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Interface growth and pattern formation in bacterial colonies

Author

Listed:
  • Matsushita, M.
  • Wakita, J.
  • Itoh, H.
  • Ràfols, I.
  • Matsuyama, T.
  • Sakaguchi, H.
  • Mimura, M.

Abstract

Bacterial species Bacillus subtilis is known to exhibit various colony patterns, depending on the substrate softness and nutrient concentration. We have examined the self-affinity and roughness exponent α for growing interfaces of colonies which belong to regions B (Eden-like) and D (disk-like) in the morphological phase diagram of this species. We have obtained α≃0.78 and 0.50 in the regions B and D, respectively, and found that the difference of α values can be attributed to that of microscopic growth mechanisms of colony interfaces. We have also proposed a unified model which produces characteristic colony patterns observed in our experiments. It is a diffusion–reaction-type model for the population density of bacterial cells and the concentration of nutrient. The essential assumption is that there exist two types of bacterial cells; active and inactive. Our model is found to be able to globally reproduce all the colony patterns in the phase diagram.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:249:y:1998:i:1:p:517-524
    DOI: 10.1016/S0378-4371(97)00511-6
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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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