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 …

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 …

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

Mathematical Description of Microbial Biofilms Page 1 Copyright © by SIAM. Unauthorized
reproduction of this article is prohibited. SIAM REVIEW c 2010 Society for Industrial and Applied …

In this paper, we briefly review the progress made in the mathematical modeling of biofilms
over the last 30 years. Biofilms constitute a spectrum of dynamical microorganisms, whose …

In this article, we review mathematical models used to study the behaviour of suspensions of
micro-swimmers and the accompanying biophysical phenomena, with specific focus on …

We present a fluid-mechanical model of an individual cilium which incorporates discrete
representations of the dynein arms, the passive elastic structure of the axoneme including …

HEART SIMULATION BY AN IMMERSED BOUNDARY METHOD WITH FORMAL SECOND-ORDER
ACCURACY AND REDUCED NUMERICAL VISCOSITY Page 1 HEART SIMULATION BY AN …

We provide a description and computational investigation of an efficient method to
stochastically generate realistic pore structures. Smolarkiewicz and Winter introduced this …

Biofilm growth occurs in a variety of random porous media in a range of industrial processes;
prediction of its growth and subsequent influence on hydrodynamics is hence desirable. In …