Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new
and promising methods for the numerical solution of nonlinear partial differential equations …

In this chapter we have presented mathematical modeling approaches to biological pattern
formation. While reaction-diffusion models are appropriate to describe the spatio-temporal …

We discuss two different types of Cellular Automata (CA): lattice-gas-based cellular
automata (LGCA) and the cellular Potts model (CPM), and describe their applications in …

It has been shown experimentally that contact interactions may influence the migration of
cancer cells. Previous works have modelized this thanks to stochastic, discrete models …

The process by which one may take a discrete model of a biophysical process and construct
a continuous model based upon it is of mathematical interest as well as being of practical …

The robustness of outcomes to the parameterization of behavioral rules is a crucial property
of any model aimed at simulating complex human systems. Schelling model of residential …

We present a single-cell based model for the growth and division of eucaryotic cells. The
fluid-elastic structure of the cells and extracellular matrix are represented within the …

Agent-based modeling is a powerful methodology to describe the occurence of complex
behavior in biological systems. The interaction of a large number of individuals (agents) may …

The aim of this paper is to introduce a method of verification of individual-based modeling
through a relevant example. We build two individual-based models for the movement of …

Cellular Automata Modeling of Complex Biochemical Systems Page 1 C Cellular Automata
Modeling of Complex Biochemical Systems Lemont B. Kier1 and Paul G. Seybold2 1Center for …