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Volumn 57, Issue 9, 2010, Pages 2090-2098

An eikonal approach for the initiation of reentrant cardiac propagation in reactiondiffusion models

Author keywords

Cardiac electrical propagation; computational electrophysiology; eikonal equation; reaction diffusion system; reentry

Indexed keywords

ACTIVATION PATTERNS; CASE REPORTS; COMPUTATIONAL ELECTROPHYSIOLOGY; DIFFUSION FORMULATION; EIKONAL; EIKONAL APPROACH; EIKONAL EQUATION; EIKONAL MODELS; ELECTRICAL PROPAGATION; FINITE-ELEMENT; GLOBAL INFORMATIONS; INITIAL CONDITIONS; ISOCHRONES; MACRO SCALE; MICRO-SCALES; REACTION DIFFUSION SYSTEMS; REACTION-DIFFUSION MODELS; TRIANGULAR MESHES; WAVEFRONT COLLISIONS; WAVEFRONT PROPAGATION;

EID: 77955913768     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/TBME.2010.2051156     Document Type: Article
Times cited : (33)

References (32)
  • 2
    • 67650439002 scopus 로고    scopus 로고
    • Synchronizing computer simulations with measurement data for a case of atrial flutter
    • G. T. Lines, M. C. MacLachlan, S. Linge, and A. Tveito, "Synchronizing computer simulations with measurement data for a case of atrial flutter," Ann. Biomed. Eng., vol.37, no.7, pp. 1287-1293, 2009.
    • (2009) Ann. Biomed. Eng. , vol.37 , Issue.7 , pp. 1287-1293
    • Lines, G.T.1    MacLachlan, M.C.2    Linge, S.3    Tveito, A.4
  • 4
    • 77950102854 scopus 로고    scopus 로고
    • Modeling atrial arrhythmias: Impact on clinical diagnosis and therapies
    • Nov.
    • V. Jacquemet, L. Kappenberger, and C. S. Henriquez, "Modeling atrial arrhythmias: Impact on clinical diagnosis and therapies," IEEE Rev. Biomed. Eng., vol.1, pp. 94-114, Nov. 2008.
    • (2008) IEEE Rev. Biomed. Eng. , vol.1 , pp. 94-114
    • Jacquemet, V.1    Kappenberger, L.2    Henriquez, C.S.3
  • 5
    • 34247528491 scopus 로고    scopus 로고
    • Mechanism underlying initiation of paroxysmal atrial flutter/atrial fibrillation by ectopic foci: A simulation study
    • Y. Gong, F. Xie, K. M. Stein, A. Garfinkel, C. A. Culianu, B. B. Lerman, and D. J. Christini, "Mechanism underlying initiation of paroxysmal atrial flutter/atrial fibrillation by ectopic foci: A simulation study," Circulation, vol.115, no.16, pp. 2094-2102, 2007.
    • (2007) Circulation , vol.115 , Issue.16 , pp. 2094-2102
    • Gong, Y.1    Xie, F.2    Stein, K.M.3    Garfinkel, A.4    Culianu, C.A.5    Lerman, B.B.6    Christini, D.J.7
  • 7
    • 0036711476 scopus 로고    scopus 로고
    • Study of atrial arrhythmias in a computer model based on magnetic resonance images of human atria
    • N. Virag, V. Jacquemet, C. S. Henriquez, S. Zozor, O. Blanc, J. M. Vesin, E. Pruvot, and L. Kappenberger, "Study of atrial arrhythmias in a computer model based on magnetic resonance images of human atria," Chaos, vol.12, no.3, pp. 754-763, 2002.
    • (2002) Chaos , vol.12 , Issue.3 , pp. 754-763
    • Virag, N.1    Jacquemet, V.2    Henriquez, C.S.3    Zozor, S.4    Blanc, O.5    Vesin, J.M.6    Pruvot, E.7    Kappenberger, L.8
  • 8
    • 38349032975 scopus 로고    scopus 로고
    • Preventive ablation strategies in a biophysical model of atrial fibrillation based on realistic anatomical data
    • Feb.
    • M. Reumann, J. Bohnert, G. Seemann, B. Osswald, and O. Dossel, "Preventive ablation strategies in a biophysical model of atrial fibrillation based on realistic anatomical data," IEEE Trans. Biomed. Eng., vol.55, no.2, Pt 1, pp. 399-406, Feb. 2008.
    • (2008) IEEE Trans. Biomed. Eng. , vol.55 , Issue.2 PART 1 , pp. 399-406
    • Reumann, M.1    Bohnert, J.2    Seemann, G.3    Osswald, B.4    Dossel, O.5
  • 9
    • 0025026858 scopus 로고
    • Wave-front propagation in an activation model of the anisotropic cardiac tissue: Asymptotic analysis and numerical simulations
    • P. C. Franzone, L. Guerri, and S. Rovida, "Wave-front propagation in an activation model of the anisotropic cardiac tissue: Asymptotic analysis and numerical simulations," J. Math. Biol., vol.28, no.2, pp. 121-176, 1990.
    • (1990) J. Math. Biol. , vol.28 , Issue.2 , pp. 121-176
    • Franzone, P.C.1    Guerri, L.2    Rovida, S.3
  • 10
    • 0036706241 scopus 로고    scopus 로고
    • A finite element method for an eikonal equation model of myocardial excitation wavefront propagation
    • K. A. Tomlinson, P. J. Hunter, and A. J. Pullan, "A finite element method for an eikonal equation model of myocardial excitation wavefront propagation," SIAM J. Appl. Math., vol.63, no.1, pp. 324-350, 2002.
    • (2002) SIAM J. Appl. Math. , vol.63 , Issue.1 , pp. 324-350
    • Tomlinson, K.A.1    Hunter, P.J.2    Pullan, A.J.3
  • 12
    • 0002437983 scopus 로고    scopus 로고
    • Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
    • T. J. Barth and J. A. Sethian, "Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains," J. Comput. Phys., vol.145, no.1, pp. 1-40, 1998.
    • (1998) J. Comput. Phys. , vol.145 , Issue.1 , pp. 1-40
    • Barth, T.J.1    Sethian, J.A.2
  • 13
    • 34247377075 scopus 로고    scopus 로고
    • Fast sweeping methods for eikonal equations on triangular meshes
    • J. Qian, Y.-T. Zhang, and H.-K. Zhao, "Fast sweeping methods for eikonal equations on triangular meshes," SIAM J. Numer. Anal., vol.45, no.1, pp. 83-107, 2007.
    • (2007) SIAM J. Numer. Anal. , vol.45 , Issue.1 , pp. 83-107
    • Qian, J.1    Zhang, Y.-T.2    Zhao, H.-K.3
  • 14
    • 0036647104 scopus 로고    scopus 로고
    • Traveltime computation with the linearized eikonal equation for anisotropic media
    • T. Alkhalifah, "Traveltime computation with the linearized eikonal equation for anisotropic media," Geophys. Prospect., vol.50, no.4, pp. 373-382, 2002.
    • (2002) Geophys. Prospect. , vol.50 , Issue.4 , pp. 373-382
    • Alkhalifah, T.1
  • 17
    • 23844434456 scopus 로고    scopus 로고
    • Finite volume stiffnessmatrix for solving anisotropic cardiac propagation in 2-D and 3-D unstructured meshes
    • Aug.
    • V. Jacquemet and C. S. Henriquez, "Finite volume stiffnessmatrix for solving anisotropic cardiac propagation in 2-D and 3-D unstructured meshes," IEEE Trans. Biomed. Eng., vol.52, no.8, pp. 1490-1492, Aug. 2005.
    • (2005) IEEE Trans. Biomed. Eng. , vol.52 , Issue.8 , pp. 1490-1492
    • Jacquemet, V.1    Henriquez, C.S.2
  • 18
    • 38249022162 scopus 로고
    • Interpolation on a triangulated 3D surface
    • T. Oostendorp, A. van Oosterom, and G. Huiskamp, "Interpolation on a triangulated 3D surface," J. Comput. Phys., vol.80, no.2, pp. 331-343, 1989.
    • (1989) J. Comput. Phys. , vol.80 , Issue.2 , pp. 331-343
    • Oostendorp, T.1    Van Oosterom, A.2    Huiskamp, G.3
  • 19
    • 0000052788 scopus 로고
    • The use of multiple deflations in the numerical solution of singular systems of equations to potential theory
    • M. S. Lynn and W. P. Timlake, "The use of multiple deflations in the numerical solution of singular systems of equations to potential theory," SIAM. J. Numer. Anal., vol.5, pp. 303-322, 1968.
    • (1968) SIAM. J. Numer. Anal. , vol.5 , pp. 303-322
    • Lynn, M.S.1    Timlake, W.P.2
  • 20
    • 84940605935 scopus 로고    scopus 로고
    • Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator
    • (ser. Lecture Notes in Computer Science), M. C. Lin and D. Manocha, Eds. New York: Springer-Verlag, May (from the First ACM Workshop on Applied Computational Geometry.)
    • J. R. Shewchuk, "Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator," in Applied Computational Geometry: TowardsGeometric Engineering, vol.1148, (ser. Lecture Notes in Computer Science), M. C. Lin and D. Manocha, Eds. New York: Springer-Verlag, May 1996, pp. 203-222. (from the First ACM Workshop on Applied Computational Geometry.).
    • (1996) Applied Computational Geometry: TowardsGeometric Engineering , vol.1148 , pp. 203-222
    • Shewchuk, J.R.1
  • 21
    • 0025891531 scopus 로고
    • A model of the ventricular cardiac action potential
    • Jun.
    • C.-H. Luo and Y. Rudy, "A model of the ventricular cardiac action potential," Circ. Res., vol.68, no.6, pp. 1501-1526, Jun. 1991.
    • (1991) Circ. Res. , vol.68 , Issue.6 , pp. 1501-1526
    • Luo, C.-H.1    Rudy, Y.2
  • 22
    • 33750856807 scopus 로고    scopus 로고
    • Ionic mechanisms underlying human atrial action potential properties: Insights from a mathematical model
    • M. Courtemanche, R. J. Ramirez, and S. Nattel, "Ionic mechanisms underlying human atrial action potential properties: insights from a mathematical model," Amer. J. Physiol., vol.275, no.1, Pt 2, pp. H301-H321, 1998.
    • (1998) Amer. J. Physiol. , vol.275 , Issue.1 PART 2
    • Courtemanche, M.1    Ramirez, R.J.2    Nattel, S.3
  • 24
    • 33845899418 scopus 로고    scopus 로고
    • Analysis of electrocardiograms during atrial fibrillation.Abiophysical model approach
    • Nov./Dec.
    • V. Jacquemet, A. vanOosterom, J.M.Vesin, and L. Kappenberger, "Analysis of electrocardiograms during atrial fibrillation.Abiophysical model approach," IEEE Eng. Med. Biol. Mag., vol.25, no.6, pp. 79-88, Nov./Dec. 2006.
    • (2006) IEEE Eng. Med. Biol. Mag. , vol.25 , Issue.6 , pp. 79-88
    • Jacquemet, V.1    Van Oosterom, A.2    Vesin, J.M.3    Kappenberger, L.4
  • 25
    • 0003919106 scopus 로고    scopus 로고
    • 2nd, (ser. Interdisciplinary applied mathematics) New York: Springer-Verlag
    • J. P. Keener and J. Sneyd, Mathematical Physiology, 2nd, (ser. Interdisciplinary applied mathematics), vol.8. New York: Springer-Verlag, 2001.
    • (2001) Mathematical Physiology , vol.8
    • Keener, J.P.1    Sneyd, J.2
  • 27
    • 0036302669 scopus 로고    scopus 로고
    • Electrical refractory period restitution and spiral wave reentry in simulated cardiac tissue
    • F. Xie, Z. Qu, A. Garfinkel, and J. N. Weiss, "Electrical refractory period restitution and spiral wave reentry in simulated cardiac tissue," Amer. J. Physiol. Heart Circ. Physiol., vol.283, no.1, pp. H448-H460, 2002.
    • (2002) Amer. J. Physiol. Heart Circ. Physiol. , vol.283 , Issue.1
    • Xie, F.1    Qu, Z.2    Garfinkel, A.3    Weiss, J.N.4
  • 28
    • 0242608365 scopus 로고    scopus 로고
    • Atrial excitation assuming uniform propagation
    • P. M. van Dam and A. van Oosterom, "Atrial excitation assuming uniform propagation," J. Cardiovasc. Electrophysiol., vol.14, no.10(Suppl.), pp. S166-S171, 2003.
    • (2003) J. Cardiovasc. Electrophysiol. , vol.14 , Issue.10 SUPPL.
    • Van Dam, P.M.1    Van Oosterom, A.2
  • 29
    • 0026086480 scopus 로고
    • An eikonal-curvature equation for action potential propagation in myocardium
    • J. P. Keener, "An eikonal-curvature equation for action potential propagation in myocardium," J. Math. Biol., vol.29, no.7, pp. 629-651, 1991.
    • (1991) J. Math. Biol. , vol.29 , Issue.7 , pp. 629-651
    • Keener, J.P.1
  • 30
    • 7444262769 scopus 로고    scopus 로고
    • Multiarm spirals in a two-dimensional cardiac substrate
    • N. Bursac, F. Aguel, and L. Tung, "Multiarm spirals in a two-dimensional cardiac substrate," Proc. Nat. Acad. Sci. USA, vol.101, no.43, pp. 15 530-1-15 530-4.
    • Proc. Nat. Acad. Sci. USA , vol.101 , Issue.43 , pp. 155301-155304
    • Bursac, N.1    Aguel, F.2    Tung, L.3
  • 31
    • 24344438269 scopus 로고    scopus 로고
    • Genesis of the P wave: Atrial signals as generated by the equivalent double layer source model
    • A. van Oosterom and V. Jacquemet, "Genesis of the P wave: Atrial signals as generated by the equivalent double layer source model," Europace, vol.7, (Suppl 2), pp. 21-29, 2005.
    • (2005) Europace , vol.7 , Issue.SUPPL. 2 , pp. 21-29
    • Van Oosterom, A.1    Jacquemet, V.2
  • 32
    • 0742307477 scopus 로고    scopus 로고
    • ECGSIM: An interactive tool for studying the genesis of QRST waveforms
    • A. van Oosterom and T. F. Oostendorp, "ECGSIM: An interactive tool for studying the genesis of QRST waveforms," Heart, vol.90, no.2, pp. 165-168, 2004.
    • (2004) Heart , vol.90 , Issue.2 , pp. 165-168
    • Van Oosterom, A.1    Oostendorp, T.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.