Dynamics of Biological Systems

Dynamics of Biological Systems introduces computational methods for simulating spatial diffusion processes in excitable media (such as the human heart), as well as mathematical tools for working with systems of nonlinear ordinary and partial differential equations (such as neuronal activation and disease diffusion). The mathematical models and computer simulations offer insight into the dynamics of temporal and spatial biological systems, including cardiac pacemakers, artificial electrical defibrillation, pandemics, pattern formation, flocking behavior, the interaction of autonomous agents, and hierarchical and structured network topologies. Tools from complex systems and complex networks are also presented for dealing with real phenomenological systems.

MATLAB implementations of algorithms and case studies are available on the author’s website.