000			04328nam a22005055i 4500
001			978-0-8176-4600-4
003			DE-He213
005			20251006084437.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780817646004
020			_a99780817646004
024	7		_a10.1007/978-0-8176-4600-4 _2doi
082	0	4	_a003.3 _223
100	1		_aBellomo, Nicola. _eauthor.
245	1	0	_aModeling Complex Living Systems _h[electronic resource] / _cby Nicola Bellomo.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2008.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aModeling and Simulation in Science, Engineering and Technology
505	0		_aFrom 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.
520			_aUsing tools from mathematical kinetic theory and stochastic game theory, this work deals with the modeling of large complex systems in the applied sciences, particularly those comprised of several interacting individuals whose dynamics follow rules determined by some organized, or even "intelligent" ability. Traditionally, methods of mathematical kinetic theory have been applied to model the evolution of large systems of interacting classical or quantum particles. This book, on the other hand, examines the modeling of living systems as opposed to inert systems. The author develops new mathematical methods and tools-hopefully a "new" mathematics-toward the modeling of living systems. Such tools need to be far more complex than those dealing with systems of inert matter. 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. The presentation unfolds using the following common approach in each chapter: * Phenomenological interpretation of the physical system in the context of mathematical modeling * Derivation of the mathematical model using methods from mathematical kinetic theory for active particles * Simulations, parameter sensitivity analysis, and critical inspection of the derived model towards validation * Overview of presented ideas to improve existing models, with special emphasis on 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 * Methodological aspects related to multiscale modeling of large systems viewed as interconnected subsystems Modeling Complex Living Systems is a valuable resource for applied mathematicians, engineers, physicists, biologists, economists, and graduate students involved in modeling complex social systems and living matter in general.
650		0	_aMATHEMATICS.
650		0	_aBIOLOGY _xMATHEMATICS.
650		0	_aMATHEMATICAL PHYSICS.
650		0	_aENGINEERING MATHEMATICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aMATHEMATICAL MODELING AND INDUSTRIAL MATHEMATICS.
650	2	4	_aAPPLICATIONS OF MATHEMATICS.
650	2	4	_aMATHEMATICAL BIOLOGY IN GENERAL.
650	2	4	_aGAME THEORY, ECONOMICS, SOCIAL AND BEHAV. SCIENCES.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
650	2	4	_aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817645106
830		0	_aModeling and Simulation in Science, Engineering and Technology
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4600-4 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59718 _d59718