Turing pattern amplitude equation for a model glycolytic reaction-diffusion system |
| |
Authors: | A K Dutt |
| |
Institution: | 1.Faculty of Computing, Engineering and Mathematical Sciences, Du Pont Building,University of the West of England,Bristol,UK;2.Hooghly,India |
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|