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

Krause, Andrew L.; Gaffney, Eamonn A; Maini, Philip K.; Klika, Václav

doi:10.1098/rsta.2020.0280

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Authors

Dr Andrew Krause andrew.krause@durham.ac.uk
Assistant Professor

Eamonn A Gaffney

Philip K. Maini

Václav Klika

Abstract

Elucidating pattern forming processes is an important problem in the physical, chemical and biological sciences. Turing’s contribution, after being initially neglected, eventually catalysed a huge amount of work from mathematicians, physicists, chemists and biologists aimed towards understanding how steady spatial patterns can emerge from homogeneous chemical mixtures due to the reaction and diffusion of different chemical species. While this theory has been developed mathematically and investigated experimentally for over half a century, many questions still remain unresolved. This theme issue places Turing’s theory of pattern formation in a modern context, discussing the current frontiers in foundational aspects of pattern formation in reactiondiffusion and related systems. It highlights ongoing work in chemical, synthetic and developmental settings which is helping to elucidate how important Turing’s mechanism is for real morphogenesis, while highlighting gaps that remain in matching theory to reality. The theme issue also surveys a variety of recent.

Citation

Krause, A. L., Gaffney, E. A., Maini, P. K., & Klika, V. (2021). Introduction to ‘Recent progress and open frontiers in Turing’s theory of morphogenesis’. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379(2213), https://doi.org/10.1098/rsta.2020.0280

Journal Article Type	Article
Acceptance Date	Aug 23, 2021
Online Publication Date	Nov 8, 2021
Publication Date	2021
Deposit Date	Feb 21, 2022
Publicly Available Date	Feb 21, 2022
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Print ISSN	1364-503X
Electronic ISSN	1471-2962
Publisher	The Royal Society
Peer Reviewed	Peer Reviewed
Volume	379
Issue	2213
DOI	https://doi.org/10.1098/rsta.2020.0280

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