32 citations · 57 across the 6 of their papers we have counts for
7 papers
Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities
Alexander M. Berezhkovskii, Kevin Song, Dmitrii E. Makarov
More than 80 years ago Kramers published a paper calculating how fast a Brownian particle escapes from a potential well over an activation barrier. Since then Kramers' model has be…
The significance of fuzzy boundaries of the barrier regions in single-molecule measurements of failed barrier crossing attempts
Alexander M. Berezhkovskii, Dmitrii E. Makarov
A recent experimental study reports on measuring the temporal duration and the spatial extent of failed attempts to cross an activation barrier (i.e., "loops") for a folding transi…
Blocker effect on diffusion resistance of a membrane channel. Dependence on the blocker geometry
Leonardo Dagdug, Alexei T. Skvortsov, Alexander M. Berezhkovskii +1
Being motivated by recent progress in nanopore sensing, we develop a theory of the effect of large analytes, or blockers, trapped within the nanopore confines, on diffusion flow of…
Surface-Facilitated Trapping by Active Sites: From Catalysts to Viruses
Mikita M. Misiura, Alexander M. Berezhkovskii, Sergey M. Bezrukov +1
Trapping by active sites on surfaces plays important roles in various chemical and biological processes, including catalysis, enzymatic reactions, and viral entry into host cells.…
Crowding breaks the forward/backward symmetry of transition times in biased random walks
Jaeoh Shin, Alexander M. Berezhkovskii, Anatoly B. Kolomeisky
Microscopic mechanisms of natural processes are frequently understood in terms of random walk models by analyzing local particle transitions. This is because these models properly…
Time and length scales of autocrine signals in three dimensions
Mathieu Coppey, Alexander M. Berezhkovskii, Stuart C. Sealfon +1
A model of autocrine signaling in cultures of suspended cells is developed on the basis of the effective medium approximation. The fraction of autocrine ligands, the mean and distr…
Irreversibble Bimolecular Reactions of Langevin Particles
D. J. Bicout, A. M. Berezhkovskii, Attila Szabo
The reaction A+B --> B is studied when the reactants diffuse in phase space, i.e. their dynamics is described by the Langevin equation. The steady-state rate constants are calculat…