Special Session 84: Recent developments in understanding of nonlinear phenomena in fluid dynamics, biology, statistical mechanics and optics

Non-exponential reversal times in models of bacterial aggregation

Ilya Timofeyev
University of Houston
USA
Co-Author(s):    Mikhail Perepelitsa, Oleg Igoshin, Patrick Murphy
Abstract:
We consider prototype agent-based models of aggregation with reversals and a build-in chemotaxis mechanism. Following experimental data, we consider models where reversal times follow a non-exponential distribution. We derive a kinetic model for the behavior of the density and use Gamma distribution to approximate moments of reversal times in experimental data. We demonstrate that for non-exponential reversal times aggregates become more narrow compared with reversal times distributed exponentially.