Turing pattern amplitude equation for a model glycolytic reaction-diffusion system

被引:0
作者
A. K. Dutt
机构
[1] University of the West of England,Faculty of Computing, Engineering and Mathematical Sciences, Du Pont Building
来源
Journal of Mathematical Chemistry | 2010年 / 48卷
关键词
Turing patterns; Reaction-Diffusion systems; Amplitude equation; Glycolytic oscillations;
D O I
暂无
中图分类号
学科分类号
摘要
For a reaction-diffusion system of glycolytic oscillations containing analytical steady state solution in complicated algebraic form, Turing instability condition and the critical wavenumber at the Turing bifurcation point, have been derived by a linear stability analysis. In the framework of a weakly nonlinear theory, these relations have been subsequently used to derive an amplitude equation, which interprets the structural transitions and stability of various forms of Turing structures. Amplitude equation also conforms to the expectation that time-invariant amplitudes are independent of complexing reaction with the activator species.
引用
收藏
页码:841 / 855
页数:14
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