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"The Chemical Basis of Morphogenesis" is an article written by the English mathematician Alan Turing in 1952 describing the way in which non-uniformity (natural patterns such as stripes, spots and spirals) may arise naturally out of a homogeneous, uniform state. The theory (which can be called a reaction–diffusion theory of morphogenesis), has served as a basic model in theoretical biology,〔L.G. Harrison, Kinetic Theory of Living Pattern, Cambridge University Press (1993)〕 and is seen by some as the very beginning of chaos theory.〔 Gribbin, John. Deep Simplicity. Random House 2004.〕 ==Reaction–diffusion systems== (詳細はReaction–diffusion systems have attracted much interest as a prototype model for pattern formation. The above-mentioned patterns (fronts, spirals, targets, hexagons, stripes and dissipative solitons) can be found in various types of reaction-diffusion systems in spite of large discrepancies e.g. in the local reaction terms. It has also been argued that reaction-diffusion processes are an essential basis for processes connected to animal coats and skin pigmentation.〔H. Meinhardt, Models of Biological Pattern Formation, Academic Press (1982)〕〔J. D. Murray, Mathematical Biology, Springer (1993)〕 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.〔P. Grindrod, Patterns and Waves: The Theory and Applications of Reaction-Diffusion Equations, Clarendon Press (1991)〕〔J. Smoller, Shock Waves and Reaction Diffusion Equations, Springer (1994)〕〔B. S. Kerner and V. V. Osipov, Autosolitons. A New Approach to Problems of Self-Organization and Turbulence, Kluwer Academic Publishers. (1994)〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「The Chemical Basis of Morphogenesis」の詳細全文を読む スポンサード リンク
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