Contents 1 Reaction–diffusion systems 2 See also 3 References 4 External links


Reaction–diffusion systems[edit] 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. Reaction-diffusion processes form one class of explanation for the embryonic development of animal coats and skin pigmentation.[3][4] Another reason for the interest in reaction-diffusion systems is that although they represent nonlinear partial differential equations, there are often possibilities for an analytical treatment.[5][6][7]


See also[edit] Evolutionary developmental biology


References[edit] ^ Turing, A. M. (1952). "The Chemical Basis of Morphogenesis" (PDF). Philosophical Transactions of the Royal Society of London B. 237 (641): 37–72. doi:10.1098/rstb.1952.0012. JSTOR 92463.  ^ L.G. Harrison, Kinetic Theory of Living Pattern, Cambridge University Press (1993) ^ Meinhardt, H. (1982). Models of Biological Pattern Formation. Academic Press.  ^ Murray, James D. (9 March 2013). Mathematical Biology. Springer Science & Business Media. pp. 436–450. ISBN 978-3-662-08539-4.  ^ Grindrod, P. Patterns and Waves: The Theory and Applications of Reaction-Diffusion Equations, Clarendon Press (1991) ^ Smoller, J. Shock Waves and Reaction Diffusion Equations, Springer (1994) ^ Kerner, B. S. and Osipov, V. V. Autosolitons. A New Approach to Problems of Self-Organization and Turbulence, Kluwer Academic Publishers. (1994)


External links[edit] Turing, Alan M. (14 August 1952). "The Chemical Basis of Morphogenesis". Philosophical Transactions of the Royal Society of London B. 237 (641). pp. 37–72. doi:10.1098/rstb.1952.0012.  Retrieved from "https://en.wikipedia.org/w/index.php?title=The_Chemical_Basis_of_Morphogenesis&oldid=811881910" Categories: 1952 in England1952 documentsMathematical modelingParabolic partial differential equationsBiological processesChaos theoryWorks by English peopleAlan TuringMathematics papers


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