The Resource A quest toward a mathematical theory of living systems, Nicola Bellomo...[et al.], (electronic book)
A quest toward a mathematical theory of living systems, Nicola Bellomo...[et al.], (electronic book)
Resource Information
The item A quest toward a mathematical theory of living systems, Nicola Bellomo...[et al.], (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item A quest toward a mathematical theory of living systems, Nicola Bellomo...[et al.], (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 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
 Language
 eng
 Extent
 1 online resource.
 Contents

 On the "Complex" Interplay between Mathematics and Living Systems
 A Brief Introduction to the Mathematical Kinetic Theory of Classical Particles
 On the Search for a Structure: Toward a Mathematical Theory to Model Living Systems
 From the Mathematical Theory to Applications
 Modeling Social Behavioral Dynamics
 Mathematical Models of Crowd Dynamics in Complex Venues
 On the Search for a Mathematical Theory of Living Systems
 Isbn
 9783319574363
 Label
 A quest toward a mathematical theory of living systems
 Title
 A quest toward a mathematical theory of living systems
 Statement of responsibility
 Nicola Bellomo...[et al.]
 Language
 eng
 Summary
 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
 Cataloging source
 YDX
 Dewey number
 570.1/51
 Index
 index present
 LC call number
 QH323.5
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName

 Bellomo, Nicola
 Bellouquid, Abdelghani
 Gibelli, Livio
 Outada, Nisrine
 Series statement
 Modeling and simulation in science, engineering and technology,
 http://library.link/vocab/subjectName

 Biomathematics
 Systems biology
 Label
 A quest toward a mathematical theory of living systems, Nicola Bellomo...[et al.], (electronic book)
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 On the "Complex" Interplay between Mathematics and Living Systems  A Brief Introduction to the Mathematical Kinetic Theory of Classical Particles  On the Search for a Structure: Toward a Mathematical Theory to Model Living Systems  From the Mathematical Theory to Applications  Modeling Social Behavioral Dynamics  Mathematical Models of Crowd Dynamics in Complex Venues  On the Search for a Mathematical Theory of Living Systems
 Dimensions
 unknown
 Extent
 1 online resource.
 Form of item
 online
 Isbn
 9783319574363
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Specific material designation
 remote
 System control number
 ocn994075439
 Label
 A quest toward a mathematical theory of living systems, Nicola Bellomo...[et al.], (electronic book)
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 On the "Complex" Interplay between Mathematics and Living Systems  A Brief Introduction to the Mathematical Kinetic Theory of Classical Particles  On the Search for a Structure: Toward a Mathematical Theory to Model Living Systems  From the Mathematical Theory to Applications  Modeling Social Behavioral Dynamics  Mathematical Models of Crowd Dynamics in Complex Venues  On the Search for a Mathematical Theory of Living Systems
 Dimensions
 unknown
 Extent
 1 online resource.
 Form of item
 online
 Isbn
 9783319574363
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Specific material designation
 remote
 System control number
 ocn994075439
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Aquesttowardamathematicaltheoryofliving/xHDEINJXYMY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Aquesttowardamathematicaltheoryofliving/xHDEINJXYMY/">A quest toward a mathematical theory of living systems, Nicola Bellomo...[et al.], (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>