Reaction–diffusion systems form a foundational class of mathematical models that describe how the concentration of one or more chemical substances distributed in space changes under the influence of ...

First proposed by Turing in 1952, the eponymous Turing instability and Turing pattern remain key tools for the modern study of diffusion-driven pattern formation. In spatially homogeneous Turing ...

Observing nature shows that many temporal and spatial structures are not formed by the outside, but rather by the respective system itself. To study these self-organizing processes is the subject of ...

We consider the classical Turing instability in a reaction-diffusion system as the secend part of our study on pattern formation. We prove that nonlinear dynamics of a general perturbation of the ...

How are simple embryonic structures able to produce the varied and complex manifestations of living nature" Scientists in Freiburg have now identified proteins which regulate the pattern of hair ...

A team of researchers in Freiburg have revealed the molecular mechanism which regulates pattern formation in the spacing and density of hair follicles. How are simple embryonic structures able to ...