article · 14/07/2016
Optimal search strategies of run-and-tumble walks
Résumé
The run-and-tumble walk, consisting of randomly reoriented ballistic excursions, models phenomena ranging from gas kinetics to bacteria motility. We evaluate the mean time required for this walk to find a fixed target within a two- or three-dimensional spherical confinement. We find that the mean search time admits a minimum as a function of the mean run duration for various types of boundary conditions and run duration distributions (exponential, power-law, deterministic). Our result stands in sharp contrast to the pure ballistic motion, which is predicted to be the optimal search strategy in the case of Poisson-distributed targets.
Citer cet article
Rupprecht, J.-F., Benichou, O., & Voituriez, R. (2016). Optimal search strategies of run-and-tumble walks. PHYSICAL REVIEW E, 94(1). https://doi.org/10.1103/PhysRevE.94.012117@article{Rupprecht2016_173,
author = {Rupprecht, Jean-Francois and Benichou, Olivier and Voituriez, Raphael},
year = {2016},
month = {7},
title = {Optimal search strategies of run-and-tumble walks},
journal = {PHYSICAL REVIEW E},
volume = {94},
number = {1},
abstract = {The run-and-tumble walk, consisting of randomly reoriented ballistic excursions, models phenomena ranging from gas kinetics to bacteria motility. We evaluate the mean time required for this walk to find a fixed target within a two- or three-dimensional spherical confinement. We find that the mean search time admits a minimum as a function of the mean run duration for various types of boundary conditions and run duration distributions (exponential, power-law, deterministic). Our result stands in sharp contrast to the pure ballistic motion, which is predicted to be the optimal search strategy in the case of Poisson-distributed targets.},
url = {http://www.dx.doi.org/10.1103/PhysRevE.94.012117},
doi = {10.1103/PhysRevE.94.012117},
issn = {2470-0045},
}TY - JOUR
AU - Rupprecht, Jean-Francois
AU - Benichou, Olivier
AU - Voituriez, Raphael
PY - 2016
DA - 2016/07/14
TI - Optimal search strategies of run-and-tumble walks
JO - PHYSICAL REVIEW E
VL - 94
IS - 1
SN - 2470-0045
AB - The run-and-tumble walk, consisting of randomly reoriented ballistic excursions, models phenomena ranging from gas kinetics to bacteria motility. We evaluate the mean time required for this walk to find a fixed target within a two- or three-dimensional spherical confinement. We find that the mean search time admits a minimum as a function of the mean run duration for various types of boundary conditions and run duration distributions (exponential, power-law, deterministic). Our result stands in sharp contrast to the pure ballistic motion, which is predicted to be the optimal search strategy in the case of Poisson-distributed targets.
DO - 10.1103/PhysRevE.94.012117
UR - http://www.dx.doi.org/10.1103/PhysRevE.94.012117
ER -