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Inverse problems in 1D hemodynamics on systemic networks: A sequential approach
Author(s) -
Lombardi D.
Publication year - 2014
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.2596
Subject(s) - kalman filter , inverse , pulse wave velocity , inverse problem , pulse (music) , systemic circulation , identification (biology) , circulation (fluid dynamics) , hemodynamics , arterial stiffness , mathematics , control theory (sociology) , computer science , mathematical analysis , physics , mechanics , cardiology , statistics , telecommunications , medicine , geometry , artificial intelligence , blood pressure , botany , control (management) , detector , biology
SUMMARY In 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.