73 citations · 141 across the 38 of their papers we have counts for
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Spectral properties of the Bloch-Torrey operator in three dimensions
Denis S. Grebenkov
We consider the Bloch-Torrey operator, , that governs the time evolution of the transverse magnetization in diffusion magnetic resonance imaging (dMRI). Using the matrix f…
Diffusion-controlled reactions: an overview
Denis S. Grebenkov
We review the milestones in the century-long development of the theory of diffusion-controlled reactions. Starting from the seminal work by von Smoluchowski who recognized the impo…
A numerical study of the Dirichlet-to-Neumann operator in planar domains
Adrien Chaigneau, Denis S. Grebenkov
We numerically investigate the generalized Steklov problem for the modified Helmholtz equation and focus on the relation between its spectrum and the geometric structure of the dom…
Encounter-based approach to target search problems: a review
Denis S. Grebenkov
In this review, we present the encounter-based approach to target search problems, in which the diffusive dynamics is described by the joint probability of the position of the part…
Boundary homogenization for target search problems
Denis S. Grebenkov, Alexei T. Skvortsov
In this review, we describe several approximations in the theory of Laplacian transport near complex or heterogeneously reactive boundaries. This phenomenon, governed by the Laplac…