Resolving the hemodynamic inverse problem

IEEE Transactions on Bio-medical Engineering
Christopher M QuickAbraham Noordergraaf

Abstract

The "hemodynamic inverse problem" is the determination of arterial system properties from pressures and flows measured at the entrance of an arterial system. Conventionally, investigators fit reduced arterial system models to data, and the resulting model parameters represent putative arterial properties. However, no unique solution to the inverse problem exists-an infinite number of arterial system topologies result in the same input impedance (Zin) and, therefore, the same pressure and flow. Nevertheless, there are exceptions to this theoretical limitation; total peripheral resistance (Rtot), total arterial compliance (Ctot), and characteristic impedance (ZO) can be uniquely determined from input pressure and flow. Zin is determined completely by Ctot and Rtot at low frequencies, Zo at high frequencies, and arterial topology and reflection effects at intermediate frequencies. We present a novel method to determine the relative contribution of Zo, Ctot, Rtot and arterial topology/reflection to Zin without assuming a particular reduced model. This method is tested with a large-scale distributed model of the arterial system, and is applied to illustrative cases of measured pressure and flow. This work, thus, lays the theoretical...Continue Reading

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Citations

Feb 22, 2008·Journal of Cardiovascular Pharmacology·Denis ChemlaAlain Nitenberg
May 9, 2012·American Journal of Physiology. Heart and Circulatory Physiology·Mohammad W MohiuddinChristopher M Quick
Apr 28, 2011·Biomedical Engineering Online·Yubing ShiRodney Hose
Nov 14, 2007·PLoS Computational Biology·Sven ZenkerGilles Clermont
May 25, 2012·The Canadian Journal of Cardiology·Jiun-Jr WangJohn V Tyberg
Jun 27, 2013·International Journal for Numerical Methods in Biomedical Engineering·Toni LassilaGianluigi Rozza
Apr 5, 2007·IEEE Transactions on Bio-medical Engineering·Xiao HuNeil Martin
Mar 11, 2008·Computers in Biology and Medicine·Bing Nan LiMing Chui Dong
Jun 17, 2016·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·Phuc H NguyenChristopher M Quick
May 8, 2007·American Journal of Physiology. Heart and Circulatory Physiology·Mohammad W MohiuddinChristopher M Quick
Aug 30, 2014·Journal of Applied Physiology·Y C TzengG S H Chan
Apr 19, 2015·American Journal of Physiology. Heart and Circulatory Physiology·Sally EpsteinJordi Alastruey
Jun 18, 2011·Journal of Applied Physiology·Yu-Chieh Tzeng, Gregory S H Chan

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