{"ID":6216438,"CreatedAt":"2026-07-09T14:13:38.975455509Z","UpdatedAt":"2026-07-09T14:13:38.975455509Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/1806.02251","arxiv_id":"1806.02251","title":"Reconstruction of substrate's diffusion landscape by the wavelet analysis of single particle diffusion tracks","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 functions with the subsequent continuous wavelet analysis of the later allows the localisation 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.","url_abs":"https://arxiv.org/abs/1806.02251v1","url_pdf":"https://arxiv.org/pdf/1806.02251v1","authors":"Eugene B. Postnikov, Igor M. Sokolov","published":"2018-06-06T15:37:10Z","has_code":false}