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 language | English (US) |
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Pages (from-to) | 255-258 |
Number of pages | 4 |
Journal | Doklady Akademii Nauk |
Volume | 394 |
Issue number | 2 |
State | Published - 2004 |
Externally published | Yes |