Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1997 · 107 citations · 18 references
EngineeringPhysicsStochastic ProcessesDiffusion ProcessesMarkov ProcessesPoint ProcessesReaction DynamicsReaction-diffusion SystemsStatistical MechanicsGray-scott ModelReaction - Diffusion KineticsReaction - Diffusion ModelingReaction-diffusion CouplingReaction-diffusion PhenomenaReaction-diffusion Stochastic ModelsSpot PatternsStochastic Reaction-diffusion Models
In a recent article [Phys. Rev. Lett. 72, 2797 (1994)] we analyzed the phenomena of self-replicating spots in the Gray-Scott model. In this article we present those results in detail and generalize them to a class of models that derives from our heuristic explanation of spot replication.
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A theory of biological pattern formation
Alfred Gierer, Hans Meinhardt · Kybernetik · 1972 · 3.2K citations · Full text
Complex Patterns in a Simple System
John E. Pearson · Science · 1993 · 998 citations · Full text
Experimental observation of self-replicating spots in a reaction–diffusion system
Kyoung-Jin Lee, W. D. McCormick, John E. Pearson et al. · Nature · 1994 · 471 citations