Persistence and first-passage properties in nonequilibrium systems

AJ Bray, SN Majumdar, G Schehr - Advances in Physics, 2013 - Taylor & Francis
In this review, we discuss the persistence and the related first-passage properties in
extended many-body nonequilibrium systems. Starting with simple systems with one or few …

Intermittent search strategies

O Bénichou, C Loverdo, M Moreau, R Voituriez - Reviews of Modern Physics, 2011 - APS
This review examines intermittent target search strategies, which combine phases of slow
motion, allowing the searcher to detect the target, and phases of fast motion during which …

Single-molecule tracking in live cells reveals distinct target-search strategies of transcription factors in the nucleus

I Izeddin, V Récamier, L Bosanac, II Cissé… - Elife, 2014 - elifesciences.org
Gene regulation relies on transcription factors (TFs) exploring the nucleus searching their
targets. So far, most studies have focused on how fast TFs diffuse, underestimating the role …

First-passage times in complex scale-invariant media

S Condamin, O Bénichou, V Tejedor, R Voituriez… - Nature, 2007 - nature.com
How long does it take a random walker to reach a given target point? This quantity, known
as a first-passage time (FPT), has led to a growing number of theoretical investigations over …

From first-passage times of random walks in confinement to geometry-controlled kinetics

O Bénichou, R Voituriez - Physics Reports, 2014 - Elsevier
We present a general theory which allows one to accurately evaluate the mean first-passage
time (FPT) for regular random walks in bounded domains, and its extensions to related first …

Geometry-controlled kinetics

O Bénichou, C Chevalier, J Klafter, B Meyer… - Nature …, 2010 - nature.com
It has long been appreciated that the transport properties of molecules can control reaction
kinetics. This effect can be characterized by the time it takes a diffusing molecule to reach a …

[HTML][HTML] Local c-di-GMP signaling in the control of synthesis of the E. coli biofilm exopolysaccharide pEtN-cellulose

AM Richter, A Possling, N Malysheva, KP Yousef… - Journal of molecular …, 2020 - Elsevier
In many bacteria, the biofilm-promoting second messenger c-di-GMP is produced and
degraded by multiple diguanylate cyclases (DGC) and phosphodiesterases (PDE) …

Probing microscopic origins of confined subdiffusion by first-passage observables

S Condamin, V Tejedor, R Voituriez… - Proceedings of the …, 2008 - National Acad Sciences
Subdiffusive motion of tracer particles in complex crowded environments, such as biological
cells, has been shown to be widespread. This deviation from Brownian motion is usually …

Global mean first-passage times of random walks on complex networks

V Tejedor, O Bénichou, R Voituriez - … Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
We present a general framework, applicable to a broad class of random walks on complex
networks, which provides a rigorous lower bound for the mean first-passage time of a …

First passages in bounded domains: When is the mean first passage time meaningful?

TG Mattos, C Mejía-Monasterio, R Metzler… - Physical Review E …, 2012 - APS
We study the first passage statistics to adsorbing boundaries of a Brownian motion in
bounded two-dimensional domains of different shapes and configurations of the adsorbing …