Global sensitivity analysis of a wave propagation model for arm arteries

Leguy, Cad Carole; Bosboom, Emh Mariëlle; Belloum, Adam; Hoeks, Apg Arnold; Vosse, van de Fn Frans

doi:10.1016/j.medengphy.2011.04.003

Cited by 28 publications

(37 citation statements)

References 32 publications

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“…On the other hand, some studies are concerned with the validity of a more specific model for a given patient for which one holds clinical data/measurements . In this case, the epistemic uncertainty of the patient physiological parameters may be reduced on the basis of experiments that often provide only indirect observations: the outputs of these experiments are influenced by the parameters, which can then be estimated by solving an inverse problem.…”

Section: Introductionmentioning

confidence: 99%

Uncertainty quantification of inflow boundary condition and proximal arterial stiffness–coupled effect on pulse wave propagation in a vascular network

Brault

Dumas

Lucor

2017

Numer Methods Biomed Eng

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This work aims at quantifying the effect of inherent uncertainties from cardiac output on the sensitivity of a human compliant arterial network response based on stochastic simulations of a reduced-order pulse wave propagation model. A simple pulsatile output form is used to reproduce the most relevant cardiac features with a minimum number of parameters associated with left ventricle dynamics. Another source of significant uncertainty is the spatial heterogeneity of the aortic compliance, which plays a key role in the propagation and damping of pulse waves generated at each cardiac cycle. A continuous representation of the aortic stiffness in the form of a generic random field of prescribed spatial correlation is then considered. Making use of a stochastic sparse pseudospectral method, we investigate the sensitivity of the pulse pressure and waves reflection magnitude over the arterial tree with respect to the different model uncertainties. Results indicate that uncertainties related to the shape and magnitude of the prescribed inlet flow in the proximal aorta can lead to potent variation of both the mean value and standard deviation of blood flow velocity and pressure dynamics due to the interaction of different wave propagation and reflection features. Lack of accurate knowledge in the stiffness properties of the aorta, resulting in uncertainty in the pulse wave velocity in that region, strongly modifies the statistical response, with a global increase in the variability of the quantities of interest and a spatial redistribution of the regions of higher sensitivity. These results will provide some guidance in clinical data acquisition and future coupling of arterial pulse wave propagation reduced-order model with more complex beating heart models.

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Section: Introductionmentioning

confidence: 99%

Uncertainty quantification of inflow boundary condition and proximal arterial stiffness–coupled effect on pulse wave propagation in a vascular network

Brault

Dumas

Lucor

2017

Numer Methods Biomed Eng

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“…Existing models of the cardiovascular system account for the main arteries of the system. For example, concerning the arteries of the arm, in [4,28,43] the axillary, brachial, radial and ulnar arteries are incorporated. At most, the interosseous artery is also included, an important branch of the ulnar artery.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model of Blood Flow in an Anatomically Detailed Arterial Network of the Arm

2013

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Abstract.A distributed-parameter (one-dimensional) anatomically detailed model for the arterial network of the arm is developed in order to carry out hemodynamics simulations. This work focuses on the specific aspects related to the model set-up. In this regard, stringent anatomical and physiological considerations have been pursued in order to construct the arterial topology and to provide a systematic estimation of the involved parameters. The model comprises 108 arterial segments, with 64 main arteries and 44 perforator arteries, with lumen radii ranging from 0.24 cm -axillary artery-to 0.018 cmperforator arteries. The modeling of blood flow in deformable vessels is governed by a well-known set of hyperbolic partial differential equations that accounts for mass and momentum conservation and a constitutive equation for the arterial wall. The variational formulation used to solve the problem and the related numerical approach are described. The model rendered consistent pressure and flow rate outputs when compared with patient records already published in the literature. In addition, an application to dimensionally-heterogeneous modeling is presented in which the developed arterial network is employed as an underlying model for a three-dimensional geometry of a branching point to be embedded in order to perform local analyses.Mathematics Subject Classification. 76Z05, 92C10, 92C30.

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“…One-dimensional (1D) modeling of tubular networks is a common approach towards performing computationally cheap yet valuable numerical simulations of the hemodynamics in arterial vessels (Alastruey et al, 2011(Alastruey et al, , 2007Avolio, 1980;Formaggia et al, 2003;Leguy et al, 2011;Olufsen, 1999;Olufsen et al, 2000;Reymond et al, 2009;Schaaf and Abbrecht, 1972;Stergiopulos et al, 1992;Stettler et al, 1981). Besides the 1D governing equations for the blood flow in arteries and usually a given inflow datum, outflow boundary conditions have to be considered to close the problem.…”

Section: Introductionmentioning

confidence: 99%

Identification of vascular territory resistances in one-dimensional hemodynamics simulations

Blanco

Watanabe

Feijóo

2012

Journal of Biomechanics

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The present work deals with the parameter identification problem in outflow models used in one-dimensional simulations of arterial blood flow. Specifically, the resistive elements that define the models used to account for the blood supply to the vascular territories in arterial networks are computed by solving a system of non-linear equations using a Broyden method. This strategy is employed to compute the terminal parameters in the vascular territories of an anatomically detailed model of the arm comprising 67 arterial segments and 16 vascular territories. A comparison with a simple analytical approach, in terms of vascular territory resistances, average blood flows and time-dependent hemodynamic quantities, is performed. Also, a sensitivity analysis is presented to assess the performance of this new approach in normal and abnormal cardiovascular scenarios. This identification procedure allows to correctly set up hemodynamics simulations in highly detailed arterial networks making possible to gain insight in the aspects related to the blood circulation in arterial vessels.

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Global sensitivity analysis of a wave propagation model for arm arteries

Cited by 28 publications

References 32 publications

Uncertainty quantification of inflow boundary condition and proximal arterial stiffness–coupled effect on pulse wave propagation in a vascular network

Uncertainty quantification of inflow boundary condition and proximal arterial stiffness–coupled effect on pulse wave propagation in a vascular network

Mathematical Model of Blood Flow in an Anatomically Detailed Arterial Network of the Arm

Identification of vascular territory resistances in one-dimensional hemodynamics simulations

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