Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Efficient simulation of three-dimensional anisotropic cardiac tissue using an adaptive mesh refinement method.

Elizabeth M Cherry1, Henry S Greenside, Craig S Henriquez

  • 1Department of Physics and Astronomy, Hofstra University, Hempstead, NY 11549, USA.

Chaos (Woodbury, N.Y.)
|August 30, 2003
PubMed
Summary

A new adaptive mesh refinement algorithm (AMRA) now simulates 3D anisotropic excitable media, offering significant speedups and memory savings for complex biological simulations.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

VizCOM: A Novel Tool for Advanced Visualization and Analysis of Cardiac Optical Mapping Data.

Computing in cardiology·2026
Same author

Reproducing Cardiac Ionic Model Properties Using a Discrete-Time Model.

Computing in cardiology·2026
Same author

Discovering Cardiac Action Potential Model Equations Using Sparse Identification of Nonlinear Dynamics.

Computing in cardiology·2026
Same author

Fast Parameterization of Human Ventricular Ionic Models Using CardioFit.

Computing in cardiology·2026
Same author

Efficient Generation of Populations of Cardiac Models.

Computing in cardiology·2026
Same author

Predicting complex time series with deep echo state networks.

Chaos (Woodbury, N.Y.)·2025

Area of Science:

  • Computational Biology
  • Biophysics
  • Numerical Analysis

Background:

  • Simulating biological electrical dynamics requires accurate and efficient computational models.
  • Existing methods struggle with the complexity of anisotropic and inhomogeneous biological tissues.
  • Space-time adaptive mesh refinement (AMRA) has shown promise for 1D and 2D systems.

Purpose of the Study:

  • To generalize the AMRA for simulating 3D anisotropic excitable media.
  • To assess the accuracy and efficiency of the generalized AMRA for 2D and 3D domains.
  • To evaluate the algorithm's potential for simulating cardiac electrical activity.

Main Methods:

  • Generalization of a space-time adaptive mesh refinement algorithm (AMRA) to 3D anisotropic media.
  • Simulation of Luo-Rudy 1 (LR1) and FitzHugh-Nagumo models in anisotropic and inhomogeneous 2D and 3D domains.

Related Experiment Videos

  • Comparison of AMRA performance against uniform space-time mesh algorithms.

    • Main Results:

    • The generalized AMRA accurately simulates wave propagation in 3D anisotropic media without accuracy loss.
    • Significant speedups (up to 50x) and memory savings (up to 30x) were achieved for 3D simulations.
    • The algorithm demonstrated efficiency for both Luo-Rudy 1 and FitzHugh-Nagumo models.

    Conclusions:

    • The generalized AMRA is a highly efficient and accurate method for simulating 3D anisotropic excitable media.
    • This algorithm holds potential for quantitative simulation of complex biological systems, such as cardiac electrical dynamics.
    • The AMRA enables large-scale, high-fidelity simulations on parallel computing architectures.