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Volumn 58, Issue 10, 2010, Pages 1661-1680

A generic approach towards finite growth with examples of athlete's heart, cardiac dilation, and cardiac wall thickening

Author keywords

Biological growth; Biological material; Constitutive behavior; Finite elements; Numerical algorithms

Indexed keywords

BI-VENTRICULAR HEARTS; BIOLOGICAL GROWTH; BIOLOGICAL TISSUES; CARDIAC TISSUES; CARDIAC WALL; CLINICAL OBSERVATION; COMPUTATIONAL SOLUTIONS; CONSTITUTIVE BEHAVIORS; DEFORMATION GRADIENTS; FINITE ELEMENT; FINITE ELEMENT SOLUTION; GENERIC APPROACH; IN-CELL; KINEMATIC CHARACTERIZATION; MECHANICAL DRIVING; MORPHOLOGICAL CHANGES; MULTIPLICATIVE DECOMPOSITION; NEWTON-RAPHSON; NUMERICAL ALGORITHMS; PATHOPHYSIOLOGICAL; WALL THICKENING;

EID: 79551683969     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2010.07.003     Document Type: Article
Times cited : (131)

References (66)
  • 1
    • 43549114991 scopus 로고    scopus 로고
    • Modelling adaptative volumetric finite growth in patient-specific residually stressed arteries
    • V. Alastrue, M.A. Martinez, and M. Doblare Modelling adaptative volumetric finite growth in patient-specific residually stressed arteries J. Biomech. 41 2009 1773 1781
    • (2009) J. Biomech. , vol.41 , pp. 1773-1781
    • Alastrue, V.1    Martinez, M.A.2    Doblare, M.3
  • 2
    • 61549134490 scopus 로고    scopus 로고
    • Computational study of growth and remodelling in the aortic arch
    • P.W. Alford, and L.A. Taber Computational study of growth and remodelling in the aortic arch Comput. Meth. Biomech. Biomed. Eng. 11 2008 525 538
    • (2008) Comput. Meth. Biomech. Biomed. Eng. , vol.11 , pp. 525-538
    • Alford, P.W.1    Taber, L.A.2
  • 3
    • 0036644705 scopus 로고    scopus 로고
    • On the mechanics of a growing tumor
    • D. Ambrosi, and F. Mollica On the mechanics of a growing tumor Int. J. Eng. Sci. 40 2002 1297 1316
    • (2002) Int. J. Eng. Sci. , vol.40 , pp. 1297-1316
    • Ambrosi, D.1    Mollica, F.2
  • 6
    • 23844451870 scopus 로고    scopus 로고
    • Growth and instability in elastic tissues
    • M. Ben Amar, and A. Goriely Growth and instability in elastic tissues J. Mech. Phys. Solids 53 2005 2284 2319
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 2284-2319
    • Ben Amar, M.1    Goriely, A.2
  • 9
    • 0042980074 scopus 로고
    • The behavior of bone as a twophase porous structure
    • D.R. Carter, and W.C. Hayes The behavior of bone as a twophase porous structure J. Bone Jt. Surg. 59 1977 785 794
    • (1977) J. Bone Jt. Surg. , vol.59 , pp. 785-794
    • Carter, D.R.1    Hayes, W.C.2
  • 10
    • 0034445464 scopus 로고    scopus 로고
    • Constitutive functions of elastic materials in finite growth and deformation
    • Y.C. Chen, and A. Hoger Constitutive functions of elastic materials in finite growth and deformation J. Elast. 59 2000 175 193
    • (2000) J. Elast. , vol.59 , pp. 175-193
    • Chen, Y.C.1    Hoger, A.2
  • 12
    • 69949102921 scopus 로고    scopus 로고
    • A finite dissipative theory of temporary interfibrillar bridges in the extracellular matrix of ligaments and tendons
    • P. Ciarletta, and M. Ben Amar A finite dissipative theory of temporary interfibrillar bridges in the extracellular matrix of ligaments and tendons J. R. Soc. Interface 6 2009 909 924
    • (2009) J. R. Soc. Interface , vol.6 , pp. 909-924
    • Ciarletta, P.1    Ben Amar, M.2
  • 13
    • 0016974131 scopus 로고
    • Bone remodeling. 1. Theory of adaptive elasticity
    • S.C. Cowin, and D.H. Hegedus Bone remodeling. 1. Theory of adaptive elasticity J. Elast. 6 1976 313 326
    • (1976) J. Elast. , vol.6 , pp. 313-326
    • Cowin, S.C.1    Hegedus, D.H.2
  • 14
    • 4444277314 scopus 로고    scopus 로고
    • Tissue growth and remodeling
    • S.C. Cowin Tissue growth and remodeling Ann. Rev. Biomed. Eng. 6 2004 77 107
    • (2004) Ann. Rev. Biomed. Eng. , vol.6 , pp. 77-107
    • Cowin, S.C.1
  • 15
    • 33646366435 scopus 로고    scopus 로고
    • An anisotropicviscoplastic model of plant cell morphogenesis by tip growth
    • J. Dumais, S.L. Shaw, C.R. Steele, S.R. Long, and P.M. Ray An anisotropicviscoplastic model of plant cell morphogenesis by tip growth Int. J. Dev. Biol. 50 2006 209 222
    • (2006) Int. J. Dev. Biol. , vol.50 , pp. 209-222
    • Dumais, J.1    Shaw, S.L.2    Steele, C.R.3    Long, S.R.4    Ray, P.M.5
  • 17
    • 0033750776 scopus 로고    scopus 로고
    • Thermomechanics of volumetric growth in uniform bodies
    • M. Epstein, and G.A. Maugin Thermomechanics of volumetric growth in uniform bodies Int. J. Plast. 16 2000 951 978
    • (2000) Int. J. Plast. , vol.16 , pp. 951-978
    • Epstein, M.1    Maugin, G.A.2
  • 19
    • 69949188466 scopus 로고    scopus 로고
    • A computational framework for fluidsolid-growth modeling in cardiovascular simulations
    • C.A. Figueroa, S. Baek, C.A. Taylor, and J.D. Humphrey A computational framework for fluidsolid-growth modeling in cardiovascular simulations Comput. Meth. Appl. Mech. Eng. 198 2009 3583 3602
    • (2009) Comput. Meth. Appl. Mech. Eng. , vol.198 , pp. 3583-3602
    • Figueroa, C.A.1    Baek, S.2    Taylor, C.A.3    Humphrey, J.D.4
  • 20
    • 64849083165 scopus 로고    scopus 로고
    • Endurance training in the spontaneously hypertensive rat: Conversion of pathological into physiological cardiac hypertrophy
    • C.D. Garciarena, O.A. Pinilla, M.B. Nolly, R.P. Laguens, E.M. Escudero, H.E. Cingolani, and I.L. Ennis Endurance training in the spontaneously hypertensive rat: conversion of pathological into physiological cardiac hypertrophy Hypertension 53 2009 708 714
    • (2009) Hypertension , vol.53 , pp. 708-714
    • Garciarena, C.D.1    Pinilla, O.A.2    Nolly, M.B.3    Laguens, R.P.4    Escudero, E.M.5    Cingolani, H.E.6    Ennis, I.L.7
  • 21
    • 2442623475 scopus 로고    scopus 로고
    • A continuum treatment of growth in biological tissue: The coupling of mass transport and mechanics
    • K. Garikipati, E.M. Arruda, K. Grosh, H. Narayanan, and S. Calve A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics J. Mech. Phys. Solids 52 2004 1595 1625
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 1595-1625
    • Garikipati, K.1    Arruda, E.M.2    Grosh, K.3    Narayanan, H.4    Calve, S.5
  • 22
    • 77954622174 scopus 로고    scopus 로고
    • The kinematics of biological growth
    • K. Garikipati The kinematics of biological growth Appl. Mech. Rev. 62 2009 030801-1 030801-7
    • (2009) Appl. Mech. Rev. , vol.62 , pp. 0308011-0308017
    • Garikipati, K.1
  • 23
    • 68549110231 scopus 로고    scopus 로고
    • Computational modeling of cardiac electrophysiology: A novel finite element approach
    • S. Gktepe, and E. Kuhl Computational modeling of cardiac electrophysiology: a novel finite element approach Int. J. Numer. Meth. Eng. 79 2009 156 178
    • (2009) Int. J. Numer. Meth. Eng. , vol.79 , pp. 156-178
    • Gktepe, S.1    Kuhl, E.2
  • 24
    • 71449123047 scopus 로고    scopus 로고
    • Electromechanics of cardiac tissue: A unified approach to the fully coupled excitationcontraction problem
    • S. Gktepe, and E. Kuhl Electromechanics of cardiac tissue: a unified approach to the fully coupled excitationcontraction problem Comput. Mech. 45 2010 227 243
    • (2010) Comput. Mech. , vol.45 , pp. 227-243
    • Gktepe, S.1    Kuhl, E.2
  • 25
    • 77954624210 scopus 로고    scopus 로고
    • A multiscale model for eccentric and concentric cardiac growth through sarcomerogenesis
    • Gktepe, S., Abilez, O.J., Parker, K.K., Kuhl, E., 2010a. A multiscale model for eccentric and concentric cardiac growth through sarcomerogenesis. J. Theor. Biol. 265, 433442.
    • (2010) J. Theor. Biol. , vol.265 , pp. 433-442
    • Göktepe, S.1
  • 26
    • 77956522627 scopus 로고    scopus 로고
    • Computational modeling of passive myocardium
    • doi: 10.1002/cnm.1402
    • Gktepe, S., Acharya, S.N.S., Wong, J., Kuhl, E., 2010b. Computational modeling of passive myocardium. Int. J. Numer. Meth. Biomed. Eng., doi: 10.1002/cnm.1402.
    • (2010) Int. J. Numer. Meth. Biomed. Eng.
    • Göktepe, S.1
  • 27
    • 77954622930 scopus 로고    scopus 로고
    • Anterior mitral leaflet curvature in the beating ovine heart: A case study using video fluoroscopic markers and subdivision surfaces
    • S. Gktepe, W. Bothe, J.P. Kvitting, J.C. Swanson, N.B. Ingels, D.C. Miller, and E. Kuhl Anterior mitral leaflet curvature in the beating ovine heart: a case study using video fluoroscopic markers and subdivision surfaces Biomech. Model. Mechanobiol. 9 2010 281 293
    • (2010) Biomech. Model. Mechanobiol. , vol.9 , pp. 281-293
    • Gktepe, S.1    Bothe, W.2    Kvitting, J.P.3    Swanson, J.C.4    Ingels, N.B.5    Miller, D.C.6    Kuhl, E.7
  • 28
    • 34548275602 scopus 로고    scopus 로고
    • On the definition and modeling of incremental, cumulative, and continuous growth laws in morphoelasticity
    • A. Goriely, and M. Ben Amar On the definition and modeling of incremental, cumulative, and continuous growth laws in morphoelasticity Biomech. Model. Mechanobiol. 6 2007 289 296
    • (2007) Biomech. Model. Mechanobiol. , vol.6 , pp. 289-296
    • Goriely, A.1    Ben Amar, M.2
  • 30
    • 40349100718 scopus 로고    scopus 로고
    • Time-dependent fibre reorientation of transversely isotropic continuafinite element formulation and consistent linearization
    • G. Himpel, A. Menzel, E. Kuhl, and P. Steinmann Time-dependent fibre reorientation of transversely isotropic continuafinite element formulation and consistent linearization Int. J. Numer. Meth. Eng. 73 2008 1413 1433
    • (2008) Int. J. Numer. Meth. Eng. , vol.73 , pp. 1413-1433
    • Himpel, G.1    Menzel, A.2    Kuhl, E.3    Steinmann, P.4
  • 31
    • 69649106670 scopus 로고    scopus 로고
    • Constitutive modelling of passive myocardium. A structurally-based framework for material characterization
    • G.A. Holzapfel, and R.W. Ogden Constitutive modelling of passive myocardium. A structurally-based framework for material characterization Philos. Trans. R. Soc. London A 367 2009 3445 3475
    • (2009) Philos. Trans. R. Soc. London A , vol.367 , pp. 3445-3475
    • Holzapfel, G.A.1    Ogden, R.W.2
  • 32
    • 0001468579 scopus 로고
    • The influence of mechanical loads on the form of a growing elastic body
    • H.F. Hsu The influence of mechanical loads on the form of a growing elastic body J. Biomech. 1 1968 303 311
    • (1968) J. Biomech. , vol.1 , pp. 303-311
    • Hsu, H.F.1
  • 34
    • 0036013702 scopus 로고    scopus 로고
    • A constrained mixture model for growth and remodeling of soft tissues
    • J.D. Humphrey, and K.R. Rajagopal A constrained mixture model for growth and remodeling of soft tissues Math. Mod. Meth. Appl. Sci. 12 2002 407 430
    • (2002) Math. Mod. Meth. Appl. Sci. , vol.12 , pp. 407-430
    • Humphrey, J.D.1    Rajagopal, K.R.2
  • 35
    • 39149116773 scopus 로고    scopus 로고
    • Vascular adaptation and mechanical homeostasis at tissue, cellular, and sub-cellular levels
    • J.D. Humphrey Vascular adaptation and mechanical homeostasis at tissue, cellular, and sub-cellular levels Cell. Biochem. Biophys. 50 2008 53 78
    • (2008) Cell. Biochem. Biophys. , vol.50 , pp. 53-78
    • Humphrey, J.D.1
  • 36
    • 0033592754 scopus 로고    scopus 로고
    • Signaling pathways for cardiac hypertrophy and failure
    • J.J. Hunter, and K.R. Chien Signaling pathways for cardiac hypertrophy and failure New England J. Med. 341 1999 1276 1283
    • (1999) New England J. Med. , vol.341 , pp. 1276-1283
    • Hunter, J.J.1    Chien, K.R.2
  • 37
    • 0036859693 scopus 로고    scopus 로고
    • A constitutive model for material growth and its application to three-dimensional analysis
    • S. Imatani, and G.A. Maugin A constitutive model for material growth and its application to three-dimensional analysis Mech. Res. Commun. 29 2002 477 483
    • (2002) Mech. Res. Commun. , vol.29 , pp. 477-483
    • Imatani, S.1    Maugin, G.A.2
  • 38
    • 0037398739 scopus 로고    scopus 로고
    • A growth mixture theory for cartilage with application to growth-related experiments on cartilage explants
    • S.M. Klisch, S.S. Chen, and A. Hoger A growth mixture theory for cartilage with application to growth-related experiments on cartilage explants J. Biomech. Eng. 125 2003 169 179
    • (2003) J. Biomech. Eng. , vol.125 , pp. 169-179
    • Klisch, S.M.1    Chen, S.S.2    Hoger, A.3
  • 39
    • 77953104453 scopus 로고    scopus 로고
    • Computational modeling of electrocardiogramsa finite element approach towards cardiac excitation
    • M. Kotikanyadanam, S. Gktepe, and E. Kuhl Computational modeling of electrocardiogramsa finite element approach towards cardiac excitation Commun. Numer. Meth. Eng. 26 2010 524 533
    • (2010) Commun. Numer. Meth. Eng. , vol.26 , pp. 524-533
    • Kotikanyadanam, M.1    Gktepe, S.2    Kuhl, E.3
  • 40
    • 68549135148 scopus 로고    scopus 로고
    • Computational modeling of volumetric soft tissue growth: Application to the cardiac left ventricle
    • W. Kroon, T. Delhaas, T. Arts, and P. Bovendeerd Computational modeling of volumetric soft tissue growth: application to the cardiac left ventricle Biomech. Model. Mechanobiol. 8 2009 309 310
    • (2009) Biomech. Model. Mechanobiol. , vol.8 , pp. 309-310
    • Kroon, W.1    Delhaas, T.2    Arts, T.3    Bovendeerd, P.4
  • 41
    • 1542722163 scopus 로고    scopus 로고
    • Mass- and volume specific views on thermodynamics for open systems
    • E. Kuhl, and P. Steinmann Mass- and volume specific views on thermodynamics for open systems Proc. Royal Soc. 459 2003 2547 2568
    • (2003) Proc. Royal Soc. , vol.459 , pp. 2547-2568
    • Kuhl, E.1    Steinmann, P.2
  • 42
    • 0037301832 scopus 로고    scopus 로고
    • On spatial and material settings of thermohyperelastodynamics for open systems
    • E. Kuhl, and P. Steinmann On spatial and material settings of thermohyperelastodynamics for open systems Acta Mech. 160 2003 179 217
    • (2003) Acta Mech. , vol.160 , pp. 179-217
    • Kuhl, E.1    Steinmann, P.2
  • 43
    • 0242406037 scopus 로고    scopus 로고
    • Computational modeling of growtha critical review, a classification of concepts and two new consistent approaches
    • E. Kuhl, A. Menzel, and P. Steinmann Computational modeling of growtha critical review, a classification of concepts and two new consistent approaches Comp. Mech. 32 2003 71 88
    • (2003) Comp. Mech. , vol.32 , pp. 71-88
    • Kuhl, E.1    Menzel, A.2    Steinmann, P.3
  • 44
    • 0344440909 scopus 로고    scopus 로고
    • Theory and numerics of geometrically non-linear open system mechanics
    • E. Kuhl, and P. Steinmann Theory and numerics of geometrically non-linear open system mechanics Int. J. Numer. Meth. Eng. 58 2003 1593 1615
    • (2003) Int. J. Numer. Meth. Eng. , vol.58 , pp. 1593-1615
    • Kuhl, E.1    Steinmann, P.2
  • 45
    • 18444404646 scopus 로고    scopus 로고
    • Remodeling of biological tissue: Mechanically induced reorientation of a transversely isotropic chain network
    • E. Kuhl, K. Garikipati, E.M. Arruda, and K. Grosh Remodeling of biological tissue: mechanically induced reorientation of a transversely isotropic chain network J. Mech. Phys. Solids 53 2005 1552 1573
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 1552-1573
    • Kuhl, E.1    Garikipati, K.2    Arruda, E.M.3    Grosh, K.4
  • 46
    • 34548252525 scopus 로고    scopus 로고
    • Computational modeling of arterial wall growth: Attempts towards patient-specific simulations based on computer tomography
    • E. Kuhl, R. Maas, G. Himpel, and A. Menzel Computational modeling of arterial wall growth: attempts towards patient-specific simulations based on computer tomography Biomech. Mod. Mechanobiol. 6 2007 321 331
    • (2007) Biomech. Mod. Mechanobiol. , vol.6 , pp. 321-331
    • Kuhl, E.1    Maas, R.2    Himpel, G.3    Menzel, A.4
  • 47
    • 34548389361 scopus 로고    scopus 로고
    • A continuum model for remodeling in living structures
    • E. Kuhl, and G.A. Holzapfel A continuum model for remodeling in living structures J. Mat. Sci. 2 2007 8811 8823
    • (2007) J. Mat. Sci. , vol.2 , pp. 8811-8823
    • Kuhl, E.1    Holzapfel, G.A.2
  • 49
    • 85024545548 scopus 로고
    • Elastic-plastic deformation at finite strains
    • E.H. Lee Elastic-plastic deformation at finite strains J. Appl. Mech. 36 1969 1 6
    • (1969) J. Appl. Mech. , vol.36 , pp. 1-6
    • Lee, E.H.1
  • 51
    • 0036737932 scopus 로고    scopus 로고
    • On the mechanics of solids with a growing mass
    • A. Lubarda, and A. Hoger On the mechanics of solids with a growing mass Int. J. Solids Structures 39 2002 4627 4664
    • (2002) Int. J. Solids Structures , vol.39 , pp. 4627-4664
    • Lubarda, A.1    Hoger, A.2
  • 52
    • 0242522154 scopus 로고    scopus 로고
    • American College of Cardiology/European Society of Cardiology: Clinical expert consensus document on hypertrophy cardiomyopathy
    • B.J. Maron, and W.J. McKenna American College of Cardiology/European Society of Cardiology: clinical expert consensus document on hypertrophy cardiomyopathy J. Am. College Cardiology 42 2003 1687 1713
    • (2003) J. Am. College Cardiology , vol.42 , pp. 1687-1713
    • Maron, B.J.1    McKenna, W.J.2
  • 53
    • 33749637506 scopus 로고    scopus 로고
    • The heart of trained athletes: Cardiac remodeling and the risks of sports, including sudden death
    • B.J. Maron, and A. Pelliccia The heart of trained athletes: cardiac remodeling and the risks of sports, including sudden death Circ. 114 2006 1633 1644
    • (2006) Circ. , vol.114 , pp. 1633-1644
    • Maron, B.J.1    Pelliccia, A.2
  • 54
    • 16244380844 scopus 로고    scopus 로고
    • Modelling of anisotropic growth in biological tissuesa new approach and computational aspects
    • A. Menzel Modelling of anisotropic growth in biological tissuesa new approach and computational aspects Biomech. Model. Mechanobiol. 3 2005 147 171
    • (2005) Biomech. Model. Mechanobiol. , vol.3 , pp. 147-171
    • Menzel, A.1
  • 55
    • 42449090571 scopus 로고    scopus 로고
    • Cardiac remodelling: Concentric versus eccentric hypertrophy in strength and endurance athletes
    • C. Mihl, W.R.M. Dassen, and H. Kuipers Cardiac remodelling: concentric versus eccentric hypertrophy in strength and endurance athletes Nederlands Heart J. 16 2008 129 133
    • (2008) Nederlands Heart J. , vol.16 , pp. 129-133
    • Mihl, C.1    Dassen, W.R.M.2    Kuipers, H.3
  • 56
    • 34249963313 scopus 로고
    • A critical review of the state of finite plasticity
    • P. Naghdi A critical review of the state of finite plasticity J. Appl. Math. Phys. 41 1990 315 394
    • (1990) J. Appl. Math. Phys. , vol.41 , pp. 315-394
    • Naghdi, P.1
  • 59
    • 0028419679 scopus 로고
    • Stress-dependent finite growth in soft elastic tissues
    • E.K. Rodriguez, A. Hoger, and A.D. McCulloch Stress-dependent finite growth in soft elastic tissues J. Biomech. 27 1994 455 467
    • (1994) J. Biomech. , vol.27 , pp. 455-467
    • Rodriguez, E.K.1    Hoger, A.2    McCulloch, A.D.3
  • 60
    • 77949358911 scopus 로고    scopus 로고
    • Defining the limits of athlete's heart: Implications for screening in diverse populations
    • D. Sedehi, and E.A. Ashley Defining the limits of athlete's heart: implications for screening in diverse populations Circulation 121 2010 1066 1068
    • (2010) Circulation , vol.121 , pp. 1066-1068
    • Sedehi, D.1    Ashley, E.A.2
  • 61
    • 0001773156 scopus 로고
    • Growth as a finite displacement field
    • Carlson, D.E., Shield, R.T., (Eds.) Martinus Nijhoff
    • Skalak, R., 1981. Growth as a finite displacement field. In: Carlson, D.E., Shield, R.T., (Eds.), IUTAM Symposium on Finite Elasticity. Martinus Nijhoff, pp. 347355.
    • (1981) IUTAM Symposium on Finite Elasticity , pp. 347-355
    • Skalak, R.1
  • 63
    • 85015553125 scopus 로고
    • Biomechanics of growth, remodeling and morphogenesis
    • L.A. Taber Biomechanics of growth, remodeling and morphogenesis Appl. Mech. Rev. 48 1995 487 545
    • (1995) Appl. Mech. Rev. , vol.48 , pp. 487-545
    • Taber, L.A.1
  • 64
    • 0035668366 scopus 로고    scopus 로고
    • Stress-modulated growth, residual stress, and vascular heterogeneity
    • L.A. Taber, and J.D. Humphrey Stress-modulated growth, residual stress, and vascular heterogeneity J. Biomech. Eng. 123 2001 528 535
    • (2001) J. Biomech. Eng. , vol.123 , pp. 528-535
    • Taber, L.A.1    Humphrey, J.D.2
  • 66
    • 33645681845 scopus 로고    scopus 로고
    • Elastoplasticity beyond small deformations
    • H. Xiao, O.T. Bruhns, and A. Meyers Elastoplasticity beyond small deformations Acta. Mech. 182 2006 31 111
    • (2006) Acta. Mech. , vol.182 , pp. 31-111
    • Xiao, H.1    Bruhns, O.T.2    Meyers, A.3


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