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

The scientific community has recognized that almost 99% of the microbial life on earth is
represented by biofilms. Considering the impacts of their sessile lifestyle on both natural and …

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 …

Interface problems arise in many applications. For example, when there are two different
materials, such as water and oil, or the same material but at different states, such as water …

The sharp-interface CURVIB approach of Ge and Sotiropoulos [L. Ge, F. Sotiropoulos, A
numerical method for solving the 3D unsteady incompressible Navier–Stokes equations in …

The six years that have passed since the publication of the first edition have brought
significant advances in both biofilm research and biofilm engineering, which have matured …

Peskin's Immersed Boundary Method has been widely used for simulating many fluid
mechanics and biology problems. One of the essential components of the method is the …

The membrane of the red blood cell RBC is easily deformed by shearing forces while
maintaining its local area nearly unchanged. This type of response is due to the structure of …

The method developed in this paper is motivated by Peskin's immersed boundary (IB)
method, and allows one to model the motion of flexible membranes or other structures …

In this paper we describe a spatially multidimensional (two-dimensional [2-D] and three-
dimensional [3-D]) particle-based approach for modeling the dynamics of multispecies …