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Paper details
Number 4 - December 2014
Volume 24 - 2014
A modified van der Pol equation with delay in a description of the heart action
Beata Zduniak, Marek Bodnar, Urszula Foryś
Abstract
In this paper, a modified van der Pol equation is considered as a description of the heart action. This model has a number
of interesting properties allowing reconstruction of phenomena observed in physiological experiments as well as in Holter
electrocardiographic recordings. Our aim is to study periodic solutions of the modified van der Pol equation and take into
consideration the influence of feedback and delay which occur in the normal heart action mode as well as in pathological
modes. Usage of certain values for feedback and delay parameters allows simulating the heart action when an accessory
conducting pathway is present (Wolff–Parkinson–White syndrome).
Keywords
system with feedback, stability, action potential