While amplification of small perturbations often arises from instability, transient amplification is possible locally even in asymptotically stable systems. That is, knowledge of a system's stability properties can mislead one's intuition for its transient behaviors. This insight, which has an interesting history in fluid dynamics, has more recently been rediscovered in ecology. Surprisingly, many nonlinear fluid dynamical and ecological systems share linear features associated with transient amplification of noise. This paper aims to establish that these features are widespread in many other disciplines concerned with noisy systems, especially chemistry, cell biology and molecular biology. Here, using classic nonlinear systems and the graphical language of network science, we explore how the noise amplification problem can be reframed in terms of activatory and inhibitory interactions between dynamical variables. The interaction patterns considered here are found in a great variety of systems, ranging from autocatalytic reactions and activator–inhibitor systems to influential models of nerve conduction, glycolysis, cell signaling and circadian rhythms.
Amplification without instability: applying fluid dynamical insights in chemistry and biology
New Journal of Physics (Online) ; 15 , 11 ; 113036/1-113036/13
2013
13 Seiten, 48 Quellen
Aufsatz (Zeitschrift)
Englisch
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