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The transition rates to the immediate neighbours are built by a diffusion approximation.
He then set up the chain-binomial model for a simple population (often now incorrectly called the Wright Fisher model), treating it by a diffusion approximation (thereby inventing stochastic diffusion theory in the process) and deriving partial differential equations for the study of gene-frequency distributions in populations of finite size.
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This is a stochastic process, whose rate constant is given by in a diffusion approximation valid for Δ F ≪ 1 [ 37].
An example of multiplicative noise that vanishes at A = 0 is obtained by carrying out a diffusion approximation of the neural master equation previously introduced by Buice et al. [46, 54] (see Bressloff [55, 56]).
In this regard, we compared SGD to the method by Golightly et al. [ 31], who used a diffusion approximation to calculate the transition density.
To study long-term survival of A1, we employ a diffusion approximation.
It treated the pioneering model as a diffusion approximation [ 14], and produced more accurate predictions over the relatively slow regime.
∂a∂i is a powerful tool for fitting population genetic models to the joint allele frequency spectrum (FS) using a diffusion approximation [ 23].
This would require extensive numerical work, along with a derivation of a diffusion approximation to the mean extinction time for tight linkage.
Based on these derivations, a model has been established to characterize the speckle contrast in the spatial frequency domain using a diffusion approximation to correlation transport.
The first model under consideration (Martin et al. 2013) uses a diffusion approximation to model density-independent population dynamics in discrete or continuous time (Fig. 2A).
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