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  • © 2008

Multiscale Problems in the Life Sciences

From Microscopic to Macroscopic

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

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xii
  2. Positivity in Natural Sciences

    • Jacek Banasiak
    Pages 1-89
  3. Rescaling Stochastic Processes: Asymptotics

    • Vincenzo Capasso, Daniela Morale
    Pages 91-146
  4. Lins Between Microscopic and Macroscopic Descriptions

    • Mirosław Lachowicz
    Pages 201-267
  5. Erratum

    • Springer-Verlag Berlin Heidelberg
    Pages 323-323
  6. Back Matter

    Pages 317-321

About this book

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
  • partial differential equations

Authors, Editors and Affiliations

  • Department of Mathematics & ADAMSS (Centre for Advanced Applied Mathematical and Statistical Sciences), University of Milan, Italy

    Vincenzo Capasso

  • Institute of Applied Mathematics and Mechanics, University of Warsaw, 02-097, Poland

    Mirosław Lachowicz, Jacek Miękisz

  • School of Mathematical Sciences, University of Kwa-Zulu-Natal, South Africa

    Jacek Banasiak

  • The SIMBIOS Centre Division of Mathematics, University of Dundee, DD1 4HN, Scotland

    Mark A. J. Chaplain

Bibliographic Information

  • Book Title: Multiscale Problems in the Life Sciences

  • Book Subtitle: From Microscopic to Macroscopic

  • Authors: Jacek Banasiak, Mark A. J. Chaplain, Jacek Miękisz

  • Editors: Vincenzo Capasso, Mirosław Lachowicz

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-540-78362-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2008

  • Softcover ISBN: 978-3-540-78360-2Published: 30 May 2008

  • eBook ISBN: 978-3-540-78362-6Published: 08 April 2008

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 330

  • Number of Illustrations: 27 b/w illustrations

  • Topics: Differential Equations, Operator Theory, Probability Theory, Game Theory

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions