Abdelghani Bellouquid's Books

A Quest Towards a Mathematical Theory of Living Systems

By: Nicola Bellomo,Abdelghani Bellouquid,Livio Gibelli,Nisrine Outada

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A Quest Towards a Mathematical Theory of Living Systems

By: Nicola Bellomo,Abdelghani Bellouquid,Livio Gibelli,Nisrine Outada

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.

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Page Count

191

Publisher

Birkhäuser

Published Date

ISBN 10

3319574361

ISBN 13

9783319574363

Mathematical Modeling of Complex Biological Systems

A Kinetic Theory Approach

By: Abdelghani Bellouquid,Marcello Delitala

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Mathematical Modeling of Complex Biological Systems

A Kinetic Theory Approach

By: Abdelghani Bellouquid,Marcello Delitala

This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systems whose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. It proposes a new biological model focused on the analysis of competition between cells of an aggressive host and cells of a corresponding immune system. Proposed models are related to the generalized Boltzmann equation. The book may be used for advanced graduate courses and seminars in biological systems modeling.

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Page Count

194

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817645039

ISBN 13

9780817645038

Mathematical Modeling of Complex Biological Systems

A Kinetic Theory Approach

By: Abdelghani Bellouquid,Marcello Delitala

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Mathematical Modeling of Complex Biological Systems

A Kinetic Theory Approach

By: Abdelghani Bellouquid,Marcello Delitala

Average ratings

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Solve jigsaw puzzle

Age

Page Count

194

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817645039

ISBN 13

9780817645038

A Quest Towards a Mathematical Theory of Living Systems

By: Nicola Bellomo,Abdelghani Bellouquid,Livio Gibelli,Nisrine Outada

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A Quest Towards a Mathematical Theory of Living Systems

By: Nicola Bellomo,Abdelghani Bellouquid,Livio Gibelli,Nisrine Outada

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

191

Publisher

Birkhäuser

Published Date

ISBN 10

3319574361

ISBN 13

9783319574363

Book's by Abdelghani Bellouquid

A Quest Towards a Mathematical Theory of Living Systems

A Quest Towards a Mathematical Theory of Living Systems

Mathematical Modeling of Complex Biological Systems

Mathematical Modeling of Complex Biological Systems

Mathematical Modeling of Complex Biological Systems

Mathematical Modeling of Complex Biological Systems

A Quest Towards a Mathematical Theory of Living Systems

A Quest Towards a Mathematical Theory of Living Systems

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