Modeling Complex Living Systems: A Kinetic Theory and Stochastic Game Approach
Language: English
Published by Birkhauser, Boston, 2008
Series: Book 12 of 55 - Modeling and Simulation in Science, Engineering and Technology
- First Edition
- Hardcover
- Used
Seller: Pride and Prejudice-Books, Ballston Lake, NY, U.S.A.Pride and Prejudice-Books
AbeBooks seller since June 12, 1998
Condition: Used - As new
£ 13.39
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Add to basketItem description from seller
First Edition. Original Boards. As New. No Dust Jacket.
Seller Inventory # 020894
- Title
- Modeling Complex Living Systems: A Kinetic Theory and Stochastic Game Approach
- Author
- Bellomo, Nicola
- Publisher
- Birkhauser, Boston
- Publication year
- 2008
- Condition
- As New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0817645101
- ISBN 13
- 9780817645106
- Edition
- 1st Edition
- Series
- Book 12 of 55: Modeling and Simulation in Science, Engineering and Technology
"Synopsis" may belong to another edition of this title.
From the Back Cover
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 "intelligent" ability. Traditionally, methods of mathematical kinetic theory have been applied to model the evolution of large systems of interacting classical or quantum particles. This book, on the other hand, examines the modeling of living systems as opposed to inert systems.
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.
"About the title" may belong to another edition of this title.
Pride and Prejudice-Books
Ballston Lake, NY, U.S.A.
AbeBooks seller since June 12, 1998
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