Hemodynamics in a Pediatric Ascending Aorta Using a Viscoelastic Pediatric Blood Model

Annals of Biomedical Engineering

Volumn 44, Issue 4, 2016, Pages 1019-1035

  Good, Bryan C ^a   Deutsch, Steven ^a   Manning, Keefe B ^a,b  

^a The Pennsylvania State University   (United States)

^b PENN STATE MILTON S HERSHEY MEDICAL CENTER   (United States)

Author keywords

Computational fluid dynamics; Oldroyd B; Viscoelasticity; Wall shear stress

Indexed keywords

BLOOD; BLOOD VESSELS; DISEASES; FLUID DYNAMICS; NEWTONIAN LIQUIDS; PEDIATRICS; SHEAR FLOW; SHEAR STRESS; SHEAR THINNING; VISCOELASTICITY;

COMPUTATIONAL FLUID DYNAMICS SIMULATIONS; CONGENITAL HEART DISEASE; HEMODYNAMIC PARAMETERS; MECHANICAL CIRCULATORY SUPPORT DEVICE; OLDROYD-B; PEDIATRIC VENTRICULAR ASSIST DEVICE; VISCOELASTIC MODELING; WALL SHEAR STRESS;

COMPUTATIONAL FLUID DYNAMICS;

ARTICLE; ASCENDING AORTA; BLOOD ANALYSIS; BLOOD FLOW VELOCITY; DESCENDING AORTA; FLOW RATE; HEART CYCLE; HEART HEMODYNAMICS; HEMATOCRIT; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PHYSICAL MODEL; PRIORITY JOURNAL; PROCESS MODEL; SENSITIVITY ANALYSIS; SHEAR STRESS; SYSTOLE; VISCOELASTICITY; AORTA; BIOLOGICAL MODEL; CHILD; ELASTICITY; HEMODYNAMICS; HUMAN; INFANT; PHYSIOLOGY; VISCOSITY;

AORTA; CHILD; ELASTICITY; HEMODYNAMICS; HUMANS; INFANT; MODELS, CARDIOVASCULAR; VISCOSITY;

EID: 84964027494     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-015-1370-z     Document Type: Article

References (39)

1. Almond, C., D. Morales, E. Blackstone, M. Turrentine, M. Imamura, M. Massicotte, L. Jordan, et al. Berlin heart excor pediatric ventricular assist device for bridge to heart transplantation in us children. Circulation 127(16):1702–1711, 2013. doi:10.1161/CIRCULATIONAHA.
2. Anand, M., and K. Rajagopal. A shear-thinning viscoelastic fluid model for describing the flow of blood. Int. J. Cardiovasc. Med. Sci. 4(2):59–68, 2004.
3. Bachmann, C., G. Hugo, G. Rosenberg, S. Deutsch, A. Fontaine, and J. Tarbell. Fluid dynamics of a pediatric ventricular assist device. Artif Organs. 24(5):362–372, 2000.
4. Baldwin, J., H. Borovetz, and B. Duncan. The national heart, lung, and blood institute pediatric circulatory support program. Circulation 113(1):147–155, 2006. doi:10.1161/CIRCULATIONAHA.105.571422.
5. Canter, C., R. Shaddy, and D. Bernstein. Indications for heart transplantation in pediatric heart disease: a scientific statement from the american heart association council on cardiovascular disease in the young; the councils on clinical cardiology, cardiovascular nursing, and cardiovascular surgery and anesthesia: and the quality of care and outcomes research interdisciplinary working group. Circulation 115(5):658–676, 2007.
6. Chandran, K. B. Flow dynamics in the human aorta. J. Biomech. Eng. 115(4B):611–616, 1993.
7. Chien, S., S. Usami, R. Dellenback, and M. Gregersen. Blood viscosity: influence of erythrocyte deformation. Science 157:829–831, 1967. doi:10.1126/science.157.3790.829.
8. Chien, S., S. Usami, R. Dellenback, M. Gregersen, L. Nanninga, and M. Guest. Blood viscosity: influence of erythrocyte aggregation. Science 157:829–831, 1967. doi:10.1126/science.157.3790.829.
9. Deville, O., and T. Gatski. Mathematical Modeling for Complex Fluids and Flows. Springer Science & Business Media, 2012. doi:10.1007/978-3-642-25295-2.
10. Favero, J., A. Secchi, N. Cardozo, and H. Jasak. Viscoelastic flow analysis using the software OpenFOAM and differential constitutive equations. J. Non-Newton Fluid 165(23–24):1555–1716, 2010.
11. Fogel, M., P. Weinberg, J. Rychik, A. Hubbard, M. Jacobs, T. Spray, and J. Haselgrove. Caval contribution to flow in the branch pulmonary arteries of fontan patients with a novel application of magnetic resonance presaturation pulse. Circulation 99(9):1215–1221, 1999.
12. Gao, F., M. Watanabe, and T. Matsuzawa. Stress analysis in a layered aortic arch model under pulsatil blood flow. Biomed. Eng. Online. 5(25):1–11, 2006. doi:10.1186/1475-925X-5-25.
13. Giesekus, H. A simple constitutive equation for polymer fluids based on the concept of deformation-dependant tensorial mobility. J. Non-Newton Fluid. 11(1):69–109, 1982. doi:10.1016/0377-0257(82)85016-7.
14. Gijsen, F., F. van de Vosse, and J. Janssen. The influence of the non-newtonian properties of blood on the flow in large arteries: unsteady flow in a 90 degree curved tube. J. Biomech. 32(7):705–713, 1999.
15. Gijsen, F., F. van de Vosse, and J. Janssen. The influence of the non-newtonian properties of blood on the flow in larger arteries: steady flow in a carotid bifurcation model. J. Biomech. 32(6):601–608, 1999.
16. Hakim, S., J. Morshedian, M. Narenji, and P. Nia. Rheological Modelling of Caspian Pony Blood. Iran. Polym. J. 10(5):293–303, 2001.
17. Issa, R. Solution of the implicitly discretised fluid flow equations by operator-splitting. J. Comput. Phys. 62(1):1–263, 1986.
18. Johnston, B., P. Johnston, S. Corney, and D. Kilpatrick. Non-Newtonian blood flow in human right coronary arteries: steady state simulations. J. Biomech. 37(5):709–720, 2004.
19. Kent, A., Z. Kecskes, B. Shadbolt, and M. Falk. Blood pressure in the first year of life in healthy infants born at term. Pediatr. Nephrol. 22(10):1743–1749, 2007; (Epub 2007).
20. Ku, D. Blood flow in arteries. Annu. Rev. Fluid Mech. 29(1):399–434, 1997. doi:10.1146/annurev.fluid.29.1.
21. Leonov, A. Nonequilibrium thermodynamics and rheology of viscoelastic polymer media. Rheol. Acta. 15(2):85–98, 1976.
22. Linderkamp, O., H. Versmold, K. Riegel, and K. Betke. Contributions of red cells and plasma to blood viscosity in preterm and full-term infants and adults. Pediatrics 74(1):45–51, 1984.
23. Liu, X., Y. Fan, X. Deng, and F. Zhan. Effect of non-newtonian and pulsatile blood flow on mass transport in the human aorta. J. Biomech. 44(6):1123–1131, 2011. doi:10.1016/j.jbiomech.2011.01.024.
24. Long, J., A. Undar, K. Manning, and S. Deutsch. Viscoelasticity of pediatric blood and its implications for the testing of a pulsatile pediatric blood pump. ASAIO J. 51(5):563–566, 2005.
25. Machii, M., and A. Becker. Morphologic features of the normal aortic arch in neonates, infants, and children pertinent to growth. Ann. Thorac. Surg. 64(2):511–515, 1997.
26. Mah, D., T. Singh, R. Thiagarajan, K. Gauvreau, G. Piercey, E. Blume, F. Fynn-Thompson, and C. Almond. Incidence and risk factors for mortality in infants awaiting heart transplantation in the USA. J. Heart Lung Transpl. 28(12):1292–1298, 2009. doi:10.1016/j.healun.2009.06.013.
27. Nakamura, M., and T. Sawada. Numerical study on the flow of a non-newtonian fluid through an axisymmetric stenosis. J. Biomech. Eng. 110(2):137–143, 1988.
28. Pantalos, G., G. Giridharan, J. Colyer, M. Mitchel, J. Speakman, C. Lucci, G. Johnson, M. Gartner, and S. Koenig. Effect of continuous and pulsatile left ventricular assist on pulsatility in a pediatric animal model of left ventricular dysfunction: pilot observations. ASAIO J. 53(3):385–391, 2007.
29. Pekkan, K., O. Dur, K. Sundareswaran, K. Kanter, M. Fogel, A. Yoganathan, and A. Undar. Neonatal aortic arch hemodynamics and perfusion during cardiopulmonary bypass. J. Biomech. Eng. 130(6):061012, 2008. doi:10.1115/1.2978988.
30. Pekkan, K., D. Frakes, D. De Zelicourt, C. Lucas, J. Parks, and A. Yoganathan. Coupling pediatric ventricle assist devices to the fontan circulation: simulations with a lumped-parameter model. ASAIO J. 51(5):618–628, 2005.
31. Phillips, W., and S. Deutsch. Towards a constitutive equation for blood. Biorheology 12(6):383–389, 1975.
32. Rajagopal, K., and A. Srinivasa. A thermodynamic framework for rate-type fluid models. J. Non-Newton Fluid 88(3):207–227, 2000.
33. Reinhart, W., S. Danoff, R. King, and S. Chien. Rheology of fetal and maternal blood. Pediatr. Res. 19(1):147–153, 1985.
34. Shahcheraghi, N., H. Dwyer, A. Cheer, I. Barakat, and T. Rutaganira. Unsteady and three-dimensional simulation of blood flow in the human aortic arch. J. Biomech. Eng. 124(4):378–387, 2002.
35. Thurston, G. Viscoelasticity of human blood. Biophys. J. 12(9):1205–1217, 1972.
36. Tu, C., and M. Deville. Pulsatile flow of non-newtonian fluids through arterial stenoses. J. Biomech. 29(7):899–908, 1996.
37. Yang, N., S. Deutsch, E. Paterson, and K. Manning. Comparative study of continuous and pulsatile left ventricular assist devices on hemodynamics of a pediatric end-to-side anastomotic graft. Cardiovasc. Eng. Technol. 1(1):88–103, 2010. doi:10.1007/s13239-010-0006-6.
38. Yang, N., S. Deutsch, E. Paterson, and K. Manning. Hemodynamics of an end-to-side anastomotic graft for a pulsatile pediatric ventricular assist device. J. Biomech. Eng. 132(3):031009, 2010. doi:10.1115/1.4000872.
39. Yeleswarapu, K. Evaluation of continuum models for characterizing the constitutive behavior of blood. Pittsburgh: Springer, 1996.