Biophysical processes within living systems rely on encounters and interactions between molecules in complex environments such as cells. They are often described by anomalous diffusion transport.

In this paper we introduce a multilevel birth-death particle system and consider its diffusion approximation which can be characterized as a M( R+)-valued process. The tightness of rescaled processes ...

Diffusion of a spherical particle of radius r in a tube with identical periodic dead ends is analyzed. It is shown that the effective diffusion constant follows the Stokes-Einstein relation, D(eff)(r) ...

Abstract: Properly treating wave-particle interactions is crucial to modeling and predicting the behavior of radiation belt electrons. The usual quasi-linear theory alone cannot capture the effects ...