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© 2016

Mathematical Models and Methods for Living Systems

Levico Terme, Italy 2014

  • Luigi Preziosi
  • Mark Chaplain
  • Andrea Pugliese
Book

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

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2167)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Thomas Hillen, Amanda Swan
    Pages 73-129
  3. Valentina Balbi, Pasquale Ciarletta
    Pages 211-274
  4. Dumitru Trucu, Pia Domschke, Alf Gerisch, Mark A. J. Chaplain
    Pages 275-321
  5. Back Matter
    Pages 323-324

About this book

Introduction

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.

Keywords

cell migration cancer modelling morphogenesis multiscale methods biomechanical modelling

Authors and affiliations

  1. 1.Politecnico di MilanoDip. MatematicaMilanoItaly
  2. 2.Dep. of Mathematical & StatisticalUniversity of AlbertaEdmontonCanada
  3. 3.School of MathematicsUniversity of MinnesotaMINNEAPOLISUSA
  4. 4.Mathematical SciencesPolitecnico di TorinoTorinoItaly
  5. 5.Dept. of MathematicsUniversity of DundeeDundeeUnited Kingdom

Editors and affiliations

  • Luigi Preziosi
    • 1
  • Mark Chaplain
    • 2
  • Andrea Pugliese
    • 3
  1. 1.Mathematical SciencesPolitecnico di TorinoTorinoItaly
  2. 2.School of Mathematics and StatisticsUniversity of St. AndrewsSt. AndrewsUnited Kingdom
  3. 3.Department of MathematicsUniversità di TrentoPovoItaly

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
  • Series Abbreviated Title Lect.Notes Mathematics
  • DOI https://doi.org/10.1007/978-3-319-42679-2
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-319-42678-5
  • eBook ISBN 978-3-319-42679-2
  • 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
  • Buy this book on publisher's site