Published

2017-09-01

Simulation of unsteady blood flow dynamics in the thoracic aorta

Simulación transitoria de la dinámica del flujo sanguíneo en la aorta torácica

Keywords:

Blood flow, computational fluid dynamics, hemodynamics, thoracic aorta, wall shear stress (en)
Flujo sanguíneo, dinámica de fluidos computacional, hemodinámica, aorta torácica, esfuerzos cortantes parietales (es)

Downloads

Authors

  • Santiago Laín Universidad Autonóma de Occidente Cali (Colombia)
  • Andres D. Caballero Tissue Mechanics Laboratory, The Wallace H. Coulter Department of Biomedical Engineering, Georgia Institute of Technology, Technology Enterprise Park, 387 Technology Circle, Atlanta, GA 30313-2412, USA

In this work, blood flow dynamics was analyzed in a realistic thoracic aorta (TA) model under unsteady-state conditions via velocity contours, secondary flow, pressure and wall shear stress (WSS) distributions. Our results demonstrated that the primary flow velocity is skewed towards the inner wall of the ascending aorta; but this skewness shifts towards the posterior wall in the aortic arch and then towards the anterior-outer wall in the descending aorta. Within the three arch branches, the flow velocity is skewed to the distal walls with flow reversal along the proximal walls. Strong secondary flow motion is observed in the TA, especially at the inlet of the arch branches. WSS is highly dynamic, but was found to be the lowest along the proximal walls of the arch branches. Finally, pressure was found to be low along the inner aortic wall and in the proximal walls of the arch branches, and high around the three stagnation regions distal to the arch branches and along the outer wall of the ascending aorta.

En este trabajo se analiza la dinámica del flujo sanguíneo en un modelo realista de la aorta torácica (TA, por sus siglas en inglés) en condiciones transitorias visualizando las distribuciones de velocidad, flujo secundario, presión y esfuerzos cortantes parietales (WSS). Los resultados obtenidos muestran que la velocidad primaria del flujo tiende hacia la pared interior de la aorta ascendente, pero esta, a su vez, tiende hacia la pared posterior en el arco aórtico y hacia las paredes anterior y exterior en la aorta descendente. En las tres ramificaciones del arco aórtico la velocidad del flujo se acerca hacia las paredes distales mostrando recirculación del flujo en las cercanías de las paredes proximales. En la TA se observa un flujo secundario intenso, especialmente a la entrada de las ramificaciones del arco. Finalmente, la presión es baja a lo largo de la pared interior de la aorta y en las paredes proximales de las ramificaciones, mientras que es alta en las zonas de estancamiento situadas en las paredes distales de las ramificaciones así como a lo largo de la pared exterior de la aorta ascendente.

References

Caballero, AD., Laín, S. (2013). A Review on Computational Fluid Dynamics Modelling in Human Thoracic Aorta. Cardiovascular Engineering and Technology, 4, 103-130.

Caballero, AD., Laín, S. (2015). Numerical Simulation of non- Newtonian Blood Flow Dynamics in Human Thoracic Aorta. Computer Methods in Biomechanics and Biomedical Engineering, 18, 1200-1216.

Cecchi, E., Giglioli, C., Valente, S., Lazzeri, C., Gensini, G.F., Abbate, R., Mannini, L. (2011). Role of hemodynamic shear stress in cardiovascular disease. Atherosclerosis., 214, 249-256.

Chandran, K.B. (1993). Flow Dynamics in the Human Aorta. J Biomech Eng., 115, 611–616.

Dabagh, M., Vasava, P., & Jalali, P. (2015). Effects of severity and location of stenosis on the hemodynamics in human aorta and its branches. Medical & biological engineering & computing, 53(5), 463- 476.

Fung, Y.C. (1997). Biomechanics Circulation. 2nd ed. Springer.

Gallo, D., Gülan, U., Di Stefano, A., Ponzini, R., Lüthi, B., Holzner, M., & Morbiducci, U. (2014). Analysis of thoracic aorta hemodynamics using 3D particle tracking velocimetry and computational fluid dynamics. Journal of biomechanics, 47(12), 3149-3155.

Kern, M.J., Lim, M.J., Goldstein, J.A. (2009). Hemodynamic Rounds: Interpretation of Cardiac Pathophysiology from Pressure Waveform Analysis Transport Phenomena in the Cardiovascular System. 3rd ed. Wiley-Blackwell.

Kilner, P.J., Yang, G.Z., Mohiaddin, R.H., Firmin, D.N., Longmore, D.B.

(1993). Helical and retrograde secondary flow patterns in the aortic arch studied by three-directional magnetic resonance velocity mapping., Circulation. 88(5), 2235-2247.

Liu, X., Fan, Y., Deng, X., Zhan, F. (2011). Effect of non- Newtonian and pulsatile blood flow on mass transport in the human aorta. J Biomech., 44(6), 123-1131.

Liepsch, D., Moravec, S.T., Baumgart, R. (1992). Some flow visualization and laser-Doppler velocity measurements in a tube-to scale elastic model of a human arotic arch—a new model technique. Biorheology., 29, 563–580.

Lantz, J., Gardhagen, R., Karlsson, M. (2012). Quantifying turbulent wall shear stress in a subject specific human aorta using large eddy simulation. Med Eng Phys., 34, 1139-1148.

Middleman, S. (1972). Transport Phenomena in the Cardiovascular System. 1st ed. John Wiley and Sons.

Morbiducci, U., Ponzini, R., Rizzo, G., Cadioli, M., Esposito, A., Montevecchi, F.M., Redaelli, A. (2011). Mechanistic insight into the physiological relevance of helical blood flow in the human aorta. An in vivo study. Biomech Model Mechanobiol, 10, 339–355.

Morbiducci, U., Ponzini, R., Gallo, D., Bignardi, C., Rizzo, G. (2013). Inflow boundary conditions for image-based computational hemodynamics: impact of idealized versus measured velocity profiles in the human aorta. J Biomech., 46, 102-109.

Morris, L., Delassus, P., Callanan, A., Walsh, M., Wallis, F., Grace, P., McGloughlin, T. (2005). 3-D numerical simulation of blood flow through models of the human aorta. J. Biomech Eng., 127, 767-775.

Mori, D., & Yamaguchi, T. (2002). Computational fluid dynamics modeling and analysis of the effect of 3-D distortion of the human aortic arch. Computer Methods in Biomechanics & Biomedical Engineering, 5(3), 249-260.

Nerem, R.M., Rumberger, J.A., Gross, D.R., Hamlin, R.L., Geiger, G.L.

(1974). Hot-Film Anemometry Velocity Measurements of Arterial Blood Flow in Horses. CircRes, 10, 301–313.

Park, Y.J., Park, C.Y., Hwang, C.M., Sun, K., Min, B.G., (2007). Pseudo organ boundary conditions applied to a computational fluid dynamics model of the human aorta. Comput. Biol., Med. 37, (8), 1063-1072.

Pedley, T.J. (1980). The Fluid Mechanics of Large Blood Vessels. Cambridge University Press, Cambridge.

Prakash, S., Ethier, C.R. (2001). Requirements for mesh resolution in 3D computational hemodynamics. J. Biomech Eng., 23, 134–144.

Seed, W.A., Wood, N.B. (1971). Velocity Patterns in the Aorta. Cardiovasc, Res. 5, 319–330.

Shahcheraghi, N., Dwyer, H.A., Cheer, A.Y., Barakat, AI., Rutanganira, T.

(2002). Unsteady and three-dimensional simulation of blood flow in the human aortic arch. J. Biomech Eng., 124, 378-87.

Simbios project, (2007). Retrieved from: https://simtk.org/xml/ index.xml, http://simbios.stanford.edu/

Vasava, P., Jalali, P., Dabagh, M., Kolari, P. (2012). Finite element modelling of pulsatile blood flow in idealized model of human aortic arch: Study of hypotension and hypertension. Comp. Math. Methods in Medicine., 2012, Article ID 861837.

Versteeg. H.K., Malalasekera, W. (2007). An introduction to computational fluid dynamics. The finite volume method. Pearson, London.

Wen, C.Y., Yang, A.S., Tseng, L.Y.,Chai, JW. (2010). Investigation of Pulsatile flow field in healthy thoracic aorta models. Ann Biomed Eng., 38, 391-402.

White, F. M. (1979). Viscous Fluid Flow, McGraw-Hill, New York.

Womersley, J.R. (1955). Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure is known. J Physiol., 127, 553–563.