Novel algorithm and MATLAB-based program for automated power law analysis of single particle, time-dependent mean-square displacement
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Abstract In many physical and biophysical studies, single-particle tracking is utilized to reveal interactions, diffusion coefficients, active modes of driving motion, dynamic local structure, micromechanics, and microrheology. The basic analysis applied to those data is to determine the time-dependent mean-square displacement (MSD) of particle trajectories and perform time- and ensemble-averaging of similar motions. The motion of particles typically exhibits time-dependent power-law scaling, and only... Title of program: LINSA (acronym: linear segment analysis) Catalogue Id: AEMD_v1_0 Nature of problem In many physical and biophysical areas employing single-particle tracking, having the time-dependent power-laws governing the time-averaged meansquare displacement (MSD) of a single particle is crucial. Those power-laws determine the mode-of-motion and hint at the underlying mechanisms driving motion. Accurate determination of the power laws that describe each trajectory will allow categorization into groups for further analysis of single trajectories or ensemble analysis, e.g. ensemble and time ... Versions of this program held in the CPC repository in Mendeley Data AEMD_v1_0; LINSA (acronym: linear segment analysis); 10.1016/j.cpc.2012.03.001 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)
摘要 在诸多物理及生物物理研究中，单粒子追踪（single-particle tracking）技术被用于揭示粒子间相互作用、扩散系数、主动驱动运动模式、动态局域结构、微力学以及微流变学特性。针对此类数据的基础分析方法，是求取粒子轨迹的时变均方位移（mean-square displacement, MSD），并对同类运动执行时间平均与系综平均。粒子的运动通常呈现时变幂律标度特性，且仅能…… 程序名称：LINSA（首字母缩略词全称：线性分段分析（linear segment analysis）） 目录编号：AEMD_v1_0 问题本质 在诸多采用单粒子追踪（single-particle tracking）的物理与生物物理研究领域中，能够获取描述单粒子时间平均均方位移（mean-square displacement, MSD）的时变幂律至关重要。此类幂律可用于判定粒子的运动模式，并为揭示驱动运动的潜在机制提供线索。对每条轨迹对应的幂律进行精准测定，可将轨迹归类分组，以便开展单轨迹分析或系综分析（例如系综与时间……） Mendeley数据中的CPC程序库收录的该程序版本： AEMD_v1_0；LINSA（线性分段分析（linear segment analysis））；10.1016/j.cpc.2012.03.001 本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2018年）
