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. The book will be a valuable resource to all involved in modeling complex social systems and living matter in general.

Preface From Scaling and Determinism to Kinetic Theory Representation Mathematical Structures of the Kinetic Theory for Active Particles Additional Mathematical Structures for Modeling Complex Systems Mathematical Frameworks for Discrete Activity Systems Modeling of Social Dynamics and Economic Systems Mathematical Modeling of Vehicular Traffic Flow Phenomena Complex Biological Systems: Mutations and Immune Competition Modeling Crowds and Swarms: Congested and Panic Flows Additional Concepts on the Modeling of Living Systems Collected Bibliography Index