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Volumn 71, Issue 4, 2011, Pages 1123-1143

Predicting arterial flow and pressure dynamics using a 1D fluid dynamics model with a viscoelastic wall

Author keywords

1D fluid dynamics model; Finite element analysis; Systemic arteries; Viscoelastic constitutive equation

Indexed keywords

ARTERIAL BLOOD PRESSURE; ARTERIAL FLOW; ARTERIAL WALL; BLOOD FLOW; CREEP FUNCTIONS; CYLINDRICAL VESSELS; ELASTIC RESPONSE; ELASTIC WALLS; FLOW PROFILE; FLUID DOMAIN; FLUID DYNAMICS MODEL; FLUID-STRUCTURES; GENERALIZED VISCOELASTIC MODELS; INCOMPRESSIBLE NEWTONIAN FLOW; LINEAR ELASTIC MODEL; MULTISCALES; NONLINEAR ELASTIC RESPONSE; OUTLET BOUNDARY CONDITION; PRESSURE DYNAMICS; QUASI-LINEAR VISCOELASTICITY; SYSTEMIC ARTERIES; TIME HISTORY; VASCULATURE; VESSEL DEFORMATION; VESSEL JUNCTION; VISCOELASTIC CONSTITUTIVE EQUATION; VISCOELASTIC DEFORMATION; VISCOELASTIC MODELS; WALL MODEL; WINDKESSEL MODELS;

EID: 80052741692     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/100810186     Document Type: Article
Times cited : (25)

References (41)
  • 1
    • 33644981622 scopus 로고    scopus 로고
    • Smart damping modulation of carotid wall energetics in human hypertension: Effects of angiotensin-converting enzyme inhibition
    • DOI 10.1161/01.HYP.0000205915.15940.15, PII 0000426820060300000021
    • R. L. ARMENTANO, J. G. BARRA, D. B. SANTANA, F. M. PESSANA, S. GRAF, D. CRAIEM, L. M. BRANDANI, H. P. BAGLIVO, AND R. A. SANCHEZ, Smart damping modulation of carotid wall energetics in human hypertension: Effects of angiotensin-converting enzyme inhibition, Hypertension, 47(2006), pp. 384-390. (Pubitemid 43740279)
    • (2006) Hypertension , vol.47 , Issue.3 , pp. 384-390
    • Armentano, R.L.1    Barra, J.G.2    Santana, D.B.3    Pessana, F.M.4    Graf, S.5    Craiem, D.6    Brandani, L.M.7    Baglivo, H.P.8    Sanchez, R.A.9
  • 3
    • 34447132809 scopus 로고    scopus 로고
    • A one-dimensional model of blood flow in arteries with friction and convection based on the Womersley velocity profile
    • DOI 10.1007/s10558-007-9031-y
    • K. AZER AND C. S. PESKIN, A one-dimensional model of blood flow in arteries with friction and convection based on the Womersley velocity profile, Cardiovasc. Eng., 7(2007), pp. 51-73. (Pubitemid 47034240)
    • (2007) Cardiovascular Engineering , vol.7 , Issue.2 , pp. 51-73
    • Azer, K.1    Peskin, C.S.2
  • 4
    • 77954169290 scopus 로고    scopus 로고
    • Estimation of the viscoelastic properties of vessel walls using a computational model and doppler ultrasound
    • S. BALOCCO, O. BASSET, G. COURBEBAISSE, E. BONI, A. F. FRANGI, P. TORTOLI, AND C. CACHARD, Estimation of the viscoelastic properties of vessel walls using a computational model and doppler ultrasound, Phys. Med. Biol., 55(2010), pp. 3557-3575.
    • (2010) Phys. Med. Biol. , vol.55 , pp. 3557-3575
    • Balocco, S.1    Basset, O.2    Courbebaisse, G.3    Boni, E.4    Frangi, A.F.5    Tortoli, P.6    Cachard, C.7
  • 5
    • 33745677813 scopus 로고    scopus 로고
    • Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
    • DOI 10.1007/s00466-006-0084-3
    • Y. BAZILEVS, V. M. CALO, Y. ZHANG, AND T. J. R. HUGHES, Isogeometric fluid-structure interaction analysis with applications to arterial blood flow, Comput. Mech., 38(2006), pp. 310-322. (Pubitemid 43970670)
    • (2006) Computational Mechanics , vol.38 , Issue.4-5 , pp. 310-322
    • Bazilevs, Y.1    Calo, V.M.2    Zhang, Y.3    Hughes, T.J.R.4
  • 6
    • 33748442622 scopus 로고    scopus 로고
    • Acoplamiento viscoelástico y funcional entre arterias femorales nativas y homoinjertos arteriales y venosos, frescos y criopreservados
    • DOI 10.1157/13091369
    • D. BIA, Y. ZOCALO, F. PESSANA, R. ARMENTANO, H. PEREZ-CAMPOS, M. SALDIAS, AND I. ALVAREZ, Viscoelastic and functional similarities between native femoral and fresh or cryopreserved arterial and venous homografts, Rev. Esp. Cardiol., 59(2006), pp. 679-687. (Pubitemid 44349817)
    • (2006) Revista Espanola de Cardiologia , vol.59 , Issue.7 , pp. 679-687
    • Bia, D.1    Zocalo, Y.2    Pessana, F.3    Armentano, R.4    Perez, H.5    Cabrera, E.6    Saldias, M.7    Alvarez, I.8
  • 7
    • 0019607241 scopus 로고
    • Streamline upwind Petrov-Galerkin formulation for convection dominated flows with particular emphasis on the incompressible Navier Stokes equations
    • A. N. BROOKS AND T. J. R. HUGHES, Streamline upwind Petrov-Galerkin formulation for convection dominated flows with particular emphasis on the incompressible Navier Stokes equations, Comput. Methods Appl. Mech. Engrg., 32(1982), pp. 199-259.
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.32 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 8
    • 33645959202 scopus 로고    scopus 로고
    • Blood flow in compliant arteries: An effective viscoelastic reduced model, numerics, and experimental validation
    • S. CANIC, C. J. HARTLEY, D. ROSENSTRAUCH, J. TAMBACA, G. GUIDOBONI, AND A. MIKELIC, Blood flow in compliant arteries: An effective viscoelastic reduced model, numerics, and experimental validation, Ann. Biomed. Eng., 34(2006), pp. 575-592.
    • (2006) Ann. Biomed. Eng. , vol.34 , pp. 575-592
    • Canic, S.1    Hartley, C.J.2    Rosenstrauch, D.3    Tambaca, J.4    Guidoboni, G.5    Mikelic, A.6
  • 10
    • 23244467309 scopus 로고    scopus 로고
    • Added-mass effect in the design of partitioned algorithms for fluid-structure problems
    • DOI 10.1016/j.cma.2004.12.005, PII S0045782504005328
    • P. CAUSIN, J. F. GERBEAU, AND F. NOBILE, Added-mass effect in the design of partitioned algorithms for fluid-structure problems, Comput. Methods Appl. Mech. Engrg., 194(2005), pp. 4506-4527. (Pubitemid 41093701)
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , Issue.42-44 , pp. 4506-4527
    • Causin, P.1    Gerbeau, J.F.2    Nobile, F.3
  • 12
    • 65349180299 scopus 로고    scopus 로고
    • Impedance boundary conditions for the pulmonary vasculature including the effects of geometry, compliance, and respiration
    • R. CLIPP AND B. N. STEELE, Impedance boundary conditions for the pulmonary vasculature including the effects of geometry, compliance, and respiration, IEEE Trans. Biomed. Eng., 56(2009), pp. 862-870.
    • (2009) IEEE Trans. Biomed. Eng. , vol.56 , pp. 862-870
    • Clipp, R.1    Steele, B.N.2
  • 15
    • 33846286435 scopus 로고    scopus 로고
    • A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid
    • DOI 10.1002/nme.1792
    • M. A. FERNANDEZ, J. F. GERBEAU, AND C. GRANDMONT, A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid, Internat. J. Numer. Methods Engrg., 69(2007), pp. 794-821. (Pubitemid 46117467)
    • (2007) International Journal for Numerical Methods in Engineering , vol.69 , Issue.4 , pp. 794-821
    • Fernandez, M.A.1    Gerbeau, J.-F.2    Grandmont, C.3
  • 18
    • 18844458168 scopus 로고    scopus 로고
    • Fluid-structure interaction in blood flows on geometries based on medical imaging
    • DOI 10.1016/j.compstruc.2004.03.083
    • J. F. GERBEAU, M. VIDRASCU, AND P. FREY, Fluid-structure interaction in blood flows on geometries based on medical imaging, Comput. Struct., 83(2005), pp. 155-165. (Pubitemid 43066196)
    • (2005) Computers and Structures , vol.83 , Issue.2-3 , pp. 155-165
    • Gerbeau, J.-F.1    Vidrascu, M.2    Frey, P.3
  • 20
    • 0142223926 scopus 로고    scopus 로고
    • A structural model for the viscoelastic behavior of arterial walls: Continuum formulation and finite element simulation
    • G. A. HOLZAPFEL, T. C. GASSER, AND M. STADLER, A structural model for the viscoelastic behavior of arterial walls: Continuum formulation and finite element simulation, Eur. J. Mech. A Solids, 21(2002), pp. 441-463.
    • (2002) Eur. J. Mech. A Solids , vol.21 , pp. 441-463
    • Holzapfel, G.A.1    Gasser, T.C.2    Stadler, M.3
  • 21
    • 0015819837 scopus 로고
    • On the one-dimensional theory of blood flow in the larger vessels
    • T. J. R. HUGHES AND J. LUBLINER, On the one-dimensional theory of blood flow in the larger vessels, Math. Biosci., 18(1973), pp. 161-170.
    • (1973) Math. Biosci. , vol.18 , pp. 161-170
    • Hughes, T.J.R.1    Lubliner, J.2
  • 23
    • 0022807116 scopus 로고
    • New finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems
    • DOI 10.1016/0045-7825(86)90152-0
    • T. J. R. HUGHES AND M. MALLET, A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems, Comput. Methods Appl. Mech. Engrg., 58(1986), pp. 305-328. (Pubitemid 17466105)
    • (1986) Computer Methods in Applied Mechanics and Engineering , vol.58 , Issue.3 , pp. 305-328
    • Hughes Thomas, J.R.1    Mallet Michel2
  • 24
    • 45149144830 scopus 로고
    • A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advectivediffusive equations
    • T. J. R. HUGHES, P. F. LEOPOLDO, AND M. H. GREGORY, A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advectivediffusive equations, Comput. Methods Appl. Mech. Engrg., 73(1982), pp. 173-189.
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.73 , pp. 173-189
    • Hughes, T.J.R.1    Leopoldo, P.F.2    Gregory, M.H.3
  • 25
    • 34447559790 scopus 로고    scopus 로고
    • A hybrid one-dimensional/Womersley model of pulsatile blood flow in the entire coronary arterial tree
    • DOI 10.1152/ajpheart.00987.2006
    • Y. HUO AND G. S. KASSAB, A hybrid one-dimensional/Womersley model of pulsatile blood flow in the entire coronary arterial tree, Amer. J. Physiol., 292(2007), pp. H2623-H2633. (Pubitemid 47084511)
    • (2007) American Journal of Physiology - Heart and Circulatory Physiology , vol.292 , Issue.6
    • Huo, Y.1    Kassab, G.S.2
  • 26
    • 35448940127 scopus 로고    scopus 로고
    • Pulse wave propagation in a model human arterial network: Assessment of 1-D numerical simulations against in vitro measurements
    • DOI 10.1016/j.jbiomech.2007.05.027, PII S0021929007002540
    • K. S. MATTHYS, J. ALASTRUEY, J. PEIR, A. W. KHIR, P. SEGERS, P. R. VERDONCK, K. H. PARKER, AND S. J. SHERWIN, Pulse wave propagation in a model human arterial network: Assessment of 1-D numerical simulations against in vitro measurements, J. Biomech., 40(2007), pp. 3476-3486. (Pubitemid 47632606)
    • (2007) Journal of Biomechanics , vol.40 , Issue.15 , pp. 3476-3486
    • Matthys, K.S.1    Alastruey, J.2    Peiro, J.3    Khir, A.W.4    Segers, P.5    Verdonck, P.R.6    Parker, K.H.7    Sherwin, S.J.8
  • 27
    • 80052718913 scopus 로고
    • Diabetes mellitus, in clinical methods
    • by H. K. Walker, W. Dallas Hall, and J. Willis Hurst, eds., 3rd ed., Butterworths, Boston, MA
    • M. E. MOLITCH, Diabetes Mellitus, in Clinical Methods, The History and Laboratory Examinations by H. K. Walker, W. Dallas Hall, and J. Willis Hurst, eds., 3rd ed., Butterworths, Boston, MA, 1990.
    • (1990) The History and Laboratory Examinations
    • Molitch, M.E.1
  • 29
    • 0034351105 scopus 로고    scopus 로고
    • Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions
    • DOI 10.1114/1.1326031
    • M. S. OLUFSEN, C. S. PESKIN, W. Y. KIM, E. M. PEDERSEN, A. NADIM, AND J. LARSEN, Numerical simulation and experimental validation of blood flow in arteries with structuredtree outflow conditions, Ann. Biomed. Eng., 11(2000), pp. 1281-1299. (Pubitemid 32872598)
    • (2000) Annals of Biomedical Engineering , vol.28 , Issue.11 , pp. 1281-1299
    • Olufsen, M.S.1    Peskin, C.S.2    Kim, W.Y.3    Pedersen, E.M.4    Nadim, A.5    Larsen, J.6
  • 30
    • 33646572993 scopus 로고    scopus 로고
    • Implementation of a viscoelastic constitutive model for solving one-dimensional equations of blood flow using a finite element method
    • R. RAGHU, I. VIGNON-CLEMENTEL, C. FIGUEROA, AND C. A. TAYLOR, Implementation of a viscoelastic constitutive model for solving one-dimensional equations of blood flow using a finite element method, Summer Bioeng. Conf. ASME, 2006, BIO2006-152229.
    • (2006) Summer Bioeng. Conf. ASME
    • Raghu, R.1    Vignon-Clementel, I.2    Figueroa, C.3    Taylor, C.A.4
  • 32
    • 33947377366 scopus 로고    scopus 로고
    • Fractal network model for simulating abdominal and lower extremity blood flow during resting and exercise conditions
    • B. N. STEELE, M. S. OLUFSEN, AND C. A. TAYLOR, Fractal network model for simulating abdominal and lower extremity blood flow during resting and exercise conditions, Comput. Methods Biomech. Biomed. Engrg., 10(2007), pp. 29-51.
    • (2007) Comput. Methods Biomech. Biomed. Engrg. , vol.10 , pp. 29-51
    • Steele, B.N.1    Olufsen, M.S.2    Taylor, C.A.3
  • 33
    • 77953544567 scopus 로고    scopus 로고
    • A fast quadrature-based numerical method for the continuous spectrum biphasic poroviscoelastic model of articular cartilage
    • M. STUEBNER AND M. A. HAIDER, A fast quadrature-based numerical method for the continuous spectrum biphasic poroviscoelastic model of articular cartilage, J. Biomech., 43(2010), pp. 1835-1839.
    • (2010) J. Biomech. , vol.43 , pp. 1835-1839
    • Stuebner, M.1    Haider, M.A.2
  • 34
    • 45849132435 scopus 로고    scopus 로고
    • Arterial fluid mechanics modeling with the stabilized space-time fluid-structure interaction technique
    • T. E. TEZDUYAR, S. SATHE, M. SCHWAAB, AND B. S. CONKLIN, Arterial fluid mechanics modeling with the stabilized space-time fluid-structure interaction technique, Internat. J. Numer. Methods Fluids, 57(2008), pp. 601-629.
    • (2008) Internat. J. Numer. Methods Fluids , vol.57 , pp. 601-629
    • Tezduyar, T.E.1    Sathe, S.2    Schwaab, M.3    Conklin, B.S.4
  • 37
    • 79954449795 scopus 로고    scopus 로고
    • Linear and nonlinear viscoelastic modeling of aorta and carotid pressure-area dynamics under in vivo and ex vivo conditions
    • D. VALDEZ-JASSO, D. BIA, Y. ZOCALO, R. L. ARMENTANO, M. A. HAIDER, AND M. S. OLUFSEN, Linear and nonlinear viscoelastic modeling of aorta and carotid pressure-area dynamics under in vivo and ex vivo conditions, Ann. Biomed. Eng., 39(2011), pp. 1438-1456.
    • (2011) Ann. Biomed. Eng. , vol.39 , pp. 1438-1456
    • Valdez-Jasso, D.1    Bia, D.2    Zocalo, Y.3    Armentano, R.L.4    Haider, M.A.5    Olufsen, M.S.6
  • 39
    • 27744555594 scopus 로고    scopus 로고
    • A patient-specific computational model of fluid-structure interaction in abdominal aortic aneurysms
    • DOI 10.1016/j.medengphy.2005.06.008, PII S1350453305001396, Advances in the Finite Element Modelling of Soft Tissue Deformation
    • B. WOLTERS, M. C. M. RUTTEN, G. W. H. SCHURINK, U. KOSE, J. DE HART, AND F. N. VAN DE VOSSE, A patient specific computational model of fluid-structure interaction in abdominal aortic aneurysms, Med. Eng. Phys., 27(2005), pp. 871-883. (Pubitemid 41608624)
    • (2005) Medical Engineering and Physics , vol.27 , Issue.10 , pp. 871-883
    • Wolters, B.J.B.M.1    Rutten, M.C.M.2    Schurink, G.W.H.3    Kose, U.4    De Hart, J.5    Van De Vosse, F.N.6
  • 40
    • 34249310619 scopus 로고    scopus 로고
    • A rate-insensitive linear viscoelastic model for soft tissues
    • J. ZHAO, J. DAY, Z. F. YUAN, AND H. GREGERSEN, A rate-insensitive linear viscoelastic model for soft tissues, Amer. J. Physiol., 28(2007), pp. 3579-3586.
    • (2007) Amer. J. Physiol. , vol.28 , pp. 3579-3586
    • Zhao, J.1    Day, J.2    Yuan, Z.F.3    Gregersen, H.4
  • 41
    • 79954605237 scopus 로고    scopus 로고
    • Peripheral arterial volume distensibility: Significant differences with age and blood pressure measured using an applied external pressure
    • D. ZHENG AND A. MURRAY, Peripheral arterial volume distensibility: Significant differences with age and blood pressure measured using an applied external pressure, Physiol. Meas., 32(2011), pp. 499-512.
    • (2011) Physiol. Meas. , vol.32 , pp. 499-512
    • Zheng, D.1    Murray, A.2


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