya, Sergio E. & Pasquale, Miguel A., 2021. "Tilted mammalian cell colony propagation dynamics on patterned substrates," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Samvel Sarukhanian & Anna Maslovskaya & Christina Kuttler, 2023. "Three-Dimensional Cellular Automaton for Modeling of Self-Similar Evolution in Biofilm-Forming Bacterial Populations," Mathematics, MDPI, vol. 11(15), pages 1-18, July.
    4. Lin Chen & Javad Noorbakhsh & Rhys M Adams & Joseph Samaniego-Evans & Germaine Agollah & Dmitry Nevozhay & Jennie Kuzdzal-Fick & Pankaj Mehta & Gábor Balázsi, 2014. "Two-Dimensionality of Yeast Colony Expansion Accompanied by Pattern Formation," PLOS Computational Biology, Public Library of Science, vol. 10(12), pages 1-14, December.
    5. Golding, Ido & Kozlovsky, Yonathan & Cohen, Inon & Ben-Jacob, Eshel, 1998. "Studies of bacterial branching growth using reaction–diffusion models for colonial development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 260(3), pages 510-554.
    6. Banitz, Thomas & Fetzer, Ingo & Johst, Karin & Wick, Lukas Y. & Harms, Hauke & Frank, Karin, 2011. "Assessing biodegradation benefits from dispersal networks," Ecological Modelling, Elsevier, vol. 222(14), pages 2552-2560.
    7. Leyva, J. Francisco & Málaga, Carlos & Plaza, Ramón G., 2013. "The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5644-5662.
    8. Wang, Chuan & Xia, Hui, 2024. "Scaling properties and height distributions of persisting roughness in the discrete growth models in the presence of the angle of repose," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    9. Chapwanya, Michael & Dumani, Phindile, 2023. "Stationary and oscillatory patterns in microbial population under environmental stress," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 370-383.
    10. Gafiychuk, V.V. & Datsko, B.Yo., 2006. "Pattern formation in a fractional reaction–diffusion system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 300-306.
    11. Kaoru Sugimura & Kohei Shimono & Tadashi Uemura & Atsushi Mochizuki, 2007. "Self-organizing Mechanism for Development of Space-filling Neuronal Dendrites," PLOS Computational Biology, Public Library of Science, vol. 3(11), pages 1-12, November.
    12. Ben-Jacob, Eshel & Cohen, Inon & Golding, Ido & Gutnick, David L. & Tcherpakov, Marianna & Helbing, Dirk & Ron, Ilan G., 2000. "Bacterial cooperative organization under antibiotic stress," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 282(1), pages 247-282.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:388:y:2009:i:4:p:549-559. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.