David Iron; Department of Mathematics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada, John Rumsey; Faculty of Management, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada,â€¦ (More)

An asymptotic reduction of the Gierer Meinhardt activator-inhibitor system in the limit of large inhibitor diiusivity leads to a singularly perturbed non-local reaction diiusion equation for theâ€¦ (More)

In this article, we consider a class of bi-stable reaction-diffusion equations in two components on the real line. We assume that the system is singularly perturbed, i.e. that the ratio of theâ€¦ (More)

In this paper, we study the spectra of asymmetric spike solutions to the Gierer-Meinhardt system. It has previously been shown that the spectra of such solutions may be determined by finding theâ€¦ (More)

In this paper we construct and analyze a model of cell receptor aggregation. Experiments have shown that receptors in an aggregated state have greatly reduced mobility. We model the effects of thisâ€¦ (More)