Forging patterns and making waves from biology to geology: a commentary on Turing (1952)'The chemical basis of morphogenesis'

P Ball - Philosophical Transactions of the Royal Society …, 2015 - royalsocietypublishing.org
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 …

Introduction to 'Recent progress and open frontiers in Turing's theory of morphogenesis'

AL Krause, EA Gaffney… - … Transactions of the …, 2021 - royalsocietypublishing.org
Elucidating pattern forming processes is an important problem in the physical, chemical and
biological sciences. Turing's contribution, after being initially neglected, eventually catalysed …

Turing's theory of morphogenesis: where we started, where we are and where we want to go

TE Woolley, RE Baker, PK Maini - The Incomputable: Journeys Beyond the …, 2017 - Springer
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 …

Vegetation pattern formation: The mechanisms behind the forms

E Meron - Physics Today, 2019 - pubs.aip.org
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 …

Discussion: Turing's theory of morphogenesis—its influence on modelling biological pattern and form

JD Murray - Bulletin of Mathematical Biology, 1990 - Springer
The evolution of spatial pattern is a central issue in developmental biology. Turing's (Phil.
Trans. R. Soc. Lond. B237, 37–72, 1952) chemical theory of morphogenesis is a seminal …

Studies of Turing pattern formation in zebrafish skin

S Kondo, M Watanabe… - … Transactions of the …, 2021 - royalsocietypublishing.org
Skin patterns are the first example of the existence of Turing patterns in living organisms.
Extensive research on zebrafish, a model organism with stripes on its skin, has revealed the …

Turing patterns: from myth to reality

J Boissonade, E Dulos, P De Kepper - Chemical waves and patterns, 1995 - Springer
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 …

[HTML][HTML] After 1952: The later development of Alan Turing's ideas on the mathematics of pattern formation

JHP Dawes - Historia mathematica, 2016 - Elsevier
The paper 'The chemical basis of morphogenesis'[Phil. Trans. R. Soc. Lond. B 237, 37–72
(1952)] by Alan Turing remains hugely influential in the development of mathematical …

Turing pattern with proportion preservation

S Ishihara, K Kaneko - Journal of theoretical biology, 2006 - Elsevier
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 …

Beyond Turing: far-from-equilibrium patterns and mechano-chemical feedback

F Veerman, M Mercker… - … Transactions of the …, 2021 - royalsocietypublishing.org
Turing patterns are commonly understood as specific instabilities of a spatially
homogeneous steady state, resulting from activator–inhibitor interaction destabilized by …