A comprehensive review of spatiotemporal pattern formation in systems driven away from
equilibrium is presented, with emphasis on comparisons between theory and quantitative …

We review the behavior of theoretical models of excitable systems driven by Gaussian white
noise. We focus mainly on those general properties of such systems that are due to noise …

This book is focused on a powerful numerical methodology for solving PDEs to high
accuracy in any number of dimensions: Radial Basis Functions (RBFs). During the past …

This paper presents the basic concepts and the module structure of the Distributed and
Unified Numerics Environment and reflects on recent developments and general changes …

Pattern formation in physical systems is one of the major research frontiers of mathematics.
A central theme of this book is that many instances of pattern formation can be understood …

In nature, microorganisms must often cope with hostile environmental conditions. To do so
they have developed sophisticated cooperative behaviour and intricate communication …

In this chapter we have presented mathematical modeling approaches to biological pattern
formation. While reaction-diffusion models are appropriate to describe the spatio-temporal …

More than five years have passed since the first edition of this book was published. Surface
science is still a very active field of research, and the fact that the Nobel Prize 2007 in …

We present a dynamical observer for two dimensional partial differential equation models
describing excitable media, where the required cross prediction from observed time series to …

Spiral waves in diverse excitable media exhibit strikingly variegated behavior. Mechanistic
interpretations of excitability in laboratory systems are commonly tested by comparing the …