This review highlights recent efforts on applying electron microscopy (EM) to soft (including
biological) nanomaterials. We will show how developments of both the hardware and …

Individual proteins and protein complexes undergo various motion types, including free
diffusion, confinement, subdiffusion and directed motion. Different motion behaviours reflect …

Deviations from Brownian motion leading to anomalous diffusion are found in transport
dynamics from quantum physics to life sciences. The characterization of anomalous diffusion …

Optical tweezers are tools made of light that enable contactless pushing, trap**, and
manipulation of objects, ranging from atoms to space light sails. Since the pioneering work …

Modern single-particle-tracking techniques produce extensive time-series of diffusive motion
in a wide variety of systems, from single-molecule motion in living-cells to movement …

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 …

It is well established that a wide variety of phenomena in cellular and molecular biology
involve anomalous transport eg the statistics for the motility of cells and molecules are …

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 …

How do nonlinear clocks in time and/or space affect the fundamental properties of a
stochastic process? Specifically, how precisely may ergodic processes such as fractional …

This study proposes a general parameter estimation neural network (PENN) to jointly
identify the system parameters and the noise parameters of a stochastic differential equation …