65 citations · 129 across the 8 of their papers we have counts for
8 papers
Narrow escape and leakage of Brownian particles
A. Singer, Z. Schuss, D. Holcman
Questions of flux regulation in biological cells raise renewed interest in the narrow escape problem. The often inadequate expansions of the narrow escape time are due to a not so…
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…
Attenuation of the Electric Potential and Field in Disordered Systems
A. Singer, Z. Schuss, R. S. Eisenberg
We study the electric potential and field produced by disordered distributions of charge to see why clumps of charge do not produce large potentials or fields. The question is answ…
Langevin Trajectories between Fixed Concentrations
B. Nadler, Z. Schuss, A. Singer
We consider the trajectories of particles diffusing between two infinite baths of fixed concentrations connected by a channel, e.g. a protein channel of a biological membrane. The…
Brownian Simulations and Uni-Directional Flux in Diffusion
A. Singer, Z. Schuss
Brownian dynamics simulations require the connection of a small discrete simulation volume to large baths that are maintained at fixed concentrations and voltages. The continuum ba…
Narrow Escape, Part III: Riemann surfaces and non-smooth domains
A. Singer, Z. Schuss, D. Holcman
We consider Brownian motion in a bounded domain on a two-dimensional Riemannian manifold . We assume that the boundary $\pΩ$ is smooth and reflects the trajectories, exc…