48 citations · 94 across the 36 of their papers we have counts for
7 papers · 1 filter
Stochastic synchronization of neural activity waves
Zachary P. Kilpatrick
We demonstrate that waves in distinct layers of a neuronal network can become phase-locked by common spatiotemporal noise. This phenomenon is studied for stationary bumps, travelin…
Stochastic motion of bumps in planar neural fields
Daniel Poll, Zachary P. Kilpatrick
We analyze the effects of spatiotemporal noise on stationary pulse solutions (bumps) in neural field equations on planar domains. Neural fields are integrodifferential equations wh…
Networks that learn the precise timing of event sequences
Alan Veliz-Cuba, Harel Shouval, Kresimir Josic +1
Neuronal circuits can learn and replay firing patterns evoked by sequences of sensory stimuli. After training, a brief cue can trigger a spatiotemporal pattern of neural activity s…
Nonlinear Langevin equations for wandering patterns in stochastic neural fields
Paul C. Bressloff, Zachary P. Kilpatrick
We analyze the effects of additive, spatially extended noise on spatiotemporal patterns in continuum neural fields. Our main focus is how fluctuations impact patterns when they are…
Delay stabilizes stochastic motion of bumps in layered neural fields
Zachary P. Kilpatrick
We study the effects of propagation delays on the stochastic dynamics of bumps in neural fields with multiple layers. In the absence of noise, each layer supports a stationary bump…
Molecular mechanisms that regulate the coupled period of the mammalian circadian clock
Jae Kyoung Kim, Zachary P. Kilpatrick, Matthew R. Bennett +1
In mammals, most cells in the brain and peripheral tissues generate circadian (~24hr) rhythms autonomously. These self-sustained rhythms are coordinated and entrained by a master c…
Pulse bifurcations in stochastic neural fields
Zachary P Kilpatrick, Gregory Faye
We study the effects of additive noise on traveling pulse solutions in spatially extended neural fields with linear adaptation. Neural fields are evolution equations with an integr…