The book provides an introduction to deterministic (and some stochastic) modeling of
spatiotemporal phenomena in ecology, epidemiology, and neural systems. A survey of the …

The article focuses on the issue of a spatiotemporal excitable biophysical model that
describes the propagation of electrical potential called spikes to model the diffusion-induced …

In this article, an analytical approach is demonstrated to show the emerging traveling pulses
for the local evolution of a set of diffusively coupled dynamical equations representing …

Evidence from experimental studies shows that oscillations due to electro-mechanical
coupling can be generated spontaneously in smooth muscle cells. Such cellular dynamics …

In this article, we report on the generation and propagation of traveling pulses in a
homogeneous network of diffusively coupled, excitable, slow-fast dynamical neurons. The …

Spatiotemporal patterns are common in biological systems. For electrically coupled cells,
previous studies of pattern formation have mainly used applied current as the primary …