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  • Conference proceedings
  • © 2017

Multiscale Models in Mechano and Tumor Biology

Modeling, Homogenization, and Applications

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

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Table of contents (8 papers)

  1. Front Matter

    Pages i-xiv
  2. An Introduction to Asymptotic Homogenization

    • Raimondo Penta, Alf Gerisch
    Pages 1-26
  3. Numerical Simulation of a Contractivity Based Multiscale Cancer Invasion Model

    • Niklas Kolbe, Mária Lukáčová-Medvid’ová, Nikolaos Sfakianakis, Bettina Wiebe
    Pages 73-91
  4. Modelling Tissue Self-Organization: From Micro to Macro Models

    • Pierre Degond, Diane Peurichard
    Pages 93-108
  5. A Multiscale Modeling Approach to Transport of Nano-Constructs in Biological Tissues

    • Davide Ambrosi, Pasquale Ciarletta, Elena Danesi, Carlo de Falco, Matteo Taffetani, Paolo Zunino
    Pages 109-138
  6. A Continuum Model of Skeletal Muscle Tissue with Loss of Activation

    • Giulia Giantesio, Alessandro Musesti
    Pages 139-159
  7. Optimal Control of Slender Microswimmers

    • Marta Zoppello, Antonio DeSimone, François Alouges, Laetitia Giraldi, Pierre Martinon
    Pages 161-182
  8. Back Matter

    Pages 183-195

About this book

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.


Editors and Affiliations

  • Department of Mathematics, Numerical Analysis and Scientific Computing Group, Technische Universität Darmstadt, Darmstadt, Germany

    Alf Gerisch, Jens Lang

  • School of Mathematics and Statistics, University of Glasgow, Glasgow, United Kingdom

    Raimondo Penta

Bibliographic Information

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
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