Channel-facilitated membrane transport. (i) We developed a general theory of fluctuations of ion current through a membrane channel due to partial blocking of the channel by translocating molecules. (ii) We developed a theory of transport of molecules through conical channels and showed that inter-particle interactions break the flux symmetry inherent in transport of non-interacting particles through such channels. Two-state protein folding. We developed a theory of two-state protein folding assuming that underlying dynamics is formulated in terms of rate equations on a network of coarse-grained discrete states of the protein. Our theory allows one to find folding and unfolding rates as well as most probable folding/unfolding pathways. Dynamics of morphogen gradients in the Drosophila Embrio. We developed a theory of signaling gradients in cascades of two-state reaction-diffusion systems that provides a new insight into the experimental observations made in Professor Shvartsman's Lab. at Princeton University. Transport in complex media with entropy traps and barriers. We developed a theory that explains anomalous dependence of the particle diffusivity on its radius for diffusion in tubes with dead ends. Diffusive escape from dendritic spines. We developed a theory that explains how the particle lifetime in a dendritic spine depends on geometric parameters of the spine, initial position of the particle, and its diffusivity in the spine neck and head.

Project Start
Project End
Budget Start
Budget End
Support Year
2
Fiscal Year
2009
Total Cost
$87,639
Indirect Cost
Name
Center for Information Technology
Department
Type
DUNS #
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Berezhkovskii, Alexander M; Makarov, Dmitrii E (2018) Communication: Transition-path velocity as an experimental measure of barrier crossing dynamics. J Chem Phys 148:201102
Berezhkovskii, Alexander M; Bezrukov, Sergey M (2018) Stochastic Gating as a Novel Mechanism for Channel Selectivity. Biophys J 114:1026-1029
Berezhkovskii, Alexander M; Makarov, Dmitrii E (2018) Single-Molecule Test for Markovianity of the Dynamics along a Reaction Coordinate. J Phys Chem Lett 9:2190-2195
Skvortsov, Alexei T; Berezhkovskii, Alexander M; Dagdug, Leonardo (2018) Trapping of diffusing particles by short absorbing spikes periodically protruding from reflecting base. J Chem Phys 149:044106
Berezhkovskii, Alexander M; Bezrukov, Sergey M (2018) Effect of stochastic gating on the flux through a membrane channel: a steady-state approach. J Phys Condens Matter 30:254006
Dagdug, Leonardo; Berezhkovskii, Alexander M; Zitserman, Vladimir Yu (2018) Note: Diffusion-limited annihilation in cavities. J Chem Phys 148:246101
Berezhkovskii, Alexander M; Bezrukov, Sergey M (2018) Mapping Intrachannel Diffusive Dynamics of Interacting Molecules onto a Two-Site Model: Crossover in Flux Concentration Dependence. J Phys Chem B :
Skvortsov, Alexei T; Berezhkovskii, Alexander M; Dagdug, Leonardo (2018) Trapping of diffusing particles by spiky absorbers. J Chem Phys 148:084103
Berezhkovskii, Alexander M; Makarov, Dmitrii E (2017) Communication: Coordinate-dependent diffusivity from single molecule trajectories. J Chem Phys 147:201102
Berezhkovskii, Alexander M; Dagdug, Leonardo; Bezrukov, Sergey M (2017) Mean Direct-Transit and Looping Times as Functions of the Potential Shape. J Phys Chem B 121:5455-5460

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