Fig. 2 Inferring the diffusion equation from a single Brownian motion.

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Fig. 2 Inferring the diffusion equation from a single Brownian motion. Inferring the diffusion equation from a single Brownian motion. (A) Time series is broken into many short random walks that are used to construct histograms of the displacement. (B) Brownian motion trajectory following the diffusion equation. (C) Parameter error versus length of known time series. Blue symbols correspond to correct identification of the structure of the diffusion model ut = cuxx. Samuel H. Rudy et al. Sci Adv 2017;3:e1602614 Copyright © 2017, The Authors