Journal of Mathematical Chemistry

, Volume 48, Issue 4, pp 841–855 | Cite as

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

  • A. K. DuttEmail author
Original Paper


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.


Turing patterns Reaction-Diffusion systems Amplitude equation Glycolytic oscillations 


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Faculty of Computing, Engineering and Mathematical Sciences, Du Pont BuildingUniversity of the West of EnglandBristolUK
  2. 2.HooghlyIndia

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