Modeling of Physiological Flows

  • Davide Ambrosi
  • Alfio Quarteroni
  • Gianluigi Rozza

Part of the MS&A — Modeling, Simulation and Applications book series (MS&A, volume 5)

Table of contents

  1. Front Matter
    Pages I-X
  2. Antonio Fasano, Rafael F. Santos, Adélia Sequeira
    Pages 41-75
  3. Muriel Boulakia, Miguel A. Fernández, Jean-Frédéric Gerbeau, Nejib Zemzemi
    Pages 77-106
  4. Piero Colli-Franzone, Luca F. Pavarino, Simone Scacchi
    Pages 107-141
  5. Anne M. Robertson, Michael R. Hill, Dalong Li
    Pages 143-185
  6. Luca Cardamone, Jay D. Humphrey
    Pages 187-203
  7. Peter Hunter, Chris Bradley, Randall Britten, David Brooks, Luigi Carotenuto, Richard Christie et al.
    Pages 205-250
  8. Dmitry Fedosov, Igor Pivkin, Wenxiao Pan, Ming Dao, Bruce Caswell, George E. Karniadakis
    Pages 289-331
  9. Paolo Zunino, Simone Vesentini, Azzurra Porpora, Joao S. Soares, Alfonso Gautieri, Alberto Redaelli
    Pages 333-361
  10. Marta D’Elia, Lucia Mirabella, Tiziano Passerini, Mauro Perego, Marina Piccinelli, Christian Vergara et al.
    Pages 363-394
  11. Emilie Marchandise, Paolo Crosetto, Christophe Geuzaine, Jean-François Remacle, Emilie Sauvage
    Pages 395-414
  12. Back Matter
    Pages 415-415

About this book

Introduction

This book offers a mathematical update of the state of the art of the research in the field of mathematical and numerical models of the circulatory system. It is structured into different chapters, written by outstanding experts in the field. Many fundamental issues are considered, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls, and the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and efficient simulation techniques, and pay constant attention to applications of relevant clinical interest. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling the cardiovascular system or, more broadly, physiological flows.

Keywords

biomedical engineering computer applications in life sciences electro-physio-cardiology human physiology mathematical modelling and numerical simulation

Editors and affiliations

  • Davide Ambrosi
    • 1
  • Alfio Quarteroni
    • 1
    • 2
  • Gianluigi Rozza
    • 2
  1. 1.MOX - Department of MathematicsPolitecnico di MilanoItaly
  2. 2.Mathematics Institute of Computational Science and EngineeringÉcole Polytechnique Fédérale de LaussaneSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-88-470-1935-5
  • Copyright Information Springer Milan 2012
  • Publisher Name Springer, Milano
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-88-470-1934-8
  • Online ISBN 978-88-470-1935-5
  • Series Print ISSN 2037-5255
  • Series Online ISSN 2037-5263
  • About this book