Abstract

We have continued working on transport in disordered media, in particular concentrating on the theory of comb models. These have a simple mathematical structure but reproduce many features observed in experiments. A second study undertaken in the past year is that of the effects of constraints on random walks. These are being studied in the context of polymer chains whose ends are pinned. We have developed a theory of first passage times for a significant class of non-Markovian processes in the presence of absorbing barriers. Together with Dr. Szabo we are writing either a long review or a short book on the theory of reaction rates in chemical physics.

  Funding Agency

Agency
National Institute of Health (NIH)
Institute
Center for Information Technology (CIT)
Type
Intramural Research (Z01)
Project #
1Z01CT000024-12
Application #
3939783
Study Section
Project Start
Project End
Budget Start
Budget End
Support Year
12
Fiscal Year
1987
Total Cost
Indirect Cost

  Institution

Name
Computer Research and Technology
Department
Type
DUNS #
City
State
Country
United States
Zip Code

  Publications

Shvartsman, Stanislav Y; Coppey, Mathieu; Berezhkovskii, Alexander M (2008) Dynamics of maternal morphogen gradients in Drosophila. Curr Opin Genet Dev 18:342-7
Vazquez, Marco-Vinicio; Berezhkovskii, Alexander M; Dagdug, Leonardo (2008) Diffusion in linear porous media with periodic entropy barriers: A tube formed by contacting spheres. J Chem Phys 129:046101
Berezhkovskii, Alexander M; Bezrukov, Sergey M (2008) Fluctuation theorem for channel-facilitated membrane transport of interacting and noninteracting solutes. J Phys Chem B 112:6228-32
Berezhkovskii, Alexander M; Weiss, George H (2008) Propagators and related descriptors for non-Markovian asymmetric random walks with and without boundaries. J Chem Phys 128:044914
Berezhkovskii, Alexander M; Bezrukov, Sergey M (2008) Counting translocations of strongly repelling particles through single channels: fluctuation theorem for membrane transport. Phys Rev Lett 100:038104
Coppey, Mathieu; Boettiger, Alistair N; Berezhkovskii, Alexander M et al. (2008) Nuclear trapping shapes the terminal gradient in the Drosophila embryo. Curr Biol 18:915-9
Berezhkovskii, A M; Pustovoit, M A; Bezrukov, S M (2007) Diffusion in a tube of varying cross section: numerical study of reduction to effective one-dimensional description. J Chem Phys 126:134706
Berezhkovskii, A M; Barzykin, A V (2007) Simple formulas for the trapping rate by nonspherical absorber and capacitance of nonspherical conductor. J Chem Phys 126:106102
Coppey, Mathieu; Berezhkovskii, Alexander M; Kim, Yoosik et al. (2007) Modeling the bicoid gradient: diffusion and reversible nuclear trapping of a stable protein. Dev Biol 312:623-30
Bezrukov, Sergey M; Berezhkovskii, Alexander M; Szabo, Attila (2007) Diffusion model of solute dynamics in a membrane channel: mapping onto the two-site model and optimizing the flux. J Chem Phys 127:115101

Showing the most recent 10 out of 32 publications