메뉴 건너뛰기




Volumn 28, Issue 6-7, 2012, Pages 727-744

Reduced-order modeling for cardiac electrophysiology. Application to parameter identification

Author keywords

Cardiac electrophysiology; Inverse problem; POD; Reduced order model

Indexed keywords

BIDOMAIN EQUATION; CARDIAC ELECTROPHYSIOLOGY; IONIC PARAMETERS; POD; PROPER ORTHOGONAL DECOMPOSITIONS; REDUCED ORDER MODELS; REDUCED-ORDER MODELING; RESTITUTION CURVE;

EID: 84862327451     PISSN: 20407939     EISSN: 20407947     Source Type: Journal    
DOI: 10.1002/cnm.2465     Document Type: Article
Times cited : (54)

References (35)
  • 4
    • 26444455786 scopus 로고    scopus 로고
    • Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models
    • Colli Franzone P, Pavarino LF, Taccardi B. Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models. Mathematical Biosciences 2005; 197(1):35-66.
    • (2005) Mathematical Biosciences , vol.197 , Issue.1 , pp. 35-66
    • Colli Franzone, P.1    Pavarino, L.F.2    Taccardi, B.3
  • 5
    • 0026086480 scopus 로고
    • An Eikonal-curvature equation for action potential propagation in myocardium
    • Keener JP. An Eikonal-curvature equation for action potential propagation in myocardium. Journal of mathematical biology 1991; 29(7):629-651.
    • (1991) Journal of mathematical biology , vol.29 , Issue.7 , pp. 629-651
    • Keener, J.P.1
  • 6
    • 0036706241 scopus 로고    scopus 로고
    • A finite element method for an Eikonal equation model of myocardial excitation wavefront propagation
    • Tomlinson KA, Hunter PJ, Pullan AJ. A finite element method for an Eikonal equation model of myocardial excitation wavefront propagation. SIAM Journal on Applied Mathematics 2002; 63(1):324-350.
    • (2002) SIAM Journal on Applied Mathematics , vol.63 , Issue.1 , pp. 324-350
    • Tomlinson, K.A.1    Hunter, P.J.2    Pullan, A.J.3
  • 14
    • 55349093029 scopus 로고    scopus 로고
    • Semi-implicit time-discretization schemes for the bidomain model
    • Ethier M, Bourgault Y. Semi-implicit time-discretization schemes for the bidomain model. SIAM Journal on Numerical Analysis 2008; 46:2443.
    • (2008) SIAM Journal on Numerical Analysis , vol.46 , pp. 2443
    • Ethier, M.1    Bourgault, Y.2
  • 15
    • 17844391098 scopus 로고    scopus 로고
    • Modeling the electrical activity of the heart: A bidomain model of the ventricles embedded in a torso
    • Lines GT, Grøttum P, Tveito A. Modeling the electrical activity of the heart: A bidomain model of the ventricles embedded in a torso. Computing and Visualization in Science 2003; 5(4):195-213.
    • (2003) Computing and Visualization in Science , vol.5 , Issue.4 , pp. 195-213
    • Lines, G.T.1    Grøttum, P.2    Tveito, A.3
  • 16
    • 0034848055 scopus 로고    scopus 로고
    • Efficient solution of ordinary differential equations modeling electrical activity in cardiac cells
    • Sundnes J, Lines GT, Tveito A. Efficient solution of ordinary differential equations modeling electrical activity in cardiac cells. Mathematical Biosciences 2001; 172(2):55-72.
    • (2001) Mathematical Biosciences , vol.172 , Issue.2 , pp. 55-72
    • Sundnes, J.1    Lines, G.T.2    Tveito, A.3
  • 17
    • 0003963931 scopus 로고    scopus 로고
    • A numerical method for the solution of the bidomain equations in cardiac tissue
    • Keener JP, Bogar K. A numerical method for the solution of the bidomain equations in cardiac tissue. Chaos 1998; 8(1):234-241.
    • (1998) Chaos , vol.8 , Issue.1 , pp. 234-241
    • Keener, J.P.1    Bogar, K.2
  • 18
    • 17844407146 scopus 로고    scopus 로고
    • An operator splitting method for solving the bidomain equations coupled to a volume conductor model for the torso
    • Sundnes J, Lines GT, Tveito A. An operator splitting method for solving the bidomain equations coupled to a volume conductor model for the torso. Mathematical Biosciences 2005; 194(2):233-248.
    • (2005) Mathematical Biosciences , vol.194 , Issue.2 , pp. 233-248
    • Sundnes, J.1    Lines, G.T.2    Tveito, A.3
  • 20
    • 0035540055 scopus 로고    scopus 로고
    • Galerkin proper orthogonal decomposition methods for parabolic problems
    • Kunisch K, Volkwein S. Galerkin proper orthogonal decomposition methods for parabolic problems. Numerische Mathematik 2001; 90(1):117-148.
    • (2001) Numerische Mathematik , vol.90 , Issue.1 , pp. 117-148
    • Kunisch, K.1    Volkwein, S.2
  • 22
  • 23
    • 78149314237 scopus 로고    scopus 로고
    • Nonlinear model reduction via discrete empirical interpolation
    • Chaturantabut S, Sorensen DC. Nonlinear model reduction via discrete empirical interpolation. SIAM Journal on Scientific Computing 2010; 32(5):2737-2764.
    • (2010) SIAM Journal on Scientific Computing , vol.32 , Issue.5 , pp. 2737-2764
    • Chaturantabut, S.1    Sorensen, D.C.2
  • 27
    • 36348994518 scopus 로고    scopus 로고
    • Electrocardiogram-based restitution curve. Computers in cardiology, 2006, Valencia, Spain, IEEE
    • Manriquez AI, Zhang Q, Medigue C, Papelier Y, Sonne M. Electrocardiogram-based restitution curve. Computers in cardiology, 2006, Valencia, Spain, IEEE, 2008; 493-496.
    • (2008) , pp. 493-496
    • Manriquez, A.I.1    Zhang, Q.2    Medigue, C.3    Papelier, Y.4    Sonne, M.5
  • 28
    • 36749048770 scopus 로고    scopus 로고
    • The role of extracellular potassium transport in computer models of ischemic zone
    • Potse M, Coronel R, LeBlanc AR. The role of extracellular potassium transport in computer models of ischemic zone. Med Bio Eng Comput 2007; 45:1187-1199.
    • (2007) Med Bio Eng Comput , vol.45 , pp. 1187-1199
    • Potse, M.1    Coronel, R.2    LeBlanc, A.R.3
  • 30
    • 33846512721 scopus 로고    scopus 로고
    • The effect of lesion size and tissue remodeling on ST deviation in partial-thickness ischemia
    • Potse M, Coronel R, Falcao S, LeBlanc AR, Vinet A. The effect of lesion size and tissue remodeling on ST deviation in partial-thickness ischemia. Heart Rhythm 2007; 4:200-206.
    • (2007) Heart Rhythm , vol.4 , pp. 200-206
    • Potse, M.1    Coronel, R.2    Falcao, S.3    LeBlanc, A.R.4    Vinet, A.5
  • 31
    • 34548101652 scopus 로고    scopus 로고
    • How genetic algorithms can improve a pacemaker efficiency. Proceedings of GECCO 2007, London, England UK
    • Dumas L, El Alaoui L. How genetic algorithms can improve a pacemaker efficiency. Proceedings of GECCO 2007, London, England UK, 2007; 2681-2686.
    • (2007) , pp. 2681-2686
    • Dumas, L.1    El Alaoui, L.2
  • 32
    • 84862305346 scopus 로고    scopus 로고
    • Cagnoni S, Smith S (eds)., chapter How Genetic Algorithms can improve a pacemaker efficiency, John Wiley and Sons
    • Cagnoni S, Smith S (eds). Medical Applications of Genetic and Evolutionary Computation, chapter How Genetic Algorithms can improve a pacemaker efficiency, John Wiley and Sons, 2010.
    • (2010) Medical Applications of Genetic and Evolutionary Computation
  • 33
    • 33845808725 scopus 로고    scopus 로고
    • On the use of the resting potential and level set methods for identifying ischemic heart disease: An inverse problem
    • Nielsen BF, Lysaker M, Tveito A. On the use of the resting potential and level set methods for identifying ischemic heart disease: An inverse problem. Journal of Computation Physics 2007; 220(2):772-790.
    • (2007) Journal of Computation Physics , vol.220 , Issue.2 , pp. 772-790
    • Nielsen, B.F.1    Lysaker, M.2    Tveito, A.3
  • 34
    • 4644275524 scopus 로고    scopus 로고
    • Automated ischemic beat classification using genetic algorithms and multicriteria decision analysis
    • Goletsis Y, Papaloukas C, Fotiadis DI, Likas A, Michalis LK. Automated ischemic beat classification using genetic algorithms and multicriteria decision analysis. IEEE Trans. Biomed. Eng. 2004; 51(10):1717-1725.
    • (2004) IEEE Trans. Biomed. Eng. , vol.51 , Issue.10 , pp. 1717-1725
    • Goletsis, Y.1    Papaloukas, C.2    Fotiadis, D.I.3    Likas, A.4    Michalis, L.K.5
  • 35
    • 84863708912 scopus 로고    scopus 로고
    • Parameter identification in cardiac electrophysiology using proper orthogonal decomposition method
    • Sachse FB, Seemann G (eds), Lecture Notes in Computer Science. Springer-Verlag, To appear.
    • Boulakia M, Gerbeau J-F. Parameter identification in cardiac electrophysiology using proper orthogonal decomposition method. In Functional Imaging and Modeling of the Heart, Sachse FB, Seemann G (eds), Lecture Notes in Computer Science. Springer-Verlag, 2011. To appear.
    • (2011) Functional Imaging and Modeling of the Heart
    • Boulakia, M.1    Gerbeau, J.-F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.