title: Assessment of reduced-order unscented Kalman filter for parameter identification in 1-dimensional blood flow models using experimental data.
abstract: This work presents a detailed investigation of a parameter estimation approach on the basis of the reduced-order unscented Kalman filter (ROUKF) in the context of 1-dimensional blood flow models. In particular, the main aims of this study are (1) to investigate the effects of using real measurements versus synthetic data for the estimation procedure (i.e., numerical results of the same in silico model, perturbed with noise) and (2) to identify potential difficulties and limitations of the approach in clinically realistic applications to assess the applicability of the filter to such setups. For these purposes, the present numerical study is based on a recently published in vitro model of the arterial network, for which experimental flow and pressure measurements are available at few selected locations. To mimic clinically relevant situations, we focus on the estimation of terminal resistances and arterial wall parameters related to vessel mechanics (Young's modulus and wall thickness) using few experimental observations (at most a single pressure or flow measurement per vessel). In all cases, we first perform a theoretical identifiability analysis on the basis of the generalized sensitivity function, comparing then the results owith the ROUKF, using either synthetic or experimental data, to results obtained using reference parameters and to available measurements.
authors: Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Leibniz Institut im Forschungsverbund, Berlin e.V.
authors: A
authors: A
authors: Caiazzo
authors: Laboratory of Applied Mathematics, DICAM, University of Trento, Italy.
authors: Federica
authors: F
authors: Caforio
authors: Center for Mathematical Modeling, Universidad de Chile, Santiago, Chile.
authors: Gino
authors: G
authors: Montecinos
authors: Laboratório Nacional de Computação Científica, Petrópolis, Brazil.|Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica, Petrópolis, Brazil.
authors: Lucas O
authors: LO
authors: Muller
authors: Laboratório Nacional de Computação Científica, Petrópolis, Brazil.|Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica, Petrópolis, Brazil.
authors: Pablo J
authors: PJ
authors: Blanco
authors: Laboratory of Applied Mathematics, DICAM, University of Trento, Italy.
authors: Eluterio F
authors: EF
authors: Toro
mesh_terms: D000465:Algorithms; D001011:Aorta; D001158:Arteries / Q000502:physiology*; D001698:Biomedical Engineering / Q000379:methods; D003198:Computer Simulation; D055119:Elastic Modulus; D006439:Hemodynamics / Q000502:physiology*; D006801:Humans; D008955:Models, Cardiovascular; D017711:Nonlinear Dynamics; D015203:Reproducibility of Results; D059289:Vascular Stiffness
keywords: 1-dimensional model; Kalman filter; blood flow; finite volume method; parameter estimation