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Studies of bacterial branching growth using reaction–diffusion models for colonial development

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  • Golding, Ido
  • Kozlovsky, Yonathan
  • Cohen, Inon
  • Ben-Jacob, Eshel

Abstract

Various bacterial strains exhibit colonial branching patterns during growth on poor substrates. These patterns reflect bacterial cooperative self-organization and cybernetic processes of communication, regulation and control employed during colonial development. One method of modeling is the continuous, or coupled reaction–diffusion approach, in which continuous time evolution equations describe the bacterial density and the concentration of the relevant chemical fields. In the context of branching growth, this idea has been pursued by a number of groups. We present an additional model which includes a lubrication fluid excreted by the bacteria. We also add fields of chemotactic agents to the other models. We then present a critique of this whole enterprise with focus on the models’ potential for revealing new biological features.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:260:y:1998:i:3:p:510-554
    DOI: 10.1016/S0378-4371(98)00345-8
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    References listed on IDEAS

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    1. Ben-Jacob, Eshel & Shmueli, Haim & Shochet, Ofer & Tenenbaum, Adam, 1992. "Adaptive self-organization during growth of bacterial colonies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(3), pages 378-424.
    2. Ben-Jacob, Eshel & Tenenbaum, Adam & Shochet, Ofer & Avidan, Orna, 1994. "Holotransformations of bacterial colonies and genome cybernetics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 202(1), pages 1-47.
    3. Ben-Jacob, Eshel & Cohen, Inon & Czirók, András & Vicsek, Tamás & Gutnick, David L., 1997. "Chemomodulation of cellular movement, collective formation of vortices by swarming bacteria, and colonial development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 238(1), pages 181-197.
    4. David A. Kessler & Herbert Levine, 1998. "Fluctuation-induced diffusive instabilities," Nature, Nature, vol. 394(6693), pages 556-558, August.
    5. Matsushita, Mitsugu & Fujikawa, Hiroshi, 1990. "Diffusion-limited growth in bacterial colony formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 498-506.
    6. 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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    Cited by:

    1. 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.
    2. Ron, Ilan G. & Golding, Ido & Lifsitz-Mercer, Beatrice & Ben-Jacob, Eshel, 2003. "Bursts of sectors in expanding bacterial colonies as a possible model for tumor growth and metastases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 485-496.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.

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