Anomalous diffusion, aging, and nonergodicity of scaled Brownian motion with fractional Gaussian noise: Overview of related experimental observations and models
How does a systematic time-dependence of the diffusion coefficient D (t) affect the ergodic
and statistical characteristics of fractional Brownian motion (FBM)? Here, we answer this …
and statistical characteristics of fractional Brownian motion (FBM)? Here, we answer this …
Mechanisms underlying anomalous diffusion in the plasma membrane
D Krapf - Current topics in membranes, 2015 - Elsevier
The plasma membrane is a complex fluid where lipids and proteins undergo diffusive motion
critical to biochemical reactions. Through quantitative imaging analyses such as single …
critical to biochemical reactions. Through quantitative imaging analyses such as single …
Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking
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 …
have uncovered significant deviations from the laws of Brownian motion in a variety of …
Elucidating the origin of heterogeneous anomalous diffusion in the cytoplasm of mammalian cells
Diffusion of tracer particles in the cytoplasm of mammalian cells is often anomalous with a
marked heterogeneity even within individual particle trajectories. Despite considerable …
marked heterogeneity even within individual particle trajectories. Despite considerable …
Loss of lamin A function increases chromatin dynamics in the nuclear interior
Chromatin is organized in a highly ordered yet dynamic manner in the cell nucleus, but the
principles governing this organization remain unclear. Similarly, it is unknown whether, and …
principles governing this organization remain unclear. Similarly, it is unknown whether, and …
Time averaging and emerging nonergodicity upon resetting of fractional Brownian motion and heterogeneous diffusion processes
How different are the results of constant-rate resetting of anomalous-diffusion processes in
terms of their ensemble-averaged versus time-averaged mean-squared displacements …
terms of their ensemble-averaged versus time-averaged mean-squared displacements …
Anomalous diffusion and nonergodicity for heterogeneous diffusion processes with fractional Gaussian noise
Heterogeneous diffusion processes (HDPs) feature a space-dependent diffusivity of the form
D (x)= D 0| x| α. Such processes yield anomalous diffusion and weak ergodicity breaking …
D (x)= D 0| x| α. Such processes yield anomalous diffusion and weak ergodicity breaking …
Anomalous diffusion, non-Gaussianity, nonergodicity, and confinement in stochastic-scaled Brownian motion with diffusing diffusivity dynamics
Scaled Brownian motions (SBMs) with power-law time-dependent diffusivity have been used
to describe various types of anomalous diffusion yet Gaussian observed in granular gases …
to describe various types of anomalous diffusion yet Gaussian observed in granular gases …
Guidelines for the fitting of anomalous diffusion mean square displacement graphs from single particle tracking experiments
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 …
and it is commonly analyzed by the time-averaged mean square displacement (MSD) of the …
[HTML][HTML] Multiscale modeling of genome organization with maximum entropy optimization
ABSTRACT Three-dimensional (3D) organization of the human genome plays an essential
role in all DNA-templated processes, including gene transcription, gene regulation, and …
role in all DNA-templated processes, including gene transcription, gene regulation, and …