Abstract
We model electrical activity of cardiac electric system including atrial and ventricular muscles solving a set of coupled nonlinear oscillator equations. In the proposed mathematical model the heart pacemakers are considered as a network of self-excitatory elements represented by strongly asymmetric van der Pol-type oscillators, whereas cardiac muscles are modeled by driven non-oscillatory FitzHugh-Nagumo-type equations. The oscillators of the system are connected with unidirectional time delay couplings. The resulting total response of the system is obtained as a composition of calculated signals in the form of synthetic electrocardiogram. The proposed model allows to reproduce several well-known electrocardiological phenomena, such as tachycardia, complete heart block, atrial flutter, and ventricular fibrillation.
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Ryzhii, E., Ryzhii, M. (2014). Modeling of Heartbeat Dynamics with a System of Coupled Nonlinear Oscillators. In: Pham, T.D., Ichikawa, K., Oyama-Higa, M., Coomans, D., Jiang, X. (eds) Biomedical Informatics and Technology. ACBIT 2013. Communications in Computer and Information Science, vol 404. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54121-6_6
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DOI: https://doi.org/10.1007/978-3-642-54121-6_6
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