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

Dynamics of Phospholipid Membranes beyond Thermal Undulations

(2018) Sudipta Gupta et al.   Journal of Physical Chemistry Letters

Reaction–diffusion systems with fluctuating diffusivity; spatio-temporal chaos and phase separation

(2018) Shibashis Paul et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Random diffusivity from stochastic equations: comparison of two models for Brownian yet non-Gaussian diffusion

(2018) Vittoria Sposini et al.   NEW JOURNAL OF PHYSICS

Biased continuous-time random walks for ordinary and equilibrium cases: facilitation of diffusion, ergodicity breaking and ageing

(2018) Ru Hou et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

Bayesian model selection for complex dynamic systems

(2018) Christoph Mark et al.   Nature Communications

Neuronal messenger ribonucleoprotein transport follows an aging Lévy walk

(2018) Minho S. Song et al.   Nature Communications

Fitting a function to time-dependent ensemble averaged data

(2018) Karl Fogelmark et al.   Scientific Reports

Non-Gaussianity, population heterogeneity, and transient superdiffusion in the spreading dynamics of amoeboid cells

(2018) Andrey G. Cherstvy et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

Stochastic Volatility Models Based on OU-Gamma Time Change: Theory and Estimation

(2017) Lancelot F. James et al.   JOURNAL OF BUSINESS & ECONOMIC STATISTICS

Quantifying non-ergodicity of anomalous diffusion with higher order moments

(2017) Maria Schwarzl et al.   Scientific Reports

Fast Bayesian inference of optical trap stiffness and particle diffusion

(2017) Sudipta Bera et al.   Scientific Reports

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

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

Diffusion in a Crowded, Rearranging Environment

(2016) Rohit Jain et al.   JOURNAL OF PHYSICAL CHEMISTRY B

Model Comparison and Assessment for Single Particle Tracking in Biological Fluids

(2016) Martin Lysy et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Anomalous, non-Gaussian tracer diffusion in crowded two-dimensional environments

(2016) Surya K Ghosh et al.   NEW JOURNAL OF PHYSICS

Anomalous diffusion in time-fluctuating non-stationary diffusivity landscapes

(2016) Andrey G. Cherstvy et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

Dynamic heterogeneity and non-Gaussian statistics for acetylcholine receptors on live cell membrane

(2016) W. He et al.   Nature Communications

Underdamped scaled Brownian motion: (non-)existence of the overdamped limit in anomalous diffusion

(2016) Anna S. Bodrova et al.   Scientific Reports

Nanoscale Topography Influences Polymer Surface Diffusion

(2015) Dapeng Wang et al.   ACS Nano

Bayesian inference for partially observed stochastic differential equations driven by fractional Brownian motion

(2015) A. Beskos et al.   BIOMETRIKA

Quantifying the non-ergodicity of scaled Brownian motion

(2015) Hadiseh Safdari et al.   Journal of Physics A-Mathematical and Theoretical

Ergodicity breaking, ageing, and confinement in generalized diffusion processes with position and time dependent diffusivity

(2015) Andrey G Cherstvy et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Inferring transient particle transport dynamics in live cells

(2015) Nilah Monnier et al.   NATURE METHODS

The dynamics of single protein molecules is non-equilibrium and self-similar over thirteen decades in time

(2015) Xiaohu Hu 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

Superstatistical analysis and modelling of heterogeneous random walks

(2015) Claus Metzner et al.   Nature Communications

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

Even Hard-Sphere Colloidal Suspensions Display Fickian Yet Non-Gaussian Diffusion

(2014) Juan Guan et al.   ACS Nano

Ageing and confinement in non-ergodic heterogeneous diffusion processes

(2014) Andrey G Cherstvy et al.   Journal of Physics A-Mathematical and Theoretical

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

Scaled Brownian motion: a paradoxical process with a time dependent diffusivity for the description of anomalous diffusion

(2014) Jae-Hyung Jeon et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

Nonergodicity, fluctuations, and criticality in heterogeneous diffusion processes

(2014) A. G. Cherstvy et al.   PHYSICAL REVIEW E

Scaled Brownian motion as a mean-field model for continuous-time random walks

(2014) Felix Thiel et al.   PHYSICAL REVIEW E

Weak ergodicity breaking in an anomalous diffusion process of mixed origins

(2014) Felix Thiel et al.   PHYSICAL REVIEW E

Diffusing Diffusivity: A Model for Anomalous, yet Brownian, Diffusion

(2014) Mykyta V. Chubynsky et al.   PHYSICAL REVIEW LETTERS

On drift parameter estimation in models with fractional Brownian motion

(2014) Y. Kozachenko et al.   STATISTICS

The Jeffreys–Lindley paradox and discovery criteria in high energy physics

(2014) Robert D. Cousins   SYNTHESE

Anomalous Weakly Nonergodic Brownian Motions in Nonuniform Temperatures

(2013) A. Fuliński   ACTA PHYSICA POLONICA B

Noisy continuous time random walks

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

Communication: How to generate and measure anomalous diffusion in simple systems

(2013) A. Fuliński   JOURNAL OF CHEMICAL PHYSICS

Extracting intracellular diffusive states and transition rates from single-molecule tracking data

(2013) Fredrik Persson et al.   NATURE METHODS

Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes

(2013) Andrey G Cherstvy et al.   NEW JOURNAL OF PHYSICS

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

Population splitting, trapping, and non-ergodicity in heterogeneous diffusion processes

(2013) Andrey G. Cherstvy et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

Describing the dynamics of processes consisting simultaneously of Poissonian and non-Poissonian kinetics

(2013) S. Eule et al.   PHYSICAL REVIEW E

Disentangling Sources of Anomalous Diffusion

(2013) Felix Thiel et al.   PHYSICAL REVIEW LETTERS

Intracellular transport of insulin granules is a subordinated random walk

(2013) S. M. A. Tabei et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Anomalous transport in the crowded world of biological cells

(2013) Felix Höfling et al.   REPORTS ON PROGRESS IN PHYSICS

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

(2012) Krzysztof Burnecki et al.   BIOPHYSICAL JOURNAL

When Brownian diffusion is not Gaussian

(2012) Bo Wang et al.   NATURE MATERIALS

Inequivalence of time and ensemble averages in ergodic systems: Exponential versus power-law relaxation in confinement

(2012) Jae-Hyung Jeon et al.   PHYSICAL REVIEW E

Strange kinetics of single molecules in living cells

(2012) Eli Barkai et al.   PHYSICS TODAY

Models of anomalous diffusion in crowded environments

(2012) Igor M. Sokolov   Soft Matter

CONSTRAINTS ON COSMIC-RAY PROPAGATION MODELS FROM A GLOBAL BAYESIAN ANALYSIS

(2011) R. Trotta et al.   ASTROPHYSICAL JOURNAL

Resonances arising from hydrodynamic memory in Brownian motion

(2011) Thomas Franosch et al.   NATURE

Direct observation of the full transition from ballistic to diffusive Brownian motion in a liquid

(2011) Rongxin Huang et al.   Nature Physics

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

(2011) Stas Burov et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

In VivoAnomalous Diffusion and Weak Ergodicity Breaking of Lipid Granules

(2011) Jae-Hyung Jeon et al.   PHYSICAL REVIEW LETTERS

Protein Diffusion in Mammalian Cell Cytoplasm

(2011) Thomas Kühn et al.   PLoS One

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

Bayesian inference in physics

(2011) Udo von Toussaint   REVIEWS OF MODERN PHYSICS

Biological hydrogels as selective diffusion barriers

(2011) Oliver Lieleg et al.   TRENDS IN CELL BIOLOGY

Approximate Bayesian Computation in Evolution and Ecology

(2010) Mark A. Beaumont   Annual Review of Ecology Evolution and Systematics

Characterization of Particle Translocation through Mucin Hydrogels

(2010) Oliver Lieleg et al.   BIOPHYSICAL JOURNAL

Quantitative Analysis of Single Particle Trajectories: Mean Maximal Excursion Method

(2010) Vincent Tejedor et al.   BIOPHYSICAL JOURNAL

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

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

Mean square displacement analysis of single-particle trajectories with localization error: Brownian motion in an isotropic medium

(2010) Xavier Michalet   PHYSICAL REVIEW E

Measurement of the Instantaneous Velocity of a Brownian Particle

(2010) T. Li et al.   SCIENCE

Ergodic properties of fractional Brownian-Langevin motion

(2009) Weihua Deng et al.   PHYSICAL REVIEW E

Subdiffusion in time-averaged, confined random walks

(2009) Thomas Neusius 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

Inferring Maps of Forces inside Cell Membrane Microdomains

(2009) J.-B. Masson et al.   PHYSICAL REVIEW LETTERS

Anomalous yet Brownian

(2009) B. Wang et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

A Hidden Markov Model for Single Particle Tracks Quantifies Dynamic Interactions between LFA-1 and the Actin Cytoskeleton

(2009) Raibatak Das et al.   PLoS Computational Biology

Single-Molecule Approach to Molecular Biology in Living Bacterial Cells

(2008) X. Sunney Xie et al.   Annual Review of Biophysics

Bayes in the sky: Bayesian inference and model selection in cosmology

(2008) Roberto Trotta   CONTEMPORARY PHYSICS

Anomalous diffusion of heterogeneous populations characterized by normal diffusion at the individual level

(2008) S. Hapca et al.   Journal of the Royal Society Interface

Random Time-Scale Invariant Diffusion and Transport Coefficients

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