<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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).</p></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).

A modified van der Pol equation with delay in a description of the heart action

Faculty of Applied Informatics and Mathematics Warsaw University of Life Sciences, Nowoursynowska 159, 02-776 Warsaw, Poland

Faculty of Mathematics, Informatics and Mechanics University of Warsaw, Banacha 2, 02-097 Warsaw, Poland

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"A modified van der Pol equation with delay in a description of the heart action"}

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...

A modified van der Pol equation with delay in a description of the heart action

Published Online: Dec 20, 2014

Page range: 853 - 863

Received: Oct 02, 2013

DOI: https://doi.org/10.2478/amcs-2014-0063

© by Beata Zduniak

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.