ArticleNature communications2015
Superstatistical analysis and modelling of heterogeneous random walks.
Article in Nature communications, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 41 papers.
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Who cites it
41 citing papers in PubMed.
- Neutrophils exhibit distinct migration phenotypes that are modulated by transendothelial migration.Communications biology · 2026Article
- Immune cells employ intermittent integrin-mediated traction forces for 3D migration.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Physical models of embryonic epithelial healing.PLoS computational biology · 2026Review
- Methods to analyze cell migration data: fundamentals and practical guidelines.Nature methods · 2026Review
- Pointwise prediction of protein diffusive properties using machine learning.JPhys photonics · 2025Article
- Data-driven modelling makes quantitative predictions regarding bacteria surface motility.PLoS computational biology · 2024Article
- An entropy-based approach for assessing the directional persistence of cell migration.Biophysical journal · 2024Article
- FMNL1 and mDia1 promote efficient T cell migration through complex environments via distinct mechanisms.Frontiers in immunology · 2024Article
- Extract latent features of single-particle trajectories with historical experience learning.Biophysical journal · 2023Article
- Whole-genome screens reveal regulators of differentiation state and context-dependent migration in human neutrophils.Nature communications · 2023Article
- Classification at the accuracy limit: facing the problem of data ambiguity.Scientific reports · 2022Article
- Article
- T cell morphodynamics reveal periodic shape oscillations in three-dimensional migration.Journal of the Royal Society, Interface · 2022Article
- Learning the rules of collective cell migration using deep attention networks.PLoS computational biology · 2022Article
- Exact solution for the Anisotropic Ornstein-Uhlenbeck process.Physica A · 2022Article
- Disentangling cadherin-mediated cell-cell interactions in collective cancer cell migration.Biophysical journal · 2022Article
- Article
- Sleep as a random walk: a super-statistical analysis of EEG data across sleep stages.Communications biology · 2021Article
- Detecting long-range interactions between migrating cells.Scientific reports · 2021Article
- Cell migration guided by long-lived spatial memory.Nature communications · 2021Article
Corrections and comments
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Authors and funding
6 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Stochastic time series are ubiquitous in nature. In particular, random walks with time-varying statistical properties are found in many scientific disciplines. Here we present a superstatistical approach to analyse and model such heterogeneous random walks. The time-dependent statistical parameters can be extracted from measured random walk trajectories with a Bayesian method of sequential inference. The distributions and correlations of these parameters reveal subtle features of the random process that are not captured by conventional measures, such as the mean-squared displacement or the step width distribution. We apply our new approach to migration trajectories of tumour cells in two and three dimensions, and demonstrate the superior ability of the superstatistical method to discriminate cell migration strategies in different environments. Finally, we show how the resulting insights can be used to design simple and meaningful models of the underlying random processes.
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