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The global turning probability density function for motile bacteria and its applications

K C Chen1, R M Ford, P T Cummings

  • 1Department of Chemical Engineering, University of Virginia, Charlottesville, VA 22903-2442, USA.

Journal of Theoretical Biology
|November 21, 1998
PubMed
Summary

This study presents a new method to convert local bacterial turning probability distributions into global ones, simplifying the analysis of bacterial chemotaxis. This facilitates a better understanding of bacterial movement patterns in complex environments.

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Area of Science:

  • Microbiology
  • Biophysics
  • Mathematical Biology

Background:

  • Bacterial chemotaxis analysis is hindered by local coordinate systems for turning probability.
  • Global analysis of bacterial migration requires a transformation of these distributions.

Purpose of the Study:

  • To derive a global angular turning probability density function for motile bacteria.
  • To investigate the properties and applications of this global function.

Main Methods:

  • Analytical derivations to convert local to global probability density distributions.
  • Definition and study of three types of cosine moments based on integration.
  • Investigation of statistical indices embedded within the global function's moments.

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Main Results:

  • An explicit expression for the reduced global turning probability density function was derived.
  • Directional persistence, persistence number, and reversal probability were identified within the function's moments.
  • Applications to a 3D cell balance equation in axisymmetric systems were discussed.

Conclusions:

  • The derived global turning probability function simplifies bacterial chemotaxis analysis.
  • The function's moments contain key statistical parameters of bacterial movement.
  • This approach offers a more convenient framework for global bacterial migration studies.