| Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model |
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| 作者姓名： | 张丽娜 吴建华 |
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| 作者单位： | [1]College of Mathematics and Information Science, Shaanxi Normal University, Xi＇an, Shaanxi, 710062, P. R. China [2]不详, Shaanxi Normal University, Xi＇an, Shaanxi, 710062, P. R. China |
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| 摘 要： | One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the＇living world. In his seminal paper ＂The Chemical Basis of Morphogenesis＂, Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates（1990） on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing＇s prediction. Lengyel and Epstein characterized this famous experiment using a system of reaction-diffusion equations. The Lengyel-Epstein model is in the form as follows
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| 关 键 词： | 反应扩散方程 生物学 定理 定量分析 Lengyel-Epstein模型 |
| 收稿时间： | 2007-08-07 |
| 修稿时间： | 2007年8月7日 |
RESEARCH ANNOUNCEMENTS Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model |
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| ZHANG Lina,WU Jianhua.Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model[J].Advances in Mathematics,2008,37(1):115-117. |
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| Authors: | ZHANG Lina WU Jianhua |
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| Abstract: | One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the living world. In his seminal paper "The Chemical Basis of Morphogenesis",Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. |
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| Keywords: | Model Solutions Qualitative Analysis Turing biological systems coupled equations used Chemical Basis Morphogenesis paper fundamental problems theoretical biology explain mechanisms patterns forms |
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