Role of Non-Exponential Reversal times in Aggregation Models of Bacterial Populations
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arXiv
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| Format: | Preprint |
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2024
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| author | Batista, Michael Murphy, Patrick Igoshin, Oleg A. Perepelitsa, Misha Timofeyev, Ilya |
| author_facet | Batista, Michael Murphy, Patrick Igoshin, Oleg A. Perepelitsa, Misha Timofeyev, Ilya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01735 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Role of Non-Exponential Reversal times in Aggregation Models of Bacterial Populations Batista, Michael Murphy, Patrick Igoshin, Oleg A. Perepelitsa, Misha Timofeyev, Ilya Biological Physics Cell Behavior 92B99, 82B99 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. |
| title | Role of Non-Exponential Reversal times in Aggregation Models of Bacterial Populations |
| topic | Biological Physics Cell Behavior 92B99, 82B99 |
| url | https://arxiv.org/abs/2411.01735 |