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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
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1 Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México. Circuito Exterior S/N, Ciudad Universitaria, Ciudad de México, México
2 Instituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Ciudad de México, México
3 Instituto Polit écnico Nacional, Centro de Investigación en Ciencia Aplicada y Tecnología Avanzada, Querétaro, México
4 Instituto Tecnológico Autónomo de México, Departamento Académico de Matemáticas, Ciudad de México, México
5 Centro de Física Aplicada y Tecnología Avanzada, Universidad Nacional Autónoma de México, Querétaro, México
6 Instituto de Física, Universidad Nacional Autónoma de México, Ciudad de México, México