This project involves collaborative work with NIH scientists, in which sophisticated mathematical tools or an acquaintance with theoretical methods in the physical sciences are required for the research. The problems dealt with here are generalizations of those suggested by investigations dealt with under the heading of Instrumental Analysis.

National Institute of Health (NIH)
Center for Information Technology (CIT)
Intramural Research (Z01)
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Computer Research and Technology
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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
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
Dagdug, Leonardo; Berezhkovskii, Alexander M; Makhnovskii, Yurii A et al. (2007) Transient diffusion in a tube with dead ends. J Chem Phys 127:224712
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

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