This is a brief account of Turing's ideas on biological pattern and the events that led to their
wider acceptance by biologists as a valid way to investigate developmental pattern, and of …

How spatial patterning arises in biological systems is still an unresolved mystery. Here, we
consider the first model for spatial pattern formation, proposed by Alan Turing, which …

Cells can self-organize in time and space forming biological patterns [1]. Examples of
pattern formation in biology are very diverse and can be found in a wide variety of tissues …

Although Turing pattern is one of the most universal mechanisms for pattern formation, in its
standard model the number of stripes changes with the system size, since the wavelength of …

393 This journal is q 2012 The Royal Society to date by considering key pathways that have
been identified as having appropriate activator–inhibitor kinetics for a Turing-type patterning …

Over 60 years have passed since Alan Turing first postulated a mechanism for biological
pattern formation. Although Turing did not have the chance to extend his theories before his …

Alan Turing was neither a biologist nor a chemist, and yet the paper he published in
1952,'The chemical basis of morphogenesis', on the spontaneous formation of patterns in …

From the spiraling florets of sunflowers to the vivid stripes of the zebra, periodic patterns
abound in nature. But how can such patterns, so complex and diverse, arise during the …

Elucidating pattern forming processes is an important problem in the physical, chemical and
biological sciences. Turing's contribution, after being initially neglected, eventually catalysed …

Besides classical equilibrium structures, such as solid state crystals, nature exhibits a
number of dissipative structures in systems kept far from equilibrium by permanent driving …