Active colloids are self-propelled particles moving in viscous fluids by consuming fuel from
their surroundings. Here, we review the numerical and theoretical modeling of active …

Medical micro/nanorobots have received tremendous attention over the past decades owing
to their potential to be navigated into hard-to-reach tissues for a number of biomedical …

Differently from passive Brownian particles, active particles, also known as self-propelled
Brownian particles or microswimmers and nanoswimmers, are capable of taking up energy …

We generalize the Vicsek model to describe the collective behavior of polar circle swimmers
with local alignment interactions. While the phase transition leading to collective motion in …

How do flocks, herds and swarms move through disordered environments? The answer to
this question is crucial not only to animal groups in the wild, but also to effectively all …

It was proved that the solution to a time-fractional partial differential equation lacks regularity
at the initial time t= 0, which is often inconsistent with the physical problem being modeled …

We study (time) fractional Allen–Cahn and Cahn–Hilliard phase-field models to account for
the anomalously subdiffusive transport behavior in heterogeneous porous materials or …

Nanotherapies based on micelles, liposomes, polymersomes, nanocapsules, magnetic
nanoparticles, and noble metal nanoparticles have been at the forefront of drug delivery in …

Active colloids are an emergent class of out-of-equilibrium materials demonstrating complex
collective phases and tunable functionalities. Microscopic particles energized by external …

Chemotactic migration of bacteria—their ability to direct multicellular motion along chemical
gradients—is central to processes in agriculture, the environment, and medicine. However …