Mathematical Cardiac Electrophysiology

  • Piero Colli Franzone
  • Luca Franco Pavarino
  • Simone Scacchi
Part of the MS&A book series (MS&A, volume 13)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi
    Pages 1-19
  3. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi
    Pages 21-75
  4. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi
    Pages 77-122
  5. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi
    Pages 123-148
  6. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi
    Pages 149-173
  7. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi
    Pages 175-190
  8. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi
    Pages 191-206
  9. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi
    Pages 207-248
  10. Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi
    Pages 249-360
  11. Back Matter
    Pages 361-400

About this book

Introduction

This book covers the main mathematical and numerical models in computational electrocardiology, ranging from microscopic membrane models of cardiac ionic channels to macroscopic bidomain, monodomain, eikonal models and cardiac source representations. These advanced multiscale and nonlinear models describe the cardiac bioelectrical activity from the cell level to the body surface and are employed in both the direct and inverse problems of electrocardiology. The book also covers advanced numerical techniques needed to efficiently carry out large-scale cardiac simulations, including time and space discretizations, decoupling and operator splitting techniques, parallel finite element solvers. These techniques are employed in 3D cardiac simulations illustrating the excitation mechanisms, the anisotropic effects on excitation and repolarization wavefronts, the morphology of electrograms in normal and pathological tissue and some reentry phenomena. The overall aim of the book is to present rigorously the mathematical and numerical foundations of computational electrocardiology, illustrating the current research developments in this fast-growing field lying at the intersection of mathematical physiology, bioengineering and computational biomedicine. This book is addressed to graduate student and researchers in the field of applied mathematics, scientific computing, bioengineering, electrophysiology and cardiology.

Keywords

cardiac reaction-diffusion equations computational electrocardiology mathematical and numerical modeling of the heart parallel and scalable numerical solvers

Authors and affiliations

  • Piero Colli Franzone
    • 1
  • Luca Franco Pavarino
    • 2
  • Simone Scacchi
    • 3
  1. 1.Dipartimento di MatematicaUniversità degli Studi di PaviaPaviaItaly
  2. 2.Dipartimento di MatematicaUniversità degli Studi di MilanoMilanoItaly
  3. 3.Dipartimento di MatematicaUniversità degli Studi di MilanoMilanoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-04801-7
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-04800-0
  • Online ISBN 978-3-319-04801-7
  • Series Print ISSN 2037-5255
  • Series Online ISSN 2037-5263
  • About this book