41 citations · 95 across the 10 of their papers we have counts for
10 papers
Coupling of diffusion and reaction in a thin cylindrical tube: Methodological drawbacks of the Fick--Jacobs approach
Sergey D. Traytak, Timofey V. Fedoseev
We investigate a problem, that describes coupling between diffusion and reaction inside a thin circular cylindrical tube. The asymptotic solution of the posed problem is derived by…
Diffusion-controlled reaction rate to an active site in a spherical cavity: Extension of Berg's theory
Sergey D. Traytak, Georgiy A. Babushkin
This study is due to various applications in physics, chemistry and especially in biology, where both bounded configuration domain and chemical anisotropy could play a great part.…
The generalized method of separation of variables for diffusion-influenced reactions: Irreducible Cartesian tensors technique
Sergey D. Traytak
Motivated through various applications of the trapping diffusion-influenced reactions theory in physics, chemistry and biology, this paper deals with irreducible Cartesian tensors…
Persistent effects of inertia on diffusion-influenced reactions: Theoretical methods and applications
Sangyoub Lee, Sergey D. Traytak, Kazuhiko Seki
The Cattaneo-Vernotte model has been widely studied to take momentum relaxation into account in transport equations. Yet, the effect of reactions on the Cattaneo-Vernotte model has…
Diffusion to capture and the concept of diffusive interactions
Marta Galanti, Duccio Fanelli, Sergey D. Traytak +1
Diffusion to capture is an ubiquitous phenomenon in many fields in biology and physical chemistry, with implications as diverse as ligand-receptor binding on eukaryotic and bacteri…
Semi-analytical computation of Laplacian Green functions in three-dimensional domains with disconnected spherical boundaries
D. S. Grebenkov, Sergey D. Traytak
We apply the generalized method of separation of variables (GMSV) to solve boundary value problems for the Laplace operator in three-dimensional domains with disconnected spherical…
Methods for solution of boundary value problems in domains with disconnected boundaries
Sergey D. Traytak
We present here a review of existing analytical methods to solve boundary value problems of diffusion in media containing N non-overlapping inclusions.
Theory of diffusion-influenced reactions in complex geometries
Marta Galanti, Duccio Fanelli, Francesco Piazza
Chemical reactions involving diffusion of reactants and subsequent chemical fixation steps are generally termed "diffusion-influenced" (DI). Virtually all biochemical processes in…
Diffusion-influenced reactions in a hollow nano-reactor with a circular hole
Francesco Piazza, Sergey D. Traytak
Hollow nanostructures are paid increasing attention in many nanotechnology-related communities in view of their numerous applications in chemistry and biotechnology, e.g. as smart…
Asymptotic solution of the diffusion equation in slender impermeable tubes of revolution. I. The leading-term approximation
Sergey D. Traytak
The anisotropic 3D equation describing the pointlike particles diffusion in slender impermeable tubes of revolution with cross section smoothly depending on the longitudial coordin…