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Chemomodulation of cellular movement, collective formation of vortices by swarming bacteria, and colonial development

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  • Ben-Jacob, Eshel
  • Cohen, Inon
  • Czirók, András
  • Vicsek, Tamás
  • Gutnick, David L.

Abstract

Bacterial colonies have developed sophisticated modes of cooperative behavior which enable them to respond to adverse growth conditions. It has been shown that such behavior can be manifested in formation of complex colonial patterns. Certain Bacillus species exhibit collective migration, “turbulent like” flow and emergence of whirlpools during colonial development. Here we present experimental observations of collective behavior and a generic model to explain such behavior. The model incorporates self-propelled and interacting “particles” (swarmers). We show that velocity interaction between the particles can lead to a synchronized movement. To explain vortices formation, we propose a plausible mechanism involving a special chemotactic response (rotational chemotaxis) which is based on speed modulations according to the concentration of a chemoattractant. This mechanism differs from that exhibited by swimming bacteria. We show that the chemomodulation of swarmers' speed together with the velocity interactions impose a torque on the collective motion and can lead to formation of vortices. The inclusion of both attractive and repulsive rotational chemotaxis in the model captures the salient features of the observed growth patterns.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:238:y:1997:i:1:p:181-197
    DOI: 10.1016/S0378-4371(96)00457-8
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Cohen, Inon & Ron, Ilan G & Ben-Jacob, Eshel, 2000. "From branching to nebula patterning during colonial development of the Paenibacillus alvei bacteria," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(1), pages 321-336.
    6. Chuan Xue & Elena O Budrene & Hans G Othmer, 2011. "Radial and Spiral Stream Formation in Proteus mirabilis Colonies," PLOS Computational Biology, Public Library of Science, vol. 7(12), pages 1-11, December.

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