Numerical simulation of local blood flow in the carotid and cerebral arteries under altered gravity.

A computational fluid dynamics (CFD) approach was presented to model the blood flows in the carotid bifurcation and the brain arteries under altered gravity. Physical models required for CFD simulation were introduced including a model for arterial wall motion due to fluid-wall interactions, a shear thinning fluid model of blood, a vascular bed model for outflow boundary conditions, and a model for autoregulation mechanism. The three-dimensional unsteady incompressible Navier-Stokes equations coupled with these models were solved iteratively using the pseudocompressibility method and dual time stepping. Gravity source terms were added to the Navier-Stokes equations to take the effect of gravity into account. For the treatment of complex geometry, a chimera overset grid technique was adopted to obtain connectivity between arterial branches. For code validation, computed results were compared with experimental data for both steady-state and time-dependent flows. This computational approach was then applied to blood flows through a realistic carotid bifurcation and two Circle of Willis models, one using an idealized geometry and the other using an anatomical data set. A three-dimensional Circle of Willis configuration was reconstructed from subject-specific magnetic resonance images using an image segmentation method. Through the numerical simulation of blood flow in two model problems, namely, the carotid bifurcation and the brain arteries, it was observed that the altered gravity has considerable effects on arterial contraction/dilatation and consequent changes in flow conditions.

[1]  B. Rutt,et al.  Reconstruction of carotid bifurcation hemodynamics and wall thickness using computational fluid dynamics and MRI , 2002, Magnetic resonance in medicine.

[2]  van de Fn Frans Vosse,et al.  The influence of the non-Newtonian properties of blood on the flow in large arteries: unsteady flow in a 90° curved tube , 1999 .

[3]  Rainald Löhner,et al.  COMPUTER SIMULATION OF CEREBRAL ARTERY CLIPPING: RELEVANCE TO ANEURYSM NEURO-SURGERY PLANNING , 2000 .

[4]  Dochan Kwak,et al.  Aspects of unsteady incompressible flow simulations , 2002 .

[5]  R S Reneman,et al.  Age-related changes in carotid artery wall properties in men. , 1986, Ultrasound in medicine & biology.

[6]  T. David,et al.  Numerical Models of Auto-regulation and Blood Flow in the Cerebral Circulation , 2002, Computer methods in biomechanics and biomedical engineering.

[7]  T. David,et al.  Computational Models of Blood Flow in the Circle of Willis , 2001, Computer methods in biomechanics and biomedical engineering.

[8]  K. Perktold,et al.  Computer simulation of local blood flow and vessel mechanics in a compliant carotid artery bifurcation model. , 1995, Journal of biomechanics.

[9]  Alfio Quarteroni,et al.  Computational vascular fluid dynamics: problems, models and methods , 2000 .

[10]  Stuart E. Rogers,et al.  Steady and unsteady solutions of the incompressible Navier-Stokes equations , 1991 .

[11]  A D Hughes,et al.  Inter-individual variations in wall shear stress and mechanical stress distributions at the carotid artery bifurcation of healthy humans. , 2002, Journal of biomechanics.

[12]  W. Nichols,et al.  McDonald's Blood Flow in Arteries: Theoretical, Experimental and Clinical Principles , 1998 .

[13]  D. Steinman,et al.  The effect of wall distensibility on flow in a two-dimensional end-to-side anastomosis. , 1994, Journal of biomechanical engineering.

[14]  Y. Fung,et al.  Mechanics of the Circulation , 2011, Developments in Cardiovascular Medicine.

[15]  C. Giller,et al.  Cerebral arterial diameters during changes in blood pressure and carbon dioxide during craniotomy. , 1993, Neurosurgery.

[16]  C. Taylor,et al.  Predictive medicine: computational techniques in therapeutic decision-making. , 1999, Computer aided surgery : official journal of the International Society for Computer Aided Surgery.

[17]  Chang Sung Kim,et al.  Computational Challenges of Viscous Incompressible Flows , 2005 .

[18]  Rune Aaslid,et al.  Comparison of Flow and Velocity During Dynamic Autoregulation Testing in Humans , 1994, Stroke.

[19]  R. G. Berry,et al.  Anatomical studies of the circle of Willis in normal brain. , 1959, A.M.A. archives of neurology and psychiatry.

[20]  F. N. van de Vosse,et al.  The influence of the non-Newtonian properties of blood on the flow in large arteries: steady flow in a carotid bifurcation model. , 1999, Journal of biomechanics.

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

[22]  D Kwak,et al.  Computational approach for probing the flow through artificial heart devices. , 1997, Journal of biomechanical engineering.