| Title |
Effect of gravity on the pattern formation in aqueous suspensions of luminous Escherichia coli / |
| Authors |
Dapkūnas, Boleslovas ; Baronas, Romas ; Šimkus, Remigijus |
| DOI |
10.15388/namc.2025.30.38970 |
| Full Text |
|
| Is Part of |
Nonlinear analysis: modelling and control.. Vilnius : Vilnius University Press. 2025, vol. 30, no. 2, p. 346-365.. ISSN 1392-5113. eISSN 2335-8963 |
| Keywords [eng] |
chemotaxis ; reaction–diffusion ; bioconvection ; pattern formation ; mathematical modelling |
| Abstract [eng] |
This paper presents a nonlinear two-dimensional-in-space mathematical model of self-organization of aqueous bacterial suspensions. The reaction–diffusion–chemotaxis model is coupled with the incompressible Navier–Stokes equations, which are subject to a gravitational force proportional to the relative bacteria density and include a cut-off mechanism. The bacterial pattern formation of luminous Escherichia coli is modelled near the inner lateral surface of a circular microcontainer, as detected by bioluminescence imaging. The simulated plume-like patterns are analysed to determine the values of the dimensionless model parameters, the Schmidt number, Rayleigh number and oxygen cut-off threshold, that closely match the patterns observed experimentally in a luminous E. coli colony. The numerical simulation at the transient conditions was carried out using the finite difference technique. |
| Published |
Vilnius : Vilnius University Press |
| Type |
Journal article |
| Language |
English |
| Publication date |
2025 |
| CC license |
|
