Mammalian fertilization requires the coordinated activity of motile spermatozoa, muscular
contractions of the uterus and oviduct, as well as ciliary beating. These elastic structures …

This paper is concerned with the mathematical structure of the immersed boundary (IB)
method, which is intended for the computer simulation of fluid–structure interaction …

We have developed a fluid–mechanical model of a eucaryotic axoneme that couples the
internal force generation of dynein molecular motors, the passive elastic mechanics of …

The method of regularized Stokeslets is a Lagrangian method for computing Stokes flow
driven by forces distributed at material points in a fluid. It is based on the superposition of …

A perspective is given on fictitious domain methods for deformable bodies that exert large
motions induced by unsteady flow. In these methods an Eulerian and Lagrangian …

The image system for the method of regularized Stokeslets is developed and implemented.
The method uses smooth localized functions to approximate a delta distribution in the …

Certain bacteria, such as Escherichia coli (E. coli) and Salmonella typhimurium (S.
typhimurium), use multiple flagella often concentrated at one end of their bodies to induce …

Cilia and flagella are ubiquitous in nature and are known to help in transport and swimming
at the cellular scale by performing oscillations. Fundamental to these periodic waveforms is …

In this paper, a two-layer Newtonian fluid model consisting of an upper mucus layer and a
lower periciliary layer (PCL) is developed to simulate the muco-ciliary transport process. The …

For reproduction, most fish species adopt external fertilization: their spermatozoa are
delivered in the external milieu (marine-or freshwater) that represents both a drastic …