38 citations · 61 across the 22 of their papers we have counts for
25 papers
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…
Existence of weak solutions for the kinetic models of motion of myxobacteria with alignment and reversals
Patrick Murphy, Oleg Igoshin, Misha Perepelitsa +1
In this paper, we consider three non-linear kinetic partial differential equations that emerge in the modeling of motion of rod-shaped cells such as myxobacteria. This motion is ch…
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…
Elementary Bitcoin economics: from production and transaction demand to values
Misha Perepelitsa
In this paper we give an elementary analysis of economics of Bitcoin that combines the transaction demand by the consumers and the supply of hashrate by miners. We argue that the d…
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…
General-purpose cooperativeness and altruism in humans: elements of the mathematical framework for the Interdependence Hypothesis
Misha Perepelitsa
We propose a decision-making model for joint intentionality by interpreting it as group-mindedness at the microlevel. We apply this model to give a formal justification of the firs…