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Collapsing bacterial cylinders.

M D Betterton1, M P Brenner

  • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
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Bacteria form dense, cylindrical structures that break into spheres. This study reveals the physics of this process, explaining how attraction and diffusion balance and how cylinder instability determines final aggregate spacing.

Area of Science:

  • Microbiology
  • Biophysics
  • Mathematical Biology

Background:

  • Bacteria can form dense aggregates under specific conditions.
  • These aggregates initially form cylindrical structures that later break into spheres.

Purpose of the Study:

  • To provide a theoretical description of bacterial aggregation, from cylindrical collapse to final aggregate spacing.
  • To analyze the interplay between bacterial attraction and diffusion during aggregation.
  • To elucidate the two-stage instability process of collapsing cylinders.

Main Methods:

  • Theoretical modeling of bacterial aggregation dynamics.
  • Analysis of cylindrical collapse laws, considering corrections from dimensional analysis.
  • Investigation of the instability mechanisms in collapsing cylinders, including front propagation.

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Main Results:

  • Cylindrical collapse is governed by a near-cancellation of bacterial attraction and diffusion.
  • Cylinder instability occurs in two stages: initial modulations and final pinch-off.
  • A propagating front determines the spacing of the resulting spherical bacterial aggregates.

Conclusions:

  • The study provides a theoretical framework for understanding bacterial aggregation into spherical structures.
  • The findings highlight the critical role of attraction-diffusion balance and cylinder instability in this process.
  • The research elucidates how front propagation dictates the spatial organization of bacterial aggregates.