Overview

This book develops new mathematical methods and tools to model living systems. The material it presents can be used in such real-world applications as immunology, transportation engineering, and economics. The first part of the book deals with deriving general evolution equations that can be customized to particular systems of interest in the applied sciences. The second part of the book deals with various models and applications. Specific topics covered include: modeling of the competition between cells of an aggressive invasive agent and cells of the immune system; modeling of vehicular traffic flow; modeling of swarms and crowd dynamics in complex geometric environments; and methodological aspects related to multiscale modeling of large systems viewed as interconnected subsystems. The book will be of interest applied mathematicians, engineers, physicists, biologists, economists, and graduate students involved in modeling complex social systems and living matter in general.