Assessing the influence of heart rate in local hemodynamics through coupled 3D-1D-0D models

International Journal for Numerical Methods in Biomedical Engineering

Volumn 26, Issue 7, 2010, Pages 890-903

  Blanco, P J ^a,b   Urquiza, S A ^b,c   Feijoo R A ^a,b  

^a LABORATÓRIO NACIONAL DE COMPUTAÇÃO CIENTÍFICA   (Brazil)

^b Instituto Nacional de Ciência e Tecnologia Informação Pecuária   (Brazil)

^c UNIVERSIDAD NACIONAL DE MAR DEL PLATA   (Argentina)

Author keywords

Arteries; Blood flow; Computational hemodynamics; Multi dimensional models; Numerical simulations

Indexed keywords

1-D MODELS; 3D MODELS; ABDOMINAL AORTA; ARTERIAL TREE; BLOOD FLOW; CAROTID ARTERY; COMPUTATIONAL HEMODYNAMICS; GLOBAL SETTINGS; HEART RATES; HETEROGENEOUS MODELS; MICROVASCULAR; MULTI-DIMENSIONAL MODEL; NUMERICAL SIMULATION; RESTING HEART RATE; RESTING STATE; STANDARDIZED MODELS; SYSTEMIC CIRCULATION; VASCULAR NETWORK;

BLOOD; HEART; HEMODYNAMICS; HYDRODYNAMICS; WAVE PROPAGATION;

THREE DIMENSIONAL;

EID: 77954615881     PISSN: 20407939     EISSN: 20407947     Source Type: Journal    
DOI: 10.1002/cnm.1389     Document Type: Article

References (23)

1. Grinberg L, Anor T, Madsen J, Yakhot A, Karniadakis G. Large-scale simulation of the human arterial tree. Clinical and Experimental Pharmacology and Physiology 2009; 36:194-205.
2. Formaggia L, Gerbeau JF, Nobile F, Quarteroni A. On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. Computer Methods in Applied Mechanics and Engineering 2001; 191:561-582.
3. Blanco P, Feijóo R, Urquiza S. A unified variational approach for coupling 3D-1D models and its blood flow applications. Computer Methods in Applied Mechanics and Engineering 2007; 196:4391-4410.
4. Vignon-Clementel I, Figueroa C, Jansen K, Taylor C. Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure waves in arteries. Computer Methods in Applied Mechanics and Engineering 2006; 195:3776-3996.
5. Urquiza S, Blanco P, Vénere M, Feijóo R. Multidimensional modeling for the carotid blood flow. Computer Methods in Applied Mechanics and Engineering 2006; 195:4002-4017.
6. Migliavacca F, Balossino R, Pennati G, Dubini G, Hsia TY, de Leval M, Bove E. Multiscale modelling in biofluidynamics: application to reconstructive paediatric cardiac surgery. Journal of Biomechanics 2006; 39:1010-1020.
7. Blanco P, Pivello M, Urquiza S, Feijóo R. On the potentialities of 3D-1D coupled models in hemodynamics simulations. Journal of Biomechanics 2009; 42:919-930.
8. Kim H, Vignon-Clementel I, Figueroa C, LaDisa J, Jansen K, Feinstein J, Taylor C. On coupling a lumped parameter heart model and a three-dimensional finite element aorta model. Annals of Biomedical Engineering 2009; 37:2153-2169.
9. Gillman M, Kannel W, Belanger A et al. Influence of heart rate on mortality among persons with hypertension: the Framingham study. American Heart Journal 1993; 125:1148-1154.
10. Palatini P, Thijs L, Staessen J et al. Predictive value of clinic and ambulatory heart rate for mortality in elderly subjects with systolic hypertension. Archives of Internal Medicine 2002; 162:2313-2321.
11. Reil J, Bohm M. The role of heart rate in the development of cardiovascular disease. Clinical Research in Cardiology 2007; 96:585-592.
12. Bharadvaj B, Mabon R, Giddens D. Steady flow in a model of the human carotid bifurcation-I. Flow visualisation. Journal of Biomechanics 1982; 15:349-362.
13. Taylor C, Hughes T, Zarins C. Effect of exercise on hemodynamic conditions in the abdominal aorta. Journal of Vascular Surgery 1999; 29:1077-1089.
14. Cebral J, Castro M, Appanaboyina S, Putman C, Millan D, Frangi A. Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: technique and sensitivity. IEEE Transactions on Medical Imaging 2005; 24:457-467.
15. Kim H, Figueroa C, Hughes T, Jansen K, Taylor C. Augmented lagrangian method for constraining the shape of velocity profiles at outlet boundaries for three-dimensional finite element simulations of blood flow. Computer Methods in Applied Mechanics and Engineering 2009; 198:3551-3566.
16. Avolio A. Multibranched model of the human arterial system. Medical and Biological Engineering and Computing 1980; 18:709-718.
17. Formaggia L, Quarteroni A, Veneziani A. Cardiovascular Mathematics: Modeling and Simulation of the Circulatory System. Series, MS&A. Springer: Berlin, 2009.
18. Nichols W, O'Rourke M. McDonald's Blood Flow in Arteries: Theoretical, Experimental and Clinical Principles. Arnold and Oxford University Press: Paris, 1998.
19. Stergiopulos N, Young D, Rogge T. Computer simulation of arterial flow with applications to arterial and aortic stenoses. Journal of Biomechanics 1992; 25:1477-1488.
20. Seifter J, Ratner A, Sloane D. Concepts in Medical Physiology. Lippincott Williams & Wilkins: Philadelphia, 2005.
21. Spencer M, Deninson A. The square-wave electro-magnetic flowmeter. Theory of operation and design of magnetic probes for clinical and experimental applications. I.R.E. Transactions on Medical Electronics 1959; 6:220-228.
22. Stettler J, Niederer P, Anliker M. Theoretical analysis of arterial hemodynamics including the influence of bifurcations, part I. Annals of Biomedical Engineering 1981; 9:145-164.
23. Valentini M, Parati G. Variables influencing heart rate. Progress in Cardiovascular Diseases 2009; 52:11-19.