I discuss recent work on the origins of morphology and cell-type diversification in Metazoa–
collectively the animals–and propose a scenario for how these two properties became …

Self-organization is an all-important feature of living systems that provides the means to
achieve specialization and functionality at distinct spatio-temporal scales. Herein, we review …

Traveling waves are common in biological and synthetic systems, including the recent
discovery that silver (Ag) colloids form traveling motion waves in H2O2 and under light …

The formation of spiral waves in excitable media is a fascinating example of the beauty of
nonlinear dynamics in spatiotemporal systems. Apart from the beauty of the patterns, the …

Comparative analyses of developmental processes across a broad spectrum of organisms
are required to fully understand the mechanisms responsible for the major evolutionary …

Managing lethal cardiac arrhythmias is one of the biggest challenges in modern cardiology,
and hence it is very important to understand the factors underlying such arrhythmias. While …

In this paper, we shall study a spatially extended version of the FitzHugh-Nagumo model,
where one describes the motion of the species through cross-diffusion. The motivation …

As a potentially life threatening side effect, pharmaceutical compounds may trigger cardiac
arrhythmias by impeding the heart's electrical and mechanical function. For this reason, any …

Electrical turbulence in the heart is considered the culprit of cardiac disease, including the
fatal ventricular fibrillation. Optogenetics is an emerging technology that has the capability to …

Non-linear waves occur in various physical, chemical and biological media. One of the most
important examples is electrical excitation waves in the myocardium, which initiate …