Multiscale Models in Mechano and Tumor Biology

Modeling, Homogenization, and Applications

  • Alf Gerisch
  • Raimondo Penta
  • Jens Lang

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 122)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Raimondo Penta, Alf Gerisch
    Pages 1-26
  3. Niklas Kolbe, Mária Lukáčová-Medvid’ová, Nikolaos Sfakianakis, Bettina Wiebe
    Pages 73-91
  4. Pierre Degond, Diane Peurichard
    Pages 93-108
  5. Davide Ambrosi, Pasquale Ciarletta, Elena Danesi, Carlo de Falco, Matteo Taffetani, Paolo Zunino
    Pages 109-138
  6. Giulia Giantesio, Alessandro Musesti
    Pages 139-159
  7. Marta Zoppello, Antonio DeSimone, François Alouges, Laetitia Giraldi, Pierre Martinon
    Pages 161-182
  8. Back Matter
    Pages 183-195

About these proceedings


This book presents and discusses the state of the art and future perspectives in mathematical modeling and homogenization techniques with the focus on addressing key physiological issues in the context of multiphase healthy and malignant biological materials. The highly interdisciplinary content brings together contributions from scientists with complementary areas of expertise, such as pure and applied mathematicians, engineers, and biophysicists. The book also features the lecture notes from a half-day introductory course on asymptotic homogenization. These notes are suitable for undergraduate mathematics or physics students, while the other chapters are aimed at graduate students and researchers.


Multiphase biological materials Mineralized tissue Tumour invasion Mathematical multiscale modelling Homogenization methods Mathematical biology

Editors and affiliations

  • Alf Gerisch
    • 1
  • Raimondo Penta
    • 2
  • Jens Lang
    • 3
  1. 1.Department of Mathematics, Numerical Analysis and Scientific Computing GroupTechnische Universität DarmstadtDarmstadtGermany
  2. 2.School of Mathematics and StatisticsUniversity of GlasgowGlasgowUnited Kingdom
  3. 3.Department of Mathematics, Numerical Analysis and Scientific Computing GroupTechnische Universität DarmstadtDarmstadtGermany

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-73370-8
  • Online ISBN 978-3-319-73371-5
  • Series Print ISSN 1439-7358
  • Series Online ISSN 2197-7100
  • Buy this book on publisher's site
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