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

Author

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  • Postnikov, Eugene B.
  • Sokolov, Igor M.

Abstract

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.

Suggested Citation

  • Postnikov, Eugene B. & Sokolov, Igor M., 2019. "Reconstruction of substrate’s diffusion landscape by the wavelet analysis of single particle diffusion tracks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    • Handle: RePEc:eee:phsmap:v:533:y:2019:i:c:s0378437119312221
    DOI: 10.1016/j.physa.2019.122102
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    Cited by:

    1. Khalin, Andrey A. & Postnikov, Eugene B., 2020. "A wavelet-based approach to revealing the Tweedie distribution type in sparse data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    2. Mikhail Genkin & Owen Hughes & Tatiana A. Engel, 2021. "Learning non-stationary Langevin dynamics from stochastic observations of latent trajectories," Nature Communications, Nature, vol. 12(1), pages 1-9, December.

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