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arXiv · 2411.01735

Role of Non-Exponential Reversal times in Aggregation Models of Bacterial Populations

Michael Batista·Patrick Murphy·Oleg A. Igoshin·Misha Perepelitsa·Ilya Timofeyev
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Abstract

In this paper, we consider 1D agent-based and kinetic models of aggregation with reversals. In particular, we fit a Gamma distribution to represent the run times in myxobacteria and analyze numerically the importance of non-exponential reversal times. We demonstrate that non-exponential reversal times aid aggregation and result in tighter aggregates. We compare and contrast the behavior of agent-based and kinetic models, and also consider kinetic models with aggregation driven by chemotaxis. Thus, incorporating non-exponential reversal times into models of aggregation can be particularly important for reproducing experimental data, such as aggregate persistence and dispersal.

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Michael Batista, Patrick Murphy, Oleg A. Igoshin, Misha Perepelitsa, Ilya Timofeyev. 2024-11-04. Role of Non-Exponential Reversal times in Aggregation Models of Bacterial Populations. https://arxiv.org/abs/2411.01735

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