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Diffusion-limited growth in bacterial colony formation

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  • Matsushita, Mitsugu
  • Fujikawa, Hiroshi

Abstract

Colonies of bacterial species called Bacillus subtilis have been found to grow two-dimensionally and self-similarly on agar plates through diffusion-limited processes in a nutrient concentration field. We obtained a fractal dimension of the colony patterns of D=1.73±0.02, very close to that of the two-dimensional DLA model, and confirmed the existence of the screening effect of protruding main branches against inner ones in a colony, the repulsion between two neighboring colonies and the tendency to grow toward nutrient. These effects are all characteristic of the pattern formation in a Laplacian field. This finding implies the importance of physical properties of the environment for the morphology of bacterial colonies in general.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:168:y:1990:i:1:p:498-506
    DOI: 10.1016/0378-4371(90)90402-E
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    1. A. J. Kondonassis, 1986. "Rhythms in Politics and Economics," Journal of Economic Issues, Taylor & Francis Journals, vol. 20(1), pages 242-244, March.
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    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. Ruzicka, Marek C. & Fridrich, Mirek & Burkhard, Martin, 1995. "A bacterial colony is not self-similar," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(4), pages 382-385.
    3. Csahók, Zoltán & Czirók, András, 1997. "Hydrodynamics of bacterial motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(3), pages 304-318.
    4. 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.
    5. Tatek, Yergou B. & Slater, Gary W., 2006. "A simulation model of biofilms with autonomous cells: I. Analysis of a two-dimensional version," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 382-402.
    6. Ben-Jacob, Eshel, 1998. "Bacterial wisdom, Gödel's theorem and creative genomic webs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(1), pages 57-76.
    7. 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.
    8. 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.
    9. 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.
    10. Frey, Erwin, 2010. "Evolutionary game theory: Theoretical concepts and applications to microbial communities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(20), pages 4265-4298.
    11. Salcedo-Sanz, S. & Cuadra, L., 2019. "Hybrid L-systems–Diffusion Limited Aggregation schemes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 592-605.
    12. 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).

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