A new model is presented of a patterning mechanism in animals. It is argued that the ‘Wnt’ signaling pathway often acts in binary conjunction with a variety of other pathways to produce complex patterning. This patterning follows while involving little of the detailed biochemistry of either...

The formation and dynamics of long living metastable structures, the pressure tensor and diffusion properties of a simple particle system confined by a (infinite) nanopore with rectangular cross section is investigated using molecular dynamics simulation. The system is characterized by a short...

We present an experimental study about the Faraday instability using a highly dissipative fluid. The fluid layer is excited with a vertical periodic acceleration field. In this regimen of high viscosity and shallow fluid depth, we have found two very interesting phenomena. On the one hand, we...

We study the patterns formed by adding N sand grains at a single site in the abelian sandpile model on an infinite square lattice, when in the initial configuration all sites have same height. When this height is 2, stable heights being 0–3, we show that the perturbed region is a square, whose...

We recently proposed a mechanism for inducing a Turing instability by alternation of reaction–diffusion dynamics each of which is pattern-free. Herein we shed light on the question of which particular switching schemes produce that instability and which do not. We also consider a particular...

We study the pattern dynamics in a reaction–diffusion model of the activator–inhibitor type in the oscillatory regime. We consider finite systems with partially absorptive boundary conditions analysing examples in different geometries in one and two dimensions. We observe that the boundary...