Abstract
We propose a model to generate electrocardiogram signals based on a discretized reaction-diffusion system to produce a set of three nonlinear oscillators that simulate the main pacemakers in the heart. The model reproduces electrocardiograms from healthy hearts and from patients suffering various well-known rhythm disorders. In particular, it is shown that under ventricular fibrillation, the electrocardiogram signal is chaotic and the transition from sinus rhythm to chaos is consistent with the Ruelle-Takens-Newhouse route to chaos, as experimental studies indicate. The proposed model constitutes a useful tool for research, medical education, and clinical testing purposes. An electronic device based on the model was built for these purposes
Highlights
We propose a model to generate electrocardiogram signals based on a discretized reaction-diffusion system to produce a set of three nonlinear oscillators that simulate the main pacemakers in the heart
Nonlinear dynamical systems theory is recognized as a useful tool that can contribute to the understanding of underlying mechanisms of lethal arrhythmias and cardiac diseases[4]
In a previous paper[23], we proposed an extension of the model developed in[24] to produce chaotic responses associated with ventricular fibrillation (VF) by the inclusion of an ectopic pacemaker (EP) that stimulates the ventricular muscles
Summary
We propose a model to generate electrocardiogram signals based on a discretized reaction-diffusion system to produce a set of three nonlinear oscillators that simulate the main pacemakers in the heart. In this work we propose a mathematical model based on a reaction-diffusion mechanism[25] to simulate the generation of ECG signals.The model is discretized in a way that a set of three coupled nonlinear oscillators (not VdP type) is obtained and used to describe the electrical activity of the heart. The present work and previous study[23] were born from different inspirations, they maintain three common aspects: (1) are based on coupled nonlinear oscillators (the natural pacemakers in the heart are described by three coupled oscillators); (2) follow the same route to chaos; and (3) are capable to reproduce electrocardiogram signals of healthy hearts as well as some arrhythmias
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
