159 citations · 347 across the 10 of their papers we have counts for
12 papers
A weighted model of perception and decision-making between targets of finite size
W. Christopher Strickland, Andrew J. Bernoff
Recent research grounded in experiments has connected neural ring models of vision to how animals navigate a complex landscape of attractive targets. In this paper we investigate t…
The three-dimensional Neumann Green's function for general surfaces: singular asymptotics and boundary integral methods
Alan E. Lindsay, Andrew J. Bernoff, Tristan Goodwill +1
We present an asymptotic analysis and high-order boundary integral method for the three-dimensional Neumann Green's function in general closed and smooth geometries. The Neumann Gr…
Kinetic Monte Carlo methods for three-dimensional diffusive capture problems in exterior domains
Alan E. Lindsay, Andrew J. Bernoff
Cellular scale decision making is modulated by the dynamics of signalling molecules and their diffusive trajectories from a source to small absorbing sites on the cellular surface.…
Agent-based and continuous models of hopper bands for the Australian plague locust: How resource consumption mediates pulse formation and geometry
Andrew J. Bernoff, Michael Culshaw-Maurer, Rebecca A. Everett +3
Locusts are significant agricultural pests. Under favorable environmental conditions flightless juveniles may aggregate into coherent, aligned swarms referred to as hopper bands. T…
Numerical approximation of diffusive capture rates by planar and spherical surfaces with absorbing pores
Andrew J. Bernoff, Alan E. Lindsay
In 1977 Berg & Purcell published a landmark paper entitled "Physics of Chemoreception" which examined how a bacterium can sense a chemical attractant in the fluid surrounding it. A…
Biological aggregation driven by social and environmental factors: A nonlocal model and its degenerate Cahn-Hilliard approximation
Andrew J. Bernoff, Chad M. Topaz
Biological aggregations such as insect swarms and bird flocks may arise from a combination of social interactions and environmental cues. We focus on nonlocal continuum equations,…