Turing's Pioneering Paper "The Chemical Basis of Morphogenesis" and the 
Subsequent Development of Theories of Biological Pattern Formation

Meinhardt, H

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Turing's Pioneering Paper "The Chemical Basis of Morphogenesis" and the Subsequent Development of Theories of Biological Pattern Formation

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Meinhardt, H
Department Integrative Evolutionary Biology, Max Planck Institute for Developmental Biology, Max Planck Society;

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http://curation.cs.manchester.ac.uk/Turing100/www.turing100.manchester.ac.uk/speakers/invited-list/11-speakers/68-hans.html
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Meinhardt, H. (2012). Turing's Pioneering Paper "The Chemical Basis of Morphogenesis" and the Subsequent Development of Theories of Biological Pattern Formation. Talk presented at The Alan Turing Centenary Conference. Manchester, UK. 2012-06-22 - 2012-06-25.

Cite as: https://hdl.handle.net/21.11116/0000-000B-239C-E

Abstract

In his pioneering work Alan Turing has shown that de-novo pattern formation is possible if two substances interact that differ in their diffusion range. Later we have shown that pattern formation is possible if and only if a self-enhancing reaction is coupled with an antagonistic process of longer range. Knowing this crucial condition has enabled us to include non-linear interactions, which are required to design molecularly-realistic interactions. Different reaction schemes and their relation to Turing's proposal are discussed and compared with more recent observations on the molecular-genetic level. An almost forgotten part of Turing's paper deals with three-component systems that allow the generation of time-dependent spatial patterns that never reach a stable steady state. In contrast to Turing's expectation, it will be shown that these patterns play a crucial role in very different biological situations.