In 1952, Alan Turing proposed a theory showing how morphogenesis could occur from a
simple two morphogen reaction–diffusion system [Turing, AM (1952) Phil. Trans. R. Soc …

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 …

Animal pigment patterns are excellent models to elucidate mechanisms of biological
organization. Although theoretical simulations, such as Turing reaction–diffusion systems …

Vertebrate groups have evolved strikingly diverse color patterns. However, it remains
unknown to what extent the diversification of such patterns has been shaped by the …

Self-organized spatial patterns are increasingly recognized for their contribution to
ecosystem functioning, in terms of enhanced productivity, ecosystem stability, and species …

Turing's theory of pattern formation is a universal model for self-organization, applicable to
many systems in physics, chemistry, and biology. Essential properties of a Turing system …

A framework to produce an optimized infill structure for 3D-printed curvilinear fiber-
reinforced polymer composites is proposed. The material orientation was optimized first to …

During multicellular development, periodic spatial patterning systems generate repetitive
structures, such as digits, vertebrae, and teeth. Turing patterning provides a foundational …

Many species have cuticular striations that play a range of roles, from pollinator attraction to
surface wettability. In Hibiscus trionum, the striations span multiple cells at the base of the …

A computationally efficient dehomogenization technique was developed based on a
bioinspired diffusion-based pattern generation algorithm to convert an orientation field into …