Transport in exclusion processes with one-step memory: density dependence and optimal acceleration
We study a lattice gas of persistent walkers, in which each site is occupied by at most one
particle and the direction each particle attempts to move to depends on its last step. We …
particle and the direction each particle attempts to move to depends on its last step. We …
Correlations and transport in exclusion processes with general finite memory
We consider the correlations and the hydrodynamic description of persistent random
walkers on a lattice. We derive a drift-diffusion equation and identify a memory-dependent …
walkers on a lattice. We derive a drift-diffusion equation and identify a memory-dependent …
Consistent dynamics of stripes formed by cell-type interfaces
SG McCalla, JH von Brecht - SIAM Journal on Applied Dynamical Systems, 2018 - SIAM
Agent-based modeling pervades mathematical biology due to its power to link simple
particle dynamics to large-scale emergent behavior. Predicting the manner in which …
particle dynamics to large-scale emergent behavior. Predicting the manner in which …
Fronts under arrest II: analytical foundations
JH von Brecht, SG McCalla, EH Kim - arXiv preprint arXiv:2311.01633, 2023 - arxiv.org
We study a class of minimal geometric partial differential equations that serves as a
framework to understand the evolution of boundaries between states in different pattern …
framework to understand the evolution of boundaries between states in different pattern …
Analysis of dynamic biological systems imagery
CD Dudiak - 2022 - scholarworks.montana.edu
Biological systems pose considerable challenges when attempting to isolate experimental
variables of interest and obtain viable data. Developments in image analysis algorithms and …
variables of interest and obtain viable data. Developments in image analysis algorithms and …