Reliable CFD-based estimation of flow rate in hemodynamics measures. Part II: Sensitivity analysis and first clinical application

In Ponzini et al. (2006) a new approach has been proposed for estimating in a reliable way blood flow rate from velocity Doppler measurements. In that paper, basic features of the approach and some “in silico” test cases were furnished. Here, we give more insights of this approach by performing a sensitivity analysis of the formulae relating blood flow rate to blood velocity. In particular we analyze their sensitivity to the physiological parameters in comparison with the standard formula proposed in Doucette et al. (1992). A first glance at “in vivo” validation of the formulae is given too.

[1]  Nicholas J. Higham,et al.  INVERSE PROBLEMS NEWSLETTER , 1991 .

[2]  S. Savader,et al.  Volumetric evaluation of blood flow in normal renal arteries with a Doppler flow wire: a feasibility study. , 1997, Journal of vascular and interventional radiology : JVIR.

[3]  H. M. Payne,et al.  Validation of A Doppler Guide Wire for Intravascular Measurement of Coronary Artery Flow Velocity , 1992, Circulation.

[4]  Alfio Quarteroni,et al.  Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations , 2002, SIAM J. Numer. Anal..

[5]  Alberto Redaelli,et al.  Doppler derived quantitative flow estimate in coronary artery bypass graft: a computational multiscale model for the evaluation of the current clinical procedure. , 2008, Medical engineering & physics.

[6]  Ian Marshall,et al.  Flow in Elliptical Vessels Calculated for a Physiological Waveform , 2001, Journal of Vascular Research.

[7]  R. Wilson,et al.  Transluminal, subselective measurement of coronary artery blood flow velocity and vasodilator reserve in man. , 1985, Circulation.

[8]  STEFANO BERRONE,et al.  An adaptive gradient-DWR finite element algorithm for an optimal control constrained problem , 2008 .

[9]  H. Figulla,et al.  Turbulent flow as a cause for underestimating coronary flow reserve measured by Doppler guide wire , 2006, Cardiovascular ultrasound.

[10]  R. Testa,et al.  Impaired myocardial metabolic reserve and substrate selection flexibility during stress in patients with idiopathic dilated cardiomyopathy. , 2007, American journal of physiology. Heart and circulatory physiology.

[11]  J. Womersley,et al.  Velocity profiles of oscillating arterial flow, with some calculations of viscous drag and the Reynolds number , 1955, The Journal of physiology.

[12]  Christian Vergara,et al.  An approximate method for solving incompressible Navier–Stokes problems with flow rate conditions , 2007 .

[13]  Marco Verani,et al.  Stabilizing Role of a Curvature Correction to Line Tension , 2008, SIAM J. Appl. Math..

[14]  P. Yock,et al.  Assessment of severity of coronary stenoses using a Doppler catheter. Validation of a method based on the continuity equation. , 1989, Circulation.

[15]  P. Kaufmann,et al.  In vitro validation of volumetric blood flow measurement using Doppler flow wire. , 2000, Ultrasound in medicine & biology.

[16]  C. Vergara,et al.  Flow rate defective boundary conditions in haemodynamics simulations , 2005 .

[17]  K W Johnston,et al.  Three-dimensional display of calculated velocity profiles for physiological flow waveforms. , 1993, Journal of vascular surgery.

[18]  Felix Matthews,et al.  A novel in vivo procedure for volumetric flow measurements. , 2004, Ultrasound in medicine & biology.

[19]  M. Marcus,et al.  Decreased coronary reserve: a mechanism for angina pectoris in patients with aortic stenosis and normal coronary arteries. , 1982, The New England journal of medicine.

[20]  R. Wilson,et al.  Interstudy variability of coronary flow reserve. Influence of heart rate, arterial pressure, and ventricular preload. , 1990, Circulation.

[21]  B. Kuban,et al.  Validated computation of physiologic flow in a realistic coronary artery branch. , 1997, Journal of biomechanics.

[22]  D. Neglia,et al.  Prognostic Role of Myocardial Blood Flow Impairment in Idiopathic Left Ventricular Dysfunction , 2002, Circulation.

[23]  L E Larsson,et al.  Superior sagittal sinus blood flow in the dog measured by an electromagnetic flow meter. A comparison with a radioactive gas elimination method. , 1983, Clinical physiology.

[24]  S Tsangaris,et al.  Assessment of coronary stenoses by Doppler wires: a validation study using in vitro modeling and computer simulations. , 1999, Ultrasound in medicine & biology.

[25]  F. Kajiya,et al.  Analysis of flow characteristics in poststenotic regions of the human coronary artery during bypass graft surgery. , 1987, Circulation.

[26]  G Pennati,et al.  Computational analysis of the ductus venosus fluid dynamics based on Doppler measurements. , 1996, Ultrasound in Medicine and Biology.

[27]  F. Klocke,et al.  Measurements of coronary flow reserve: defining pathophysiology versus making decisions about patient care. , 1987, Circulation.

[28]  Annalisa Quaini,et al.  Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect , 2008 .

[29]  R Fumero,et al.  Blood flow through the ductus venosus in human fetus: calculation using Doppler velocimetry and computational findings. , 1998, Ultrasound in medicine & biology.

[30]  G W Hamilton,et al.  Physiologic basis for assessing critical coronary stenosis. Instantaneous flow response and regional distribution during coronary hyperemia as measures of coronary flow reserve. , 1974, The American journal of cardiology.

[31]  J. Womersley.  Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known , 1955, The Journal of physiology.

[32]  Alberto Redaelli,et al.  Reliable CFD-based estimation of flow rate in haemodynamics measures. , 2006, Ultrasound in medicine & biology.

[33]  G. Ross,et al.  An electromagnetic catheter flow meter for determination of blood flow in major arteries. , 1968, Proceedings of the National Academy of Sciences of the United States of America.

[34]  S. Iliceto,et al.  Transesophageal Doppler echocardiography evaluation of coronary blood flow velocity in baseline conditions and during dipyridamole-induced coronary vasodilation. , 1991, Circulation.

[35]  O Parodi,et al.  Coronary vasoconstriction during myocardial ischemia induced by rises in metabolic demand in patients with coronary artery disease. , 1997, Circulation.

[36]  G. Heyndrickx,et al.  Coronary Thermodilution to Assess Flow Reserve: Experimental Validation , 2001, Circulation.

[37]  Gianluigi Rozza,et al.  Reduced basis method for linear elasticity problems with many parameters , 2008 .