Reconstruction of substrate's diffusion landscape by the wavelet analysis of single particle diffusion tracks

被引:3
|
作者
Postnikov, Eugene B. [1 ]
Sokolov, Igor M. [2 ,3 ]
机构
[1] Kursk State Univ, Theoret Phys Dept, Radishcheva St 33, Kursk 305000, Russia
[2] Humboldt Univ, Inst Phys, Newtonstr 15, D-12489 Berlin, Germany
[3] Humboldt Univ, IRIS Adlershof, Newtonstr 15, D-12489 Berlin, Germany
基金
俄罗斯科学基金会;
关键词
Single particle tracking; Diffusion landscape; Wavelet transform; ANOMALOUS DIFFUSION;
D O I
10.1016/j.physa.2019.122102
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We propose an approach to analysing single trajectories of a particle, which moves randomly on a landscape distinct parts of which result in sufficiently various diffusion coefficients. The method based on the mapping the cumulative sum of step-wise elementary displacement squared into a complex oscillating function with the subsequent continuous wavelet analysis of the later allows the localization of relatively homogeneous sub-regions and determining values of the diffusion coefficient within each such sub-region. This approach is applied to demonstrable test examples as well as to the reconstruction of the biological membrane's properties from the real data of single molecule walk tracing. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页数:12
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