메뉴 건너뛰기




Volumn 28, Issue 6-7, 2012, Pages 761-788

Orthotropic active strain models for the numerical simulation of cardiac biomechanics

Author keywords

Active strain formulation; Cardiac mechanics; Finite element discretization; Nonlinear incompressible elasticity

Indexed keywords

ACTIVATION MODELS; ACTIVE DEFORMATION; ACTIVE PARTS; ACTIVE STRESS; CARDIAC MECHANICS; CARDIAC TISSUES; CARDIOMYOCYTES; CELL LEVELS; COMPUTATIONAL COSTS; CONSTITUTIVE LAW; DEFORMATION GRADIENTS; DISCRETIZATIONS; EULER-LAGRANGE EQUATIONS; FINITE ELEMENT; FINITE-ELEMENT DISCRETIZATION; INTERMEDIATE CONFIGURATION; MECHANICAL ACTIVATION; MECHANICAL PROBLEMS; MULTIPLICATIVE DECOMPOSITION; NEWTON ITERATIONS; NONLINEAR INCOMPRESSIBLE ELASTICITY; NUMERICAL EXPERIMENTS; SPECIFIC ORIENTATION; STRAIN FORMULATION; STRAIN MODEL; TOTAL ENERGY; WELLPOSEDNESS;

EID: 84862313178     PISSN: 20407939     EISSN: 20407947     Source Type: Journal    
DOI: 10.1002/cnm.2473     Document Type: Article
Times cited : (83)

References (50)
  • 3
    • 0021998409 scopus 로고
    • Transmural myocardial deformation in the canine left ventricle: normal in vivo three-dimensional finite strains
    • Waldman LK, Fung YC, Convell JW. Transmural myocardial deformation in the canine left ventricle: normal in vivo three-dimensional finite strains. Circulatory Research 1985; 57:152-163.
    • (1985) Circulatory Research , vol.57 , pp. 152-163
    • Waldman, L.K.1    Fung, Y.C.2    Convell, J.W.3
  • 4
    • 0034435086 scopus 로고    scopus 로고
    • Computational mechanics of the heart
    • Nash MP, Hunter PJ. Computational mechanics of the heart. Journal of Elasticity 2000; 61:113-141.
    • (2000) Journal of Elasticity , vol.61 , pp. 113-141
    • Nash, M.P.1    Hunter, P.J.2
  • 5
    • 0034434592 scopus 로고    scopus 로고
    • Effect of laminar orthotropic myofiber architecture on regional stress and strain in the canine left ventricle
    • Usyk T, Mazhari R, McCulloch AD. Effect of laminar orthotropic myofiber architecture on regional stress and strain in the canine left ventricle. Journal of Elasticity 2000; 61:143-164.
    • (2000) Journal of Elasticity , vol.61 , pp. 143-164
    • Usyk, T.1    Mazhari, R.2    McCulloch, A.D.3
  • 7
    • 0032893947 scopus 로고    scopus 로고
    • Stretch-induced changes in the heart rate and rhythm: clinical observations, experiments and mathematical models
    • Kohl P, Hunter P, Noble D. Stretch-induced changes in the heart rate and rhythm: clinical observations, experiments and mathematical models. Progresses in Biophysics and Molecular Biology 1999; 71:91-138.
    • (1999) Progresses in Biophysics and Molecular Biology , vol.71 , pp. 91-138
    • Kohl, P.1    Hunter, P.2    Noble, D.3
  • 8
    • 78049334279 scopus 로고    scopus 로고
    • A calcium-driven mechanochemical model for prediction of force generation in smooth muscle
    • Murtada S, Kroon M, Holzapfel GA. A calcium-driven mechanochemical model for prediction of force generation in smooth muscle. Biomechanics and Modeling in Mechanobiology 2010; 9:749-762.
    • (2010) Biomechanics and Modeling in Mechanobiology , vol.9 , pp. 749-762
    • Murtada, S.1    Kroon, M.2    Holzapfel, G.A.3
  • 9
    • 71449123047 scopus 로고    scopus 로고
    • Electromechanics of the heart: a unified approach to the strongly coupled excitation-contraction problem
    • Göktepe S, Kuhl E. Electromechanics of the heart: a unified approach to the strongly coupled excitation-contraction problem. Computational Mechanics 2010; 45:227-243.
    • (2010) Computational Mechanics , vol.45 , pp. 227-243
    • Göktepe, S.1    Kuhl, E.2
  • 13
    • 34547179281 scopus 로고    scopus 로고
    • On the active response of soft living tissues
    • Nardinocchi P, Teresi L. On the active response of soft living tissues. Journal of Elasticity 2007; 88:27-39.
    • (2007) Journal of Elasticity , vol.88 , pp. 27-39
    • Nardinocchi, P.1    Teresi, L.2
  • 15
    • 0032144150 scopus 로고    scopus 로고
    • A multiaxial constitutive law for mammalian left ventricular myocardium in steady-state barium contracture or tetanus
    • Lin DHS, Yin FCP. A multiaxial constitutive law for mammalian left ventricular myocardium in steady-state barium contracture or tetanus. Journal of Biomechanical Engineering 1998; 120:504-518.
    • (1998) Journal of Biomechanical Engineering , vol.120 , pp. 504-518
    • Lin, D.H.S.1    Yin, F.C.P.2
  • 16
    • 84859004647 scopus 로고    scopus 로고
    • Active stress vs. active strain in mechanobiology: constitutive issues
    • DOI: 10.1007/s10659-011-9351-4. to appear.
    • Ambrosi D, Pezzuto S. Active stress vs. active strain in mechanobiology: constitutive issues. Journal of Elasticity DOI: 10.1007/s10659-011-9351-4. to appear.
    • Journal of Elasticity
    • Ambrosi, D.1    Pezzuto, S.2
  • 19
    • 0031336428 scopus 로고    scopus 로고
    • On the stability of mixed finite elements in large strain analysis of incompressible solids
    • Pantuso D, Bathe KJ. On the stability of mixed finite elements in large strain analysis of incompressible solids. Finite Elements in Analysis and Design 1997; 104:28-83.
    • (1997) Finite Elements in Analysis and Design , vol.104 , pp. 28-83
    • Pantuso, D.1    Bathe, K.J.2
  • 20
  • 24
    • 0003202707 scopus 로고
    • Existence and approximation results for nonlinear mixed problems: application to incompressible finite elasticity
    • Le Tallec P. Existence and approximation results for nonlinear mixed problems: application to incompressible finite elasticity. Numerische Mathematik 1982; 38:365-382.
    • (1982) Numerische Mathematik , vol.38 , pp. 365-382
    • Le Tallec, P.1
  • 26
    • 67649637247 scopus 로고    scopus 로고
    • Recovering displacements and deformations from 3D medical images using biomechanical models
    • Ayache N. Elsevier
    • Papademetris X, Vskrinjar O, Duncan JS. Recovering displacements and deformations from 3D medical images using biomechanical models. In Handbook of Numerical Analysis, Ayache N (ed.). Elsevier, 2004; 551-590.
    • (2004) Handbook of Numerical Analysis , pp. 551-590
    • Papademetris, X.1    Vskrinjar, O.2    Duncan, J.S.3
  • 27
    • 33646131626 scopus 로고    scopus 로고
    • A quantitative analysis of cardiac myocyte relaxation: a simulation study
    • Niederer SA, Hunter PJ, Smith NP. A quantitative analysis of cardiac myocyte relaxation: a simulation study. Biophysical Journal 2005; 90:1697-1722.
    • (2005) Biophysical Journal , vol.90 , pp. 1697-1722
    • Niederer, S.A.1    Hunter, P.J.2    Smith, N.P.3
  • 28
    • 49549104611 scopus 로고    scopus 로고
    • Approximate model of cooperative activation and crossbridge cycling in cardiac muscle using ordinary differential equations
    • Rice JJ, Wang F, Bers DM, de Tombe PP. Approximate model of cooperative activation and crossbridge cycling in cardiac muscle using ordinary differential equations. Biophysical Journal 2005; 95:2368-2390.
    • (2005) Biophysical Journal , vol.95 , pp. 2368-2390
    • Rice, J.J.1    Wang, F.2    Bers, D.M.3    de Tombe, P.P.4
  • 29
    • 0008528978 scopus 로고
    • Finite strain elastic-plastic theory with application to plane-wave analysis
    • Lee EH, Liu DT. Finite strain elastic-plastic theory with application to plane-wave analysis. Journal of Applied Physics 1967; 38:17-27.
    • (1967) Journal of Applied Physics , vol.38 , pp. 17-27
    • Lee, E.H.1    Liu, D.T.2
  • 31
    • 0023964056 scopus 로고
    • A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: part 1. Continuum formulation
    • Simo JC. A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: part 1. Continuum formulation. Computer Methods in Applied Mechanics and Engineering 1988; 66:199-219.
    • (1988) Computer Methods in Applied Mechanics and Engineering , vol.66 , pp. 199-219
    • Simo, J.C.1
  • 33
    • 77958055069 scopus 로고    scopus 로고
    • A mechanochemical 3D continuum model for smooth muscle contraction under finite strains
    • Stålhand J, Klarbring A, Holzapfel GA. A mechanochemical 3D continuum model for smooth muscle contraction under finite strains. Journal of Theoretical Biology 2011; 268:120-130.
    • (2011) Journal of Theoretical Biology , vol.268 , pp. 120-130
    • Stålhand, J.1    Klarbring, A.2    Holzapfel, G.A.3
  • 34
    • 80054857231 scopus 로고    scopus 로고
    • Computational modeling of growth: systemic and pulmonary hypertension in the heart
    • DOI: 10.1007/s10237-010-0275-x.
    • Rausch MK, Dam A, Göktepe S, Abilez OJ, Kuhl E. Computational modeling of growth: systemic and pulmonary hypertension in the heart. Biomechanics and Modeling in Mechanobiology 2011; 10:799-811. DOI: 10.1007/s10237-010-0275-x.
    • (2011) Biomechanics and Modeling in Mechanobiology , vol.10 , pp. 799-811
    • Rausch, M.K.1    Dam, A.2    Göktepe, S.3    Abilez, O.J.4    Kuhl, E.5
  • 35
    • 0017339689 scopus 로고
    • A reexamination of the influence of muscle length on myocardial performance
    • Jewell BR. A reexamination of the influence of muscle length on myocardial performance. Circulation Research 1977; 40:221-230.
    • (1977) Circulation Research , vol.40 , pp. 221-230
    • Jewell, B.R.1
  • 38
    • 65549158134 scopus 로고    scopus 로고
    • Quantification of cardiomyocyte contraction based on image correlation analysis
    • Kamgoué A, Ohayon J, Usson Y, Riou L, Tracqui P. Quantification of cardiomyocyte contraction based on image correlation analysis. Cytometry A 2009; 75:298-308.
    • (2009) Cytometry A , vol.75 , pp. 298-308
    • Kamgoué, A.1    Ohayon, J.2    Usson, Y.3    Riou, L.4    Tracqui, P.5
  • 39
    • 0037408876 scopus 로고    scopus 로고
    • Sufficient conditions for strong ellipticity for a class of anisotropic materials
    • Walton J, Wilber J. Sufficient conditions for strong ellipticity for a class of anisotropic materials. International Journal of Non-Linear Mechanics 2003; 38:441-455.
    • (2003) International Journal of Non-Linear Mechanics , vol.38 , pp. 441-455
    • Walton, J.1    Wilber, J.2
  • 43
    • 70449706782 scopus 로고    scopus 로고
    • 3rd edn). Laboratoire Jacques-Louis Lions: Université Pierre et Marie Curie, Paris
    • Hecht F. FreeFem++, (3rd edn). Laboratoire Jacques-Louis Lions: Université Pierre et Marie Curie, Paris, 2008.
    • (2008) FreeFem++
    • Hecht, F.1
  • 44
    • 84862311355 scopus 로고    scopus 로고
    • COMSOL Multiphysics 4.2 (2011), COMSOL INC. (Available from:) [Accessed on March2011].
    • COMSOL Multiphysics 4.2 (2011), COMSOL INC. (Available from:) [Accessed on March2011].
  • 47
  • 50
    • 57549089090 scopus 로고    scopus 로고
    • Multi-component heart reconstruction from volumetric imaging. Proceedings of the ACM Solid and Physical Modeling Symposium, Stony Brook, NY
    • Bajaj C, Goswami S. Multi-component heart reconstruction from volumetric imaging. Proceedings of the ACM Solid and Physical Modeling Symposium, Stony Brook, NY, 2008; 193-202.
    • (2008) , pp. 193-202
    • Bajaj, C.1    Goswami, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.