The interactions between incompressible fluid flows and immersed structures are nonlinear
multi-physics phenomena that have applications to a wide range of scientific and …

We review the application of mathematical modeling to understanding the behavior of
populations of chemotactic bacteria. The application of continuum mathematical models, in …

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 …

Many different single-cell-based models have been developed and applied to biological and
medical problems. Computational approaches used are Monte-Carlo simulations, energy …

We present an immersed interface method for the incompressible Navier–Stokes equations
capable of handling both rigid and flexible boundaries. The immersed boundaries are …

We predict the amplification of mechanical stress, force, and torque on an adherent cell due
to flow within a narrow microchannel. We model this system as a semicircular bulge on a …

Biofilm processes are of interest to researchers in a variety of fields including
bioremediation, oil recovery, wastewater treatment, medicine, and dentistry. In this paper we …

We present an implicit immersed boundary method for the incompressible Navier–Stokes
equations capable of handling three-dimensional membrane–fluid flow interactions. The …

We investigate the instability and subsequent dynamics of a closed rod with twist and bend
in a viscous, incompressible fluid. A new version of the immersed boundary (IB) method is …

Information-carrying signals in the real world are often obscured by noise. A challenge for
any system is to filter the signal from the corrupting noise. This task is particularly acute for …