Hydrodynamics of slender flexible filaments plays an important role in biology, human
physiology, locomotion of organisms, as well as biomedical devices. It is, therefore …

Cellular locomotion often involves the motion of thin, elastic filaments, such as cilia and
flagella, in viscous environments. The manuscript serves as a general introduction to the …

We develop a linearly scaling variant of the force coupling method [K. Yeo and MR Maxey, J.
Fluid Mech. 649, 205–231 (2010)] for computing hydrodynamic interactions among particles …

Well-posedness and applications of classical elastohydrodynamics for a swimming filament
Page 1 Nonlinearity PAPER • OPEN ACCESS Well-posedness and applications of classical …

Elastic filaments are vital to biological, physical and engineering systems, from cilia driving
fluid in the lungs to artificial swimmers and micro-robotics. Simulating slender structures …

The twisting and writhing of a cell body and associated mechanical stresses is an
underappreciated constraint on microbial self-propulsion. Multi-flagellated bacteria can even …

Semiflexible slender filaments are ubiquitous in nature and cell biology, including in the
cytoskeleton, where reorganization of actin filaments allows the cell to move and divide …

Slender fibres are ubiquitous in biology, physics and engineering, with prominent examples
including bacterial flagella and cytoskeletal fibres. In this setting, slender body theories …

Consider an inextensible closed filament immersed in a 2D Stokes fluid. Given a force
density F defined on this filament, we consider the problem of determining the tension σ on …

The last few years have witnessed an explosion of new numerical methods for filament
hydrodynamics. Aside from their ubiquity in biology, physics, and engineering, filaments …