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Volumn 256, Issue , 2013, Pages 200-210

An efficient framework for optimization and parameter sensitivity analysis in arterial growth and remodeling computations

Author keywords

Derivative free methods; Growth and remodeling; Parameter sensitivity; Stochastic collocation

Indexed keywords

ACCURATE PREDICTION; ARTERIAL GROWTH; ARTERIAL WALL; BRUTE-FORCE APPROACH; COLLOCATION APPROACHES; COMPUTATIONAL MODEL; DERIVATIVE-FREE METHODS; DERIVATIVE-FREE OPTIMIZATION; DISEASE PROCESS; LOADING CONDITION; MATERIAL PARAMETER; MATERIAL PROPERTY; MEAN VALUES; MECHANICAL LOADING; MODEL PARAMETERS; MONTE CARLO; NON-INTRUSIVE; OBJECTIVE FUNCTIONS; OPTIMAL PARAMETER SELECTION; PARAMETER SENSITIVITIES; REALISTIC VARIABILITY; ROBUST OPTIMIZATION; SAMPLING ALGORITHM; SPARSE GRID; STOCHASTIC COLLOCATION; SYSTEMATIC UNCERTAINTIES; UNCERTAINTY QUANTIFICATIONS; WALL SHEAR STRESS;

EID: 84873139028     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2012.12.013     Document Type: Article
Times cited : (30)

References (37)
  • 1
    • 39149116773 scopus 로고    scopus 로고
    • Vascular adaptation and mechanical homeostasis at tissue, cellular and sub-cellular levels
    • Humphrey J.D. Vascular adaptation and mechanical homeostasis at tissue, cellular and sub-cellular levels. Cell Biochem. Biophys. 2008, 50:53-78.
    • (2008) Cell Biochem. Biophys. , vol.50 , pp. 53-78
    • Humphrey, J.D.1
  • 2
    • 69949188466 scopus 로고    scopus 로고
    • A computational framework for fluid-solid-growth modeling in cardiovascular simulations
    • Figueroa C.A., Baek S., Taylor C.A., Humphrey J.D. A computational framework for fluid-solid-growth modeling in cardiovascular simulations. Comput. Methods Appl. Mech. Engrg. 2008, 198:3583-3602.
    • (2008) Comput. Methods Appl. Mech. Engrg. , vol.198 , pp. 3583-3602
    • Figueroa, C.A.1    Baek, S.2    Taylor, C.A.3    Humphrey, J.D.4
  • 3
    • 0036013702 scopus 로고    scopus 로고
    • A constrained mixture model for growth and remodeling of soft tissues
    • Humphrey J.D., Rajagopal K. A constrained mixture model for growth and remodeling of soft tissues. Math. Mod. Meth. Appl. Sci. 2002, 12(3):407-430.
    • (2002) Math. Mod. Meth. Appl. Sci. , vol.12 , Issue.3 , pp. 407-430
    • Humphrey, J.D.1    Rajagopal, K.2
  • 5
    • 0032103919 scopus 로고    scopus 로고
    • A model for aortic growth based on fluid shear and fiber stresses
    • Taber L.A. A model for aortic growth based on fluid shear and fiber stresses. J. Biomech. Eng. 1998, 120:348-354.
    • (1998) J. Biomech. Eng. , vol.120 , pp. 348-354
    • Taber, L.A.1
  • 6
    • 0023936280 scopus 로고
    • Interaction of stress and growth in a fibrous tissue
    • Tozeren A., Skalak R. Interaction of stress and growth in a fibrous tissue. J. Theor. Biol. 1988, 130(3):337-350.
    • (1988) J. Theor. Biol. , vol.130 , Issue.3 , pp. 337-350
    • Tozeren, A.1    Skalak, R.2
  • 7
    • 0034435085 scopus 로고    scopus 로고
    • A model of arterial adaptation to alterations in blood flow
    • Rachev A. A model of arterial adaptation to alterations in blood flow. J. Elasticity 2000, 61(1-3):83-111.
    • (2000) J. Elasticity , vol.61 , Issue.1-3 , pp. 83-111
    • Rachev, A.1
  • 8
    • 0028419679 scopus 로고
    • Stress-dependent finite growth in soft elastic tissues
    • Rodriguez E.K., Hoger A., McCulloch A.D. Stress-dependent finite growth in soft elastic tissues. J. Biomech. 1994, 27(4):455-467.
    • (1994) J. Biomech. , vol.27 , Issue.4 , pp. 455-467
    • Rodriguez, E.K.1    Hoger, A.2    McCulloch, A.D.3
  • 9
    • 13944256955 scopus 로고    scopus 로고
    • A mathematical model for the growth of the abdominal aortic aneurysm
    • Watton P.N., Hill N.A., Heil M. A mathematical model for the growth of the abdominal aortic aneurysm. Biomech. Model. Mechanobiol. 2004, 3:98-113.
    • (2004) Biomech. Model. Mechanobiol. , vol.3 , pp. 98-113
    • Watton, P.N.1    Hill, N.A.2    Heil, M.3
  • 10
    • 34447526207 scopus 로고    scopus 로고
    • A model for saccular cerebral aneurysm growth by collagen fiber remodeling
    • Kroon M., Holzapfel G.A. A model for saccular cerebral aneurysm growth by collagen fiber remodeling. J. Theor. Biol. 2007, 247:775-787.
    • (2007) J. Theor. Biol. , vol.247 , pp. 775-787
    • Kroon, M.1    Holzapfel, G.A.2
  • 11
    • 69649089527 scopus 로고    scopus 로고
    • Evaluation of fundamental hypotheses underlying constrained mixture models of arterial growth and remodeling
    • Valentin A., Humphrey J.D. Evaluation of fundamental hypotheses underlying constrained mixture models of arterial growth and remodeling. Phil. Trans. R.Soc. A 2009, 367:3585-3606.
    • (2009) Phil. Trans. R.Soc. A , vol.367 , pp. 3585-3606
    • Valentin, A.1    Humphrey, J.D.2
  • 12
    • 64549092442 scopus 로고    scopus 로고
    • Complementary vasoactivity and matrix remodeling in arterial adaptations to altered flow and pressure
    • Valentin A., Cardamone L., Baek S., Humphrey J.D. Complementary vasoactivity and matrix remodeling in arterial adaptations to altered flow and pressure. J. R. Soc. Interface 2009, 6(32):293-306.
    • (2009) J. R. Soc. Interface , vol.6 , Issue.32 , pp. 293-306
    • Valentin, A.1    Cardamone, L.2    Baek, S.3    Humphrey, J.D.4
  • 13
    • 69849096150 scopus 로고    scopus 로고
    • Parameter sensitivity study of a constrained mixture model of arterial growth and remodeling
    • Valentin A., Humphrey J.D. Parameter sensitivity study of a constrained mixture model of arterial growth and remodeling. J. Biomech. Eng. 2009, 131:101006-1-101006-11.
    • (2009) J. Biomech. Eng. , vol.131 , pp. 1010061-10100611
    • Valentin, A.1    Humphrey, J.D.2
  • 14
    • 63649131723 scopus 로고    scopus 로고
    • Stochastic optimization using a sparse-grid collocation scheme
    • Sankaran S. Stochastic optimization using a sparse-grid collocation scheme. Probabilist. Eng. Mech. 2009, 24(3):382-396.
    • (2009) Probabilist. Eng. Mech. , vol.24 , Issue.3 , pp. 382-396
    • Sankaran, S.1
  • 15
    • 79551619583 scopus 로고    scopus 로고
    • A stochastic collocation method for uncertainty quantification and propagation in cardiovascular simulations
    • 1
    • Sankaran S., Marsden A.L. A stochastic collocation method for uncertainty quantification and propagation in cardiovascular simulations. J. Biomech. Eng. 2011, 133:031001. 1.
    • (2011) J. Biomech. Eng. , vol.133 , pp. 031001
    • Sankaran, S.1    Marsden, A.L.2
  • 16
    • 33646577797 scopus 로고    scopus 로고
    • High order collocation methods for the differential equation with random inputs
    • Xiu D., Hesthaven J.S. High order collocation methods for the differential equation with random inputs. J. Sci. Comput. 2005, 27:1118-1139.
    • (2005) J. Sci. Comput. , vol.27 , pp. 1118-1139
    • Xiu, D.1    Hesthaven, J.S.2
  • 17
    • 33750265086 scopus 로고    scopus 로고
    • Mesh adaptive direct search algorithms for constrained optimization
    • Audet C., Dennis J.E. Mesh adaptive direct search algorithms for constrained optimization. SIAM J. Optim. 2006, 17(1):2-11.
    • (2006) SIAM J. Optim. , vol.17 , Issue.1 , pp. 2-11
    • Audet, C.1    Dennis, J.E.2
  • 18
    • 40249118214 scopus 로고    scopus 로고
    • A computational framework for derivative-free optimization of cardiovascular geometries
    • Marsden A.L., Feinstein J.A., Taylor C.A. A computational framework for derivative-free optimization of cardiovascular geometries. Comput. Methods Appl. Mech. Engrg. 2008, 197(21-24):1890-1905.
    • (2008) Comput. Methods Appl. Mech. Engrg. , vol.197 , Issue.21-24 , pp. 1890-1905
    • Marsden, A.L.1    Feinstein, J.A.2    Taylor, C.A.3
  • 19
    • 77953616515 scopus 로고    scopus 로고
    • Constrained optimization of an idealized y-shaped baffle for the Fontan surgery at rest and exercise
    • Yang W., Feinstein J.A., Marsden A. Constrained optimization of an idealized y-shaped baffle for the Fontan surgery at rest and exercise. Comput. Methods Appl. Mech. Engrg. 2010, 199(33-36):2135-2149.
    • (2010) Comput. Methods Appl. Mech. Engrg. , vol.199 , Issue.33-36 , pp. 2135-2149
    • Yang, W.1    Feinstein, J.A.2    Marsden, A.3
  • 20
    • 79251550467 scopus 로고    scopus 로고
    • The impact of uncertainty on shape optimization of idealized bypass graft models in unsteady flow
    • Sankaran S., Marsden A.L. The impact of uncertainty on shape optimization of idealized bypass graft models in unsteady flow. Phys. Fluids 2010, 22:121902.
    • (2010) Phys. Fluids , vol.22 , pp. 121902
    • Sankaran, S.1    Marsden, A.L.2
  • 21
    • 77951532031 scopus 로고    scopus 로고
    • A method for stochastic constrained optimization using derivative-free surrogate pattern search and collocation
    • Sankaran S., Audet C., Marsden A.L. A method for stochastic constrained optimization using derivative-free surrogate pattern search and collocation. J. Comput. Phys. 2010, 229(12):4664-4682.
    • (2010) J. Comput. Phys. , vol.229 , Issue.12 , pp. 4664-4682
    • Sankaran, S.1    Audet, C.2    Marsden, A.L.3
  • 22
    • 0037184252 scopus 로고    scopus 로고
    • Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
    • Xiu D., Karniadakis G.E. Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos. Comput. Methods Appl. Mech. Engrg. 2002, 191:4927-4948.
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 4927-4948
    • Xiu, D.1    Karniadakis, G.E.2
  • 23
    • 84873134827 scopus 로고    scopus 로고
    • A stochastic collocation method for elliptic partial differential equations with random input data, ICES report
    • I. Babuska, F. Nobile, and R. Tempone, A stochastic collocation method for elliptic partial differential equations with random input data, ICES report, pp. 05-47, 2005.
    • (2005) , pp. 05-47
    • Babuska, I.1    Nobile, F.2    Tempone, R.3
  • 25
    • 63449137570 scopus 로고    scopus 로고
    • Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics
    • Najm H.N. Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics. Annu. Rev. Fluid Mech. 2009, 41:35-52.
    • (2009) Annu. Rev. Fluid Mech. , vol.41 , pp. 35-52
    • Najm, H.N.1
  • 26
    • 0242440688 scopus 로고    scopus 로고
    • Numerical integration using sparse grids
    • Gerstner T., Griebel M. Numerical integration using sparse grids. Numer. Algorithms 1998, 18(3):209-232.
    • (1998) Numer. Algorithms , vol.18 , Issue.3 , pp. 209-232
    • Gerstner, T.1    Griebel, M.2
  • 28
    • 84873127071 scopus 로고    scopus 로고
    • Uncertainty modeling using fuzzy arithmetic and sparse grids, PhD Thesis, Universitt Stuttgart, Shaker Verlag, Aachen
    • A. Klimke, Uncertainty modeling using fuzzy arithmetic and sparse grids, PhD Thesis, Universitt Stuttgart, Shaker Verlag, Aachen, 2006.
    • (2006)
    • Klimke, A.1
  • 29
    • 84855635304 scopus 로고    scopus 로고
    • Recent advances in non-intrusive polynomial chaos and stochastic collocation methods for uncertainty analysis and design
    • Eldred M.S. Recent advances in non-intrusive polynomial chaos and stochastic collocation methods for uncertainty analysis and design. AIAA 2009, 2009-2274:1-37.
    • (2009) AIAA , pp. 1-37
    • Eldred, M.S.1
  • 30
    • 7244230335 scopus 로고    scopus 로고
    • Optimal aeroacoustic shape design using the surrogate management framework
    • Marsden A.L., Wang M., Dennis J.E., Moin P. Optimal aeroacoustic shape design using the surrogate management framework. Optim. Eng. 2004, 5(2):235-262.
    • (2004) Optim. Eng. , vol.5 , Issue.2 , pp. 235-262
    • Marsden, A.L.1    Wang, M.2    Dennis, J.E.3    Moin, P.4
  • 33
    • 84873183813 scopus 로고    scopus 로고
    • http://www.imm.dtu.dk/hbni/dace/.
  • 35
    • 70450216951 scopus 로고    scopus 로고
    • A progressive barrier approach to derivative-free nonlinear programming
    • Audet C., Dennis J.E. A progressive barrier approach to derivative-free nonlinear programming. SIAM J. Optim. 2009, 20(1):445-472.
    • (2009) SIAM J. Optim. , vol.20 , Issue.1 , pp. 445-472
    • Audet, C.1    Dennis, J.E.2
  • 36
    • 84992411064 scopus 로고    scopus 로고
    • Differential passive and active biaxial mechanical behaviors of muscular and elastic arteries: basilar versus common carotid
    • Wagner H.P., Humphrey J.D. Differential passive and active biaxial mechanical behaviors of muscular and elastic arteries: basilar versus common carotid. J. Biomech. Eng. 2011, 133:051009-01-051009-10.
    • (2011) J. Biomech. Eng. , vol.133 , pp. 05100901-05100910
    • Wagner, H.P.1    Humphrey, J.D.2


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