Proposition of an outflow boundary approach for carotid artery stenosis CFD simulation

The purpose of this study was to propose an innovative approach of setting outlet boundary conditions for the computational fluid dynamics (CFD) simulation of human common carotid arteries (CCAs) bifurcation based on the concept of energy loss minimisation at flow bifurcation. Comparisons between this new approach and previously reported boundary conditions were also made. The results showed that CFD simulation based on the proposed boundary conditions gave an accurate prediction of the critical stenosis ratio of carotid arteries (at around 65%). Other boundary conditions, such as the constant external pressure (P = 0) and constant outflow ratio, either overestimated or underestimated the critical stenosis ratio of carotid arteries. The patient-specific simulation results furthermore indicated that the calculated internal carotid artery flow ratio at CCA bifurcation (61%) coincided with the result obtained by clinical measurements through the use of Colour Doppler ultrasound.

[1]  D. Ku,et al.  Wall shear over high degree stenoses pertinent to atherothrombosis. , 2010, Journal of biomechanics.

[2]  D. Sackett,et al.  Beneficial effect of carotid endarterectomy in symptomatic patients with high-grade carotid stenosis. , 1991, The New England journal of medicine.

[3]  R. Vanninen,et al.  Multi-detector row CT angiography in the assessment of carotid artery disease in symptomatic patients: comparison with rotational angiography and digital subtraction angiography. , 2005, AJNR. American journal of neuroradiology.

[4]  Pheng-Ann Heng,et al.  A meshless rheological model for blood-vessel interaction in endovascular simulation. , 2010, Progress in biophysics and molecular biology.

[5]  C. Gondry-Jouet,et al.  Value of phase contrast magnetic resonance imaging for investigation of cerebral hydrodynamics. , 2006, Journal of neuroradiology. Journal de neuroradiologie.

[6]  N M Maurits,et al.  The influence of vessel wall elasticity and peripheral resistance on the carotid artery flow wave form: a CFD model compared to in vivo ultrasound measurements. , 2007, Journal of biomechanics.

[7]  Frans N van de Vosse,et al.  MRI-based quantification of outflow boundary conditions for computational fluid dynamics of stenosed human carotid arteries. , 2010, Journal of biomechanics.

[8]  A. Roth Effect of collateral and peripheral resistance on blood flow through arterial stenoses. , 1976, Journal of biomechanics.

[9]  Hao Gao,et al.  Carotid arterial plaque stress analysis using fluid-structure interactive simulation based on in-vivo magnetic resonance images of four patients. , 2009, Journal of biomechanics.

[10]  K. Johnston,et al.  Factors affecting the continuous wave Doppler spectrum for the diagnosis of carotid arterial disease. , 1988, Ultrasound in medicine & biology.

[11]  A. Crummy,et al.  Sources of error in Doppler diagnosis of carotid occlusive disease. , 1981, AJR. American journal of roentgenology.

[12]  Charles A. Taylor,et al.  Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries , 2006 .

[13]  Xinling Shi,et al.  Correction for broadening in Doppler blood flow spectrum estimated using wavelet transform. , 2006, Medical engineering & physics.

[14]  S. Alper,et al.  Hemodynamic shear stress and its role in atherosclerosis. , 1999, JAMA.

[15]  I. Marshall,et al.  MRI and CFD studies of pulsatile flow in healthy and stenosed carotid bifurcation models. , 2004, Journal of biomechanics.

[16]  P. Doriot,et al.  In‐vivo measurements of wall shear stress in human coronary arteries , 2000, Coronary artery disease.

[17]  R. Krams,et al.  Large variations in absolute wall shear stress levels within one species and between species. , 2007, Atherosclerosis.

[18]  Y. Fung,et al.  The pattern of coronary arteriolar bifurcations and the uniform shear hypothesis , 2006, Annals of Biomedical Engineering.

[19]  M. Umezu,et al.  Computational Hemodynamic Analysis in Congenital Heart Disease: Simulation of the Norwood Procedure , 2010, Annals of Biomedical Engineering.

[20]  W M O'Fallon,et al.  Ischemic stroke subtypes : a population-based study of functional outcome, survival, and recurrence. , 2000, Stroke.

[21]  F. N. van de Vosse,et al.  The influence of boundary conditions on wall shear stress distribution in patients specific coronary trees. , 2011, Journal of biomechanics.

[22]  L. Wilkins North American Symptomatic Carotid Endarterectomy Trial. Methods, patient characteristics, and progress. , 1991, Stroke.

[23]  C. D. Murray THE PHYSIOLOGICAL PRINCIPLE OF MINIMUM WORK APPLIED TO THE ANGLE OF BRANCHING OF ARTERIES , 1926, The Journal of general physiology.

[24]  David A. Steinman,et al.  Variation in the Carotid Bifurcation Geometry of Young Versus Older Adults: Implications for Geometric Risk of Atherosclerosis , 2005, Stroke.

[25]  John C Hunter,et al.  Linear and angular measurements of computer-generated models: are they accurate, valid, and reliable? , 2007, Computer aided surgery : official journal of the International Society for Computer Aided Surgery.

[26]  P. Fischer,et al.  Direct numerical simulation of transitional flow in a stenosed carotid bifurcation. , 2008, Journal of biomechanics.

[27]  Norberto Fueyo,et al.  Momentum transfer correction for macroscopic-gradient boundary conditions in lattice Boltzmann methods , 2010, J. Comput. Phys..

[28]  Erling Falk,et al.  Mechanical stresses in carotid plaques using MRI-based fluid-structure interaction models. , 2008, Journal of biomechanics.