64 citations · 356 across the 30 of their papers we have counts for
32 papers
Pattern Forming Mechanisms of Color Vision
Zily Burstein, David D. Reid, Peter J. Thomas +1
While our understanding of the way single neurons process chromatic stimuli in the early visual pathway has advanced significantly in recent years, we do not yet know how these cel…
A Universal Description of Stochastic Oscillators
Alberto Pérez-Cervera, Boris Gutkin, Peter J. Thomas +1
Many systems in physics, chemistry and biology exhibit oscillations with a pronounced random component. Such stochastic oscillations can emerge via different mechanisms, for exampl…
Explicitly Solvable Continuous-time Inference for Partially Observed Markov Processes
Daniel Chen, Alexander G. Strang, Andrew W. Eckford +1
Many natural and engineered systems can be modeled as discrete state Markov processes. Often, only a subset of states are directly observable. Inferring the conditional probability…
Sensitivity to control signals in triphasic rhythmic neural systems: a comparative mechanistic analysis via infinitesimal local timing response curves
Zhuojun Yu, Jonathan E. Rubin, Peter J. Thomas
Similar activity patterns may arise from model neural networks with distinct coupling properties and individual unit dynamics. These similar patterns may, however, respond differen…
Variational and phase response analysis for limit cycles with hard boundaries, with applications to neuromechanical control problems
Yangyang Wang, Jeffrey P. Gill, Hillel J. Chiel +1
Motor systems show an overall robustness, but because they are highly nonlinear, understanding how they achieve robustness is difficult. In many rhythmic systems, robustness agains…
Heteroclinic cycling and extinction in May-Leonard models with demographic stochasticity
Nicholas W. Barendregt, Peter J. Thomas
May and Leonard (SIAM J. Appl. Math 1975) introduced a three-species Lotka-Volterra type population model that exhibits heteroclinic cycling. Rather than producing a periodic limit…