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Holotransformations of bacterial colonies and genome cybernetics

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  • Ben-Jacob, Eshel
  • Tenenbaum, Adam
  • Shochet, Ofer
  • Avidan, Orna

Abstract

We present a study of colony transformations during growth of Bacillus subtilis under adverse environmental conditions. It is a continuation of our pilot study of “Adaptive self-organization during growth of bacterial colonies” (Physica A 187 (1992) 378). First we identify and describe the transformations pathway, i.e. the excitation of the branching modes from Bacillus subtilis 168 (grown under diffusion limited conditions) and the phase transformations between the tip-splitting phase (phase T) and the chiral phase (phase C) which belong to the same mode. This pathway shows the evolution of complexity as the bacteria are exposed to adverse growth conditions. We present the morphology diagram of phases T and C as a function of agar concentration and pepton level. As expected, the growth of phase T is ramified (fractal-like or DLA-like) at low pepton level (about 1 g/1) and turns compact at high pepton level (about 10 g/1). The growth of phase C is also ramified at low pepton level and turns denser and finally compact as the pepton level increases. Generally speaking, the colonies develop more complex patterns and higher micro-level organization for more adverse environments. We use the growth velocity as a response function to describe the growth. At low agar concentration (and low pepton level) phase C grows faster than phase T, and for a high agar concentration (about 2%) phase T grows faster. We observe colony transformations between the two phases (phase transformations). They are found to be consistent with the “fastest growing morphology” selection principle adopted from azoic systems. The transformations are always from the slower phase to the faster one. Hence, we observe T→C transformations at low agar concentrations and C→T transformations at high agar concentrations. We have observed both localized and extended transformations. Usually, the transformations are localized for more adverse growth conditions, and extended for growth conditions close to the boundaries between morphologies. We have observed also transformations between different branching modes, as well as transformations via virtual states.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:202:y:1994:i:1:p:1-47
    DOI: 10.1016/0378-4371(94)90165-1
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    References listed on IDEAS

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    1. Kiminori Matsuyama, 1995. "Complementarities and Cumulative Processes in Models of Monopolistic Competition," Journal of Economic Literature, American Economic Association, vol. 33(2), pages 701-729, June.
    2. 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.
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    Cited by:

    1. Csahók, Zoltán & Czirók, András, 1997. "Hydrodynamics of bacterial motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(3), pages 304-318.
    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. 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.
    4. 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.
    5. Ben-Jacob, Eshel, 1998. "The cybernetic genome," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 407-414.
    6. 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.
    7. 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.
    8. 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.

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