Fractional calculus is at this stage an arena where many models are still to be introduced,
discussed and applied to real world applications in many branches of science and …

Physical and biogeochemical heterogeneity dramatically impacts fluid flow and reactive
solute transport behaviors in geological formations across scales. From micro pores to …

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

Physical heterogeneities are prevalent features of fracture systems and significantly impact
transport processes in aquifers across different spatiotemporal scales. Upscaling solute …

We review, systematize and discuss models of diffusion in neuronal tissue, by putting them
into an overarching physical context of coarse‐graining over an increasing diffusion length …

This Review illustrates the evaluation of permeability of lipid membranes from molecular
dynamics (MD) simulation primarily using water and oxygen as examples. Membrane …

Optical microscopy has for centuries been a key tool to study living cells with minimum
invasiveness. The advent of single molecule techniques over the past two decades has …

A growing number of biological, soft, and active matter systems are observed to exhibit
normal diffusive dynamics with a linear growth of the mean-squared displacement, yet with a …

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

Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …