TY - BOOK AU - Banasiak,Jacek AU - Chaplain,Mark A.J. AU - Miękisz,Jacek AU - Capasso,Vincenzo AU - Lachowicz,Mirosław ED - SpringerLink (Online service) TI - Multiscale Problems in the Life Sciences: From Microscopic to Macroscopic T2 - Lecture Notes in Mathematics, SN - 9783540783626 AV - QA370-380 U1 - 515.353 23 PY - 2008/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Operator theory KW - Differential equations, partial KW - Distribution (Probability theory) KW - Partial Differential Equations KW - Operator Theory KW - Probability Theory and Stochastic Processes KW - Game Theory, Economics, Social and Behav. Sciences N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-3-540-78362-6 ER -