Distribution of directional change as a signature of complex dynamics

被引：105

作者：

Burov, Stanislav ^{[1
]}

Tabei, S. M. Ali ^{[1
]}

Toan Huynh ^{[2
]}

Murrell, Michael P. ^{[3
]}

Philipson, Louis H. ^{[4
]}

Rice, Stuart A. ^{[1
,2
]}

Gardel, Margaret L. ^{[1
,3
,5
]}

Scherer, Norbert F. ^{[1
,2
,3
]}

Dinner, Aaron R. ^{[1
,2
,3
]}

机构：

[1] Univ Chicago, James Franck Inst, Chicago, IL 60637 USA

[2] Univ Chicago, Dept Chem, Chicago, IL 60637 USA

[3] Univ Chicago, Inst Biophys Dynam, Chicago, IL 60637 USA

[4] Univ Chicago, Dept Med, Chicago, IL 60637 USA

[5] Univ Chicago, Dept Phys, Chicago, IL 60637 USA

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 2013年 / 110卷 / 49期

基金：

美国国家卫生研究院; 美国国家科学基金会;

关键词：

random walks; angular correlation; cytoskeleton; PATTERNS;

D O I：

10.1073/pnas.1319473110

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Analyses of random walks traditionally use the mean square displacement (MSD) as an order parameter characterizing dynamics. We show that the distribution of relative angles of motion between successive time intervals of random walks in two or more dimensions provides information about stochastic processes beyond the MSD. We illustrate the behavior of this measure for common models and apply it to experimental particle tracking data. For a colloidal system, the distribution of relative angles reports sensitively on caging as the density varies. For transport mediated by molecular motors on filament networks in vitro and in vivo, we discover self-similar properties that cannot be described by existing models and discuss possible scenarios that can lead to the elucidated statistical features.

引用

页码：19689 / 19694

页数：6

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