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Volumn 90, Issue 7, 2006, Pages 2258-2269

Conditions for propagation and block of excitation in an asymptotic model of atrial tissue

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ARTICLE; CRITERION VARIABLE; HEART MUSCLE CELL; MOLECULAR MODEL; STANDARDIZATION; WAVEFORM;

EID: 33646203778     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1529/biophysj.105.072637     Document Type: Article
Times cited : (29)

References (52)
  • 1
    • 49949132623 scopus 로고
    • Spread of excitation in an inhomogeneous medium (state similar to cardiac fibrillation)
    • Krinsky, V. I. 1966. Spread of excitation in an inhomogeneous medium (state similar to cardiac fibrillation). Biofizika. 11:776-784.
    • (1966) Biofizika , vol.11 , pp. 776-784
    • Krinsky, V.I.1
  • 2
    • 0001248321 scopus 로고
    • On the multiple wavelet hypothesis of atrial fibrillation
    • Moe, G. K. 1962. On the multiple wavelet hypothesis of atrial fibrillation. Arch. Int. Pharmacodyn. Ther. 140:183-188.
    • (1962) Arch. Int. Pharmacodyn. Ther. , vol.140 , pp. 183-188
    • Moe, G.K.1
  • 3
    • 0034623782 scopus 로고    scopus 로고
    • Ventricular fibrillation: How do we stop the waves from breaking?
    • Weiss, J. N., P. S. Chen, Z. Qu, H. S. Karagueuzian, and A. Garfinkel. 2000. Ventricular fibrillation: How do we stop the waves from breaking? Circ. Res. 87:1103-1107.
    • (2000) Circ. Res. , vol.87 , pp. 1103-1107
    • Weiss, J.N.1    Chen, P.S.2    Qu, Z.3    Karagueuzian, H.S.4    Garfinkel, A.5
  • 4
    • 0142127768 scopus 로고    scopus 로고
    • Ventricular fibrillation: Evolution of the multiple-wavelet hypothesis
    • Panfilov, A., and A. Pertsov. 2001. Ventricular fibrillation: evolution of the multiple-wavelet hypothesis. Philos. Trans. R. Soc. Lond. A. 359:1315-1325.
    • (2001) Philos. Trans. R. Soc. Lond. A , vol.359 , pp. 1315-1325
    • Panfilov, A.1    Pertsov, A.2
  • 5
    • 18844479760 scopus 로고    scopus 로고
    • Basic mechanisms of cardiac impulse propagation and associated arrhythmias
    • Kléber, A. G., and Y. Rudy. 2004. Basic mechanisms of cardiac impulse propagation and associated arrhythmias. Physiol. Rev. 84: 431-488.
    • (2004) Physiol. Rev. , vol.84 , pp. 431-488
    • Kléber, A.G.1    Rudy, Y.2
  • 6
    • 33750856807 scopus 로고    scopus 로고
    • Ionic mechanisms underlying human atrial action potential properties: Insights from a mathematical model
    • Courtemanche, M., R. Ramirez, and S. Nattel. 1998. Ionic mechanisms underlying human atrial action potential properties: insights from a mathematical model. Am. J. Physiol. 275:H301-H321.
    • (1998) Am. J. Physiol. , vol.275
    • Courtemanche, M.1    Ramirez, R.2    Nattel, S.3
  • 8
    • 0000401026 scopus 로고
    • The heartbeat considered as a relaxation oscillation, and an electrical model of the heart
    • van der Pol, B., and J. van der Mark. 1928. The heartbeat considered as a relaxation oscillation, and an electrical model of the heart. Lond. Edinb. Dublin Phil. Mag. J. Sci. 6:763-775.
    • (1928) Lond. Edinb. Dublin Phil. Mag. J. Sci. , vol.6 , pp. 763-775
    • Van Der Pol, B.1    Van Der Mark, J.2
  • 9
    • 0004035936 scopus 로고    scopus 로고
    • Modelling propagation in excitable media
    • A. V. Holden, and A. V. Panfilov, editors. Wiley, New York
    • Holden, A. V., and A. V. Panfilov. 1997. Modelling propagation in excitable media. In Computational Biology of the Heart. A. V. Holden, and A. V. Panfilov, editors. Wiley, New York. 65-99.
    • (1997) Computational Biology of the Heart , pp. 65-99
    • Holden, A.V.1    Panfilov, A.V.2
  • 10
    • 53349102813 scopus 로고
    • Impulses and physiological states in theoretical models of nerve membrane
    • FitzHugh, R. A. 1961. Impulses and physiological states in theoretical models of nerve membrane. Biophys. J. 1:445-466.
    • (1961) Biophys. J. , vol.1 , pp. 445-466
    • FitzHugh, R.A.1
  • 11
    • 6344238035 scopus 로고
    • An active pulse transmission line simulating nerve axon
    • Nagumo, J., S. Arimoto, and S. Yoshizawa. 1962. An active pulse transmission line simulating nerve axon. Proc. IRE. 50:2061-2070.
    • (1962) Proc. IRE , vol.50 , pp. 2061-2070
    • Nagumo, J.1    Arimoto, S.2    Yoshizawa, S.3
  • 12
    • 0000157466 scopus 로고    scopus 로고
    • A simple two-variable model of cardiac excitation
    • Aliev, R. R., and A. V. Panfilov. 1996. A simple two-variable model of cardiac excitation. Chaos Solitons Fractals. 7:293-301.
    • (1996) Chaos Solitons Fractals , vol.7 , pp. 293-301
    • Aliev, R.R.1    Panfilov, A.V.2
  • 13
    • 33244469859 scopus 로고
    • Spiral waves in active media. Reverberator in the FitzHugh-Nagumo model
    • M. T. Grekhova, editor. IPF, Gorky, Russia. in Russian
    • Pertsov, A. M., and A. V. Panfilov. 1981. Spiral waves in active media. Reverberator in the FitzHugh-Nagumo model. In Autowave Processes in Systems with Diffusion. M. T. Grekhova, editor. IPF, Gorky, Russia. 77-84 (in Russian).
    • (1981) Autowave Processes in Systems with Diffusion , pp. 77-84
    • Pertsov, A.M.1    Panfilov, A.V.2
  • 14
    • 23544474504 scopus 로고
    • A model for fast computer simulation of waves in excitable media
    • Barkley, D. 1991. A model for fast computer simulation of waves in excitable media. Physica D. 49:61-70.
    • (1991) Physica D , vol.49 , pp. 61-70
    • Barkley, D.1
  • 15
    • 33749361692 scopus 로고
    • Varieties of spiral wave behavior in excitable media
    • Winfree, A. T. 1991. Varieties of spiral wave behavior in excitable media. Chaos. 1:303-334.
    • (1991) Chaos , vol.1 , pp. 303-334
    • Winfree, A.T.1
  • 16
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in nerve
    • Hodgkin, A., and A. Huxley. 1952. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117:500-544.
    • (1952) J. Physiol. , vol.117 , pp. 500-544
    • Hodgkin, A.1    Huxley, A.2
  • 17
    • 36949064203 scopus 로고
    • Cardiac action and pacemaker potentials based on the Hodgkin-Huxley equations
    • Noble, D. 1960. Cardiac action and pacemaker potentials based on the Hodgkin-Huxley equations. Nature. 188:495-497.
    • (1960) Nature , vol.188 , pp. 495-497
    • Noble, D.1
  • 18
    • 73849164199 scopus 로고
    • A modification of the Hodgkin-Huxley equations applicable to Purkinje fibre action and pace-maker potentials
    • Noble, D. 1962. A modification of the Hodgkin-Huxley equations applicable to Purkinje fibre action and pace-maker potentials. J. Physiol. 160:317-352.
    • (1962) J. Physiol. , vol.160 , pp. 317-352
    • Noble, D.1
  • 21
    • 0028242153 scopus 로고
    • Dynamics of abnormal pacemaking activity in cardiac Purkinje fibers
    • Varghese, A., and R. L. Winslow. 1994. Dynamics of abnormal pacemaking activity in cardiac Purkinje fibers. J. Theor. Biol. 168: 407-420.
    • (1994) J. Theor. Biol. , vol.168 , pp. 407-420
    • Varghese, A.1    Winslow, R.L.2
  • 22
    • 0017370379 scopus 로고
    • Reconstruction of the action potential of ventricular myocardial fibres
    • Beeler, G. W., and H. Reuter. 1977. Reconstruction of the action potential of ventricular myocardial fibres. J. Physiol. 268:177-210.
    • (1977) J. Physiol. , vol.268 , pp. 177-210
    • Beeler, G.W.1    Reuter, H.2
  • 23
    • 0028233422 scopus 로고
    • A dynamic model of the cardiac ventricular action potential. I. Simulations of ionic currents and concentration changes
    • Luo, C.-H., and Y. Rudy. 1994. A dynamic model of the cardiac ventricular action potential. I. Simulations of ionic currents and concentration changes. Circ. Res. 74:1071-1096.
    • (1994) Circ. Res. , vol.74 , pp. 1071-1096
    • Luo, C.-H.1    Rudy, Y.2
  • 24
    • 0030185894 scopus 로고    scopus 로고
    • Mechanosensitive connective tissue: Potential influence on heart rhythm
    • Kohl, P., and D. Noble. 1996. Mechanosensitive connective tissue: potential influence on heart rhythm. Cardiovasc. Res. 32:62-68.
    • (1996) Cardiovasc. Res. , vol.32 , pp. 62-68
    • Kohl, P.1    Noble, D.2
  • 25
    • 0034872993 scopus 로고    scopus 로고
    • Computational models of normal and abnormal action potential propagation in cardiac tissue: Linking experimental and clinical cardiology
    • Clayton, R. H. 2001. Computational models of normal and abnormal action potential propagation in cardiac tissue: linking experimental and clinical cardiology. Physiol. Meas. 22:R15-R34.
    • (2001) Physiol. Meas. , vol.22
    • Clayton, R.H.1
  • 26
    • 0001976781 scopus 로고    scopus 로고
    • Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation
    • Fenton, F., and A. Karma. 1998. Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: filament instability and fibrillation. Chaos. 8:20-47.
    • (1998) Chaos , vol.8 , pp. 20-47
    • Fenton, F.1    Karma, A.2
  • 27
    • 0036086781 scopus 로고    scopus 로고
    • A computationally efficient electrophysiological model of human ventricular cells
    • Bernus, O., R. Wilders, W. Zemlin, H. Verschelde, and A. V. Panfilov. 2002. A computationally efficient electrophysiological model of human ventricular cells. Am. J. Physiol. 282:H2296-H2308.
    • (2002) Am. J. Physiol. , vol.282
    • Bernus, O.1    Wilders, R.2    Zemlin, W.3    Verschelde, H.4    Panfilov, A.V.5
  • 28
    • 45449123944 scopus 로고
    • Singular perturbation theory of traveling waves in excitable media
    • Tyson, J. J., and J. P. Keener. 1988. Singular perturbation theory of traveling waves in excitable media. Physica D. 32:327-361.
    • (1988) Physica D , vol.32 , pp. 327-361
    • Tyson, J.J.1    Keener, J.P.2
  • 29
    • 0000253608 scopus 로고
    • Pattern formation in reacting and diffusing systems
    • Fife, P. C. 1976. Pattern formation in reacting and diffusing systems. J. Chem. Phys. 64:554-564.
    • (1976) J. Chem. Phys. , vol.64 , pp. 554-564
    • Fife, P.C.1
  • 31
    • 18744392564 scopus 로고    scopus 로고
    • Dissipation of the excitation wavefronts
    • Biktashev, V. 2002. Dissipation of the excitation wavefronts. Phys. Rev. Lett. 89:168102.
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 168102
    • Biktashev, V.1
  • 32
    • 84891949264 scopus 로고    scopus 로고
    • Comparison of asymptotics of heart and nerve excitability
    • Suckley, R., and V. Biktashev. 2003. Comparison of asymptotics of heart and nerve excitability. Phys. Rev. E. 68:011902.
    • (2003) Phys. Rev. E , vol.68 , pp. 011902
    • Suckley, R.1    Biktashev, V.2
  • 33
    • 19644401097 scopus 로고    scopus 로고
    • Non-Tikhonov asymptotic properties of cardiac excitability
    • Biktashev, V., and R. Suckley. 2004. Non-Tikhonov asymptotic properties of cardiac excitability. Phys. Rev. Lett. 93:168103.
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 168103
    • Biktashev, V.1    Suckley, R.2
  • 36
    • 0028116189 scopus 로고
    • Excitability and repolarization in an ionic model of the cardiac cell membrane
    • Vinet, A., and F. Roberge. 1994a. Excitability and repolarization in an ionic model of the cardiac cell membrane. J. Theor. Biol. 170:183-199.
    • (1994) J. Theor. Biol. , vol.170 , pp. 183-199
    • Vinet, A.1    Roberge, F.2
  • 38
    • 0036302669 scopus 로고    scopus 로고
    • Electrical refractory period restitution and spiral wave reentry in simulated cardiac tissue
    • Xie, F., Z. Qu, A. Garfinkel, and J. N. Weiss. 2002. Electrical refractory period restitution and spiral wave reentry in simulated cardiac tissue. Am. J. Physiol. Heart Circ. Physiol. 283:H448-H460.
    • (2002) Am. J. Physiol. Heart Circ. Physiol. , vol.283
    • Xie, F.1    Qu, Z.2    Garfinkel, A.3    Weiss, J.N.4
  • 41
    • 0015679119 scopus 로고
    • Analysis of equations of excitable membranes - III. Membrane of the Purkinje fibre. Reduction of the Noble equations to a second order system. Analysis of automation by the graphs of zero isoclines
    • Krinsky, V. I., and Y. M. Kokoz. 1973. Analysis of equations of excitable membranes - III. Membrane of the Purkinje fibre. Reduction of the Noble equations to a second order system. Analysis of automation by the graphs of zero isoclines. Biofizika. 18:1067-1073.
    • (1973) Biofizika , vol.18 , pp. 1067-1073
    • Krinsky, V.I.1    Kokoz, Y.M.2
  • 42
    • 1642348388 scopus 로고    scopus 로고
    • A simplified model of propagation and dissipation of excitation fronts
    • Biktashev, V. 2003. A simplified model of propagation and dissipation of excitation fronts. Int. J. Bifurcat. Chaos. 13:3605-3620.
    • (2003) Int. J. Bifurcat. Chaos , vol.13 , pp. 3605-3620
    • Biktashev, V.1
  • 43
    • 7444231006 scopus 로고    scopus 로고
    • Stability of cardiac waves
    • Hinch, R. 2004. Stability of cardiac waves. Bull. Math. Biol. 66:1887-1908.
    • (2004) Bull. Math. Biol. , vol.66 , pp. 1887-1908
    • Hinch, R.1
  • 44
    • 0014318908 scopus 로고
    • A graphic method for the study of alternation in cardiac action potentials
    • Nolasco, J. B., and R. W. Dahlen. 1968. A graphic method for the study of alternation in cardiac action potentials. J. Appl. Physiol. 25:191-196.
    • (1968) J. Appl. Physiol. , vol.25 , pp. 191-196
    • Nolasco, J.B.1    Dahlen, R.W.2
  • 45
    • 4243999929 scopus 로고
    • Instabilities of a propagating pulse in a ring of excitable media
    • Courtemanche, M., L. Glass, and J. P. Keener. 1993. Instabilities of a propagating pulse in a ring of excitable media. Phys. Rev. Lett. 70:2182-2185.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 2182-2185
    • Courtemanche, M.1    Glass, L.2    Keener, J.P.3
  • 46
    • 0028533330 scopus 로고
    • The dynamics of sustained reentry in a ring model of cardiac tissue
    • Vinet, A., and F. Roberge. 1994. The dynamics of sustained reentry in a ring model of cardiac tissue. Ann. Biomed. Eng. 22:568-591.
    • (1994) Ann. Biomed. Eng. , vol.22 , pp. 568-591
    • Vinet, A.1    Roberge, F.2
  • 47
    • 0001718396 scopus 로고    scopus 로고
    • Generalized eikonal equation in excitable media
    • Wellner, M., and A. Pertsov. 1997. Generalized eikonal equation in excitable media. Phys. Rev E. 55:7656-7661.
    • (1997) Phys. Rev E , vol.55 , pp. 7656-7661
    • Wellner, M.1    Pertsov, A.2
  • 48
    • 0033151558 scopus 로고    scopus 로고
    • Chaos and the transition to ventricular fibrilation. a new approach to antiarrythmic drug evaluation
    • Weiss, J., A. Garfinkel, H. Karagueuzian, Z. Qu, and P.-S. Chen. 1999. Chaos and the transition to ventricular fibrilation. A new approach to antiarrythmic drug evaluation. Circulation. 99:2819-2826.
    • (1999) Circulation , vol.99 , pp. 2819-2826
    • Weiss, J.1    Garfinkel, A.2    Karagueuzian, H.3    Qu, Z.4    Chen, P.-S.5
  • 49
    • 0033215688 scopus 로고    scopus 로고
    • Curvature effects on activation and repolarization in an ionic model of cardiac myocytes
    • Comtois, P., and A. Vinet. 1999. Curvature effects on activation and repolarization in an ionic model of cardiac myocytes. Phys. Rev. E. 60:4619-4628.
    • (1999) Phys. Rev. E , vol.60 , pp. 4619-4628
    • Comtois, P.1    Vinet, A.2
  • 50
    • 0035028582 scopus 로고    scopus 로고
    • Cellular consequences of HERG mutations in the long QT syndrome: Precursors to sudden cardiac death
    • Clancy, C. E., and Y. Rudy. 2001. Cellular consequences of HERG mutations in the long QT syndrome: precursors to sudden cardiac death. Cardiovasc. Res. 50:301-313.
    • (2001) Cardiovasc. Res. , vol.50 , pp. 301-313
    • Clancy, C.E.1    Rudy, Y.2
  • 51
    • 0030665763 scopus 로고    scopus 로고
    • Ionic mechanisms of propagation in cardiac tissue. roles of the sodium and L-type calcium currents during reduced excitability and decreased gap junction coupling
    • Shaw, R. M., and Y. Rudy. 1997. Ionic mechanisms of propagation in cardiac tissue. roles of the sodium and L-type calcium currents during reduced excitability and decreased gap junction coupling. Circ. Res. 81:727-741.
    • (1997) Circ. Res. , vol.81 , pp. 727-741
    • Shaw, R.M.1    Rudy, Y.2
  • 52


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