Modeling the bacterial self-organization in a circular container along the contact line as detected by bioluminescence imaging
Articles
Romas Baronas
Vilnius University, Lithuania
Remigijus Šimkus
Vilnius University, Lithuania
Published 2011-07-25
https://doi.org/10.15388/NA.16.3.14093
PDF

Keywords

reaction-diffusion
chemotaxis
pattern formation
mathematical modeling
whole-cell biosensor

How to Cite

Baronas R. and Šimkus R. (2011) “Modeling the bacterial self-organization in a circular container along the contact line as detected by bioluminescence imaging”, Nonlinear Analysis: Modelling and Control, 16(3), pp. 270-282. doi: 10.15388/NA.16.3.14093.

Abstract

This paper presents a one-dimensional-in-space mathematical model of a bacterial selforganization in a circular container along the contact line as detected by quasi-one-dimensional bioluminescence imaging. The pattern formation in a luminous Escherichia coli colony was modeled by the nonlinear reaction-diffusion-chemotaxis equations in which the reaction term for the cells is a logistic (autocatalytic) growth function. By varying the input parameters the output results were analyzed with a special emphasis on the influence of the model parameters on the pattern formation. The numerical simulation at transition conditions was carried out using the finite difference technique. The mathematical model and the numerical solution were validated by experimental data.

PDF
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Please read the Copyright Notice in Journal Policy

Most read articles by the same author(s)