The Chemical Basis of Morphogenesis

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giant pufferfish
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"The Chemical Basis of Morphogenesis" is an article that the English mathematician

theoretical biology.[2] Such patterns have come to be known as Turing patterns. For example, it has been postulated that the protein VEGFC can form Turing patterns to govern the formation of lymphatic vessels in the zebrafish embryo.[3]

Reaction–diffusion systems

Main article: Reaction–diffusion system

Reaction–diffusion systems have attracted much interest as a prototype model for pattern formation. Patterns such as fronts, spirals, targets, hexagons, stripes and dissipative solitons are found in various types of reaction-diffusion systems in spite of large discrepancies e.g. in the local reaction terms. Such patterns have been dubbed "Turing patterns".[4]

Reaction–diffusion processes form one class of explanation for the

partial differential equations, there are often possibilities for an analytical treatment.[7][8][9]

See also

References

  1. S2CID 120437796
    .
  2. ^ Harrison, L.G. (1993). Kinetic Theory of Living Pattern. Cambridge University Press.
  3. PMID 30607882
    .
  4. ISBN 978-0198747826
    .
  5. ^ Meinhardt, H. (1982). Models of Biological Pattern Formation. Academic Press.
  6. ISBN 978-3-662-08539-4
    .
  7. ^ Grindrod, P. Patterns and Waves: The Theory and Applications of Reaction-Diffusion Equations, Clarendon Press (1991)
  8. ^ Smoller, J. Shock Waves and Reaction Diffusion Equations, Springer (1994)
  9. Kluwer Academic Publishers
    (1994).
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