Multiscale problems in the life sciences : from microscopic to macroscopic : lectures given at the Banach Center and C.I.M.E. joint summer school held in Będlewo, Poland, September 4-9, 2006 / Jacek Banasiak [and others] ; editors, Vincenzo Capasso, Mirosław Lachowicz.

Contributor(s): Banasiak, J | Capasso, Vincenzo, 1945- | Lachowicz, Mirosław | C.I.M.E. Summer School (2006 : Będlewo, Poland)
Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag): 1940.Publisher: Berlin : Springer, ©2008Description: 1 online resource (xii, 321 pages) : illustrations (some color)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540783626; 3540783628; 3540783601; 9783540783602Subject(s): Stochastic processes -- Congresses | Numerical analysis -- Congresses | Mathematics | Biological Science Disciplines | Medicine | Numerical analysis | Stochastic processesGenre/Form: Congress. | Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Multiscale problems in the life sciences.DDC classification: 511.8 LOC classification: QA274.A1 | .M85 2008ebQA3 | .L28 no. 1940Online resources: Click here to access online
Contents:
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.
Summary: 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.
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Includes bibliographical references and index.

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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.

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.

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