Conditions for wave-front instability of a propagating chemotaxic bacterial population

Georgiy Aslanidi, O. V. Aslanidi, M. A. Tsyganov, A. V. Kholden, G. R. Ivanitskij

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Using mathematical modeling, bacterial population front stability was studied for the case of nonlinear diffusion as well as bacteria chemotaxis. The conditions of transition from radial waves to fractal-type structures. The known Keller-Segel chemotaxis model is used, modified for nonlinear diffusion, when the diffusion coefficient is not a constant but function of bacteria and substrate concentration. As shown, the distinct fractal-type structure is formed only in a medium, where both chemotaxis and diffusion coefficients are small (D = 0.1 and v = 2.0). In such medium the bacterial front perturbations aren't 'dissipated' by diffusion and chemotaxis flows generated at bacteria and substrate concentrations' spatial gradients.

Original languageEnglish (US)
Pages (from-to)255-258
Number of pages4
JournalDoklady Akademii Nauk
Volume394
Issue number2
StatePublished - Sep 3 2004
Externally publishedYes

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