A Quest Towards a Mathematical Theory of Living Systems

• Main Authors: Bellomo, Nicola (Author), Bellouquid, Abdelghani (Author), Gibelli, Livio (Author), Outada, Nisrine (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Series: Modeling and Simulation in Science, Engineering and Technology,
• Subjects: Mathematics.; System theory.; Mathematical models.; Biomathematics.; Mathematical and Computational Biology.; Mathematical Modeling and Industrial Mathematics.; Complex Systems.

This monograph aims to lay the groundwork for the design of a unified mathematical approach to the modeling and analysis of large, complex systems composed of interacting living things.  Drawing on twenty years of research in various scientific fields, it explores how mathematical kinetic theory and...

Table of Contents:

• On the "Complex" Interplay between Mathematics and Living Systems
• A Brief Introduction to the Mathematical Kinetic Theory of Classical Particles
• On the Search for a Structure: Toward a Mathematical Theory to Model Living Systems
• From the Mathematical Theory to Applications
• Modeling Social Behavioral Dynamics
• Mathematical Models of Crowd Dynamics in Complex Venues
• On the Search for a Mathematical Theory of Living Systems.