Computational modeling of cardiac electrophysiology: A novel finite element approach

Date

2009-07-09

Author

Göktepe, Serdar

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

199
views

0
downloads

The key objective of this work is the design of an unconditionally stable, robust, efficient, modular, and easily expandable finite element-based simulation tool for cardiac electrophysiology. In contrast to existing formulations, we propose a global-local split of the system of equations in which the global variable is the fast action potential that is introduced as a nodal degree of freedom, whereas the local variable is the slow recovery variable introduced as an internal variable on the integration point level. Cell-specific excitation characteristics are thus strictly local and only affect the constitutive level. We illustrate the modular character of the model in terms of the FitzHugh-Nagumo model for oscillatory pacemaker cells and the Aliev-Panfilov model for non-oscillatory ventricular muscle cells. We apply an implicit Euler backward finite difference scheme for the temporal discretization and a finite element scheme for the spatial discretization. The resulting non-linear system of equations is solved with an incremental iterative Newton-Raphson solution procedure. Since this framework only introduces one single scalar-valued variable on the node level, it is extremely efficient, remarkably stable, and highly robust. The features of the general framework will be demonstrated by selected benchmark problems for cardiac physiology and a two-dimensional patient-specific cardiac excitation problem. Copyright (C) 2009 John Wiley & Sons, Ltd.

Subject Keywords

General Engineering, Applied Mathematics, Numerical Analysis

URI

https://hdl.handle.net/11511/40840

Journal

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

DOI

https://doi.org/10.1002/nme.2571

Collections

Department of Civil Engineering, Article

Suggestions

OpenMETU
Core

Computational modeling of electrocardiograms: A finite element approach toward cardiac excitation Kotikanyadanam, Mohan; Göktepe, Serdar; Kuhl, Ellen (Wiley, 2010-05-01) The objective of this work is the computational simulation of a patient-specific electrocardiogram (EKG) using a novel, robust, efficient, and modular finite element-based simulation tool for cardiac electrophysiology. We apply a two-variable approach in terms of a fast action potential and a slow recovery variable, whereby the latter phenomenologically summarizes the concentration of ionic currents. The underlying algorithm is based on a staggered solution scheme in which the action potential is introduced...
A quasi-incompressible and quasi-inextensible element formulation for transversely isotropic materials Dal, Hüsnü (Wiley, 2019-01-06) The contribution presents a new finite element formulation for quasi-inextensible and quasi-incompressible finite hyperelastic behavior of transeversely isotropic materials and addresses its computational aspects. The material formulation is presented in purely Eulerian setting and based on the additive decomposition of the free energy function into isotropic and anisotropic parts, where the former is further decomposed into isochoric and volumetric parts. For the quasi-incompressible response, the Q1P0 ele...
Unstructured grid generation and a simple triangulation algorithm for arbitrary 2-D geometries using object oriented programming Karamete, BK; Tokdemir, Turgut; Ger, M (Wiley, 1997-01-30) This paper describes the logic of a dynamic algorithm for a general 2D Delaunay triangulation of arbitrarily prescribed interior and boundary nodes. The complexity of the geometry is completely arbitrary. The scheme is free of specific restrictions on the input of the geometrical data. The scheme generates triangles whose associated circumcircles contain 'no nodal points except their vertices. There is no predefined limit for the number of points and the boundaries. The direction of generation of the triang...
Multi objective conceptual design optimization of an agricultural aerial robot (AAR) Özdemir, Segah; Tekinalp, Ozan; Department of Aerospace Engineering (2005) Multiple Cooling Multi Objective Simulated Annealing algorithm has been combined with a conceptual design code written by the author to carry out a multi objective design optimization of an Agricultural Aerial Robot. Both the single and the multi objective optimization problems are solved. The performance figures of merits for different aircraft configurations are compared. In this thesis the potential of optimization as a powerful design tool to the aerospace problems is demonstrated.
An Explicitly Decoupled Variational Multiscale Method for Incompressible, Non-Isothermal Flows Belenli, Mine A.; Kaya Merdan, Songül; Rebholz, Leo G. (Walter de Gruyter GmbH, 2015-01-01) We propose, analyze and test a fully decoupled, but still unconditionally stable and optimally accurate, variational multiscale stabilization (VMS) for incompressible, non-isothermal fluid flows. The VMS stabilization is implemented as a post-processing step, and thus can be used with existing codes. A full numerical analysis of the method is given that proves unconditional stability with respect to the timestep size, and that the method converges optimally in both time and space. Numerical tests are provid...

Citation Formats

S. Göktepe, “Computational modeling of cardiac electrophysiology: A novel finite element approach,” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, pp. 156–178, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40840.