External tissue support and fluid-structure simulation in blood flows

Biomechanics and Modeling in Mechanobiology

Volumn 11, Issue 1-2, 2012, Pages 1-18

  Moireau, P ^a,b   Xiao, N ^b   Astorino, M ^a,d   Figueroa, C A ^b   Chapelle, D ^a   Taylor, C A ^b   Gerbeau, J F ^a,c  

^a INRIA   (France)

^b Clark Center ^*  (United States)

^c STANFORD UNIVERSITY   (United States)

^d EPFL   (Switzerland)

Author keywords

Aorta modeling; Blood flows; Boundary conditions; Fluid structure interaction; Patient specific geometry; Tissue support

Indexed keywords

BLOOD; BLOOD VESSELS; BOUNDARY CONDITIONS; FLUID STRUCTURE INTERACTION; HEMODYNAMICS; HISTOLOGY; IMAGE SEGMENTATION; PHYSIOLOGICAL MODELS;

ADEQUATE MODELS; AORTA MODEL; BLOOD FLOW; FLUID-STRUCTURE INTERACTION; FLUID-STRUCTURES; PATIENT SPECIFIC; PATIENT-SPECIFIC GEOMETRY; STRUCTURE SIMULATIONS; SUPPORT STRUCTURES; TISSUE SUPPORT;

TISSUE;

ADULT; ANTIBODY SPECIFICITY; ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; BLOOD FLOW VELOCITY; BLOOD RHEOLOGY; CALIBRATION; COMPUTER ASSISTED TOMOGRAPHY; COMPUTER SIMULATION; HUMAN; MALE; MIDDLE AGED; MOTION; PHYSIOLOGY;

ADULT; BIOMECHANICS; BLOOD FLOW VELOCITY; CALIBRATION; COMPUTER SIMULATION; HEMORHEOLOGY; HUMANS; MALE; MIDDLE AGED; MODELS, CARDIOVASCULAR; MOTION; ORGAN SPECIFICITY; TOMOGRAPHY, X-RAY COMPUTED;

EID: 84859924173     PISSN: 16177959     EISSN: 16177940     Source Type: Journal    
DOI: 10.1007/s10237-011-0289-z     Document Type: Article

References (37)

1. Alastrué V, Garcia A, Peña E, Rodríguez JF, Martínez MA, Doblaré M (2010) Numerical framework for patient-specific computational modelling of vascular tissue. Int J NumerMethods Biomed Eng 26(1):35-51
2. Bertoglio C, Fernández M, Gerbeau J-F, Moireau P (2009) Filteringbased data assimilation in fluid-structure interaction: towards personalization of vascular models. In: Nithiarasu P, Löhner R (eds) 1st International conference on mathematical and computational biomedical engineering-CMBE
3. Blanco PJ, Feijóo RA, Urquiza SA (2007) A unified variational approach for coupling 3D-1D models and its blood flow applications. Comput Methods Appl Mech Eng 196(41-44):4391-4410 (Pubitemid 47207766)
4. Blanco PJ, Pivello MR, Urquiza SA, Feijóo RA (2009) On the potentialities of 3D-1D coupled models in hemodynamics simulations. J Biomech 42(7):919-930
5. Chabiniok R, Chapelle D, Lesault PF, Rahmouni A, Deux JF (2009) Validation of a biomechanical heart model using animal data with acute myocardial infarction. In: CI2BM09-MICCAI workshop on cardiovascular interventional imaging and biophysical modelling, Lond on, UK
6. Chen CH, Nevo E, Fetics B, Pak PH, Yin FC, Maughan WL, Kass DA (1997) Estimation of central aortic pressure waveform by mathematical transformation of radial tonometry pressure. validation of generalized transfer function. Circulation 95(7):1827-1836 (Pubitemid 27164400)
7. Ciarlet PG (1988) Mathematical elasticity. Vol. I, volume 20 of Studies inMathematics and its Applications.North-Holland Publishing Co, Amsterdam
8. Fernández MA, Gerbeau J-F (2009) Fluid structure interaction problems in haemodynami cs, chap 9. In: Formaggia L, Quarteroni A, Veneziani A (eds) Mathematical Modelling of the Cardiovascular Syst em, Springer, Berlin
9. Fernández MA, Gerbeau J-F, Grandmont C (2006) A projection algorithm for fluid-structure interaction problems with strong addedmass effect. C R Acad Sci Paris Math 342
10. Fernández MA, Gerbeau J-F, Grandmont C (2007) A projection semiimplicit scheme for the coupling of an elastic structure with an incompressible fluid. Int J Numer Methods Eng 69(4):794-821 (Pubitemid 46117467)
11. Figueroa CA, Vignon-Clementel IE, Jansen KE, Hughes T JR, Taylor CA (2006) Acoupled momentum method formodeling blood flow in three-dimensional deformable arteries. Comput Methods Appl Mech Eng 195(41-43):5685-5706 (Pubitemid 44177275)
12. Formaggia L, Gerbeau J-F, Nobile F, Quarteroni A (2001) On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. Comput Methods Appl Mech Eng 191(6-7):561-582 (Pubitemid 34004491)
13. Formaggia L, Moura A, Nobile F (2007) On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations. M2AN Math Model Numer Anal 41(4): 743-769
14. Fung Y (1993) Biomechanics: mechanical properties of living tissu es, 2nd edn. Springer, Berlin
15. Gee M, Förster C, Wall W (2010) A computational strategy for prestressing patient-specific biomechanical problems under finite deformation. Int J Numer Methods Biomed Eng 26(1):52-72
16. Hauret P, Le Tallec P (2006) Energy-controlling time integration methods for nonlinear elastodynamics and low-velocity impact. Comput Methods Appl Mech Eng 195(37-40):4890-4916 (Pubitemid 43842589)
17. Holzapfel GA (2006) Determination of material models for arterial walls from uniaxial extension tests and histological structure. J Theor Biol 238(2):290-302 (Pubitemid 41828431)
18. Humphrey JD (2003) Continuum biomechanics of soft biological tissues. Proc R Soc Lond A 459:3-46 (Pubitemid 38315491)
19. Kerckhoffs R CP, Neal ML, Gu Q, Bassingthwaighte JB, Omens JM, Mcculloch AD (2007) Coupling of a 3D finite element model of cardiac ventricular mechanics to lumped systems models of the systemic and pulmonic circulation. Ann Biomed Eng 35(1):1-18 (Pubitemid 44916312)
20. Kim HJ, Figueroa CA, Hughes TJR, Jansen KE, TaylorCA(2009) Augmented lagrangian method for constraining the shape of velocity profiles at outlet boundaries for three-dimensional finite element simulations of blood flow. Comput Methods Appl Mech Eng
21. Kim HJ, Vignon-Clementel IE, Figueroa CA, LaDisa JF, Jansen KE, Feinstein JA, Taylor CA (2009) On coupling a lumped parameter heart model and a three-dimensional finite element aorta model. Ann Biomed Eng 37(11):2153-2169
22. Le Tallec P (1994) Numerical methods for nonlinear three-dimensional elasticity. In: Handbook of numerical analysis, vol III. North- Holla nd, pp 465-622
23. Les AS, Shadden SC, Figueroa CA, Park JM, Tedesco MM, Herfkens RJ, Dalman RL, Taylor CA (2010) Quantification of hemodynamics in abdominal aortic aneurysms during rest and exercise using magnetic resonance imaging and computational fluid dynamics. Ann Biomed Eng 38(4):1288-1313
24. Moireau P, Chapelle D (2010) Reduced-order unscented Kalman filtering with application to parameter identification in largedimensional systems. Cont Optim Calc Variat [Epub ahead of print]
25. Moireau P, Chapelle D, Le Tallec P (2008) Joint state and parameter estimation for distributed mechanical systems. Comput Methods Appl Mech Eng 197:659-677 (Pubitemid 350091298)
26. Moireau P, Chapelle D, Le Tallec P (2009) Filtering for distributed mechanical systems using position measurements: Perspectives in medical imaging. Inverse Probl 25(3):035010 (25pp)
27. Papadakis G (2009) Coupling 3D and 1D fluid-structure-interaction models for wave propagation in flexible vessels using a finite volume pressure-correction scheme. Commun Numer Methods Eng 25(5):533-551
28. Sainte-Marie J, Chapelle D, Cimrman R, Sorine M (2006) Modeling and estimation of the cardiac electromechanical activity. Comput Struct 84:1743-1759 (Pubitemid 44397150)
29. Spilker RL, Taylor CA (2010) Tuning multidomain hemodynamic simulations to match physiological measurements. Ann Biomed Eng 38(8):2635-2648
30. Taylor CA, Figueroa CA(2009) Patient-specific modeling of cardiovascularmechanics. Annual reviewof biomedical engineering, vol 11. Annual revie ws, pp 109-134
31. Taylor CA, Hughes T JR, Zarins CK (1998) Finite element modeling of blood flow in arteries. Comput Methods Appl Mech Eng 158: 155-196 (Pubitemid 28424825)
32. Vignon-Clementel IE, Figueroa CA, Jansen KE, TaylorCA (2006) Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries. Comput Methods Appl Mech Eng 195(29-32):3776-3796
33. Vignon-Clementel IE, Figueroa CA, Jansen KE, Taylor CA(2010) Outflowboundary conditions for 3Dsimulations of non-periodic blood flow and pressure fields in deformable arteries. Comput Methods Biomech Biomed Eng.
34. Weiss B, Spahn DR, Rahmig H, Rohling R, Pasch T (1996) Radial artery tonometry:moderately accurate but unpredictable technique of continuous non-invasive arterial pressure measurement. Br J Anaesth 76(3):405-411 (Pubitemid 26068833)
35. Whiting C, Jansen K (2001) A stabilized finite element method for the incompressibleNavier-Stokes equations using a hierarchical basis. Int J Numer Methods Fluids 35:93-116 (Pubitemid 32175047)
36. Xiong G, Figueroa CA, Xiao N, Taylor CA (2010) Simulation of blood flow in deformable vessels using subject-specific geometry and assigned variable mechanical wall properties. Int J Numer Methods Biomed Eng (Published online)
37. Yushkevich PA, Piven J, Hazlett HC, Smith RG, Ho S, Gee JC, Gerig G (2006) User-guided 3d active contoursegmentation of anatomical structures: Significantly improved efficiency and reliability. Neuroimage 31(3):1116-1128 (Pubitemid 43851334)