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Turing’s Theory of Morphogenesis: Where We Started, Where We Are and Where We Want to Go

  • Thomas E. Woolley
  • Ruth E. Baker
  • Philip K. Maini
Chapter
Part of the Theory and Applications of Computability book series (THEOAPPLCOM)

Abstract

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 unfortunate death two years later, his work has not gone unnoticed. Indeed, many researchers have since taken up the gauntlet and extended his revolutionary and counter-intuitive ideas. Here, we reproduce the basics of his theory as well as review some of the recent generalisations and applications that have led our mathematical models to be closer representations of the biology than ever before. Finally, we take a look to the future and discuss open questions that not only show that there is still much life in the theory, but also that the best may be yet to come.

Keywords

Domain Growth Turing Pattern Stochastic Simulation Algorithm Turing Instability Homogeneous Steady State 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

TEW would like to thank St John’s College Oxford for its financial support. This publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). The cheetah and lemur photos were used under the Attribution-ShareAlike 2.0 license and were downloaded from http://www.flickr.com/photos/53936799@N05/ and http://www.flickr.com/photos/ekilby/.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Thomas E. Woolley
    • 1
  • Ruth E. Baker
    • 1
  • Philip K. Maini
    • 1
  1. 1.Wolfson Centre for Mathematical Biology, Mathematical InstituteUniversity of OxfordOxfordUK

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