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  • Book
  • Open Access
  • © 2021

Modeling Excitable Tissue

The EMI Framework

  • This is a brief text that is accessible for a large audience with a background in computational mathematics

  • The text introduces a state-of-the-art approach to simulation of excitable cells

  • Software is available for all the models presented in the text

Part of the book series: Simula SpringerBriefs on Computing (SBRIEFSC, volume 7)

Part of the book sub series: Reports on Computational Physiology (RCP)

Buying options

Softcover Book USD 49.99
Price excludes VAT (USA)

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvii
  2. Derivation of a Cell-Based Mathematical Model of Excitable Cells

    • Karoline Horgmo Jæger, Aslak Tveito
    Pages 1-13Open Access
  3. A Cell-Based Model for Ionic Electrodiffusion in Excitable Tissue

    • Ada J. Ellingsrud, Cécile Daversin-Catty, Marie E. Rognes
    Pages 14-27Open Access
  4. Modeling Cardiac Mechanics on a Sub-Cellular Scale

    • Åshild Telle, Samuel T. Wall, Joakim Sundnes
    Pages 28-43Open Access
  5. Operator Splitting and Finite Difference Schemes for Solving the EMI Model

    • Karoline Horgmo Jæger, Kristian Gregorius Hustad, Xing Cai, Aslak Tveito
    Pages 44-55Open Access
  6. Solving the EMI Equations using Finite Element Methods

    • Miroslav Kuchta, Kent-André Mardal, Marie E. Rognes
    Pages 56-69Open Access
  7. Iterative Solvers for EMI Models

    • Miroslav Kuchta, Kent-André Mardal
    Pages 70-86Open Access
  8. Improving Neural Simulations with the EMI Model

    • Alessio Paolo Buccino, Miroslav Kuchta, Jakob Schreiner, Kent-André Mardal
    Pages 87-98Open Access
  9. Back Matter

    Pages 99-100

About this book

This open access volume presents a novel computational framework for understanding how collections of excitable cells work. The key approach in the text is to model excitable tissue by representing the individual cells constituting the tissue. This is in stark contrast to the common approach where homogenization is used to develop models where the cells are not explicitly present. The approach allows for very detailed analysis of small collections of excitable cells, but computational challenges limit the applicability in the presence of large collections of cells.


  • applied mathematics
  • scientific computing
  • computational physiology
  • finite element methods
  • cardiac modelling
  • biomechanics
  • computational physiology
  • numerical methods
  • preconditioning
  • open access

Editors and Affiliations

  • Simula Research Laboratory, Fornebu, Norway

    Aslak Tveito, Marie E. Rognes

  • Department of Mathematics, University of Oslo, Oslo, Norway

    Kent-Andre Mardal

About the editors

Kent-Andre Mardal is a professor of mechanics at the University of Oslo and an adjunct research scientist at Simula Research Laboratory. He has published more than 90 scientific publications, including journal papers, two co-authored books and the co-edited the book about the FEniCS project, for which he was a core developer for many years.  Research interests include computational modeling of various life science applications and robust, stable and accurate numerical schemes.

Marie E. Rognes is a research professor at Simula Research Laboratory and a founding member of the Young Academy of Norway. She has over 50 scientific publications and has delivered numerous keynote addresses and invited talks, including a TEDx talk. Her research is primarily focused on mathematical and computational modelling of fluid flow in the brain, and this work has been partially funded by an ERC starting grant.

Aslak Tveito is a professor of scientific computing at the University of Oslo, and the CEO of Simula Research Laboratory. He has co-authored three text books, one research monograph and many journal papers on computational physiology. His research interests are related to the use of computational methods to understand the dynamics of collections of excitable cells.

Bibliographic Information

Buying options

Softcover Book USD 49.99
Price excludes VAT (USA)