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 …

The remarkable processes that characterize living organisms, such as motility, self-healing
and reproduction, are fuelled by a continuous injection of energy at the microscale. The field …

Bacteria are among the oldest and most abundant species on Earth. Bacteria successfully
colonize diverse habitats and play a significant role in the oxygen, carbon, and nitrogen …

Fluid dynamics plays a crucial role in many cellular processes, including the locomotion of
cells such as bacteria and spermatozoa. These organisms possess flagella, slender …

This review summarizes theoretical progress in the field of active matter, placing it in the
context of recent experiments. This approach offers a unified framework for the mechanical …

Active matter encompasses systems whose individual constituents dissipate energy to exert
propelling forces on their environment. These systems exhibit dynamical phenomena with …

With remarkable precision and reproducibility, cells orchestrate the cooperative action of
thousands of nanometre-sized molecular motors to carry out mechanical tasks at much …

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

Bacteria predate plants and animals by billions of years. Today, they are the world's smallest
cells, yet they represent the bulk of the world's biomass and the main reservoir of nutrients …

We review theoretical models of individual motility as well as collective dynamics and
pattern formation of active particles. We focus on simple models of active dynamics with a …