Turing model for generating biological patterns
| Autor: | Ruey-Tarng Liu, 劉瑞堂 |
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| Rok vydání: | 2007 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 95 In 1952, A. M. Turing[1] proposed that the reaction-diffusion system could explain the main phenomena of biological morphogenesis. Unfortunately, he died in 1954. However, Turing’s intriguing ideas influenced the thinking of theoretical biologists and scientists of many fields. The Turing mechanism has been successfully used for generating patterns in mammals[2,3], fish[4-6], bacterial colonies[7-9], phyllotaxis[10,11] and many others. We simulate the patterns on the elytras of the lady beetles using a reaction-diffusion equation with two types of morphogens based on the Turing model[12]. A part of a half spherical surface is used to approximate the geometry of the hard wings.Various patterns common to lady beetles in Taiwan can be produced on this curved surface. A complex system like the leopard’s skin marking still offers an optimal level of challenge for generating it, even though previous simulations using a one-stage Turing model[13-16] might have produced final rosette patterns similar the patterns of real leopards. Based on the results of phylogenetic analysis, which showed that flecks are the primitive pattern of the felid family and all other patterns including rosettes and blotches develop from it[17], we construct a two-stage Turing reaction-diffusion model[18] which generates spot patterns initially. In the first stage, spots are generated in a similar manner for both the leopard cub and the jaguar cub. In the second stage, we tune model paraments to generate, separately, the sequence of patterns transformation during the growth of the animals. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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