Computational modeling of electrocardiograms: A finite element approach toward cardiac excitation

Date

2010-05-01

Author

Kotikanyadanam, Mohan
Göktepe, Serdar
Kuhl, Ellen

Metadata

Show full item record

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

Item Usage Stats

86
views

0
downloads

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 globally as nodal degree of freedom, while the recovery variable is treated locally as internal variable on the integration point level. We introduce an unconditionally stable implicit backward Euler scheme to integrate the evolution equations for both variables in time, and an incremental iterative Newton-Raphson scheme to solve the resulting nonlinear system of equations. In a straightforward post-processing step, we calculate the flux of the action potential and integrate it over the entire domain to obtain the heart vector. The projection of the heart vector onto six pre-defined directions in space defines a six-lead EKG. We illustrate its generation in terms of a magnetic resonance-based patient-specific heart geometry and discuss the clinical implications of the computational electrocardiography. Copyright (C) 2009 John Wiley & Sons, Ltd.

Subject Keywords

Modelling and Simulation, Computational Theory and Mathematics, Software, Applied Mathematics, Molecular Biology, Biomedical Engineering

URI

https://hdl.handle.net/11511/37318

Journal

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING

DOI

https://doi.org/10.1002/cnm.1273

Collections

Department of Civil Engineering, Article

Suggestions

OpenMETU
Core

Computational modeling of chemo-electro-mechanical coupling: A novel implicit monolithic finite element approach Wong, J.; Göktepe, Serdar; Kuhl, E. (Wiley, 2013-10-01) Computational modeling of the human heart allows us to predict how chemical, electrical, and mechanical fields interact throughout a cardiac cycle. Pharmacological treatment of cardiac disease has advanced significantly over the past decades, yet it remains unclear how the local biochemistry of an individual heart cell translates into global cardiac function. Here, we propose a novel, unified strategy to simulate excitable biological systems across three biological scales. To discretize the governing chemic...
Computational modeling of passive myocardium Göktepe, Serdar; Wong, Jonathan; Kuhl, Ellen (Wiley, 2011-01-01) This work deals with the computational modeling of passive myocardial tissue within the framework ofmixed, non-linear finite element methods. We consider a recently proposed, convex, anisotropic hyperelastic model that accounts for the locally orthotropic micro-structure of cardiac muscle. A coordinate-free representation of anisotropy is incorporated through physically relevant invariants of the Cauchy-Green deformation tensors and structural tensors of the corresponding material symmetry group. This model...
Computational modeling of cardiac electrophysiology: A novel finite element approach Göktepe, Serdar (Wiley, 2009-07-09) 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 poin...
Domain-Structured Chaos in a Hopfield Neural Network Akhmet, Marat (World Scientific Pub Co Pte Lt, 2019-12-30) In this paper, we provide a new method for constructing chaotic Hopfield neural networks. Our approach is based on structuring the domain to form a special set through the discrete evolution of the network state variables. In the chaotic regime, the formed set is invariant under the system governing the dynamics of the neural network. The approach can be viewed as an extension of the unimodality technique for one-dimensional map, thereby generating chaos from higher-dimensional systems. We show that the dis...
On the smoothness of solutions of impulsive autonomous systems Akhmet, Marat (Elsevier BV, 2005-01-01) The aim of this paper is to investigate dependence of solutions on parameters for nonlinear autonomous impulsive differential equations. We will specify what continuous, differentiable and analytic dependence of solutions on parameters is, define higher order derivatives of solutions with respect to parameters and determine conditions for existence of such derivatives. The theorem of analytic dependence of solutions on parameters is proved.

Citation Formats

M. Kotikanyadanam, S. Göktepe, and E. Kuhl, “Computational modeling of electrocardiograms: A finite element approach toward cardiac excitation,” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, pp. 524–533, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37318.