Biomedical Engineering Reference
In-Depth Information
[50] Robicsek F., Thubrikar M.J., Cook J.W., Fowler B.: The congenitally bicuspid aortic valve:
how does it function? Why does it fail? The Annals of Thoracic Surgery
77
(1): 177-185,
2004.
[51] Gurvitz M., Chang R.K., Drant S., Allada V.: Frequency of aortic root dilation in children
with a bicuspid aortic valve. The American Journal of Cardiology
94
(10): 1337-1340, 2004.
[52] den Reijer P.M., Sallee D., van der Velden P., Zaaijer E., Parks W.J., Ramamurthy S., Rob-
bie T. , Donati G. Lamphier C., Beekman R., and Brummer M.: Hemodynamic predictors of
aortic dilatation in bicuspid aortic valve by velocity-encoded cardiovascular magnetic reso-
nance. Journal of Cardiovascular Magnetic Resonance
12
(1): 4, 2010.
[53] Viscardi F., Vergara C., Antiga L., Merelli S., Veneziani A., Puppini G., Faggian G., Maz-
zucco A., Luciani G.B.: Comparative Finite Element Model Analysis of Ascending Aortic
Flow in Bicuspid and Tricuspid Aortic Valve. Artificial Organs
34
(12): 1114-1120, 2010.
[54] Dwight R.P.: Bayesian inference for data assimilation using Least-Squares Finite Element
methods. In IOP Conference Series: Materials Science and Engineering, vol. 10, p. 012224.
IOP Publishing, 2010.
[55] D'Elia M., Veneziani A.: Methods for assimilating blood velocity measures in hemodynamics
simulations: Preliminary results. Procedia Computer Science
1
(1): 1231-1239, 2010. ICCS
2010.
[56] Quarteroni A., Valli A.: Numerical Approximation of Partial Differential Equations. Springer,
1994.
[57] Hansen P.C.: Rank-deficient and discrete ill-posed problems: numerical aspects of linear in-
version. Society for Industrial Mathematics, 1998.
[58] D'Elia M., Perego M., Veneziani A.: A variational data assimilation procedure for the incom-
pressible Navier-Stokes equations in hemodynamics. Technical Report TR-2010-19, Depart-
ment of Mathematics & CS, Emory University, 2010.
[59] Nobile F., Tempone R.: Analysis and implementation issues for the numerical approximation
of parabolic equations with random coefficients. International Journal for Numerical Methods
in Engineering
80
: 979-1006, 2009.
[60] Oden J.T., Babuska I., Nobile F., Feng Y., Tempone R.: Theory and methodology for es-
timation and control of errors due to modeling, approximation, and uncertainty. Computer
Methods in Applied Mechanics and Engineering
194
(2-5): 195-204, 2005. Selected papers
from the 11th Conference on The Mathematics of Finite Elements and Applications.
[61] Elman H.C., Miller C.W., Phipps E.T., Tuminaro R.S.: Assessment Of Collocation And
Galerkin Approaches To Linear Diffusion Equations With Random Data. International Jour-
nal for Uncertainty Quantification
1
(1), 2011.
[62] Bertero M., Piana M.: Inverse problems in biomedical imaging: modeling and methods
of solution. In: Quarteroni A., Formaggia L., Veneziani A. (eds.), Complex Systems in
Biomedicine, chap. 1, pp. 1-33. Springer, 2006.
[63] Sforza D.M., Lohner R., Putman C., Cebral J.R.: Hemodynamic analysis of intracranial
aneurysms with moving parent arteries: Basilar tip aneurysms. International Journal for Nu-
merical Methods in Biomedical Engineering, 2010.
[64] Holzapfel G.A., Gasser T.C., Ogden R.W.: A new constitutive framework for arterial wall
mechanics and a comparative study of material models. Journal of Elasticity
61
(1): 1-48,
2000.
[65] Wulandana R., Robertson A.M.: An inelastic multi-mechanism constitutive equation for cere-
bral arterial tissue. Biomechanics and Modeling in Mechanobiology
4
(4): 235-248, 2005.
[66] Causin P., Gerbeau J.F., Nobile F.: Added-mass effect in the design of partitioned algo-
rithms for fluid-structure problems. Computer Methods in Applied Mechanics and Engineer-
ing
194
(42-44): 4506-4527, 2005.
[67] Gerardo-Giorda L., Nobile F., Vergara C.: Analysis and optimization of robin-robin parti-
tioned procedures in fluid-structure interaction problems. SIAM J. Num. Anal.
48
(6): 2091-
2116, 2010.
[68] Torii R., Keegan J., Wood N.B., Dowsey A.W., Hughes A.D., Yang G.Z., Firmin D.N., Thom
S.A.M.G., Xu X.Y.: MR Image-Based Geometric and Hemodynamic Investigation of the
