Abstract
Understanding the growth and dynamics of bacterial colonies is a fascinating problem, which requires combining ideas from biology, physics and applied mathematics. We briefly review the recent experimental and theoretical literature relevant to this question and describe a hydrodynamic model (Lega and Passot 2003 Phys. Rev. E 67 031906, 2004 Chaos 14 562-70), which captures macroscopic motions within bacterial colonies, as well as the macroscopic dynamics of colony boundaries. The model generalizes classical reaction-diffusion systems and is able to qualitatively reproduce a variety of colony shapes observed in experiments. We conclude by listing open questions about the stability of interfaces as modelled by reaction-diffusion equations with nonlinear diffusion and the coupling between reaction-diffusion equations and a hydrodynamic field.
Original language | English (US) |
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Article number | 001 |
Pages (from-to) | C1-C16 |
Journal | Nonlinearity |
Volume | 20 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2007 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics