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Mathematical Models and Methods for Living Systems

Levico Terme, Italy 2014

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  • © 2016

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Overview

Authors:
  1. Pasquale Ciarletta

    1. Politecnico di Milano, Dip. Matematica, Milano, Italy

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  2. Thomas Hillen

    1. Dep. of Mathematical & Statistical, University of Alberta, Edmonton, Canada

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  3. Hans Othmer

    1. School of Mathematics, University of Minnesota, MINNEAPOLIS, USA

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  4. Luigi Preziosi

    1. Mathematical Sciences, Politecnico di Torino, Torino, Italy

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  5. Dumitru Trucu

    1. Dept. of Mathematics, University of Dundee, Dundee, United Kingdom

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Editors:
  1. Luigi Preziosi

    1. Mathematical Sciences, Politecnico di Torino, Torino, Italy

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  2. Mark Chaplain

    1. School of Mathematics and Statistics, University of St. Andrews, St. Andrews, United Kingdom

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  3. Andrea Pugliese

    1. Department of Mathematics, Università di Trento, Povo, Italy

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  • A collaboration with CIRM, Trento
  • Provides an overview of different mathematical models and methods applied to cell and tissue behaviour
  • Gives many examples of application
  • Includes more than 200 explanatory figures

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2167)

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

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About this book

The aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application intrinsically requires the handling of phenomena occurring at different spatial scales and hence the use of multiscale methods.
Modelling and simulating the mechanisms that cells use to move, self-organise and develop in tissues is not only fundamental to an understanding of embryonic development, but is also relevant in tissue engineering and in other environmental and industrial processes involving the growth and homeostasis of biological systems. Growth and organization processes are also important in many tissue degeneration and regeneration processes, such as tumour growth, tissue vascularization, heart and muscle functionality, and cardio-vascular diseases.

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xi
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  2. Cell-Based, Continuum and Hybrid Models of Tissue Dynamics

    • Hans G. Othmer
    Pages 1-72
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  3. The Diffusion Limit of Transport Equations in Biology

    • Thomas Hillen, Amanda Swan
    Pages 73-129
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  4. Mathematical Models of the Interaction of Cells and Cell Aggregates with the Extracellular Matrix

    • L. Preziosi, M. Scianna
    Pages 131-210
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  5. Mathematical Modeling of Morphogenesis in Living Materials

    • Valentina Balbi, Pasquale Ciarletta
    Pages 211-274
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  6. Multiscale Computational Modelling and Analysis of Cancer Invasion

    • Dumitru Trucu, Pia Domschke, Alf Gerisch, Mark A. J. Chaplain
    Pages 275-321
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  7. Back Matter

    Pages 323-324
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Authors, Editors and Affiliations

  • Mathematical Sciences, Politecnico di Torino, Torino, Italy

    Luigi Preziosi, Luigi Preziosi

  • School of Mathematics and Statistics, University of St. Andrews, St. Andrews, United Kingdom

    Mark Chaplain

  • Department of Mathematics, Università di Trento, Povo, Italy

    Andrea Pugliese

  • Politecnico di Milano, Dip. Matematica, Milano, Italy

    Pasquale Ciarletta

  • Dep. of Mathematical & Statistical, University of Alberta, Edmonton, Canada

    Thomas Hillen

  • School of Mathematics, University of Minnesota, MINNEAPOLIS, USA

    Hans Othmer

  • Dept. of Mathematics, University of Dundee, Dundee, United Kingdom

    Dumitru Trucu

Bibliographic Information

  • Book Title: Mathematical Models and Methods for Living Systems

  • Book Subtitle: Levico Terme, Italy 2014

  • Authors: Pasquale Ciarletta, Thomas Hillen, Hans Othmer, Luigi Preziosi, Dumitru Trucu

  • Editors: Luigi Preziosi, Mark Chaplain, Andrea Pugliese

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-42679-2

  • Publisher: Springer Cham

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

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Softcover ISBN: 978-3-319-42678-5Published: 10 November 2016

  • eBook ISBN: 978-3-319-42679-2Published: 09 November 2016

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XI, 321

  • Number of Illustrations: 33 b/w illustrations, 78 illustrations in colour

  • Topics: Mathematical and Computational Biology, Biomedicine general, Applications of Mathematics

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