C.I.M.E. Foundation Subseries

Mathematical Models and Methods for Living Systems

Levico Terme, Italy 2014

Authors: Ciarletta, P., Hillen, Th., Othmer, H., Preziosi, L., Trucu, D.

Editors: Preziosi, Luigi, Chaplain, Mark, Pugliese, Andrea (Eds.)

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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
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eBook $69.99
price for USA in USD
  • ISBN 978-3-319-42679-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA in USD
  • ISBN 978-3-319-42678-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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.

Table of contents (5 chapters)

Table of contents (5 chapters)
  • Cell-Based, Continuum and Hybrid Models of Tissue Dynamics

    Pages 1-72

    Othmer, Hans G.

  • The Diffusion Limit of Transport Equations in Biology

    Pages 73-129

    Hillen, Thomas (et al.)

  • Mathematical Models of the Interaction of Cells and Cell Aggregates with the Extracellular Matrix

    Pages 131-210

    Preziosi, L. (et al.)

  • Mathematical Modeling of Morphogenesis in Living Materials

    Pages 211-274

    Balbi, Valentina (et al.)

  • Multiscale Computational Modelling and Analysis of Cancer Invasion

    Pages 275-321

    Trucu, Dumitru (et al.)

Buy this book

eBook $69.99
price for USA in USD
  • ISBN 978-3-319-42679-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA in USD
  • ISBN 978-3-319-42678-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Models and Methods for Living Systems
Book Subtitle
Levico Terme, Italy 2014
Authors
Editors
  • Luigi Preziosi
  • Mark Chaplain
  • Andrea Pugliese
Series Title
C.I.M.E. Foundation Subseries
Series Volume
2167
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-42679-2
DOI
10.1007/978-3-319-42679-2
Softcover ISBN
978-3-319-42678-5
Edition Number
1
Number of Pages
XI, 321
Number of Illustrations
33 b/w illustrations, 78 illustrations in colour
Topics