Reaction-diffusion simulation model (draft)

Reaction-diffusion systems are mathematical models, derived from the work of Alan Turing in 1952. Many extensions have been proposed to the model, but originally the model consisted of two substances in certain concentrations inside a certain space, with four variables per substance: the rates of production and degradation, rate of diffusion, and the activating or inhibiting property on the reaction rates of the other substance. The model can explain formation of gradients (patterns) within the space, and has found some applications not only in chemistry but in physics, biology, ecology, epidemiology, oncology, and even in positron emission tomography.

Reaction-diffusion models are too complex (overdetermined) to be used in the analysis of PET data, but may be used to simulate data.

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Created at: 2016-03-31
Updated at: 2016-04-05
Written by: Vesa Oikonen