48 citations · 94 across the 36 of their papers we have counts for
4 papers · 1 filter
Sensory feedback in a bump attractor model of path integration
Daniel B Poll, Khanh Nguyen, Zachary P Kilpatrick
The mammalian spatial navigation system makes use of several different sensory information channels. This information is then converted into a neural code that represents the anima…
Ghosts of bump attractors in stochastic neural fields: Bottlenecks and extinction
Zachary P. Kilpatrick
We study the effects of additive noise on stationary bump solutions to spatially extended neural fields near a saddle-node bifurcation. The integral terms of these evolution equati…
Stochastic models of evidence accumulation in changing environments
Alan Veliz-Cuba, Zachary P. Kilpatrick, Kresimir Josic
Organisms and ecological groups accumulate evidence to make decisions. Classic experiments and theoretical studies have explored this process when the correct choice is fixed durin…
Entrainment in up and down states of neural populations: non-smooth and stochastic models
Zachary McCleney, Zachary P. Kilpatrick
We study the impact of noise on a neural population rate model of up and down states. Up and down states are typically observed in neuronal networks as a slow oscillation, where th…