Multiscale Problems in the Life Sciences From Microscopic to Macroscopic /

The aim of this volume that presents Lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of a hierarchy of models of complex systems in the natural sciences, with a speci...

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Bibliographic Details
Main Authors: Banasiak, Jacek (Author), Chaplain, Mark A. J. (Author), Miękisz, Jacek (Author)
Corporate Author: SpringerLink (Online service)
Other Authors: Capasso, Vincenzo (Editor), Lachowicz, Mirosław (Editor)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
Series:Lecture Notes in Mathematics, 1940
Subjects:
Online Access:Full Text via HEAL-Link
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100 1 |a Banasiak, Jacek.  |e author. 
245 1 0 |a Multiscale Problems in the Life Sciences  |h [electronic resource] :  |b From Microscopic to Macroscopic /  |c by Jacek Banasiak, Mark A. J. Chaplain, Jacek Miękisz ; edited by Vincenzo Capasso, Mirosław Lachowicz. 
246 3 |a Lectures given at the Banach Center and C.I.M.E. Joint Summer School held in Be¸dlewo, Poland September 4–9, 2006 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2008. 
300 |a XII, 330 p. 27 illus.  |b online resource. 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1940 
505 0 |a Positivity in Natural Sciences -- Rescaling Stochastic Processes: Asymptotics -- Modelling Aspects of Cancer Growth: Insight from Mathematical and Numerical Analysis and Computational Simulation -- Lins Between Microscopic and Macroscopic Descriptions -- Evolutionary Game Theory and Population Dynamics -- Erratum. 
520 |a The aim of this volume that presents Lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of a hierarchy of models of complex systems in the natural sciences, with a special attention to Biology and Medicine. Mastering complexity implies sharing different tools requiring much higher level of communication between different mathematical and scientific schools, for solving classes of problems of the same nature. Today more than ever, one of the most important challenges derives from the need to bridge parts of a system evolving at different time and space scales, especially with respect to computational affordability. As a result the content has a rather general character; the main role is played by stochastic processes, positive semigroups, asymptotic analysis, kinetic theory, continuum theory and game theory. 
650 0 |a Mathematics. 
650 0 |a Operator theory. 
650 0 |a Partial differential equations. 
650 0 |a Game theory. 
650 0 |a Probabilities. 
650 1 4 |a Mathematics. 
650 2 4 |a Partial Differential Equations. 
650 2 4 |a Operator Theory. 
650 2 4 |a Probability Theory and Stochastic Processes. 
650 2 4 |a Game Theory, Economics, Social and Behav. Sciences. 
700 1 |a Chaplain, Mark A. J.  |e author. 
700 1 |a Miękisz, Jacek.  |e author. 
700 1 |a Capasso, Vincenzo.  |e editor. 
700 1 |a Lachowicz, Mirosław.  |e editor. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783540783602 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1940 
856 4 0 |u http://dx.doi.org/10.1007/978-3-540-78362-6  |z Full Text via HEAL-Link 
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