메뉴 건너뛰기




Volumn 250, Issue , 2013, Pages 403-424

Inverse electrocardiographic source localization of ischemia: An optimization framework and finite element solution

Author keywords

Bidomain model; Electrocardiography; Finite element method; Inverse problem; Myocardial ischemia; PDE optimization; Total variation

Indexed keywords

CONSTRAINED OPTIMIZATION; INVERSE PROBLEMS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 84879130295     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2013.05.027     Document Type: Article
Times cited : (56)

References (42)
  • 1
    • 79960124159 scopus 로고    scopus 로고
    • SCIRun: a scientific computing problem solving environment, Scientific Computing and Imaging Institute (SCI)
    • Download from:
    • SCIRun: a scientific computing problem solving environment, Scientific Computing and Imaging Institute (SCI), 2011, Download from: http://www.scirun.org.
    • (2011)
  • 2
    • 0017367634 scopus 로고
    • Relating epicardial to body surface potential distributions by means of transfer coefficients based on geometry measurements
    • Barr R.C., Ramsey M., Spach M.S. Relating epicardial to body surface potential distributions by means of transfer coefficients based on geometry measurements. IEEE Transactions on Biomedical Engineering 1977, 24(1):1-11.
    • (1977) IEEE Transactions on Biomedical Engineering , vol.24 , Issue.1 , pp. 1-11
    • Barr, R.C.1    Ramsey, M.2    Spach, M.S.3
  • 3
    • 33644934079 scopus 로고    scopus 로고
    • Parallel Lagrange-Newton-Krylov-Schur methods for PDE-constrained optimization. Part I: The Krylov-Schur solver
    • Biros G., Ghattas O. Parallel Lagrange-Newton-Krylov-Schur methods for PDE-constrained optimization. Part I: The Krylov-Schur solver. SIAM Journal of Scientific Computing 2005, 27(2):687-713.
    • (2005) SIAM Journal of Scientific Computing , vol.27 , Issue.2 , pp. 687-713
    • Biros, G.1    Ghattas, O.2
  • 4
    • 79960713150 scopus 로고    scopus 로고
    • Bidomain ECG simulations using an augmented monodomain model for the cardiac source
    • Bishop M.J., Plank G. Bidomain ECG simulations using an augmented monodomain model for the cardiac source. IEEE Transactions on Biomedical Engineering 2011, 58(8):2297-2307.
    • (2011) IEEE Transactions on Biomedical Engineering , vol.58 , Issue.8 , pp. 2297-2307
    • Bishop, M.J.1    Plank, G.2
  • 6
    • 0033295350 scopus 로고    scopus 로고
    • A nonlinear primal-dual method for total variation-based image restoration
    • Chan T.F., Golub G.H., Mulet P. A nonlinear primal-dual method for total variation-based image restoration. SIAM Journal of Scientific Computing 1999, 20(6):1964-1977.
    • (1999) SIAM Journal of Scientific Computing , vol.20 , Issue.6 , pp. 1964-1977
    • Chan, T.F.1    Golub, G.H.2    Mulet, P.3
  • 7
    • 85190265328 scopus 로고    scopus 로고
    • CIBC, seg3D: volumetric image segmentation and visualization. Scientific Computing and Imaging Institute (SCI)
    • Download from:
    • CIBC, seg3D: volumetric image segmentation and visualization. Scientific Computing and Imaging Institute (SCI), 2011, Download from: http://www.seg3d.org.
    • (2011)
  • 8
    • 0021647963 scopus 로고
    • Model studies with the inversely calculated isochrones of ventricular depolarization
    • Cuppen J.J.M., van Oosterom A. Model studies with the inversely calculated isochrones of ventricular depolarization. IEEE Transactions on Biomedical Engineering 1984, 31(10):652-659.
    • (1984) IEEE Transactions on Biomedical Engineering , vol.31 , Issue.10 , pp. 652-659
    • Cuppen, J.J.M.1    van Oosterom, A.2
  • 9
    • 63949083530 scopus 로고    scopus 로고
    • Application of L1-norm regularization to epicardial potential solution of the inverse electrocardiography problem
    • Ghosh S., Rudy Y. Application of L1-norm regularization to epicardial potential solution of the inverse electrocardiography problem. Annals of Biomedical Engineering 2009, 37(5):902-912.
    • (2009) Annals of Biomedical Engineering , vol.37 , Issue.5 , pp. 902-912
    • Ghosh, S.1    Rudy, Y.2
  • 14
    • 21144446703 scopus 로고    scopus 로고
    • The effect of conductivity on ST-segment epicardial potentials arising from subendocardial ischemia
    • Hopenfeld B., Stinstra J.G., MacLeod R.S. The effect of conductivity on ST-segment epicardial potentials arising from subendocardial ischemia. Annals of Biomedical Engineering 2005, 33(6):751-763.
    • (2005) Annals of Biomedical Engineering , vol.33 , Issue.6 , pp. 751-763
    • Hopenfeld, B.1    Stinstra, J.G.2    MacLeod, R.S.3
  • 15
    • 79551659953 scopus 로고    scopus 로고
    • Optimization of the electrode positions of multichannel ECG for the reconstruction of ischemic areas by solving the inverse electrocardiographic problem
    • Jiang Y., Qian C., Hanna R., Farina D., Dössel O. Optimization of the electrode positions of multichannel ECG for the reconstruction of ischemic areas by solving the inverse electrocardiographic problem. International Journal of Bioelectromagnetism 2009, 11(1):27-37.
    • (2009) International Journal of Bioelectromagnetism , vol.11 , Issue.1 , pp. 27-37
    • Jiang, Y.1    Qian, C.2    Hanna, R.3    Farina, D.4    Dössel, O.5
  • 16
    • 33748749612 scopus 로고    scopus 로고
    • Statistical inverse problems: discretization, model reduction and inverse crimes
    • Kaipio J., Somersalo E. Statistical inverse problems: discretization, model reduction and inverse crimes. Journal of Computational and Applied Mathematics 2007, 198(2):493-504.
    • (2007) Journal of Computational and Applied Mathematics , vol.198 , Issue.2 , pp. 493-504
    • Kaipio, J.1    Somersalo, E.2
  • 17
    • 0344352505 scopus 로고    scopus 로고
    • Source of electrocardiographic ST changes in subendocardial ischemia
    • Li D., Li C.Y., Yong A.C., Kilpatrick D. Source of electrocardiographic ST changes in subendocardial ischemia. Circulation Research 1998, 82:957-970.
    • (1998) Circulation Research , vol.82 , pp. 957-970
    • Li, D.1    Li, C.Y.2    Yong, A.C.3    Kilpatrick, D.4
  • 18
    • 58149120422 scopus 로고    scopus 로고
    • Heart disease and stroke statistics - 2010 update: a report from the american heart association
    • (On behalf of the American Heart Association Statistics Committee)
    • Lloyd-Jones D., et al. Heart disease and stroke statistics - 2010 update: a report from the american heart association. Circulation 2010, 121(7):e46-215. (On behalf of the American Heart Association Statistics Committee).
    • (2010) Circulation , vol.121 , Issue.7
    • Lloyd-Jones, D.1
  • 19
    • 35248895393 scopus 로고    scopus 로고
    • A linear system of partial differential equations modeling the resting potential of a heart with regional ischemia
    • MacLachlan M.C., Sundnes J., Skavhaug O., Lysaker M., Nielsen B.F., Tveito A. A linear system of partial differential equations modeling the resting potential of a heart with regional ischemia. Mathematical Biosciences 2007, 210(1):238-252.
    • (2007) Mathematical Biosciences , vol.210 , Issue.1 , pp. 238-252
    • MacLachlan, M.C.1    Sundnes, J.2    Skavhaug, O.3    Lysaker, M.4    Nielsen, B.F.5    Tveito, A.6
  • 21
    • 4143134140 scopus 로고    scopus 로고
    • A comparison of noninvasive reconstruction of epicardial versus transmembrane potentials in consideration of the null space
    • Messnarz B., Seger M., Modre R., Fischer G., Hanser F., Tilg B. A comparison of noninvasive reconstruction of epicardial versus transmembrane potentials in consideration of the null space. IEEE Transactions on Biomedical Engineering 2004, 51(9):1609-1618.
    • (2004) IEEE Transactions on Biomedical Engineering , vol.51 , Issue.9 , pp. 1609-1618
    • Messnarz, B.1    Seger, M.2    Modre, R.3    Fischer, G.4    Hanser, F.5    Tilg, B.6
  • 22
    • 1642580803 scopus 로고    scopus 로고
    • A new spatiotemporal regularization approach for reconstruction of cardiac transmembrane potential patterns
    • Messnarz B., Tilg B., Modre R., Fischer G., Hanser F. A new spatiotemporal regularization approach for reconstruction of cardiac transmembrane potential patterns. IEEE Transactions on Biomedical Engineering 2004, 51(2):273-281.
    • (2004) IEEE Transactions on Biomedical Engineering , vol.51 , Issue.2 , pp. 273-281
    • Messnarz, B.1    Tilg, B.2    Modre, R.3    Fischer, G.4    Hanser, F.5
  • 23
    • 36148952521 scopus 로고    scopus 로고
    • On the possibility for computing the transmembrane potential in the heart with a one shot method: An inverse problem
    • Nielsen B.F., Cai X., Lysaker M. On the possibility for computing the transmembrane potential in the heart with a one shot method: An inverse problem. Mathematical Biosciences 2007, 210(2):523-553.
    • (2007) Mathematical Biosciences , vol.210 , Issue.2 , pp. 523-553
    • Nielsen, B.F.1    Cai, X.2    Lysaker, M.3
  • 24
    • 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 B.F., 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 Computational Physics 2007, 220(2):772-790.
    • (2007) Journal of Computational Physics , vol.220 , Issue.2 , pp. 772-790
    • Nielsen, B.F.1    Lysaker, M.2    Tveito, A.3
  • 25
    • 33845903366 scopus 로고    scopus 로고
    • A comparison of monodomain and bidomain reaction-diffusion models for action potential propagation in the human heart
    • Potse M., Dube B., Richer J., Vinet A., Gulrajani R.M. A comparison of monodomain and bidomain reaction-diffusion models for action potential propagation in the human heart. IEEE Transactions on Biomedical Engineering 2006, 53(12):2425-2435.
    • (2006) IEEE Transactions on Biomedical Engineering , vol.53 , Issue.12 , pp. 2425-2435
    • Potse, M.1    Dube, B.2    Richer, J.3    Vinet, A.4    Gulrajani, R.M.5
  • 28
    • 64249130529 scopus 로고    scopus 로고
    • A computationally efficient method for determining the size and location of myocardial ischemia
    • Ruud T.S., Nielsen B.F., Lysaker M., Sundnes J. A computationally efficient method for determining the size and location of myocardial ischemia. IEEE Transactions on Biomedical Engineering 2009, 56(2):263-272.
    • (2009) IEEE Transactions on Biomedical Engineering , vol.56 , Issue.2 , pp. 263-272
    • Ruud, T.S.1    Nielsen, B.F.2    Lysaker, M.3    Sundnes, J.4
  • 30
    • 79551659351 scopus 로고    scopus 로고
    • On epicardial potential reconstruction using regularization schemes with the L1-norm data term
    • Shou G., Xia L., Liu F., Jiang M., Crozier S. On epicardial potential reconstruction using regularization schemes with the L1-norm data term. Physics in Medicine and Biology 2011, 56(1):57.
    • (2011) Physics in Medicine and Biology , vol.56 , Issue.1 , pp. 57
    • Shou, G.1    Xia, L.2    Liu, F.3    Jiang, M.4    Crozier, S.5
  • 33
    • 85190272184 scopus 로고    scopus 로고
    • Evaluating the effects of border zone approximations with subject specific ischemia models
    • World Congress on Medical Physics and Biomedical Engineering
    • D.J. Swenson, J.G. Stinstra, B.M. Burton, K.K. Aras, L. Healy, R.S. MacLeod, Evaluating the effects of border zone approximations with subject specific ischemia models, World Congress on Medical Physics and Biomedical Engineering, 2009.
    • (2009)
    • Swenson, D.J.1    Stinstra, J.G.2    Burton, B.M.3    Aras, K.K.4    Healy, L.5    MacLeod, R.S.6
  • 34
    • 0033295027 scopus 로고    scopus 로고
    • SDPT3-a Matlab software package for semidefinite programming
    • Toh K., Todd M., Tutuncu R. SDPT3-a Matlab software package for semidefinite programming. Optimization Methods and Software 1999, 11:545-581.
    • (1999) Optimization Methods and Software , vol.11 , pp. 545-581
    • Toh, K.1    Todd, M.2    Tutuncu, R.3
  • 35
    • 39549110399 scopus 로고    scopus 로고
    • On the implementation and usage of SDPT3 - a Matlab software package for semidefinite-quadratic-linear programming
    • Version 4.0
    • K. Toh, M. Todd, R. Tutuncu, On the implementation and usage of SDPT3 - a Matlab software package for semidefinite-quadratic-linear programming, Version 4.0, 2010.
    • (2010)
    • Toh, K.1    Todd, M.2    Tutuncu, R.3
  • 36
    • 84860655255 scopus 로고    scopus 로고
    • Image-based estimation of ventricular fiber orientations for personalized modeling of cardiac electrophysiology
    • Vadakkumpadan F., Arevalo H., Ceritoglu C., Miller M., Trayanova N. Image-based estimation of ventricular fiber orientations for personalized modeling of cardiac electrophysiology. IEEE Transactions on Medical Imaging 2012, 31(5):1051-1060.
    • (2012) IEEE Transactions on Medical Imaging , vol.31 , Issue.5 , pp. 1051-1060
    • Vadakkumpadan, F.1    Arevalo, H.2    Ceritoglu, C.3    Miller, M.4    Trayanova, N.5
  • 38
  • 39
    • 77950359471 scopus 로고    scopus 로고
    • Resolution strategies for the finite-element-based solution of the ECG inverse problem
    • Wang D., Kirby R.M., Johnson C.R. Resolution strategies for the finite-element-based solution of the ECG inverse problem. IEEE Transactions on Biomedical Engineering 2010, 57(2):220-237.
    • (2010) IEEE Transactions on Biomedical Engineering , vol.57 , Issue.2 , pp. 220-237
    • Wang, D.1    Kirby, R.M.2    Johnson, C.R.3
  • 40
    • 79956366048 scopus 로고    scopus 로고
    • Finite-element-based discretization and regularization strategies for 3D inverse electrocardiography
    • Wang D., Kirby R.M., Johnson C.R. Finite-element-based discretization and regularization strategies for 3D inverse electrocardiography. IEEE Transactions on Biomedical Engineering 2011, 58(6):1827-1838.
    • (2011) IEEE Transactions on Biomedical Engineering , vol.58 , Issue.6 , pp. 1827-1838
    • Wang, D.1    Kirby, R.M.2    Johnson, C.R.3
  • 41
    • 67651035078 scopus 로고    scopus 로고
    • An efficient primal-dual hybrid gradient algorithm for total variation image restoration
    • University of California, Los Angeles
    • M. Zhu, T. Chan, An efficient primal-dual hybrid gradient algorithm for total variation image restoration, Tech. Rep., Dept. of Math, University of California, Los Angeles, 2008.
    • (2008) Tech. Rep., Dept. of Math
    • Zhu, M.1    Chan, T.2
  • 42
    • 78650038085 scopus 로고    scopus 로고
    • Duality-based algorithms for total-variation-regularized image restoration
    • Zhu M., Wright S., Chan T. Duality-based algorithms for total-variation-regularized image restoration. Computational Optimization and Applications 2010, 47(3):377-400.
    • (2010) Computational Optimization and Applications , vol.47 , Issue.3 , pp. 377-400
    • Zhu, M.1    Wright, S.2    Chan, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.