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 …

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

Spiral waves represent an important example of dissipative structures observed in many
distributed systems in chemistry, biology and physics. By definition, excitable media occupy …

Continuous wave emitting from sinus node of the heart plays an important role in wave
propagating among cardiac tissue, while the heart beating can be terminated when the …

Spatial epidemiology is the study of spatial variation in disease risk or incidence, including
the spatial patterns of the population. The spread of diseases in human populations can …

Spiral waves lead to dangerous arrhythmias in the cardiac system. In 2015 Burton et al.
demonstrated the reversal of the spiral wave chirality through the rotating spiral-shaped …

Turbulent vortex structures emerging in bacterial active fluids can be organized into regular
vortex lattices by weak geometrical constraints such as obstacles. Here we show, using a …

Feedback control of spiral waves by the signal derived from a moving measuring point is
investigated in the two-dimensional FitzHugh–Nagumo model, where the measuring …

Abstract Photochemically coupled Belousov-Zhabotinsky micro-oscillators are studied in
experiments and simulations. Generally good agreement between the experimental and …

We introduce a two-variable system of reaction–diffusion equations for excitable media. We
numerically investigate the existence and stability of periodic traveling wave solutions in a …