207 citations · 669 across the 14 of their papers we have counts for
14 papers
A reaction-subdiffusion model of fluorescence recovery after photobleaching (FRAP)
S. B. Yuste, E. Abad, K. Lindenberg
Anomalous diffusion, in particular subdiffusion, is frequently invoked as a mechanism of motion in dense biological media, and may have a significant impact on the kinetics of bind…
On the non-equivalence of two standard random walks
O. Benichou, K. Lindenberg, G. Oshanin
We focus on two models of nearest-neighbour random walks on d-dimensional regular hyper-cubic lattices that are usually assumed to be identical - the discrete-time Polya walk, in w…
Application of Fractional Calculus to Reaction-Subdiffusion Processes and Morphogen Gradient Formation
S. B. Yuste, E. Abad, K. Lindenberg
It is a well known fact that subdiffusion equations in terms of fractional derivatives can be obtained from Continuous Time Random Walk (CTRW) models with long-tailed waiting time…
Efficient search by optimized intermittent random walks
Gleb Oshanin, Katja Lindenberg, Horacio S Wio +1
We study the kinetics for the search of an immobile target by randomly moving searchers that detect it only upon encounter. The searchers perform intermittent random walks on a one…
On the relation between event-based and time-based current statistics
Massimiliano Esposito, Katja Lindenberg, Igor M. Sokolov
Current statistics can be calculated in various ways. Event-based approaches use the statistics of the number of events occuring during a given time. Time-based approaches use the…
Survival probability of a particle in a sea of mobile traps: A tale of tails
S. B. Yuste, G. Oshanin, K. Lindenberg +2
We study the long-time tails of the survival probability of an particle diffusing in -dimensional media in the presence of a concentration of traps that move…