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Boundedness and exponential stabilization in a signal transduction model with diffusion

✍ Scribed by Michael Winkler

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
153 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The influence of diffusion in a model arising in the description of signal transduction pathways in living cells is investigated. It is proved that all solutions of the corresponding semilinear parabolic system, consisting of four equations, are global in time and bounded. Under the additional assumption that certain two of the diffusion coefficients are equal, it is furthermore demonstrated that all solutions approach a spatially homogeneous steady state as tβ€‰β†’β€‰βˆž. This equilibrium is uniquely determined by the initial data, and the rate of convergence is shown to be at least exponential. Copyright Β© 2008 John Wiley & Sons, Ltd.

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