Identification of the Time-Varying Ventricular Parameters During the Ejection Phase of the Cardiac Cycle: The Martingale Optimality Principle Approach-Reference-Cited by-同舟云学术

Identification of the Time-Varying Ventricular Parameters During the Ejection Phase of the Cardiac Cycle: The Martingale Optimality Principle Approach

Published:2023-10-05 Issue: Volume:5 Page:115-128
ISSN:2766-9823
Container-title:International Journal of Applied Mathematics, Computational Science and Systems Engineering
language:en
Short-container-title:

Author:

Abutaleb Ahmed S.¹

Affiliation:

1. Previously with MIT/Lincoln Lab, Lexington, Mass, USA, and currently with Cairo University, School of Engineering, Systems and Bioengineering Depts., Giza, EGYPT

Abstract

Physical parameters representing the energy components of the cardiac pump related to inertance, resistance, and compliance are developed. Stochastic calculus and the martingale optimality principle are used to estimate these time-varying parameters. The method is applied to the ejection phase of the cardiac cycle, using pressure and flow measured at the root of the aorta for the left ventricle. Another Malliavin-calculus-based approximate method is also reported. It is numerically tractable with higher accuracy.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Reference35 articles.

1. C. S. Roy, “ on the influences which modify the work of the heart.” J. Physiol., vol. 1. pp. 452-496, 1870.

2. S. Bozkurt, 2019, “Mathematical modeling of cardiac function to evaluate clinical cases in adults and children”, PLoS ONE 14(10): e0224663. https://doi.org/10.1371/journal.pone.0224 663

3. L. Curcio, L. D'Orsi, and A. Gaetano, 2021, “Seven Mathematical Models of Hemorrhagic Shock”, Computational and Mathematical Methods in Medicine, Vol. 2021, Article ID 6640638, 34 pages, https://doi.org/10.1155/2021/6640638

4. A. Abutaleb, “Identification of the ventricular pump parameters during the ejection phase of the cardiac cycle, “Ph.D. dissertation, Univ. Pennsylvania, 1984.

5. A. Abutaleb, J. Melbin, And A. Noordergraaf, 1986, “Identification Of The Cardiac Parameters During The Ejection Phase”, IEEE Trans. Biomedical Engineering, ( March 1986).