Authors:
- Written by top researchers in mathematical modeling based on over 20 years of research
- Provides a unified framework for a mathematical approach to the modeling and analysis of living systems
- Will contribute to the development of new tools and strategies, if not a new mathematical theory, for understanding living systems
- Includes supplementary material: sn.pub/extras
- Includes supplementary material: sn.pub/extras
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
The first chapter discusses the main features of living systems and outlines a strategy for their modeling. The following chapters then explore some of the methods needed to potentially achieve this in practice. Chapter Two provides a brief introduction to the mathematical kinetic theory of classical particles, with special emphasis on the Boltzmann equation; the Enskog equation,mean field models, and Monte Carlo methods are also briefly covered. Chapter Three uses concepts from evolutionary game theory to derive mathematical structures that are able to capture the complexity features of interactions within living systems. The book then shifts to exploring the relevant applications of these methods that can potentially be used to derive specific, usable models. The modeling of social systems in various contexts is the subject of Chapter Five, and an overview of modeling crowd dynamics is given in Chapter Six, demonstrating how this approach can be used to model the dynamics of multicellular systems. The final chapter considers some additional applications before presenting an overview of open problems. The authors then offer their own speculations on the conceptual paths that may lead to a mathematical theory of living systems hoping to motivate future research activity in the field.
A truly unique contribution to the existing literature, A Quest Toward a Mathematical Theory of Living Systems is an important book that will no doubt have a significant influence on the future directions of the field. It will be of interest to mathematical biologists, systems biologists, biophysicists, and other researchers working on understanding the complexities of living systems.
Reviews
“A Quest Towards a Mathematical Theory of Living Systems should prove to be aninteresting book, especially for those with interests in collective behavior, emergent phenomenon, and mathematical approaches to studying such phenomena. … I recommend this book as a point of entry into this popular field of current research in the mathematical life sciences.” (Jason M. Graham, MAA Reviews, December, 2017)
Authors and Affiliations
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Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia
Nicola Bellomo
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Ecole Nationale des Sciences Appliquées de Marrakech, Académie Hassan II Des Sciences Et Techniques, Cadi Ayyad Unviersity, Marrakech, Morocco
Abdelghani Bellouquid
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School of Engineering, University of Warwick, Coventry, United Kingdom
Livio Gibelli
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Mathematics and Population Dynamics Laboratory, UMMISCO, Faculty of Sciences of Semlalia of Marrakech, Cadi Ayyad University, Marrakech, Morocco
Nisrine Outada
Bibliographic Information
Book Title: A Quest Towards a Mathematical Theory of Living Systems
Authors: Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-3-319-57436-3
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-57435-6Published: 21 July 2017
Softcover ISBN: 978-3-319-86162-3Published: 02 August 2018
eBook ISBN: 978-3-319-57436-3Published: 13 July 2017
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 1
Number of Pages: XIII, 181
Number of Illustrations: 3 b/w illustrations, 27 illustrations in colour
Topics: Mathematical and Computational Biology, Mathematical Modeling and Industrial Mathematics, Complex Systems