2 citations · 3 across the 3 of their papers we have counts for
3 papers
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…
Rare Events Analysis and Computation for Stochastic Evolution of Bacterial Populations
Yingxue Su, Brett Geiger, Ilya Timofeyev +2
In this paper, we develop a computational approach for computing most likely trajectories describing rare events that correspond to the emergence of non-dominant genotypes. This wo…
Stochastic Mode-Reduction in Models with Conservative Fast Sub-Systems
Ankita Jain, Ilya Timofeyev, Eric Vanden-Eijnden
A stochastic mode reduction strategy is applied to multiscale models with a deterministic energy-conserving fast sub-system. Specifically, we consider situations where the slow var…