Turing's mechanism is often invoked to explain periodic patterns in nature, although direct
experimental support is scarce. Turing patterns form in reaction–diffusion systems when the …

This thesis is an analytical and computational treatment of Turing models, which are coupled
partial differential equations describing the reaction and diffusion behavior of chemicals …

Mathematician Alan Turing deciphered the German Enigma code during World War II and
laid the foundations of computer science as a new discipline. But toward the end of his short …

Patterns resulting from the sole interplay between reaction and diffusion are probably
involved in certain stages of morphogenesis in biological systems, as initially proposed by …

Turing's model of pattern formation has been extensively studied analytically and
numerically, and there is recent experimental evidence that it may apply in certain chemical …

During the past decades, pattern formulation with reaction–diffusion systems has attracted
great research interest. Complex networks, from single-layer networks to more complicated …

Although most networks in nature exhibit complex topologies, the origins of such complexity
remain unclear. We propose a general evolutionary mechanism based on global stability …

Synthesizing a genetic network which generates stable Turing patterns is one of the great
challenges of synthetic biology, but a significant obstacle is the disconnect between the …

Assembling objects from building blocks by means of predefined combination rules leads to
combinatorial explosions. Indeed, it does not matter how many classes of building blocks or …

Albeit their prediction by Turing, chemical periodic stationary patterns under far from
equilibrium conditions, which are considered as prototypes of dissipative structures, have …