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Role of non-exponential reversal times in aggregation models of bacterial populations

https://doi.org/10.1016/j.mbs.2025.109418

Batista, Michael; Murphy, Patrick; Igoshin, Oleg A; Perepelitsa, Misha; Timofeyev, Ilya (May 2025, Mathematical Biosciences)

Free, publicly-accessible full text available May 1, 2026
On the existence of weak solutions for the kinetic models of the motion of myxobacteria with alignment and reversals

https://doi.org/10.3934/krm.2025001

Perepelitsa, Misha; Timofeyev, Ilya; Murphy, Patrick; Igoshin, Oleg A (January 2025, Kinetic and Related Models)

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Rare events analysis and computation for stochastic evolution of bacterial populations

https://doi.org/10.1080/07362994.2024.2422913

Su, Yingxue; Geiger, Brett; Timofeyev, Ilya; Mang, Andreas; Azencott, Robert (January 2025, Stochastic Analysis and Applications)

In this article, we develop a computational approach for estimating the most likely trajectories describing rare events that correspond to the emergence of non-dominant genotypes. This work is based on the large deviations approach for discrete Markov chains describing the genetic evolution of large bacterial populations. We demonstrate that a gradient descent algorithm developed in this article results in the fast and accurate computation of most likely trajectories for a large number of bacterial genotypes. We supplement our analysis with extensive numerical simulations demonstrating the computational advantage of the designed gradient descent algorithm over other, more simplified, approaches.
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Breakdown of Boltzmann-type models for the alignment of self-propelled rods

https://doi.org/10.1016/j.mbs.2024.109266

Murphy, Patrick; Perepelitsa, Misha; Timofeyev, Ilya; Lieber-Kotz, Matan; Islas, Brandon; Igoshin, Oleg A (October 2024, Mathematical Biosciences)

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Mean-field model for nematic alignment of self-propelled rods

https://doi.org/10.1103/PhysRevE.106.034613

Perepelitsa, Misha; Timofeyev, Ilya; Murphy, Patrick; Igoshin, Oleg A. (September 2022, Physical Review E)
Reaction-diffusion models for morphological patterning of hESCs

https://doi.org/10.1007/s00285-021-01674-3

Bedekar, Prajakta; Timofeyev, Ilya; Warmflash, Aryeh; Perepelitsa, Misha (November 2021, Journal of Mathematical Biology)

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