64 citations · 81 across the 8 of their papers we have counts for
8 papers
Plastic systemic inhibition controls amplitude while allowing phase pattern in a stochastic neural field model
Conor L. Morrison, Priscilla E. Greenwood, Lawrence M. Ward
Oscillatory phase pattern formation and amplitude control for a linearized stochastic neuron field model was investigated by simulating coupled stochastic processes defined by stoc…
On the Density arising from the Domain of Attraction between Sum and Supremum: the -Sun operator
N. S. Witte, P. E. Greenwood
We explore the analytic properties of the density function , , , which arises from the domain of attraction problem for a stati…
Rapidly forming, slowly evolving, spatial patterns from quasi-cycle Mexican Hat coupling
Priscilla E. Greenwood, Lawrence M. Ward
A lattice-indexed family of stochastic processes has quasi-cycle oscillations if its otherwise-damped oscillations are sustained by noise. Such a family performs the reaction part…
Noise Sharing and Mexican Hat Coupling in a Stochastic Neural Field
Peter H. Baxendale, Priscilla E. Greenwood, Lawrence M. Ward
A diffusion-type coupling operator biologically significant in neuroscience is a difference of Gaussian functions (Mexican Hat operator) used as a spatial-convolution kernel. We ar…
The roles of direct and environmental transmission in stochastic avian flu epidemic recurrence
May Anne E. Mata, Priscilla E. Greenwood, Rebecca C. Tyson
We present an analysis of an avian flu model that yields insight into the role of different transmission routes in the recurrence of avian influenza epidemics. Recent modelling wor…
Fluctuation theorems and 1/f noise from a simple matrix
Ralph V. Chamberlin, Sumiyoshi Abe, Bryce F. Davis +2
Here we present a model for a small system combined with an explicit entropy bath that is comparably small. The dynamics of the model is defined by a simple matrix, M. Each row of…
A Kuramoto coupling of quasi-cycle oscillators
Priscilla E. Greenwood, Lawrence M. Ward
A family of stochastic processes has quasi-cycle oscillations if the oscillations are sustained by noise. For such a family we define a Kuramoto-type coupling of both phase and amp…
The Morris-Lecar neuron model embeds a leaky integrate-and-fire model
Susanne Ditlevsen, Priscilla Greenwood
We show that the stochastic Morris-Lecar neuron, in a neighborhood of its stable point, can be approximated by a two-dimensional Ornstein-Uhlenbeck (OU) modulation of a constant ci…