Modeling Complex Living Systems | Buch

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Cover: 9780817645106 | Modeling Complex Living Systems | Nicola Bellomo | Buch | xii | 2007

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Sprache: Englisch

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Beschreibung

Thesubjectofthisbookisthemodelingofcomplex systemsinthelife sciences constituted by a large number of interacting entities called active particles. Their physical state includes, in addition to geometrical and mechanical variables, a variable called the activity, which characterizes the speci?c living system to be modeled. Interactions among particles not only modify the microscopic state, but may generate proliferative and/or destructive phenomena. The aim of the book is to develop mathematical methods and tools, even a new mathematics, for the modeling of living systems. The background idea is that the modeling of living systems requires technically complex mathematical methods, which may be s- stantially di?erent from those used to deal with inert matter. The?rstpart ofthe bookdiscussesmethodological issues, namely the derivation of various general mathematical frameworks suitable to model particular systems of interest in the applied sciences. The second part presents the various models and applications. The mathematical approach used in the book is based on mathema- cal kinetic theoryfor active particles, whichleads tothederivation of evo- tion equations for a one-particle distribution function over the microscopic state. Two types of equations, to be regarded as a general mathematical framework for deriving the models, are derived corresponding to short and long range interactions.

Zusammenfassung

This book develops new mathematical methods and tools to model living systems. The material it presents can be used in such real-world applications as immunology, transportation engineering, and economics. 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.

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; and methodological aspects related to multiscale modeling of large systems viewed as interconnected subsystems. The book will be of interest applied mathematicians, engineers, physicists, biologists, economists, and graduate students involved in modeling complex social systems and living matter in general.

Inhaltsverzeichnis

From Scaling and Determinism to Kinetic Theory Representation.- Mathematical Structures of the Kinetic Theory for Active Particles.- Additional Mathematical Structures for Modeling Complex Systems.- Mathematical Frameworks.- Modeling of Social Dynamics and Economic Systems.- Mathematical Modeling.- Complex Biological Systems:.- Modeling Crowds and Swarms:Congested and Panic Flows.- Additional Concepts on the Modeling of Living Systems.

Erscheinungsjahr:	2007
Fachbereich:	Grundlagen
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	236
Reihe:	Modeling and Simulation in Science, Engineering and Technology
Inhalt:	xii 220 S. 37 s/w Illustr. 220 p. 37 illus.
ISBN-13:	9780817645106
ISBN-10:	0817645101
Sprache:	Englisch
Herstellernummer:	11693857
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Bellomo, Nicola
Auflage:	2008
Hersteller:	Birkhuser Boston Birkhäuser Boston Modeling and Simulation in Science, Engineering and Technology
Maße:	241 x 160 x 18 mm
Von/Mit:	Nicola Bellomo
Erscheinungsdatum:	14.11.2007
Gewicht:	0,524 kg

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