A One-dimensional Discrete Model of Biased Random Walk Relating to Bacterial Chemo-taxis

• Goto Tomonobu

  Tottori University

• Nakai Tonau

  Tottori University

Abstract

A biased one-dimensional random walk model is proposed. This model adopts biased rules that include the features of bacterial chemo-taxis. In this model, a model cell moves along a discretized number line sensing whether it has approached or receded from the origin where a chemical attractant exists. A steady probability distribution function of the cell's existence is analytically obtained and it is confirmed by numerical simulations. The biased rules introduce advection effect into random diffusive motion: the probability distribution indicates model cells' accumulation around the origin, which corresponds to the spatial migration of bacterial cells around a chemical attractant.

Journal

• Journal of Aero Aqua Bio-mechanisms

  Journal of Aero Aqua Bio-mechanisms 4 (1), 18-24, 2015

  Society of Aero Aqua Bio-mechanisms

Keywords

• Chemo-taxis
• Bacterium
• Random walk
• Mathematical model

Details

• CRID: 1390282680318763008
• NII Article ID: 130005084257
• DOI: 10.5226/jabmech.4.18
• ISSN: 21851522
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed