The beating of the heart is a synchronized contraction of muscle cells (myocytes) that is
triggered by a periodic sequence of electrical waves (action potentials) originating in the …

An overview of various aspects related to the spectral and nonlinear stability of travelling-
wave solutions to partial differential equations is given. The point and the essential spectrum …

Our goal in this paper is to review the existing literature on homoclinic and heteroclinic
bifurcation theory for flows. More specifically, we shall focus on bifurcations from homoclinic …

Instabilities of nonlinear waves on unbounded domains manifest themselves in different
ways. An absolute instability occurs if the amplitude of localized wave packets grows in time …

A continuation approach to the computation of essential and absolute spectra of differential
operators on the real line is presented. The advantages of this approach, compared with …

Stimulation of human epileptic tissue can induce rhythmic, self-terminating responses on the
EEG or ECoG. These responses play a potentially important role in localising tissue involved …

We study the spreading of calcium-induced calcium release with the stochastic DeYoung-
Keizer-model of the inositol 1, 4, 5-trisphosphate receptor channel. The model shows a …

Two self-sustained wave regimes newly found in blood coagulation models are
discussed:(1) oscillating-amplitude self-sustained waves, and (2) waves initially propagating …

Self-organized patterns in the actin cytoskeleton are essential for eukaryotic cellular life.
They are the building blocks of many functional structures that often operate simultaneously …

Scattering of particlelike patterns in dissipative systems is studied, especially we focus on
the issue how the input-output relation is controlled at a head-on collision in the one …