Multiscale Problems in the Life Sciences

From Microscopic to Macroscopic
2008
ISBN: 978-3-540-78360-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1940, 330 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1070 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Banasiak, Jacek

Capasso, Vincenzo

Lachowicz, Miroslaw

Miekisz, Jacek

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

Inhaltsverzeichnis

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.