Lattice-Boltzmann model for bacterial chemotaxis

Markus Hilpert

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


We present a new numerical approach for modeling bacterial chemotaxis and the fate and transport of a chemoattractant in bulk liquids. This Lattice-Boltzmann method represents the microorganisms and the chemoattractant by quasi-particles that move, collide, and react with each other on a two-dimensional numerical lattice. We use the model to simulate traveling bands of bacteria along self-generated gradients in substrate concentration in bulk liquids. Particularly, we simulate Pseudomonas putida that respond chemotactically to naphthalene dissolved in water. We find that only a fraction of a bacterial slug injected into a domain containing the chemoattractant at constant concentration forms a traveling band as the slug length exceeds a critical value. An expanding bacterial ring forms as one injects a droplet of bacteria into a two-dimensional domain.

Original languageEnglish (US)
Pages (from-to)302-332
Number of pages31
JournalJournal of Mathematical Biology
Issue number3
StatePublished - Sep 1 2005


  • Chemotaxis
  • Lattice-Boltzmann modeling

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics


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