Modeling Complex Living Systems

• Main Author: Bellomo, Nicola (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2008.
• Series: Modeling and Simulation in Science, Engineering and Technology
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Game theory.; Mathematical models.; Biomathematics.; Physics.; Mathematical Modeling and Industrial Mathematics.; Applications of Mathematics.; Mathematical and Computational Biology.; Game Theory, Economics, Social and Behav. Sciences.; Mathematical Methods in Physics.; Appl.Mathematics/Computational Methods of Engineering.

Using tools from mathematical kinetic theory and stochastic game theory, this work deals with the modeling of large complex systems in the applied sciences, particularly those comprised of several interacting individuals whose dynamics follow rules determined by some organized, or even "intelli...

Table of Contents:

• 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
• Modeling of Social Dynamics and Economic Systems
• Mathematical Modeling
• Complex Biological Systems:
• Modeling Crowds and Swarms:Congested and Panic Flows
• Additional Concepts on the Modeling of Living Systems.