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Volumn 210, Issue 2, 2007, Pages 523-553

On the possibility for computing the transmembrane potential in the heart with a one shot method: An inverse problem

Author keywords

Bidomain equations; Inverse problem; One shot method; Transmembrane potential

Indexed keywords

BIOELECTRIC POTENTIALS; CARDIOLOGY; INVERSE PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 36148952521     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2007.06.003     Document Type: Article
Times cited : (30)

References (61)
  • 2
    • 0024254770 scopus 로고
    • The inverse problem in electrocardiography: solutions in terms of epicardial potentials
    • Rudy Y., and Messinger-Rapport B.J. The inverse problem in electrocardiography: solutions in terms of epicardial potentials. Crit. Rev. Biomed. Eng. 16 (1988) 215
    • (1988) Crit. Rev. Biomed. Eng. , vol.16 , pp. 215
    • Rudy, Y.1    Messinger-Rapport, B.J.2
  • 3
    • 0022360366 scopus 로고
    • A mathematical procedure for solving the inverse potential problem of electrocardiography: analysis of the time-space accuracy from in vitro experimental data
    • Franzone C.P., Guerri L., Tentonia S., Viganotti C., and Baruffi S. A mathematical procedure for solving the inverse potential problem of electrocardiography: analysis of the time-space accuracy from in vitro experimental data. Math. Biosci. 77 (1985) 353
    • (1985) Math. Biosci. , vol.77 , pp. 353
    • Franzone, C.P.1    Guerri, L.2    Tentonia, S.3    Viganotti, C.4    Baruffi, S.5
  • 4
    • 0031172555 scopus 로고    scopus 로고
    • A new method for myocardial activation imaging
    • Huiskamp G., and Greensite F. A new method for myocardial activation imaging. IEEE Trans. Biomed. Eng. 44 6 (1997) 433
    • (1997) IEEE Trans. Biomed. Eng. , vol.44 , Issue.6 , pp. 433
    • Huiskamp, G.1    Greensite, F.2
  • 6
    • 15144354136 scopus 로고    scopus 로고
    • Forward and inverse problems of electrocardiography
    • Gulrajani R.M. Forward and inverse problems of electrocardiography. IEEE Eng. Med. Biol. 17 5 (1998) 84
    • (1998) IEEE Eng. Med. Biol. , vol.17 , Issue.5 , pp. 84
    • Gulrajani, R.M.1
  • 7
    • 4243975588 scopus 로고    scopus 로고
    • Inverse problem of electro- and magnetocardiography: review and recent progress
    • Dössel O. Inverse problem of electro- and magnetocardiography: review and recent progress. Int. J. Bioelectromagnet. 2 2 (2000)
    • (2000) Int. J. Bioelectromagnet. , vol.2 , Issue.2
    • Dössel, O.1
  • 8
    • 0036786243 scopus 로고    scopus 로고
    • Noninvasive myocardial activation time imaging: a novel inverse algorithm applied to clinical ECG mapping data
    • Modre R., Tilg B., Fischer G., and Wach P. Noninvasive myocardial activation time imaging: a novel inverse algorithm applied to clinical ECG mapping data. IEEE Trans. Biomed. Eng. 49 10 (2002) 1153
    • (2002) IEEE Trans. Biomed. Eng. , vol.49 , Issue.10 , pp. 1153
    • Modre, R.1    Tilg, B.2    Fischer, G.3    Wach, P.4
  • 10
    • 0031907090 scopus 로고    scopus 로고
    • Recent progress in inverse problems in electrocardiology
    • MacLeod R.S., and Brooks D.H. Recent progress in inverse problems in electrocardiology. IEEE Eng. Med. Biol. 17 1 (1998) 73
    • (1998) IEEE Eng. Med. Biol. , vol.17 , Issue.1 , pp. 73
    • MacLeod, R.S.1    Brooks, D.H.2
  • 11
    • 0026465429 scopus 로고
    • The electrocardiographic inverse problem
    • Rudy Y., and Oster H.S. The electrocardiographic inverse problem. Crit. Rev. Biomed. Eng. 20 (1992) 25
    • (1992) Crit. Rev. Biomed. Eng. , vol.20 , pp. 25
    • Rudy, Y.1    Oster, H.S.2
  • 12
    • 0031983288 scopus 로고    scopus 로고
    • An improved method for estimating epicardial potentials from the body surface
    • Greensite F., and Huiskamp G. An improved method for estimating epicardial potentials from the body surface. IEEE Trans. Biomed. Eng. 45 1 (1998) 98
    • (1998) IEEE Trans. Biomed. Eng. , vol.45 , Issue.1 , pp. 98
    • Greensite, F.1    Huiskamp, G.2
  • 14
    • 0037283921 scopus 로고    scopus 로고
    • Effects of experimental and modeling errors on electrocardiolgraphic inverse formulations
    • Cheng L.K., Bodley J.M., and Pullan A.J. Effects of experimental and modeling errors on electrocardiolgraphic inverse formulations. IEEE Trans. Biomed. Eng. 50 1 (2003) 23
    • (2003) IEEE Trans. Biomed. Eng. , vol.50 , Issue.1 , pp. 23
    • Cheng, L.K.1    Bodley, J.M.2    Pullan, A.J.3
  • 15
    • 16444364384 scopus 로고    scopus 로고
    • Challenges facing validation of noninvasive electrical imaging of the heart
    • Nash M.P., and Pullan A.J. Challenges facing validation of noninvasive electrical imaging of the heart. Ann. Noninvas. Electrocardiol. 10 1 (2005) 73
    • (2005) Ann. Noninvas. Electrocardiol. , vol.10 , Issue.1 , pp. 73
    • Nash, M.P.1    Pullan, A.J.2
  • 16
    • 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., and Hanser F. A new spatiotemporal regularization approach for reconstruction of cardiac transmembrane potential patterns. IEEE Trans. Biomed. Eng. 51 2 (2004) 273
    • (2004) IEEE Trans. Biomed. Eng. , vol.51 , Issue.2 , pp. 273
    • Messnarz, B.1    Tilg, B.2    Modre, R.3    Fischer, G.4    Hanser, F.5
  • 18
    • 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., and Tilg B. A comparison of noninvasive reconstruction of epicardial versus transmembrane potentials in consideration of the null space. IEEE Trans. Biomed. Eng. 51 9 (2004) 1609
    • (2004) IEEE Trans. Biomed. Eng. , vol.51 , Issue.9 , pp. 1609
    • Messnarz, B.1    Seger, M.2    Modre, R.3    Fischer, G.4    Hanser, F.5    Tilg, B.6
  • 19
    • 0141733113 scopus 로고    scopus 로고
    • Noninvasive imaging of cardiac transmembrane potentials within three-dimensional myocardium by means of a realistic geometry anisotropic heart model
    • He B., Li G., and Zhang X. Noninvasive imaging of cardiac transmembrane potentials within three-dimensional myocardium by means of a realistic geometry anisotropic heart model. IEEE Trans. Biomed. Eng. 50 10 (2003) 1190
    • (2003) IEEE Trans. Biomed. Eng. , vol.50 , Issue.10 , pp. 1190
    • He, B.1    Li, G.2    Zhang, X.3
  • 20
    • 36148957584 scopus 로고    scopus 로고
    • O. Skipa, Linear inverse problem of electrocardiography: epicardial potentials and transmembrane voltages. Ph.D. thesis, University of Karlsruhe, Helmesverlag Karlsruhe, 2004.
  • 21
    • 85014670502 scopus 로고    scopus 로고
    • Towards a level set framework for infarction modeling: An inverse problem
    • Lysaker O.M., and Nielsen B.F. Towards a level set framework for infarction modeling: An inverse problem. Int. J. Numer. Anal. Model. 3 4 (2006) 377
    • (2006) Int. J. Numer. Anal. Model. , vol.3 , Issue.4 , pp. 377
    • Lysaker, O.M.1    Nielsen, B.F.2
  • 22
    • 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 O.M., and Tveito A. On the use of the resting potential and level set methods for identifying ischemic heart disease; an inverse problem. J. Comput. Phys. 220 2 (2007) 772
    • (2007) J. Comput. Phys. , vol.220 , Issue.2 , pp. 772
    • Nielsen, B.F.1    Lysaker, O.M.2    Tveito, A.3
  • 23
    • 36148957959 scopus 로고    scopus 로고
    • L. Tung, A Bidomain model for describing ischemic myocardial D-C potentials. Ph.D. thesis, MIT, Cambridge, MA, 1978.
  • 24
    • 0017370379 scopus 로고
    • Reconstruction of the action potential of ventricular myocardial fibres
    • Beeler G.W., and Reuter H. Reconstruction of the action potential of ventricular myocardial fibres. J. Physiol. 268 (1977) 177
    • (1977) J. Physiol. , vol.268 , pp. 177
    • Beeler, G.W.1    Reuter, H.2
  • 25
    • 0022422465 scopus 로고
    • A model of cardiac electrical activity incoportating ionic pumps and concentration changes
    • DiFrancesco D., and Noble D. A model of cardiac electrical activity incoportating ionic pumps and concentration changes. Phil. Trans. R. Soc. Lond. Ser. B, Biol. Sci. 307 (1985) 353
    • (1985) Phil. Trans. R. Soc. Lond. Ser. B, Biol. Sci. , vol.307 , pp. 353
    • DiFrancesco, D.1    Noble, D.2
  • 26
    • 0025891531 scopus 로고
    • A model of the ventricular cardiac action potential: Depolarisation, repolarisation, and their interaction
    • Luo C.H., and Rudy Y. A model of the ventricular cardiac action potential: Depolarisation, repolarisation, and their interaction. Circ. Res. 68 (1991) 1501
    • (1991) Circ. Res. , vol.68 , pp. 1501
    • Luo, C.H.1    Rudy, Y.2
  • 27
    • 0028233422 scopus 로고
    • A dynamic model of the cardiac ventricular action potenial
    • Luo C.H., and Rudy Y. A dynamic model of the cardiac ventricular action potenial. Circ. Res. 74 (1994) 1071
    • (1994) Circ. Res. , vol.74 , pp. 1071
    • Luo, C.H.1    Rudy, Y.2
  • 28
    • 0033583266 scopus 로고    scopus 로고
    • Mechanisms of altered excitation-contraction coupling in canine tachycardia-induced heart failure, II, model studies
    • Winslow R.L., Rice J., Jafri S., Marban E., and O'Rourke B. Mechanisms of altered excitation-contraction coupling in canine tachycardia-induced heart failure, II, model studies. Circ. Res. 84 (1999) 571
    • (1999) Circ. Res. , vol.84 , pp. 571
    • Winslow, R.L.1    Rice, J.2    Jafri, S.3    Marban, E.4    O'Rourke, B.5
  • 30
    • 0032026583 scopus 로고    scopus 로고
    • Validation of three-dimensional conduction models using experimental mapping: are we getting closer?
    • Muzikant A.L., and Henriquez C.S. Validation of three-dimensional conduction models using experimental mapping: are we getting closer?. Prog. Biophys. Mol. Biol. 69 2 (1998) 205
    • (1998) Prog. Biophys. Mol. Biol. , vol.69 , Issue.2 , pp. 205
    • Muzikant, A.L.1    Henriquez, C.S.2
  • 31
    • 0036629466 scopus 로고    scopus 로고
    • Region specific modeling of cardiac muscle: Comparison of simulated and experimental potentials
    • Muzikant A.L., Hsu E.W., Wolf P.D., and Henriquez C.S. Region specific modeling of cardiac muscle: Comparison of simulated and experimental potentials. Ann. Biomed. Eng. 30 7 (2002) 867
    • (2002) Ann. Biomed. Eng. , vol.30 , Issue.7 , pp. 867
    • Muzikant, A.L.1    Hsu, E.W.2    Wolf, P.D.3    Henriquez, C.S.4
  • 32
    • 0029828721 scopus 로고    scopus 로고
    • Incomplete reentry epicardial breakthrough patterns during atrial fibrillation in the sheep heart
    • Gray R.A., Pertsov A.M., and Jalife J. Incomplete reentry epicardial breakthrough patterns during atrial fibrillation in the sheep heart. Circulation 94 10 (1996) 2649
    • (1996) Circulation , vol.94 , Issue.10 , pp. 2649
    • Gray, R.A.1    Pertsov, A.M.2    Jalife, J.3
  • 33
    • 0344352505 scopus 로고    scopus 로고
    • Source of electrocardiographic ST changes in subendocardial ischemia
    • Li D., Li C.Y., Yong A.C., and Kilpatrick D. Source of electrocardiographic ST changes in subendocardial ischemia. Circ. Res. 82 (1998) 957
    • (1998) Circ. Res. , vol.82 , pp. 957
    • Li, D.1    Li, C.Y.2    Yong, A.C.3    Kilpatrick, D.4
  • 34
    • 0035200461 scopus 로고    scopus 로고
    • The importance of anisotropy in modeling ST segment shift in subendocardial ischaemia
    • Johnston P.R., Kilpatrick D., and Li C.Y. The importance of anisotropy in modeling ST segment shift in subendocardial ischaemia. IEEE Trans. Biomed. Eng. 48 (2001) 1366
    • (2001) IEEE Trans. Biomed. Eng. , vol.48 , pp. 1366
    • Johnston, P.R.1    Kilpatrick, D.2    Li, C.Y.3
  • 35
    • 0142116426 scopus 로고    scopus 로고
    • A cylindrical model for studying subendocardial ischemia in the left ventricle
    • Johnston P.R. A cylindrical model for studying subendocardial ischemia in the left ventricle. Math. Biosci. 186 1 (2003) 43
    • (2003) Math. Biosci. , vol.186 , Issue.1 , pp. 43
    • Johnston, P.R.1
  • 37
    • 0034230437 scopus 로고    scopus 로고
    • Increasing the computational efficiency of a bidomain model of defibrillation using a time-dependent activating function
    • Skouibine K., and Krassowska W. Increasing the computational efficiency of a bidomain model of defibrillation using a time-dependent activating function. Ann. Biomed. Eng. 28 (2000) 772
    • (2000) Ann. Biomed. Eng. , vol.28 , pp. 772
    • Skouibine, K.1    Krassowska, W.2
  • 38
    • 33746038887 scopus 로고    scopus 로고
    • On the computational complexity of the bidomain and the monodomain models of electrophysiology
    • Sundnes J., Nielsen B.F., Mardal K.A., Cai X., Lines G.T., and Tveito A. On the computational complexity of the bidomain and the monodomain models of electrophysiology. Ann. Biomed. Eng. 34 7 (2006) 1088
    • (2006) Ann. Biomed. Eng. , vol.34 , Issue.7 , pp. 1088
    • Sundnes, J.1    Nielsen, B.F.2    Mardal, K.A.3    Cai, X.4    Lines, G.T.5    Tveito, A.6
  • 48
    • 36148966257 scopus 로고    scopus 로고
    • Calculus of variations. http://en.wikipedia.org/wiki/calculus_of_variations.
  • 51
    • 36148938004 scopus 로고    scopus 로고
    • The National Library of Medicine's Visible Human Project. http://www.nlm.nih.gov/research/visible/visible_human.html.
  • 52
    • 0024572263 scopus 로고
    • Dielectric properties of tissues and biological materials: a critical review
    • Foster K.R., and Schwan H.P. Dielectric properties of tissues and biological materials: a critical review. Crit. Rev. Biomed. Eng. 17 (1989) 25
    • (1989) Crit. Rev. Biomed. Eng. , vol.17 , pp. 25
    • Foster, K.R.1    Schwan, H.P.2
  • 53
    • 36148981543 scopus 로고    scopus 로고
    • J. Sundnes, Modeling the electrophysiology of ischemic ventricular cells, Technical report, Simula Research Laboratory, 2004.
  • 55
    • 7044220418 scopus 로고    scopus 로고
    • Mechanism for ST depression associated with contiguous subendocardial ischemia
    • Hopenfeld B., Stinstra J.G., and Macleod R.S. Mechanism for ST depression associated with contiguous subendocardial ischemia. J. Cardiovasc. Electrophysiol. 15 (2004) 1200
    • (2004) J. Cardiovasc. Electrophysiol. , vol.15 , pp. 1200
    • Hopenfeld, B.1    Stinstra, J.G.2    Macleod, R.S.3
  • 56
    • 36148982350 scopus 로고    scopus 로고
    • Pearson product-moment correlation coefficient http://en.wikipedia.org/wiki/pearson_product-moment_correlation_coefficie.
  • 57
    • 0017262178 scopus 로고
    • Directional differences of impulse spread in trabecular muscle from mammalian heart
    • Clerc L. Directional differences of impulse spread in trabecular muscle from mammalian heart. J. Physiol. 255 2 (1976) 335
    • (1976) J. Physiol. , vol.255 , Issue.2 , pp. 335
    • Clerc, L.1
  • 58
    • 0020045296 scopus 로고
    • Effect of tissue anisotropy on extracellular potential fields in canine myocardium in situ
    • Roberts D.E., and Scher A.M. Effect of tissue anisotropy on extracellular potential fields in canine myocardium in situ. Circ. Res. 50 3 (1982) 342
    • (1982) Circ. Res. , vol.50 , Issue.3 , pp. 342
    • Roberts, D.E.1    Scher, A.M.2
  • 59
    • 0027312098 scopus 로고
    • Spread of excitation in a myocardial volume: Simulation studies in a model of anisotropic ventricular muscle activated by point stimulation
    • Franzone P.C., Guerri L., and Taccardi B. Spread of excitation in a myocardial volume: Simulation studies in a model of anisotropic ventricular muscle activated by point stimulation. J. Cardiovasc. Electrophysiol. 4 2 (1993) 144
    • (1993) J. Cardiovasc. Electrophysiol. , vol.4 , Issue.2 , pp. 144
    • Franzone, P.C.1    Guerri, L.2    Taccardi, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.