TY - JOUR
T1 - Periodically kicked network of RLC oscillators to produce ECG signals
AU - Quiroz-Juárez, M. A.
AU - Jiménez-Ramírez, O.
AU - Aragón, J. L.
AU - Del Río-Correa, J. L.
AU - Vázquez-Medina, R.
N1 - Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2019/1
Y1 - 2019/1
N2 - We propose a simple model of the electrical activity of the heart that reproduces realistic healthy electrocardiogram (ECG) signals. The model consists of two RLC linear oscillators periodically kicked by impulses of the main pacemaker with the frequency rate of a real heart. In the proposed model, one oscillator represents the atria, another represents the ventricles, and an electrical cardiac conduction system is included using a coupling capacitor, which can be either unidirectional or bidirectional. The network of the two capacitively coupled oscillators is periodically kicked by the main pacemaker to introduce the periodic forcing of limit cycles into the system; a time delay is introduced to represent the electrical transport delay from atria to ventricles. In this manner, healthy synthetic ECG signals are obtained by combining the signals of the currents of the oscillators. We show that an analytical solution of the model can be obtained when a single impulse is applied. From this, by the superposition principle, a solution with an impulse train is obtained. Note that analytical treatment is a feature not available in current cardiac oscillator models.
AB - We propose a simple model of the electrical activity of the heart that reproduces realistic healthy electrocardiogram (ECG) signals. The model consists of two RLC linear oscillators periodically kicked by impulses of the main pacemaker with the frequency rate of a real heart. In the proposed model, one oscillator represents the atria, another represents the ventricles, and an electrical cardiac conduction system is included using a coupling capacitor, which can be either unidirectional or bidirectional. The network of the two capacitively coupled oscillators is periodically kicked by the main pacemaker to introduce the periodic forcing of limit cycles into the system; a time delay is introduced to represent the electrical transport delay from atria to ventricles. In this manner, healthy synthetic ECG signals are obtained by combining the signals of the currents of the oscillators. We show that an analytical solution of the model can be obtained when a single impulse is applied. From this, by the superposition principle, a solution with an impulse train is obtained. Note that analytical treatment is a feature not available in current cardiac oscillator models.
KW - ECG signals
KW - Heart model
KW - Periodically-kicked oscillators
KW - RLC circuit
UR - http://www.scopus.com/inward/record.url?scp=85056649939&partnerID=8YFLogxK
U2 - 10.1016/j.compbiomed.2018.05.017
DO - 10.1016/j.compbiomed.2018.05.017
M3 - Artículo
C2 - 30453221
SN - 0010-4825
VL - 104
SP - 87
EP - 96
JO - Computers in Biology and Medicine
JF - Computers in Biology and Medicine
ER -