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Modeling of Physiological Flows

  • Book
  • © 2012

Overview

Editors:
  1. Davide Ambrosi

    1. MOX - Department of Mathematics, Politecnico di Milano, Italy

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  2. Alfio Quarteroni

    1. MOX - Department of Mathematics, Politecnico di Milano, Italy
      Mathematics Institute of Computational Science and Engineering, École Polytechnique Fédérale de Laussane, Switzerland

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  3. Gianluigi Rozza

    1. Mathematics Institute of Computational Science and Engineering, École Polytechnique Fédérale de Laussane, Switzerland

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  • Contributions by the most important experts in the field
  • Several new topics and problems presented have arisen in the research carried out in the few last years
  • Extraordinary interdisciplinarity concerning expertises, topics, methodologies and models
  • Includes supplementary material: sn.pub/extras

Part of the book series: MS&A (MS&A, volume 5)

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-X
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  2. Assumptions in modelling of large artery hemodynamics

    • David A. Steinman
    Pages 1-18

  3. Simplified blood flow model with discontinuous vessel properties: Analysis and exact solutions

    • Eleuterio F. Toro, Annunziato Siviglia
    Pages 19-39

  4. Blood coagulation: A puzzle for biologists, a maze for mathematicians

    • Antonio Fasano, Rafael F. Santos, Adélia Sequeira
    Pages 41-75

  5. Numerical simulation of electrocardiograms

    • Muriel Boulakia, Miguel A. Fernández, Jean-Frédéric Gerbeau, Nejib Zemzemi
    Pages 77-106

  6. Mathematical and numerical methods for reaction-diffusion models in electrocardiology

    • Piero Colli-Franzone, Luca F. Pavarino, Simone Scacchi
    Pages 107-141

  7. Structurally motivated damage models for arterial walls. Theory and application

    • Anne M. Robertson, Michael R. Hill, Dalong Li
    Pages 143-185

  8. Arterial growth and remodelling is driven by hemodynamics

    • Luca Cardamone, Jay D. Humphrey
    Pages 187-203

  9. The VPH-Physiome Project: Standards, tools and databases for multi-scale physiological modelling

    • Peter Hunter, Chris Bradley, Randall Britten, David Brooks, Luigi Carotenuto, Richard Christie et al.
    Pages 205-250

  10. The role of the variational formulation in the dimensionally-heterogeneous modelling of the human cardiovascular system

    • Pablo J. Blanco, Raúl A. Feijóo
    Pages 251-288

  11. Multiscale modelling of hematologic disorders

    • Dmitry Fedosov, Igor Pivkin, Wenxiao Pan, Ming Dao, Bruce Caswell, George E. Karniadakis
    Pages 289-331

  12. Multiscale computational analysis of degradable polymers

    • Paolo Zunino, Simone Vesentini, Azzurra Porpora, Joao S. Soares, Alfonso Gautieri, Alberto Redaelli
    Pages 333-361

  13. Applications of variational data assimilation in computational hemodynamics

    • Marta D’Elia, Lucia Mirabella, Tiziano Passerini, Mauro Perego, Marina Piccinelli, Christian Vergara et al.
    Pages 363-394

  14. Quality open source mesh generation for cardiovascular flow simulations

    • Emilie Marchandise, Paolo Crosetto, Christophe Geuzaine, Jean-François Remacle, Emilie Sauvage
    Pages 395-414

  15. Back Matter

    Pages 415-415
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Keywords

About this book

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.

Editors and Affiliations

  • MOX - Department of Mathematics, Politecnico di Milano, Italy

    Davide Ambrosi, Alfio Quarteroni

  • Mathematics Institute of Computational Science and Engineering, École Polytechnique Fédérale de Laussane, Switzerland

    Alfio Quarteroni, Gianluigi Rozza

About the editors

Ecole Polytechnique Federale De Lausanne

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