The author develops new mathematical methods and tools-hopefully a "new" mathematics-toward the modeling of living systems. Such tools need to be far more complex than those dealing with systems of inert matter. 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 presentation unfolds using the following common approach in each chapter:

* Phenomenological interpretation of the physical system in the context of mathematical modeling

* Derivation of the mathematical model using methods from mathematical kinetic theory for active particles

* Simulations, parameter sensitivity analysis, and critical inspection of the derived model towards validation

* Overview of presented ideas to improve existing models, with special emphasis on 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

* Methodological aspects related to multiscale modeling of large systems viewed as interconnected subsystems

Modeling Complex LivingSystems  is a valuable resource for applied mathematicians, engineers, physicists, biologists, economists, and graduate students involved in modeling complex social systems and living matter in general.