journal article·2025-07-18

Ensemble-Based Correction for Anomalous Diffusion Exponent Estimation in Single-Particle Tracking

Roman Lavrynenko, Lyudmyla Kirichenko, Sergiy Yakovlev, Sophia Lavrynenko, Nataliya Ryabova

Applied Sciences· Volume 15· Issue 14
Publisher page

Abstract

The analysis of anomalous diffusion characteristics within single-particle tracking data is a key problem in several applied-science domains, including biosignal processing, bioinformatics, and biotechnology. This task becomes particularly challenging in the presence of short trajectories, localization errors, and non-ergodicity, features that are common in real experimental data. To address these limitations, this work proposes an approach that improves the robustness and accuracy of estimating the anomalous diffusion exponent α, even for very short trajectories of up to 10 points. The approach includes an ensemble-based variance estimation of the exponent α, along with a bias correction based on time–ensemble averaged mean squared displacement, which reduces the systematic bias. These components integrate well into neural network architectures and are suitable for analyzing experimental trajectories in biotechnology and bioprocess engineering applications.
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Affiliations

Artificial Intelligence Department, Kharkiv National University of Radio Electronics, 61166 Kharkiv, Ukraine

Institute of Mathematics, Lodz University of Technology, 90-924 Lodz, Poland

Institute of Computer Science and Artificial Intelligence, V.N. Karazin Kharkiv National University, 61022 Kharkiv, Ukraine

Funding

IMPRESS-U programme

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