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

Beata Zduniak; Marek Bodnar; Urszula Foryś

International Journal of Applied Mathematics and Computer Science (2014)

  • Volume: 24, Issue: 4, page 853-863
  • ISSN: 1641-876X

Abstract

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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).

How to cite

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Beata Zduniak, Marek Bodnar, and Urszula Foryś. "A modified van der Pol equation with delay in a description of the heart action." International Journal of Applied Mathematics and Computer Science 24.4 (2014): 853-863. <http://eudml.org/doc/271886>.

@article{BeataZduniak2014,
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).},
author = {Beata Zduniak, Marek Bodnar, Urszula Foryś},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {system with feedback; stability; action potential},
language = {eng},
number = {4},
pages = {853-863},
title = {A modified van der Pol equation with delay in a description of the heart action},
url = {http://eudml.org/doc/271886},
volume = {24},
year = {2014},
}

TY - JOUR
AU - Beata Zduniak
AU - Marek Bodnar
AU - Urszula Foryś
TI - A modified van der Pol equation with delay in a description of the heart action
JO - International Journal of Applied Mathematics and Computer Science
PY - 2014
VL - 24
IS - 4
SP - 853
EP - 863
AB - 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).
LA - eng
KW - system with feedback; stability; action potential
UR - http://eudml.org/doc/271886
ER -

References

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