Titlebook: Reaction-Transport Systems; Mesoscopic Foundatio Vicen? Méndez,Sergei Fedotov,Werner Horsthemke Book 2010 Springer-Verlag Berlin Heidelberg

lipoatrophy

Persistence and Extinction of Populations in Finite Domainsuch models are important from an ecological point of view, since they describe population dynamics in island habitats. The main problem consists in determining the critical patch size, i.e., the smallest patch that can minimally sustain a population. As expected intuitively, the critical patch size

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Chemical and Biological Applications of Turing Systemsed little attention for about two decades, as shown by the citation histogram in Fig. 12.1. One of the first scientists to be intrigued by Turing’s ideas was Wardlaw, a botanist who thought about ways to test the mechanism experimentally [468, 470, 469]. By the early 1970s theoretical biologists and

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Robust

gerrymander

Reaction Kineticsl gradients. Or the spatial homogeneity may be imposed from the outside, for example by stirring in chemical reactors. In the following we collect some basic facts about rate equations and discuss various model schemes whose dynamics we investigate in later chapters.

CLAMP

RandomWalks and Mesoscopic Reaction–Transport Equationson the idea that one can introduce mean-field equations for the particle density involving a detailed description of the movement of particles on the . level. At the same time, random fluctuations around the mean behavior can be neglected due to a large number of individual particles.

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Turing Instabilities in Homogeneous Systemsnonequilibrium systems. The interplay of diffusion with nonlinear kinetics can destabilize the uniform steady state of reaction–diffusion systems and generate stable, stationary concentration patterns.