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 …

Single-particle tracking (SPT) is a key tool for quantitative analysis of dynamic biological
processes and has provided unprecedented insights into a wide range of systems such as …

Anomalous diffusion occurs in many physical and biological phenomena, when the growth
of the mean squared displacement (MSD) with time has an exponent different from one. We …

Countless systems in biology, physics, and finance undergo diffusive dynamics. Many of
these systems, including biomolecules inside cells, active matter systems and foraging …

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 …

This paper is concerned with the synchronization of fractional-order competitive neural
networks with reaction–diffusion terms and time delays. A novel method that combines the …

Diffusion processes are important in several physical, chemical, biological and human
phenomena. Examples include molecular encounters in reactions, cellular signalling, the …

Single-particle tracking is a powerful technique to investigate the motion of molecules or
particles. Here, we review the methods for analyzing the reconstructed trajectories, a …

Stochastic models based on random diffusivities, such as the diffusing-diffusivity approach,
are popular concepts for the description of non-Gaussian diffusion in heterogeneous media …

The growing interest in machine learning methods has raised the need for a careful study of
their application to the experimental single-particle tracking data. In this paper, we present …