A Quest Towards a Mathematical Theory of Living Systems

Nonfiction, Science & Nature, Mathematics, Applied, Science
Cover of the book A Quest Towards a Mathematical Theory of Living Systems by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada ISBN: 9783319574363
Publisher: Springer International Publishing Publication: July 13, 2017
Imprint: Birkhäuser Language: English
Author: Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
ISBN: 9783319574363
Publisher: Springer International Publishing
Publication: July 13, 2017
Imprint: Birkhäuser
Language: English

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 evolutionary game theory can be used to understand the complex interplay between mathematical sciences and the dynamics of living systems.  The authors hope this will contribute to the development of new tools and strategies, if not a new mathematical theory.

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 evolutionary game theory can be used to understand the complex interplay between mathematical sciences and the dynamics of living systems.  The authors hope this will contribute to the development of new tools and strategies, if not a new mathematical theory.

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.

More books from Springer International Publishing

Cover of the book From Biomolecules to Chemofossils by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book Mathematics Education in the Early Years by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book Space Resource Utilization: A View from an Emerging Space Faring Nation by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book Engineering Computational Emotion - A Reference Model for Emotion in Artificial Systems by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book Psychological Ownership and Consumer Behavior by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book Innovation and Transformation by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book As the Witnesses Fall Silent: 21st Century Holocaust Education in Curriculum, Policy and Practice by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book Growing up Working Class by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book Spirit of the Arts by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book The Sustainable Role of the Tree in Environmental Protection Technologies by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book Machine Learning in Medicine - Cookbook Two by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book Recombinant Antibodies for Infectious Diseases by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book Paul J. Crutzen: A Pioneer on Atmospheric Chemistry and Climate Change in the Anthropocene by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book Application of FPGA to Real‐Time Machine Learning by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
Cover of the book Sustainable Development Research and Practice in Mexico and Selected Latin American Countries by Nicola Bellomo, Abdelghani Bellouquid, Livio Gibelli, Nisrine Outada
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy