Efficient recurrent neural network methods for anomalously diffusing single particle short and noisy trajectories

Superdiffusion of quantized vortices uncovering scaling laws in quantum turbulence

(2021) Yuan Tang et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Classification, inference and segmentation of anomalous diffusion with recurrent neural networks

(2021) Aykut Argun et al.   Journal of Physics A-Mathematical and Theoretical

Characterization of anomalous diffusion classical statistics powered by deep learning (CONDOR)

(2021) Alessia Gentili et al.   Journal of Physics A-Mathematical and Theoretical

Objective comparison of methods to decode anomalous diffusion

(2021) Gorka Muñoz-Gil et al.   Nature Communications

Spurious ergodicity breaking in normal and fractional Ornstein-Uhlenbeckprocess

(2020) Yousof Mardoukhi et al.   NEW JOURNAL OF PHYSICS

Deciphering anomalous heterogeneous intracellular transport with neural networks

(2020) Daniel Han et al.   eLife

A statistical inference approach to reconstruct intercellular interactions in cell migration experiments

(2020) Elena Agliari et al.   Science Advances

Elucidating the Origin of Heterogeneous Anomalous Diffusion in the Cytoplasm of Mammalian Cells

(2020) Adal Sabri et al.   PHYSICAL REVIEW LETTERS

A Dual-Permeability Approach to Study Anomalous Moisture Transport Properties of Cement-Based Materials

(2020) Zhidong Zhang et al.   TRANSPORT IN POROUS MEDIA

Impact of Feature Choice on Machine Learning Classification of Fractional Anomalous Diffusion

(2020) Hanna Loch-Olszewska et al.   Entropy

Leveraging large-deviationstatistics to decipher the stochastic properties of measured trajectories

(2020) Samudrajit Thapa et al.   NEW JOURNAL OF PHYSICS

Spectral Content of a Single Non-Brownian Trajectory

(2019) Diego Krapf et al.   Physical Review X

Single-Particle Diffusion Characterization by Deep Learning

(2019) Naor Granik et al.   BIOPHYSICAL JOURNAL

Continuous-Time Random Walk for a Particle in a Periodic Potential

(2019) Andreas Dechant et al.   PHYSICAL REVIEW LETTERS

Single trajectory characterization via machine learning

(2019) Gorka Muñoz-Gil et al.   NEW JOURNAL OF PHYSICS

Power spectral density of a single Brownian trajectory: what one can and cannot learn from it

(2018) Diego Krapf et al.   NEW JOURNAL OF PHYSICS

Bayesian analysis of single-particle tracking data using the nested-sampling algorithm: maximum-likelihood model selection applied to stochastic-diffusivity data

(2018) Samudrajit Thapa et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

Large deviations of time-averaged statistics for Gaussian processes

(2018) J. Gajda et al.   STATISTICS & PROBABILITY LETTERS

Diffusion-limited reactions in dynamic heterogeneous media

(2018) Yann Lanoiselée et al.   Nature Communications

Non-equilibrium forces drive the anomalous diffusion of telomeres in the nucleus of mammalian cells

(2017) Lorenz Stadler et al.   NEW JOURNAL OF PHYSICS

Quantifying non-ergodicity of anomalous diffusion with higher order moments

(2017) Maria Schwarzl et al.   Scientific Reports

Classification and Segmentation of Nanoparticle Diffusion Trajectories in Cellular Micro Environments

(2017) Thorsten Wagner et al.   PLoS One

Communication: A multiscale Bayesian inference approach to analyzing subdiffusion in particle trajectories

(2016) Konrad Hinsen et al.   JOURNAL OF CHEMICAL PHYSICS

Nonergodic diffusion of single atoms in a periodic potential

(2016) Farina Kindermann et al.   Nature Physics

A toolbox for determining subdiffusive mechanisms

(2015) Yasmine Meroz et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

A review of progress in single particle tracking: from methods to biophysical insights

(2015) Carlo Manzo et al.   REPORTS ON PROGRESS IN PHYSICS

Weak Ergodicity Breaking of Receptor Motion in Living Cells Stemming from Random Diffusivity

(2015) Carlo Manzo et al.   Physical Review X

Guidelines for the Fitting of Anomalous Diffusion Mean Square Displacement Graphs from Single Particle Tracking Experiments

(2015) Eldad Kepten et al.   PLoS One

Estimating the anomalous diffusion exponent for single particle tracking data with measurement errors - An alternative approach

(2015) Krzysztof Burnecki et al.   Scientific Reports

Objective comparison of particle tracking methods

(2014) Nicolas Chenouard et al.   NATURE METHODS

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

(2014) Ralf Metzler et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

Nonergodic Subdiffusion from Brownian Motion in an Inhomogeneous Medium

(2014) P. Massignan et al.   PHYSICAL REVIEW LETTERS

Anomalous Diffusion of Single Particles in Cytoplasm

(2013) Benjamin M. Regner et al.   BIOPHYSICAL JOURNAL

Noisy continuous time random walks

(2013) Jae-Hyung Jeon et al.   JOURNAL OF CHEMICAL PHYSICS

Characterization of anomalous diffusion in porous biological tissues using fractional order derivatives and entropy

(2013) Richard L. Magin et al.   MICROPOROUS AND MESOPOROUS MATERIALS

Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions

(2013) Jae-Hyung Jeon et al.   NEW JOURNAL OF PHYSICS

Linear response, fluctuation-dissipation, and finite-system-size effects in superdiffusion

(2013) Aljaž Godec et al.   PHYSICAL REVIEW E

Improved estimation of anomalous diffusion exponents in single-particle tracking experiments

(2013) Eldad Kepten et al.   PHYSICAL REVIEW E

Finite-Time Effects and Ultraweak Ergodicity Breaking in Superdiffusive Dynamics

(2013) Aljaž Godec et al.   PHYSICAL REVIEW LETTERS

Test for Determining a Subdiffusive Model in Ergodic Systems from Single Trajectories

(2013) Yasmine Meroz et al.   PHYSICAL REVIEW LETTERS

Bayesian Approach to MSD-Based Analysis of Particle Motion in Live Cells

(2012) Nilah Monnier et al.   BIOPHYSICAL JOURNAL

Universal Algorithm for Identification of Fractional Brownian Motion. A Case of Telomere Subdiffusion

(2012) Krzysztof Burnecki et al.   BIOPHYSICAL JOURNAL

Observation of Anomalous Diffusion and Fractional Self-Similarity in One Dimension

(2012) Yoav Sagi et al.   PHYSICAL REVIEW LETTERS

Anomalous diffusion: Testing ergodicity breaking in experimental data

(2011) Marcin Magdziarz et al.   PHYSICAL REVIEW E

Bayesian estimation of self-similarity exponent

(2011) Natallia Makarava et al.   PHYSICAL REVIEW E

Ergodic and nonergodic processes coexist in the plasma membrane as observed by single-molecule tracking

(2011) A. V. Weigel et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Quantitative Analysis of Single Particle Trajectories: Mean Maximal Excursion Method

(2010) Vincent Tejedor et al.   BIOPHYSICAL JOURNAL

Analysis of short subdiffusive time series: scatter of the time-averaged mean-squared displacement

(2010) Jae-Hyung Jeon et al.   Journal of Physics A-Mathematical and Theoretical

Fractional Brownian motion and motion governed by the fractional Langevin equation in confined geometries

(2010) Jae-Hyung Jeon et al.   PHYSICAL REVIEW E

Bacterial Chromosomal Loci Move Subdiffusively through a Viscoelastic Cytoplasm

(2010) Stephanie C. Weber et al.   PHYSICAL REVIEW LETTERS

Ergodic properties of fractional Brownian-Langevin motion

(2009) Weihua Deng et al.   PHYSICAL REVIEW E

Fractional Brownian Motion Versus the Continuous-Time Random Walk: A Simple Test for Subdiffusive Dynamics

(2009) Marcin Magdziarz et al.   PHYSICAL REVIEW LETTERS

Transient Anomalous Diffusion of Telomeres in the Nucleus of Mammalian Cells

(2009) I. Bronstein et al.   PHYSICAL REVIEW LETTERS

Random Time-Scale Invariant Diffusion and Transport Coefficients

(2008) Y. He et al.   PHYSICAL REVIEW LETTERS