article · 23/02/2012
Non-Gaussianity and dynamical trapping in locally activated random walks
Résumé
We propose a minimal model of locally activated diffusion, in which the diffusion coefficient of a one-dimensional Brownian particle is modified in a prescribed way-either increased or decreased-upon each crossing of the origin. Such a local mobility decrease arises in the formation of atherosclerotic plaques due to diffusing macrophage cells accumulating lipid particles. We show that spatially localized mobility perturbations have remarkable consequences on diffusion at all scales, such as the emergence of a non-Gaussian multipeaked probability distribution and a dynamical transition to an absorbing static state. In the context of atherosclerosis, this dynamical transition can be viewed as a minimal mechanism that causes macrophages to aggregate in lipid-enriched regions and thereby to the formation of atherosclerotic plaques.
Citer cet article
Benichou, O., Meunier, N., Redner, S., & Voituriez, R. (2012). Non-Gaussianity and dynamical trapping in locally activated random walks. PHYSICAL REVIEW E, 85(2, 1). https://doi.org/10.1103/PhysRevE.85.021137@article{Benichou2012_250,
author = {Benichou, O. and Meunier, N. and Redner, S. and Voituriez, R.},
year = {2012},
month = {2},
title = {Non-Gaussianity and dynamical trapping in locally activated random walks},
journal = {PHYSICAL REVIEW E},
volume = {85},
number = {2, 1},
abstract = {We propose a minimal model of locally activated diffusion, in which the diffusion coefficient of a one-dimensional Brownian particle is modified in a prescribed way-either increased or decreased-upon each crossing of the origin. Such a local mobility decrease arises in the formation of atherosclerotic plaques due to diffusing macrophage cells accumulating lipid particles. We show that spatially localized mobility perturbations have remarkable consequences on diffusion at all scales, such as the emergence of a non-Gaussian multipeaked probability distribution and a dynamical transition to an absorbing static state. In the context of atherosclerosis, this dynamical transition can be viewed as a minimal mechanism that causes macrophages to aggregate in lipid-enriched regions and thereby to the formation of atherosclerotic plaques.},
url = {http://www.dx.doi.org/10.1103/PhysRevE.85.021137},
doi = {10.1103/PhysRevE.85.021137},
issn = {1539-3755},
}TY - JOUR
AU - Benichou, O.
AU - Meunier, N.
AU - Redner, S.
AU - Voituriez, R.
PY - 2012
DA - 2012/02/23
TI - Non-Gaussianity and dynamical trapping in locally activated random walks
JO - PHYSICAL REVIEW E
VL - 85
IS - 2, 1
SN - 1539-3755
AB - We propose a minimal model of locally activated diffusion, in which the diffusion coefficient of a one-dimensional Brownian particle is modified in a prescribed way-either increased or decreased-upon each crossing of the origin. Such a local mobility decrease arises in the formation of atherosclerotic plaques due to diffusing macrophage cells accumulating lipid particles. We show that spatially localized mobility perturbations have remarkable consequences on diffusion at all scales, such as the emergence of a non-Gaussian multipeaked probability distribution and a dynamical transition to an absorbing static state. In the context of atherosclerosis, this dynamical transition can be viewed as a minimal mechanism that causes macrophages to aggregate in lipid-enriched regions and thereby to the formation of atherosclerotic plaques.
DO - 10.1103/PhysRevE.85.021137
UR - http://www.dx.doi.org/10.1103/PhysRevE.85.021137
ER -