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  • © 2008

Mathematical Modeling of Biological Systems, Volume II

Epidemiology, Evolution and Ecology, Immunology, Neural Systems and the Brain, and Innovative Mathematical Methods

Birkhäuser
  • Unified presentation of mathematical modeling in the biological sciences
  • Presents state-of-the-art mathematical modeling and simulation techniques needed to examine central problems in the life sciences
  • Covers a diverse range of subjects having real-world applications to epidemiology, evolution, ecology, immunology, and neurology
  • For a broad audience of researchers, practitioners, and advanced students in applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics

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Table of contents (32 chapters)

  1. Front Matter

    Pages I-XVIII
  2. Epidemiology

    1. Front Matter

      Pages 1-1
    2. Modeling of the Invasion of a Fungal Disease over a Vineyard

      • Jean-Baptiste Burie, Agnès Calonnec, Michel Langlais
      Pages 11-21
    3. An Algorithm for Parameter Estimation in Nosocomial Infections

      • Nico Stollenwerk, Rafael Mikolajczyk
      Pages 23-34
  3. Evolution and Ecology

    1. Front Matter

      Pages 35-35
    2. Evolutionarily Stable Investment in Anti-Predatory Defences and Aposematic Signalling

      • Mark Broom, Graeme D. Ruxton, Michael P. Speed
      Pages 37-48
    3. The Tangled Nature Model of Evolutionary Ecology: An Overview

      • Simon Laird, Daniel Lawson, Henrik Jeldtoft Jensen
      Pages 49-62
    4. On the Impact ofWinter Conditions on the Dynamics of an Isolated Population

      • Lev V. Nedorezov, E.V. Volkova, Alexandr M. Sadykov
      Pages 87-99
    5. Planning for Biodiversity Conservation Using Stochastic Programming

      • Trevon Fuller, David P. Morton, Sahotra Sarkar
      Pages 101-107
    6. The Periodical Population Dynamics of Lottery Models Including the Effect of Undeveloped Seeds

      • Shigehide Iwata, Ryusuke Kon, Yasuhiro Takeuchi
      Pages 121-129
  4. Immunology

    1. Front Matter

      Pages 131-131
    2. An Automata-Based Microscopic Model Inspired by Clonal Expansion

      • Francesco Zanlungo, Sandro Rambaldi, Giorgio Turchetti
      Pages 133-144
    3. Architecture of Randomly Evolving Idiotypic Networks

      • Holger Schmidtchen, Ulrich Behn
      Pages 157-167
  5. Neural Systems and the Brain

    1. Front Matter

      Pages 183-183

About this book

This edited volume contains a selection of chapters that are an outgrowth of the - ropean Conference on Mathematical and Theoretical Biology (ECMTB05, Dresden, Germany, July 2005). The peer-reviewed contributions show that mathematical and computational approaches are absolutely essential to solving central problems in the life sciences, ranging from the organizational level of individual cells to the dynamics of whole populations. The contributions indicate that theoretical and mathematical biology is a diverse and interdisciplinary ?eld, ranging from experimental research linked to mathema- cal modelling to the development of more abstract mathematical frameworks in which observations about the real world can be interpreted and with which new hypotheses for testing can be generated. Today, much attention is also paid to the development of ef?cient algorithms for complex computations and visualization, notably in molecular biology and genetics. The ?eld of theoretical and mathematical biology and medicine has profound connections to many current problems of great relevance to society. The medical, industrial, and social interests in its development are in fact undisputable. Insights and predictions from mathematical modelling are used increasingly in de- sion support in medicine (e.g., immunology and spread of infectious diseases, cancer research, cardiovascular research, neurological research, optimization of medical tre- ments,imaging),environmentalandnaturemanagement,climateproblems,agriculture and management of natural resources. Fast developments in areas such as biotechn- ogy (e.g., genome projects, genetic modi?cation, tissue engineering) continue to add new focal points of activity to the ?eld. The contributions of this volume capture some of thesedevelopments.

Editors and Affiliations

  • Center for Information Services and High Performance Computing, Technische Universität Dresden, Germany

    Andreas Deutsch

  • Departamento de Matemáticas, Universidad de Alcalá, Spain

    Rafael Bravo de la Parra

  • Department of Theoretical Biology, Utrecht University, Padualaan 8, The Netherlands

    Rob J. de Boer

  • Mathematisch Instituut, Utrecht University, Budapestlaan 6, The Netherlands

    Odo Diekmann

  • Mathematical Sciences, Chalmers University of Technology, Göteborg University, Sweden

    Peter Jagers

  • Department of Mathematics and Statistics, University of Helsinki, Gustaf Hällströmin katu 2b, Finland

    Eva Kisdi

  • Fakultät für Gesundheitswissenschaften, Universität Bielefeld, Universitätsstr. 25, Germany

    Mirjam Kretzschmar

  • Institute of Physiology, Academy of Sciences of the Czech Republic, Videnska 1083, Czech Republic

    Petr Lansky

  • Section Theoretical Evolutionary Biology, Institute of Evolutionary and Ecological Sciences, Rijksuniversiteit Leiden, Kaiserstraat 63, The Netherlands

    Hans Metz

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access