Stochastic models of the slow/fast type of atrioventricular nodal reentrant tachycardia and tachycardia with conduction aberration

• Autorzy: Jackowska-Zduniak Beata

Identyfikatory

DOI

10.34768/amcs-2022-0031

• Języki publikacji: EN

Abstrakty

EN

Models are proposed to describe the heart’s action potential. A system of stochastic differential equations is used to recreate pathological behaviour in the heart such as atrioventricular nodal reentrant tachycardia (AVNRT) and also AVNRT with conduction aberration. Part of the population has abnormal accessory pathways: fast and slow. An additional pathway is not always induced, since the deterministic model is not proper due to a stochasticity in this process. Introduction of a stochastic term allows modelling a pre-excitation perturbation (such as unexpected excitation by premature contractions in atrium (PAC)) which triggers the mechanism of AVNRT. Also, a system of AVNRT with additional conduction aberration, which is a rare type of arrhythmia, is considered. The aim of this work is to propose a mathematical model superior to the deterministic one that recreates this disease better and allows understanding its mechanism and physical dependencies, which may help to propose a new therapy of AVNRT. Results are illustrated with numerical solutions.

Słowa kluczowe

EN

mathematical model; stochastic differential equations; action potential; atrioventricular nodal reentrant tachycardia; conduction aberration

PL

model matematyczny; stochastyczne równanie różniczkowe; potencjał czynnościowy; częstoskurcz komorowy; aberracja przewodzenia

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2022
• Tom: Vol. 32, no. 3
• Strony: 429--440
• Opis fizyczny: Bibliogr. 30 poz., rys., wykr.

Twórcy

autor

Jackowska-Zduniak Beata

• Institute of Information Technology, Warsaw University of Life Sciences, Nowoursynowska 159, Building 34, 02-776 Warsaw, Poland

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)