Characterization of coherent structures in the cardiovascular system

Annals of Biomedical Engineering

Volumn 36, Issue 7, 2008, Pages 1152-1162

  Shadden, Shawn C ^a   Taylor, Charles A ^a  

^a Stanford University   (United States)

Author keywords

Biofluid mechanics; Computational fluid dynamics; Finite time Lyapunov exponents; Hemodynamics; Lagrangian coherent structures

Indexed keywords

BIOMECHANICS; BLOOD; CHARACTERIZATION; COMPUTATIONAL FLUID DYNAMICS; FINITE AUTOMATA; HEALTH CARE; LAGRANGE MULTIPLIERS;

BIOFLUID MECHANICS; FINITE-TIME LYAPUNOV EXPONENTS; LAGRANGIAN COHERENT STRUCTURES; STAGNATION;

HEMODYNAMICS;

ALGORITHM; ANIMAL; ARTICLE; BIOLOGICAL MODEL; BLOOD FLOW VELOCITY; BLOOD PRESSURE; BLOOD VESSEL; COMPUTER SIMULATION; FLOW KINETICS; HUMAN; METHODOLOGY; PHYSIOLOGY;

ALGORITHMS; ANIMALS; BLOOD FLOW VELOCITY; BLOOD PRESSURE; BLOOD VESSELS; COMPUTER SIMULATION; HUMANS; MODELS, CARDIOVASCULAR; RHEOLOGY;

EID: 44649107730     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-008-9502-3     Document Type: Article

References (42)

1. R. J. Adrian. Particle imaging techniques for experimental fluid mechanics. Annual Review of Fluid Mechanics, 23:261-304, 1991.
2. B. K. Bharadvaj, R. F. Mabon, and D. P. Giddens. Steady flow in a model of the human carotid bifurcation. Part I-Flow visualization. Journal of Biomechanics, 15(5):349-362, 1982.
3. D. Bluestein, L. Niu, R. T. Schoephoerster, and M. K. Dewanjee. Steady flow in an aneurysm model: Correlation between fluid dynamics and blood platelet deposition. Journal of Biomechanical Engineering, 118(3):280-294, 1996.
4. C. J. Egelhoff, R. S. Budwig, D. F. Elger, T. A. Khraishi, and K. H. Johansen. Model studies of the flow in abdominal aortic aneurysms during resting and exercise conditions. Journal of Biomechanics, 32(12):1319-1329, 1999.
5. Fehlberg, E. Low-order classical Runge-Kutta formulas with step size control and their application to some heat transfer problems. NASA Technical Report, 315, 1969.
6. M. Gharib, E. Rambod, and K. Shariff. A universal time scale for vortex ring formation. Journal of Fluid Mechanics, 360:121-140, 1998.
7. G. Haller. Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Physica D, 149(4):248-277, 2001.
8. G. Haller and A. C. Poje. Finite time transport in aperiodic flows. Physica D, 119(3-4):352-380, 1998.
9. K. E. Jansen, C. H. Whiting, and G. M. Hulbert. Generalized-alpha method for integrating the filtered Navier-Stokes equations with a stabilized finite element method. Computer Methods in Applied Mechanics and Engineering, 190(3):305-319, 2000.
10. H. Justino, L. N. Benson, and R. M. Freedom. Development of unilateral pulmonary arteriovenous malformations due to unequal distribution of hepatic venous flow. Circulation, 103(8):E39-E40, 2001.
11. D. N. Ku and D. P. Giddens. Pulsatile flow in a model carotid bifurcation. Arteriosclerosis, 3(1):31-39, 1983.
12. D. N. Ku, D. P. Giddens, C. K. Zarins, and S. Glagov. Pulsatile flow and atherosclerosis in the human carotid bifurcation: Positive correlation between plaque location and low and oscillating shear-stress. Arteriosclerosis, 5(3):293-302, 1985.
13. S. Laurent, J. Cockcroft, L. Van Bortel, P. Boutouyrie, C. Giannattasio, D. Hayoz, B. Pannier, C. Vlachopoulos, I. Wilkinson, and H. Struijker-Boudier. Expert consensus document on arterial stiffness: Methodological issues and clinical applications. European Heart Journal, 27(21):2588-2605, 2006.
14. F. Lekien, S. C. Shadden, and J. E. Marsden. Lagrangian coherent structures in n-dimensional systems. Journal of Mathematical Physics, 48(6):065404, 2007.
15. M. Markl, F. P. Chan, M. T. Alley, K. L. Wedding, M. T. Draney, C. J. Elkins, D. W. Parker, R. Wicker, C. A. Taylor, R. J. Herfkens, and N. J. Pelc. Time-resolved three-dimensional phase-contrast MRI. Journal of Magnetic Resonance Imaging, 17(4):499-506, 2003.
16. Marsden, A. L., A. Bernstein, V. M. Reddy, S. C. Shadden, R. L. Spilker, F. P. Chan, C. A. Taylor, and J. A. Feinstein. Evaluation of a novel Y-shaped extracardiac Fontan baffle using computational fluid dynamics. J. Thorac. Cardiovasc. Surg. (submitted)
17. A. L. Marsden, I. E. Vignon-Clementel, F. Chan, J. A. Feinstein, and C. A. Taylor. Effects of exercise and respiration on hemodynamic efficiency in CFD simulations of the total cavopulmonary connection. Annals of Biomedical Engineering, 35(2):250-263, 2007.
18. I. Marshall, P. Papathanasopoulou, and K. Wartolowksa. Carotid flow rates and flow division at the bifurcation in healthy volunteers. Physiological Measurement, 25(3):961-967, 2004.
19. J. E. Moore, C. Xu, S. Glagov, C. K. Zarins, and D. N. Ku. Fluid wall shear stress measurements in a model of the human abdominal aorta: Oscillatory behavior and relationship to atherosclerosis. Atherosclerosis, 110(2):225-240, 1994.
20. J. M. Ottino. The kinematics of mixing: Stretching, chaos, and transport. Cambridge University Press, New York, 1989.
21. R. A. Peattie, T. J. Riehle, and E. I. Bluth. Pulsatile flow in fusiform models of abdominal aortic aneurysms: Flow fields, velocity patterns and flow-induced wall stresses. Journal of Biomechanical Engineering, 126(4):438-446, 2004.
22. Pierrehumbert, R. T. Large-scale horizontal mixing in planetary atmospheres. Phys. Fluids A 3(5):1250-1260, 1991.
23. Sahni, O., J. Muller, K. E. Jansen, M. S. Shephard, and C. A. Taylor. Efficient anisotropic adaptive discretization of the cardiovascular system. Comput. Methods Appl. Mech. Eng. 195(41-43):5634-5655, 2006.
24. A. V. Salsac, S. R. Sparks, and J. C. Lasheras. Hemodynamic changes occurring during the progressive enlargement of abdominal aortic aneurysms. Annals of Vascular Surgery, 18(1):14-21, 2004.
25. Shadden, S. C. A dynamical systems approach to unsteady systems. PhD thesis, California Institute of Technology, 2006.
26. S. C. Shadden, J. O. Dabiri, and J. E. Marsden. Lagrangian analysis of fluid transport in empirical vortex rings. Physics of Fluids, 18(4):047105, 2006.
27. S. C. Shadden, K. Katija, M. Rosenfeld, J. E. Marsden, and J. O. Dabiri. Transport and stirring induced by vortex formation. Journal of Fluid Mechanics, 593:315-331, 2007.
28. S. C. Shadden, F. Lekien, and J. E. Marsden. Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Physica D, 212(3-4):271-304, 2005.
29. R. L. Spilker, J. Feinstein, D. Parker, V.M. Reddy, and C. A. Taylor. Morphometry-based impedance boundary conditions for patient-specific modeling of blood flow in pulmonary arteries. Annals of Biomedical Engineering, 35(4):546-559, 2007.
30. C. A. Taylor and M. T. Draney. Experimental and computational methods in cardiovascular fluid mechanics. Annual Review of Fluid Mechanics, 36:197-231, 2004.
31. C. A. Taylor, M. T. Draney, J. P. Ku, D. Parker, B. N. Steele, K. Wang, and C. K. Zarins. Predictive medicine: Computational techniques in therapeutic decision-making. Computer Aided Surgery, 4(5):231-247, 1999.
32. C. A. Taylor, T. J. R. Hughes, and C. K. Zarins. Finite element modeling of blood flow in arteries. Computer Methods in Applied Mechanics and Engineering, 158(1-2):155-196, 1998.
33. C. A. Taylor, T. J. R. Hughes, and C. K. Zarins. Finite element modeling of three-dimensional pulsatile flow in the abdominal aorta: Relevance to atherosclerosis. Annals of Biomedical Engineering, 26(6):975-987, 1998.
34. T. W. Taylor and T. Yamaguchi. Three-dimensional simulation of blood flow in an abdominal aortic aneurysm: Steady and unsteady flow cases. Journal of Biomechanical Engineering, 116(1):89-97, 1994.
35. I. E. Vignon-Clementel, C. A. Figueroa, K. E. Jansen, and C. A. Taylor. Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteriesComputer Methods in Applied Mechanics and Engineering, 195(29-32):3776-3796, 2006.
36. Wang, K. C. On the current controversy about unsteady separation. In: Numerical and Physical Aspects of Aerodynamic Flows, edited by T. Cebeci. Springer, 1982.
37. N. Westerhof, F. Bosman, C. J. De Vries, and A. Noordergraaf. Analog studies of the human systemic arterial tree. Journal of Biomechanics, 2(2):121-143, 1969.
38. C. H. Whiting and K. E. Jansen. A stabilized finite element method for the incompressible Navier-Stokes equations using a hierarchical basis. International Journal for Numerical Methods in Fluids, 35(1):93-116, 2001.
39. S. Wiggins. The dynamical systems approach to Langrangian transport in oceanic flows. Annual Review of Fluid Mechanics, 37:295-328, 2005.
40. N. Wilson, F. R. Arko, and C. A. Taylor. Patient-specific operative planning for aorto-femoral reconstruction procedures. Lecture Notes in Computer Science, 3217:422-429, 2004.
41. N. Wilson, K. Wang, R. Dutton, and C. A. Taylor. A software framework for creating patient specific geometric models from medical imaging data for simulation based medical planning of vascular surgery. Lecture Notes in Computer Science, 2208:449-456, 2001.
42. C. K. Zarins, D. P. Giddens, B. K. Bharadvaj, V. S. Sottiurai, R. F. Mabon, and S. Glagov. Carotid bifurcation atherosclerosis: Quantitative correlation of plaque localization with flow velocity profiles and wall shear stress. Circulation Research, 53(4):502-514, 1983.