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. 2019 Jan 30;116(5):791–806. doi: 10.1016/j.bpj.2019.01.024

Table 1.

Characteristics of the Different Classes of Models Considered in This Work plus Fractional Brownian Motion

Model Class Characteristic Timescale(s) MSD Propagator
Simple diffusion no (self-similar) linear Gaussian
Fractional Brownian motion no (self-similar) power law Gaussian (nonlinear time dependance of the variance)
CTRW no (ensemble-averaged ACF self-similar), but aging produces non-self-similar time-averaged ACF linear (time average), power law (ensemble average) non-Gaussian
Two-component diffusion Relaxation time, τc = 1/(k01 + k10) linear sum of two Gaussians well below τc, Gaussian well above
Diffusing diffusivity Time required to explore diffusion space, τc = (DMDm)2/2d linear quasiexponential well below τc, Gaussian well above
Caged diffusion Cage relaxation time, τc = L2/(6D), escape time τc = τc/p linear well below τc and well above τc Gaussian well below τc and well above τc
Obstructed diffusion Average time before obstacle encounter, τc = L2/(62/3)) linear well below and well above τc Gaussian well below and well above τc