Asymptotic analysis of a chemotactic model of bacteria colonies

Susumu Miyata, Toru Sasaki

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


An estimate of the distance between spots generated by a bacterial colony model is obtained. The model describes the morphogenesis of a spot pattern in colonies of chemotactic strains of Escherichia coli. Asymptotic methods for other cell-chemotaxis models, which have been successfully used by previous researchers, can be applied also to this model. However the calculations and the result is more complicated for this model. The result is verified by comparing it with the results by numerical computations of solutions of the model.

Original languageEnglish
Pages (from-to)184-194
Number of pages11
JournalMathematical Biosciences
Issue number1-2
Publication statusPublished - May 2006


  • Bacterial colony model
  • Chemotaxis
  • Method of steepest descends
  • Wave length

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • General Biochemistry,Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics


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