How a protein searches for its site on DNA: the mechanism of facilitated diffusion

By Leonid A. Mirny, Michael Slutsky, Zeba Wunderlich, Anahita Tafvizi, Jason S. Leith, A. Košmrlj. 2009

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Stochastic models of intracellular transport (2013, methodology): “…is r = 1/p = N/n. Assuming that 1D sliding occurs via normal diffusion, then nb = 2 √ D1τ1 where D1 is the 1D diffusion coefficient, and we have (Mirny et al., 2009) τ = N n (τ1 + τ3), n = 2 √ D1τ1/b. (2.86) Since τ3 depends primarily on the cellular environment and is thus unlikely to vary…”
Optimal diffusive search: nonequilibrium resetting versus equilibrium dynamics (2012, result): “A protein efficiently localizes a specific DNA sequence by alternating 1d sliding phases with free 3d diffusion (‘relocation phases’): this mechanism of ‘facilitated diffusion’, first proposed by Adam and Delbrück [1], enhances the association rate by two orders of magnitude as compared to the diffu”