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

• Autorzy: Zduniak B. , Bodnar M. , Foryś U.

Identyfikatory

DOI

10.2478/amcs-2014-0063

• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

system with feedback; stability; action potential

PL

sprzężenie zwrotne; stabilność; potencjał czynnościowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2014
• Tom: Vol. 24, no. 4
• Strony: 853--863
• Opis fizyczny: Bibliogr. 19 poz., rys., wykr.

Twórcy

autor

Zduniak B.

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

autor

Bodnar M.

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

autor

Foryś U.

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

Bibliografia

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