59 citations · 427 across the 55 of their papers we have counts for
10 papers · 1 filter
Oscillatory decay of the survival probability of activated diffusion across a limit cycle
K. Dao Duc, Z. Schuss, D. Holcman
Activated escape of a Brownian particle from the domain of attraction of a stable focus over a limit cycle exhibits non-Kramers behavior: it is non-Poissonian. When the attractor i…
Brownian Motion in Dire Straits
David Holcman, Zeev Schuss
The passage of Brownian motion through a bottleneck in a bounded domain is a rare event and the mean time for such passage increases indefinitely as the bottleneck's radius shrinks…
Semi-classical limits of the first eigenfunction and concentration on the recurrent sets of a dynamical system
David Holcman, Ivan Kupka
Dear Reader, please find the third and last part of a series of papers on the singular perturbation of the first eigenfunction associated to a non self-adjoint second order ellipti…
Partially Reflected Diffusion
A. Singer, Z. Schuss, D. Holcman
The radiation (reaction, Robin) boundary condition for the continuum diffusion equation is widely used in chemical and biological applications to express reactive boundaries. The u…
The survival probability of diffusion with killing
D. Holcman, A. Marchewka, Z. Schuss
We present a general framework to study the effect of killing sources on moving particles, trafficking inside biological cells. We are merely concerned with the case of spine-dendr…
Stochastic Chemical Reactions in Micro-domains
D. Holcman, Z. Schuss
Traditional chemical kinetics may be inappropriate to describe chemical reactions in micro-domains involving only a small number of substrate and reactant molecules. Starting with…