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Multiscale Problems in the Life Sciences

From Microscopic to Macroscopic

  • Jacek Banasiak
  • Mark A. J. Chaplain
  • Jacek Miękisz
  • Vincenzo Capasso
  • Mirosław Lachowicz

Part of the Lecture Notes in Mathematics book series (LNM, volume 1940)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Jacek Banasiak
    Pages 1-89
  3. Vincenzo Capasso, Daniela Morale
    Pages 91-146
  4. Mirosław Lachowicz
    Pages 201-267
  5. Springer-Verlag Berlin Heidelberg
    Pages 323-323
  6. Back Matter
    Pages 317-321

About this book

Introduction

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.

Keywords

Simulation Stochastic Processes calculus game theory linear operators modeling numerical analysis reaction diffusion systems stochastic analysis stochastic process

Authors and affiliations

  • Jacek Banasiak
    • 1
  • Mark A. J. Chaplain
    • 2
  • Jacek Miękisz
    • 3
  1. 1.School of Mathematical SciencesUniversity of Kwa-Zulu-NatalSouth Africa
  2. 2.The SIMBIOS Centre Division of MathematicsUniversity of DundeeDD1 4HNScotland
  3. 3.Institute of Applied Mathematics and MechanicsUniversity of Warsaw02-097Poland

Editors and affiliations

  • Vincenzo Capasso
    • 1
  • Mirosław Lachowicz
    • 2
  1. 1.Department of Mathematics & ADAMSS (Centre for Advanced Applied Mathematical and Statistical Sciences)University of MilanItaly
  2. 2.Institute of Applied Mathematics and MechanicsUniversity of Warsaw02-097Poland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-78362-6
  • Copyright Information Springer Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-78360-2
  • Online ISBN 978-3-540-78362-6
  • Series Print ISSN 0075-8434
  • Buy this book on publisher's site