Machine-learning solutions for the analysis of single-particle diffusion trajectories

H Seckler, J Szwabinski, R Metzler - The journal of physical …, 2023 - ACS Publications
Single-particle traces of the diffusive motion of molecules, cells, or animals are by now
routinely measured, similar to stochastic records of stock prices or weather data …

Coherent light scattering from cellular dynamics in living tissues

DD Nolte - Reports on Progress in Physics, 2024 - iopscience.iop.org
This review examines the biological physics of intracellular transport probed by the coherent
optics of dynamic light scattering from optically thick living tissues. Cells and their …

Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking

R Metzler, JH Jeon, AG Cherstvy… - Physical Chemistry …, 2014 - pubs.rsc.org
Modern microscopic techniques following the stochastic motion of labelled tracer particles
have uncovered significant deviations from the laws of Brownian motion in a variety of …

Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking

S Burov, JH Jeon, R Metzler, E Barkai - Physical Chemistry Chemical …, 2011 - pubs.rsc.org
Anomalous diffusion has been widely observed by single particle tracking microscopy in
complex systems such as biological cells. The resulting time series are usually evaluated in …

Classification of diffusion modes in single-particle tracking data: Feature-based versus deep-learning approach

P Kowalek, H Loch-Olszewska, J Szwabiński - Physical Review E, 2019 - APS
Single-particle trajectories measured in microscopy experiments contain important
information about dynamic processes occurring in a range of materials including living cells …

Guidelines for the fitting of anomalous diffusion mean square displacement graphs from single particle tracking experiments

E Kepten, A Weron, G Sikora, K Burnecki, Y Garini - PLoS One, 2015 - journals.plos.org
Single particle tracking is an essential tool in the study of complex systems and biophysics
and it is commonly analyzed by the time-averaged mean square displacement (MSD) of the …

Universal algorithm for identification of fractional Brownian motion. A case of telomere subdiffusion

K Burnecki, E Kepten, J Janczura, I Bronshtein… - Biophysical journal, 2012 - cell.com
We present a systematic statistical analysis of the recently measured individual trajectories
of fluorescently labeled telomeres in the nucleus of living human cells. The experiments …

Classification of particle trajectories in living cells: Machine learning versus statistical testing hypothesis for fractional anomalous diffusion

J Janczura, P Kowalek, H Loch-Olszewska… - Physical Review E, 2020 - APS
Single-particle tracking (SPT) has become a popular tool to study the intracellular transport
of molecules in living cells. Inferring the character of their dynamics is important, because it …

Range entropy: A bridge between signal complexity and self-similarity

A Omidvarnia, M Mesbah, M Pedersen, G Jackson - Entropy, 2018 - mdpi.com
Approximate entropy (ApEn) and sample entropy (SampEn) are widely used for temporal
complexity analysis of real-world phenomena. However, their relationship with the Hurst …

Stochastic climate theory

G Gottwald, DT Crommelin… - Nonlinear and stochastic …, 2017 - books.google.com
In this chapter we review stochastic modeling methods in climate science. First we provide a
conceptual framework for stochastic modeling of deterministic dynamical systems based on …