메뉴 건너뛰기




Volumn 28, Issue 1, 2012, Pages 52-71

An active strain electromechanical model for cardiac tissue

Author keywords

Active strain; Bidomain equations; Cardiac electromechanical coupling; Finite elements; Nonlinear elasticity; Reaction diffusion problem

Indexed keywords

ACTIVE PARTS; BIDOMAIN; BIDOMAIN EQUATION; CARDIAC TISSUES; COMPRESSIBLE NONLINEAR ELASTICITY; DEFORMATION TENSORS; DISPLACEMENTS FIELDS; ELECTRICAL POTENTIAL; ELECTRICAL PROPAGATION; ELECTROMECHANICAL MODELS; EULERIAN; FINITE ELEMENT; FINITE ELEMENT APPROXIMATIONS; FINITE ELEMENT CODES; LAGRANGIAN; LARGE DEFORMATIONS; MECHANICAL RESPONSE; MONODOMAIN EQUATIONS; MULTIPLICATIVE DECOMPOSITION; NONLINEAR DIFFUSION; NONLINEAR ELASTICITY; NUMERICAL SCHEME; NUMERICAL TESTS; PIECE-WISE; PIECEWISE LINEAR; QUADRATIC FINITE ELEMENTS; REACTION DIFFUSION PROBLEMS;

EID: 84856385167     PISSN: 20407939     EISSN: 20407947     Source Type: Journal    
DOI: 10.1002/cnm.1468     Document Type: Article
Times cited : (79)

References (40)
  • 2
    • 2442466779 scopus 로고    scopus 로고
    • Electromechanical model of excitable tissue to study reentrant cardiac arrhythmias
    • Nash MP, Panfilov AV. Electromechanical model of excitable tissue to study reentrant cardiac arrhythmias. Progresses in Biophysics and Molecular Biology 2004; 85:501-522.
    • (2004) Progresses in Biophysics and Molecular Biology , vol.85 , pp. 501-522
    • Nash, M.P.1    Panfilov, A.V.2
  • 8
    • 69249216790 scopus 로고    scopus 로고
    • Algebraic multigrid preconditioners for the bidomain reaction-diffusion system
    • Pennacchio M, Simoncini V. Algebraic multigrid preconditioners for the bidomain reaction-diffusion system. Applied Numerical Mathematics 2009; 59:3033-3050.
    • (2009) Applied Numerical Mathematics , vol.59 , pp. 3033-3050
    • Pennacchio, M.1    Simoncini, V.2
  • 10
    • 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
  • 12
    • 84856374106 scopus 로고
    • A bi-domain model for describing ischemic myocardial D-C currents. PhD thesis, MIT, Cambridge, MA
    • Tung L. A bi-domain model for describing ischemic myocardial D-C currents. PhD thesis, MIT, Cambridge, MA, 1978.
    • (1978)
    • Tung, L.1
  • 13
    • 0028483993 scopus 로고
    • A collocation-Galerkin finite element model of cardiac action potential propagation
    • Rogers JM, McCulloch AD. A collocation-Galerkin finite element model of cardiac action potential propagation. IEEE Transactions on Biomedical Engineering 1994; 41:743-757.
    • (1994) IEEE Transactions on Biomedical Engineering , vol.41 , pp. 743-757
    • Rogers, J.M.1    McCulloch, A.D.2
  • 14
    • 0025891531 scopus 로고
    • A model of the ventricular cardiac action potential: depolarization, repolarization, and their interaction
    • Luo C, Rudy Y. A model of the ventricular cardiac action potential: depolarization, repolarization, and their interaction. Circulation Research 1991; 68:1501-1526.
    • (1991) Circulation Research , vol.68 , pp. 1501-1526
    • Luo, C.1    Rudy, Y.2
  • 15
    • 84856402742 scopus 로고    scopus 로고
    • Adaptive multiresolution simulation of waves in electrocardiology
    • Kreiss G, eds). Springer-Verlag: Berlin Heidelberg
    • Bürger R, Ruiz-Baier R. Adaptive multiresolution simulation of waves in electrocardiology. In Numerical Mathematics and Advanced Applications. Kreiss G, et al (eds). Springer-Verlag: Berlin Heidelberg, 2010; 199-207.
    • (2010) Numerical Mathematics and Advanced Applications , pp. 199-207
    • Bürger, R.1    Ruiz-Baier, R.2
  • 16
    • 69649106670 scopus 로고    scopus 로고
    • Constitutive modelling of passive myocardium: a structurally based framework for material characterization
    • Holzapfel GA, Ogden RW. Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Philosophical Transactions of the Royal Society A 2009; 367:3445-3475.
    • (2009) Philosophical Transactions of the Royal Society A , vol.367 , pp. 3445-3475
    • Holzapfel, G.A.1    Ogden, R.W.2
  • 19
    • 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
  • 24
    • 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 2008; 95:2368-2390.
    • (2008) Biophysical Journal , vol.95 , pp. 2368-2390
    • Rice, J.J.1    Wang, F.2    Bers, D.M.3    de Tombe, P.P.4
  • 25
    • 7244228938 scopus 로고    scopus 로고
    • Degenerate evolution systems modeling the cardiac electric field at micro- and macroscopic level
    • Lorenzi A, Ruf B (eds). Birkhäuser: Basel
    • Colli Franzone P, Savaré G. Degenerate evolution systems modeling the cardiac electric field at micro- and macroscopic level. In Evolution Equations, Semigroups and Functional Analysis, Lorenzi A, Ruf B (eds). Birkhäuser: Basel, 2002; 49-78.
    • (2002) Evolution Equations, Semigroups and Functional Analysis , pp. 49-78
    • Colli Franzone, P.1    Savaré, G.2
  • 26
    • 56549124230 scopus 로고    scopus 로고
    • Reaction-diffusion systems for the macroscopic Bidomain model of the cardiac electric field
    • Veneroni M. Reaction-diffusion systems for the macroscopic Bidomain model of the cardiac electric field. Nonlinear Analysis: Real World Applications 2009; 10:849-868.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , pp. 849-868
    • Veneroni, M.1
  • 28
    • 84856366144 scopus 로고    scopus 로고
    • Mathematical analysis of a coupled model in cardiac electromechanics. Submitted.
    • Andreianov B, Bendahmane M, Quarteroni A, Ruiz-Baier R. Mathematical analysis of a coupled model in cardiac electromechanics. Submitted.
    • Andreianov, B.1    Bendahmane, M.2    Quarteroni, A.3    Ruiz-Baier, R.4
  • 29
    • 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
  • 31
    • 69249092098 scopus 로고    scopus 로고
    • A comparison of numerical methods used for finite element modelling of soft tissue deformation
    • Pathmanathan P, Gavaghan D, Whiteley JP. A comparison of numerical methods used for finite element modelling of soft tissue deformation. Journal of Strain Analysis 2009; 44:391-406.
    • (2009) Journal of Strain Analysis , vol.44 , pp. 391-406
    • Pathmanathan, P.1    Gavaghan, D.2    Whiteley, J.P.3
  • 32
    • 84856366143 scopus 로고    scopus 로고
    • LifeV library
    • LifeV library.
  • 33
    • 70449706782 scopus 로고    scopus 로고
    • 3rd edn. Université Pierre et Marie Curie, Laboratoire Jacques-Louis Lions: Paris
    • Hecht F. FREEFEM++, 3rd edn. Université Pierre et Marie Curie, Laboratoire Jacques-Louis Lions: Paris, 2008.
    • (2008) FREEFEM++
    • Hecht, F.1
  • 34
    • 0004696318 scopus 로고    scopus 로고
    • A finite element model of passive mechanics and electrical propagation in the rabbit ventricles
    • Vetter FJ, Rogers JM, McCulloch AD. A finite element model of passive mechanics and electrical propagation in the rabbit ventricles. Computational Cardiology 1998; 25:705-708.
    • (1998) Computational Cardiology , vol.25 , pp. 705-708
    • Vetter, F.J.1    Rogers, J.M.2    McCulloch, A.D.3
  • 36
  • 40
    • 79251636579 scopus 로고    scopus 로고
    • Whole-heart modeling: applications to cardiac electrophysiology and electromechanics
    • Trayanova NA. Whole-heart modeling: applications to cardiac electrophysiology and electromechanics. Circulation Research 2011; 108:113-128.
    • (2011) Circulation Research , vol.108 , pp. 113-128
    • Trayanova, N.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.