Inverse problems in 1D hemodynamics on systemic networks: A sequential approach

• Published in: International journal for numerical methods in biomedical engineering 2014-02, Vol.30 (2), p.160-179
• Main Author: Lombardi, D.
• Format: Article
• Language: English
• Subjects: 1D hemodynamics; Arteries - metabolism; Bioengineering; Cross-Sectional Studies; Hemodynamics; Humans; inverse problems; Life Sciences; Mathematics; Models, Cardiovascular; Numerical Analysis; Pulse Wave Analysis; sequential approach; systemic networks; Vascular Stiffness - physiology
• ISSN: 2040-7939; 2040-7947
• DOI: 10.1002/cnm.2596

SUMMARYIn this work, a sequential approach based on the unscented Kalman filter is applied to solve inverse problems in 1D hemodynamics, on a systemic network. For instance, the arterial stiffness is estimated by exploiting cross‐sectional area and mean speed observations in several locations of the arteries. The results are compared with those ones obtained by estimating the pulse wave velocity and the Moens–Korteweg formula. In the last section, a perspective concerning the identification of the terminal models parameters and peripheral circulation (modeled by a Windkessel circuit) is presented. Copyright © 2013 John Wiley & Sons, Ltd. In this work, a sequential approach is applied to solve some inverse problems in 1D hemodynamics on the network of the main 55 arteries of the body. For instance, the arterial stiffness is estimated by means of an unscented Kalman filtering approach, by exploiting section and mean speed observations in several locations of the body. Several random configurations were tested in order to take parametric uncertainty into account. The results on the estimation of aorta stiffness are compared with those ones obtained by estimating the pulse wave velocity and by inverting the algebraic Moens‐Korteweg law. In the last section, a perspective concerning the identification of the terminal models parameters (Windkessel type of models) is presented.