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Volumn 10, Issue 2, 2012, Pages 189-211

Energy-preserving muscle tissue model: Formulation and compatible discretizations

Author keywords

Energy balance; Multiscale; Muscle tissue modeling; Myocardium; Time and space discretizations

Indexed keywords

BALANCE LAW; BIOLOGICAL FUNCTIONS; CHEMICAL ACTIVITIES; COMPATIBLE DISCRETIZATIONS; DISCRETIZATIONS; ENERGY CONSIDERATIONS; ENERGY EXCHANGES; ENERGY MECHANISMS; MECHANICAL WORK; MULTISCALES; MUSCLE TISSUES; MYOCARDIUM; SPACE DISCRETIZATIONS; STRIATED MUSCLES;

EID: 84861002784     PISSN: 15431649     EISSN: None     Source Type: Journal    
DOI: 10.1615/IntJMultCompEng.2011002360     Document Type: Article
Times cited : (86)

References (32)
  • 1
    • 68649092333 scopus 로고    scopus 로고
    • 2+ signaling in the coordination of mitochondrial ATP production with cardiac work
    • 2+ signaling in the coordination of mitochondrial ATP production with cardiac work, Biochimica et Biophysica Acta (BBA) - Bioenergetics, vol. 1787, no. 11, pp. 1334-1341, 2009.
    • (2009) Biochimica Et Biophysica Acta (BBA) - Bioenergetics , vol.1787 , Issue.11 , pp. 1334-1341
    • Balaban, R.1
  • 2
    • 33846093462 scopus 로고    scopus 로고
    • A polyconvex framework for soft biological tissues, adjustment to experimental data
    • Balzani, D., Neff, P., Schröder, J., and Holzapfel, G., A polyconvex framework for soft biological tissues, adjustment to experimental data, Int. J. Solids Struct., vol. 43, pp. 6052-6070, 2006.
    • (2006) Int. J. Solids Struct , vol.43 , pp. 6052-6070
    • Balzani, D.1    Neff, P.2    Schröder, J.3    Holzapfel, G.4
  • 3
    • 26144450006 scopus 로고    scopus 로고
    • Modèle différentiel de la contraction musculaire contrôlée: Application au système cardio-vasculaire, PhD thesis
    • Bestel, J., Modèle différentiel de la contraction musculaire contrôlée: Application au système cardio-vasculaire, PhD thesis, University Paris IX Dauphine, 2000.
    • (2000) University Paris IX Dauphine
    • Bestel, J.1
  • 4
    • 84958172979 scopus 로고    scopus 로고
    • A Biomechanical Model of Muscle Contraction
    • Niessen, W. J. and Viergever, M. A. (eds.), Springer-Verlag
    • Bestel, J., Clément, F., and Sorine, M., A Biomechanical Model of Muscle Contraction, Lecture Notes in Computer Science, vol. 2208, Niessen, W. J. and Viergever, M. A. (eds.), Springer-Verlag, 2001.
    • (2001) Lecture Notes In Computer Science , vol.2208
    • Bestel, J.1    Clément, F.2    Sorine, M.3
  • 7
    • 84957806648 scopus 로고    scopus 로고
    • A physiologically-based model for the active cardiac muscle
    • Katila, T., Magnin, I. E., Clarysse, P., Montagnat, J., and Nenonen, J. (eds.), Springer-Verlag, Berlin
    • Chapelle, D., Clément, F., Génot, F., Le Tallec, P., Sorine, M., and Urquiza, J., A physiologically-based model for the active cardiac muscle, Lectures Notes in Computer Science, vol. 2230, Katila, T., Magnin, I. E., Clarysse, P., Montagnat, J., and Nenonen, J. (eds.), Springer-Verlag, Berlin, 2001.
    • (2001) Lectures Notes In Computer Science , vol.2230
    • Chapelle, D.1    Clément, F.2    Génot, F.3    le Tallec, P.4    Sorine, M.5    Urquiza, J.6
  • 9
    • 0000917292 scopus 로고
    • Sur les lois de comportement en élasticité non linéaire
    • Ciarlet, P. and Geymonat, G., Sur les lois de comportement en élasticité non linéaire, C.R.A.S, Série II, vol. 295, pp. 423-426, 1982.
    • (1982) C.R.A.S, Série II , vol.295 , pp. 423-426
    • Ciarlet, P.1    Geymonat, G.2
  • 10
    • 34248168644 scopus 로고    scopus 로고
    • Modeling cardiac mechanical properties in three dimensions
    • Costa, K., Holmes, J., and McCulloch, A., Modeling cardiac mechanical properties in three dimensions, Phil. Trans. R. Soc. Lond. A, vol. 359, pp. 1233-1250, 2001.
    • (2001) Phil. Trans. R. Soc. Lond. A , vol.359 , pp. 1233-1250
    • Costa, K.1    Holmes, J.2    McCulloch, A.3
  • 12
  • 13
    • 0034509896 scopus 로고    scopus 로고
    • Exact energy and momentum conserving algorithm for general models in nonlinear elasticity
    • Gonzales, O., Exact energy and momentum conserving algorithm for general models in nonlinear elasticity, Comput. Method Appl. Mech. Eng., vol. 190, no. 13-14, pp. 1763-1783, 2000.
    • (2000) Comput. Method Appl. Mech. Eng , vol.190 , Issue.13-14 , pp. 1763-1783
    • Gonzales, O.1
  • 14
    • 33744902898 scopus 로고    scopus 로고
    • Energy controlling time integration methods for nonlinear elastodynamics and low velocity impact
    • Hauret, P. and Le Tallec, P., Energy controlling time integration methods for nonlinear elastodynamics and low velocity impact, Comput. Method Appl. Mech. Eng., vol. 195, pp. 4890-4916, 2006.
    • (2006) Comput. Method Appl. Mech. Eng , vol.195 , pp. 4890-4916
    • Hauret, P.1    le Tallec, P.2
  • 15
    • 0000682154 scopus 로고
    • The heat of shortening and the dynamic constants of muscle
    • Hill, V., The heat of shortening and the dynamic constants of muscle, Proc. Roy. Soc. London, Series B, vol. 126, no. 843, pp. 126-136, 1938.
    • (1938) Proc. Roy. Soc. London, Series B , vol.126 , Issue.843 , pp. 126-136
    • Hill, V.1
  • 16
    • 69649106670 scopus 로고    scopus 로고
    • Constitutive modelling of passive myocardium: A structurally based framework for material characterization
    • Holzapfel, G. and Ogden, R., Constitutive modelling of passive myocardium: A structurally based framework for material characterization, Phil. Trans. R. Soc. A, vol. 367, pp. 3445-3475, 2009.
    • (2009) Phil. Trans. R. Soc. A , vol.367 , pp. 3445-3475
    • Holzapfel, G.1    Ogden, R.2
  • 18
    • 15544378329 scopus 로고    scopus 로고
    • Continuum biomechanics of soft tissues
    • Humphrey, J., Continuum biomechanics of soft tissues, Proc. R. Soc. Lond. A, vol. 459, pp. 3-46, 2002b.
    • (2002) Proc. R. Soc. Lond. A , vol.459 , pp. 3-46
    • Humphrey, J.1
  • 19
    • 0032026584 scopus 로고    scopus 로고
    • Modelling the mechanical properties of cardiac muscle
    • Hunter, P., McCulloch, A., and ter Keurs, H., Modelling the mechanical properties of cardiac muscle, Progr. Biophys. Mol. Biol., vol. 69, pp. 289-331, 1998.
    • (1998) Progr. Biophys. Mol. Biol , vol.69 , pp. 289-331
    • Hunter, P.1    McCulloch, A.2    Keurs, T.H.3
  • 20
    • 33847013578 scopus 로고
    • Muscle structure and theories of contraction
    • Huxley, A., Muscle structure and theories of contraction, Prog. Biophys. Biol. Chem., vol. 7, pp. 255-318, 1957.
    • (1957) Prog. Biophys. Biol. Chem , vol.7 , pp. 255-318
    • Huxley, A.1
  • 21
  • 23
    • 0000225931 scopus 로고
    • Numerical methods for nonlinear three-dimensional elasticity
    • Ciarlet, P. G. and Lions, J.-L. (eds.), Elsevier, New York
    • Le Tallec, P., Numerical methods for nonlinear three-dimensional elasticity, Handbook of Numerical Analysis, vol. 3, Ciarlet, P. G. and Lions, J.-L. (eds.), Elsevier, New York, 1994.
    • (1994) Handbook of Numerical Analysis , vol.3
    • le Tallec, P.1
  • 25
    • 0015817683 scopus 로고
    • Assessment of passive elastic stiffness for isolated heart muscle and the intact heart
    • Mirsky, I. and Parmley, W., Assessment of passive elastic stiffness for isolated heart muscle and the intact heart, Circ. Res., vol. XXXIII, pp. 233-243, 1973.
    • (1973) Circ. Res , vol.33 , pp. 233-243
    • Mirsky, I.1    Parmley, W.2
  • 26
    • 84860993619 scopus 로고    scopus 로고
    • Filtering based data assimilation for second order hyperbolic PDEs: Applications in cardiac mechanics
    • Ecole Polytechnique
    • Moireau, P., Filtering based data assimilation for second order hyperbolic PDEs: Applications in cardiac mechanics, PhD thesis, Ecole Polytechnique, 2008.
    • (2008) PhD Thesis
    • Moireau, P.1
  • 27
    • 0034435086 scopus 로고    scopus 로고
    • Computational mechanics of the heart-from tissue structure to ventricular function
    • Nash, M. and Hunter, P., Computational mechanics of the heart-from tissue structure to ventricular function, J. Elast., vol. 61, pp. 113-141, 2000.
    • (2000) J. Elast , vol.61 , pp. 113-141
    • Nash, M.1    Hunter, P.2
  • 28
    • 57149115783 scopus 로고    scopus 로고
    • Symmetry groups in nonlinear elasticity: An exercise in vintage mathematics, submitted to Commun
    • Raoult, A., Symmetry groups in nonlinear elasticity: An exercise in vintage mathematics, submitted to Commun. Pure Appl. Anal., vol. 8, no. 1, pp. 435-456, 2009.
    • (2009) Pure Appl. Anal , vol.8 , Issue.1 , pp. 435-456
    • Raoult, A.1
  • 29
    • 0001526376 scopus 로고
    • Stress-deformation relations for isotropic materials
    • Rivlin, R. and Ericksen, J., Stress-deformation relations for isotropic materials, J. Rational Mech. Anal., vol. 4, pp. 323-425, 1955.
    • (1955) J. Rational Mech. Anal , vol.4 , pp. 323-425
    • Rivlin, R.1    Ericksen, J.2
  • 30
    • 33748687589 scopus 로고    scopus 로고
    • Modeling and estimation of the cardiac electromechanical activity
    • Sainte-Marie, J., Chapelle, D., Cimrman, R., and Sorine, M., Modeling and estimation of the cardiac electromechanical activity, Comput. Struct., vol. 84, pp. 1743-1759, 2006.
    • (2006) Comput. Struct , vol.84 , pp. 1743-1759
    • Sainte-Marie, J.1    Chapelle, D.2    Cimrman, R.3    Sorine, M.4
  • 31
    • 33845335159 scopus 로고    scopus 로고
    • Molecular system bioenergetics: Regulation of substrate supply in response to heart energy demands
    • Saks, V., Favier, R., Guzun, R., Schlattner, U., and Wallimann, T., Molecular system bioenergetics: Regulation of substrate supply in response to heart energy demands, J. Physiol., vol. 577, no. 3, pp. 769-777, 2006.
    • (2006) J. Physiol , vol.577 , Issue.3 , pp. 769-777
    • Saks, V.1    Favier, R.2    Guzun, R.3    Schlattner, U.4    Wallimann, T.5
  • 32
    • 0014698583 scopus 로고
    • Mechanical characterization of skin-finite deformation
    • Veronda, D. and Westmann, R., Mechanical characterization of skin-finite deformation, J. Biomechanics, vol. 3, pp. 114-124, 1970.
    • (1970) J. Biomechanics , vol.3 , pp. 114-124
    • Veronda, D.1    Westmann, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.