38 citations · 61 across the 22 of their papers we have counts for
3 papers · 1 filter
Role of Non-Exponential Reversal times in Aggregation Models of Bacterial Populations
Michael Batista, Patrick Murphy, Oleg A. Igoshin +2
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 an…
Breakdown of Boltzmann-type Models for the Alignment of Self-propelled Rods
Patrick Murphy, Misha Perepelitsa, Ilya Timofeyev +3
Studies in the collective motility of organisms use a range of analytical approaches to formulate continuous kinetic models of collective dynamics from rules or equations describin…
A mean-field model for nematic alignment of self-propelled rods
Misha Perepelitsa, Ilya Timofeyev, Patrick Murphy +1
In this paper we develop a model for nematic alignment of self-propelled rods interacting through binary collisions. We avoid phenomenological descriptions of rod interaction in fa…