메뉴 건너뛰기




Volumn 229, Issue 1, 2004, Pages 69-83

Periodic stimulus and the single cardiac cell - Getting more out of 1D maps

Author keywords

Alternans; APD; Restitution curve; Slow manifold; Wenckebach rhythms

Indexed keywords

BIOLOGY;

EID: 2642517828     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jtbi.2004.03.004     Document Type: Article
Times cited : (6)

References (37)
  • 1
    • 0017370379 scopus 로고
    • Reconstruction of the action potential of ventricular myocardial fibers
    • Beeler G.W., Reuter H.J. Reconstruction of the action potential of ventricular myocardial fibers. J. Physiol. 268:1977;177-210
    • (1977) J. Physiol. , vol.268 , pp. 177-210
    • Beeler, G.W.1    Reuter, H.J.2
  • 2
    • 2542496900 scopus 로고    scopus 로고
    • Suppression of alternans and conduction blocks despite steep apd restitution: Electrotonic, memory and conduction velocity restitution effects
    • Cherry, E.M., Fenton, F.H. Suppression of alternans and conduction blocks despite steep apd restitution: electrotonic, memory and conduction velocity restitution effects. Am. J. Physiol Heart Circ. Physiol, 2004.
    • (2004) Am. J. Physiol Heart Circ. Physiol
    • Cherry, E.M.1    Fenton, F.H.2
  • 4
    • 0034257995 scopus 로고    scopus 로고
    • Period adding bifurcations and chaos in a periodically stimulated excitable neural relaxation oscillator
    • Coombs S., Osbaldestin A.H. Period adding bifurcations and chaos in a periodically stimulated excitable neural relaxation oscillator. Phys. Rev. E. 62:2000;4057-4066
    • (2000) Phys. Rev. e , vol.62 , pp. 4057-4066
    • Coombs, S.1    Osbaldestin, A.H.2
  • 5
    • 4243999929 scopus 로고
    • Instabilities of a propagating pulse in a ring of excitable media
    • Courtemanche M., Glass L., Keener J.P. Instabilities of a propagating pulse in a ring of excitable media. Phys. Rev. Lett. 70:1993;2182-2185
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 2182-2185
    • Courtemanche, M.1    Glass, L.2    Keener, J.P.3
  • 6
    • 33750856807 scopus 로고    scopus 로고
    • Ionic mechanisms underlying human atrial action potential properties: Insights from a mathematical model
    • Courtemanche M., Ramirez R.J., Nattel S. Ionic mechanisms underlying human atrial action potential properties. insights from a mathematical model Am. J. Physiol. 275:1998;H301-H321
    • (1998) Am. J. Physiol. , vol.275 , pp. 301-H321
    • Courtemanche, M.1    Ramirez, R.J.2    Nattel, S.3
  • 7
    • 0036710122 scopus 로고    scopus 로고
    • Stability conditions for the traveling pulse: Modifying the restitution hypothesis
    • Cytrynbaum E.M., Keener J.P. Stability conditions for the traveling pulse. modifying the restitution hypothesis Chaos. 12(3):2002;788-799
    • (2002) Chaos , vol.12 , Issue.3 , pp. 788-799
    • Cytrynbaum, E.M.1    Keener, J.P.2
  • 8
    • 0024443293 scopus 로고
    • Ionic basis and analytical solution of the wenckebach phenomenon in guinea pig ventricular myocyte
    • Delmar M., Glass L., Michaels D.C., Jalife J. Ionic basis and analytical solution of the wenckebach phenomenon in guinea pig ventricular myocyte. Circ. Res. 65:1989;775-788
    • (1989) Circ. Res. , vol.65 , pp. 775-788
    • Delmar, M.1    Glass, L.2    Michaels, D.C.3    Jalife, J.4
  • 9
    • 0024456809 scopus 로고
    • Slow recovery of excitability and the wenckebach phenomenon in the single guinea pig ventricular myocyte
    • Delmar M., Michaels D.C., Jalife J. Slow recovery of excitability and the wenckebach phenomenon in the single guinea pig ventricular myocyte. Circ. Res. 65:1989;761-774
    • (1989) Circ. Res. , vol.65 , pp. 761-774
    • Delmar, M.1    Michaels, D.C.2    Jalife, J.3
  • 10
    • 19044384045 scopus 로고    scopus 로고
    • Instability and spatiotemporal dynamics of alternans in paced cardiac tissue
    • Echebarria, B., Karma, A., 2002. Instability and spatiotemporal dynamics of alternans in paced cardiac tissue. Phys. Rev. Lett. 88(20) 208101-1-208101-4.
    • (2002) Phys. Rev. Lett. , vol.88 , Issue.20 , pp. 2081011-2081014
    • Echebarria, B.1    Karma, A.2
  • 11
    • 0020772401 scopus 로고
    • Cycle length effect on restitution of action potential duration in dog cardiac fibers
    • Elharrar V., Surawicz B. Cycle length effect on restitution of action potential duration in dog cardiac fibers. Am. J. Physiol. 244:1983;H782-H792
    • (1983) Am. J. Physiol. , vol.244 , pp. 782-H792
    • Elharrar, V.1    Surawicz, B.2
  • 12
    • 0036711265 scopus 로고    scopus 로고
    • Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity
    • Fenton F., Cherry E.M., Hastings H.M., Evans S.J. Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity. Chaos. 12(3):2002;852-892
    • (2002) Chaos , vol.12 , Issue.3 , pp. 852-892
    • Fenton, F.1    Cherry, E.M.2    Hastings, H.M.3    Evans, S.J.4
  • 13
    • 0037163822 scopus 로고    scopus 로고
    • Period-doubling instability and memory in cardiac tissue
    • Fox, J.J., Bodenschatz, E., Gilmour Jr., R.F., 2002. Period-doubling instability and memory in cardiac tissue. Phys. Rev. Lett. 89(13) 138101-1-138101-4.
    • (2002) Phys. Rev. Lett. , vol.89 , Issue.13 , pp. 1381011-1381014
    • Fox, J.J.1    Bodenschatz, E.2    Gilmour Jr., R.F.3
  • 14
    • 0036852296 scopus 로고    scopus 로고
    • Electrical restitution and ventricular fibrillation: Negotiating a slippery slope
    • Gilmour R.F. Jr. Electrical restitution and ventricular fibrillation. negotiating a slippery slope J. Cardiovasc. Electrophysiol. 13:2002;1150-1151
    • (2002) J. Cardiovasc. Electrophysiol. , vol.13 , pp. 1150-1151
    • Gilmour Jr., R.F.1
  • 15
    • 0021642311 scopus 로고
    • Electrical alternans and period-doubling bifurcations
    • IEEE Computer Society, Silver Spring, MD
    • Guevara, M.R., Ward, G., Shrier, A., Glass, L., 1984. Electrical alternans and period-doubling bifurcations. In: Computers in Cardiology. IEEE Computer Society, Silver Spring, MD, pp. 167-170.
    • (1984) Computers in Cardiology , pp. 167-170
    • Guevara, M.R.1    Ward, G.2    Shrier, A.3    Glass, L.4
  • 16
    • 0001081904 scopus 로고
    • Wenckebach rhythms in isolated ventricular heart cells
    • Pnevmatikos, St., Bountis, T., Pnevmatikos, Sp. (Eds.), World Scientific Publishing Co. Pte. Inc., Singapore
    • Guevara, M.R., Jeandupeux, D., Alonso, F., Morissette, N., 1989. Wenckebach rhythms in isolated ventricular heart cells. In: Pnevmatikos, St., Bountis, T., Pnevmatikos, Sp. (Eds.), International Conference on Singular Behavior and Nonlinear Dynamics, 1st Edition. Vol. 2. World Scientific Publishing Co. Pte. Inc., Singapore, pp. 629-642.
    • (1989) International Conference on Singular Behavior and Nonlinear Dynamics, 1st Edition , vol.2 , pp. 629-642
    • Guevara, M.R.1    Jeandupeux, D.2    Alonso, F.3    Morissette, N.4
  • 17
    • 4243866730 scopus 로고    scopus 로고
    • Prevalence of rate-dependent behaviors in cardiac muscle
    • Hall G.M., Bahar S., Gauthier D.J. Prevalence of rate-dependent behaviors in cardiac muscle. Phys. Rev. Lett. 82(14):1999;2995-2998
    • (1999) Phys. Rev. Lett. , vol.82 , Issue.14 , pp. 2995-2998
    • Hall, G.M.1    Bahar, S.2    Gauthier, D.J.3
  • 19
    • 18344377393 scopus 로고
    • Electrical alternans and spiral wave breakup in cardiac tissue
    • Karma A. Electrical alternans and spiral wave breakup in cardiac tissue. Chaos. 4:1994;461-472
    • (1994) Chaos , vol.4 , pp. 461-472
    • Karma, A.1
  • 20
    • 0034705113 scopus 로고    scopus 로고
    • New paradigm for drug therapies of cardiac fibrillation
    • Karma A. New paradigm for drug therapies of cardiac fibrillation. Proc. Natl. Acad. Sci. 97(11):2000;5687-5689
    • (2000) Proc. Natl. Acad. Sci. , vol.97 , Issue.11 , pp. 5687-5689
    • Karma, A.1
  • 21
    • 0025151760 scopus 로고
    • Chaotic dynamics in an ionic model of the propagated cardiac action potential
    • Lewis T.J., Guevara M.R. Chaotic dynamics in an ionic model of the propagated cardiac action potential. J. Theor. Biol. 146:1990;407-432
    • (1990) J. Theor. Biol. , vol.146 , pp. 407-432
    • Lewis, T.J.1    Guevara, M.R.2
  • 22
    • 0000100336 scopus 로고
    • Period three implies chaos
    • Li T., Yorke J.A. Period three implies chaos. Am. Math. Monthly. 82(10):1975;985-992
    • (1975) Am. Math. Monthly , vol.82 , Issue.10 , pp. 985-992
    • Li, T.1    Yorke, J.A.2
  • 23
    • 0025891531 scopus 로고
    • A model of the ventricular cardiac action potential; Depolarization, repolarization and their interaction
    • Luo C.H., Rudy Y. A model of the ventricular cardiac action potential; depolarization, repolarization and their interaction. Circ. Res. 68:1991;1501-1526
    • (1991) Circ. Res. , vol.68 , pp. 1501-1526
    • Luo, C.H.1    Rudy, Y.2
  • 24
    • 0028233422 scopus 로고
    • A dynamic model of the cardiac ventricular action potential; I: Simulations of ionic currents and concentration changes
    • Luo C.H., Rudy Y. A dynamic model of the cardiac ventricular action potential; I. simulations of ionic currents and concentration changes Circ. Res. 74:1994;1071-1096
    • (1994) Circ. Res. , vol.74 , pp. 1071-1096
    • Luo, C.H.1    Rudy, Y.2
  • 25
    • 0014318908 scopus 로고
    • A graphic method for the study of alternation in cardiac action potentials
    • Nolasco J.B., Dahlen R.W. A graphic method for the study of alternation in cardiac action potentials. J. Appl. Physiol. 25(2):1968;191-196
    • (1968) J. Appl. Physiol. , vol.25 , Issue.2 , pp. 191-196
    • Nolasco, J.B.1    Dahlen, R.W.2
  • 26
    • 0031558405 scopus 로고    scopus 로고
    • Memory models for the electrical properties of local cardiac systems
    • Otani N.F., Gilmour R.F. Jr. Memory models for the electrical properties of local cardiac systems. J. Theor. Biol. 187(3):1997;409-436
    • (1997) J. Theor. Biol. , vol.187 , Issue.3 , pp. 409-436
    • Otani, N.F.1    Gilmour Jr., R.F.2
  • 27
    • 2642579438 scopus 로고
    • Resonances in excitable systems under step-function forcing. i. Harmonic solutions
    • Othmer H.G., Watanabe M. Resonances in excitable systems under step-function forcing. i. harmonic solutions. Adv. Math. and Appl. 4:1994;399-441
    • (1994) Adv. Math. and Appl. , vol.4 , pp. 399-441
    • Othmer, H.G.1    Watanabe, M.2
  • 28
    • 0033176087 scopus 로고    scopus 로고
    • Subharmonic resonance and chaos in forced excitable systems
    • Othmer H.G., Xie M. Subharmonic resonance and chaos in forced excitable systems. J. Math. Biol. 39:1999;139-171
    • (1999) J. Math. Biol. , vol.39 , pp. 139-171
    • Othmer, H.G.1    Xie, M.2
  • 29
    • 0036711447 scopus 로고    scopus 로고
    • Wave propagation in an excitable medium with a negatively sloped restitution curve
    • Panfilov A.V., Zemlin C.W. Wave propagation in an excitable medium with a negatively sloped restitution curve. Chaos. 12(4):2002;800-806
    • (2002) Chaos , vol.12 , Issue.4 , pp. 800-806
    • Panfilov, A.V.1    Zemlin, C.W.2
  • 30
    • 0001697331 scopus 로고    scopus 로고
    • Spatiotemporal chaos in a simulated ring of cardiac cells
    • Qu Z., Weiss J.N., Garfinkel A. Spatiotemporal chaos in a simulated ring of cardiac cells. Phys. Rev. Lett. 78(7):1997;1387-1390
    • (1997) Phys. Rev. Lett. , vol.78 , Issue.7 , pp. 1387-1390
    • Qu, Z.1    Weiss, J.N.2    Garfinkel, A.3
  • 31
    • 0001371112 scopus 로고
    • A theorem of sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line
    • Stefan P. A theorem of sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line. Commun. Math. Phys. 54:1977;237-248
    • (1977) Commun. Math. Phys. , vol.54 , pp. 237-248
    • Stefan, P.1
  • 32
    • 0036921378 scopus 로고    scopus 로고
    • Analysis of the fenton karma model through an approximation by a one-dimensional map
    • Tolkacheva E.G., Schaeffer D.G., Gauthier D.J., Mitchell C.C. Analysis of the fenton karma model through an approximation by a one-dimensional map. Chaos. 12(4):2002;1034-1042
    • (2002) Chaos , vol.12 , Issue.4 , pp. 1034-1042
    • Tolkacheva, E.G.1    Schaeffer, D.G.2    Gauthier, D.J.3    Mitchell, C.C.4
  • 33
    • 84930065258 scopus 로고    scopus 로고
    • Condition for alternans and stability of the 1:1 response pattern in a memory model of paced cardiac dynamics
    • Tolkacheva, E.G., Schaeffer, D.G., Gauthier, D.J., Krassowska, W., 2003. Condition for alternans and stability of the 1:1 response pattern in a memory model of paced cardiac dynamics. Phys. Rev. E 67, 031904-1-031904-10.
    • (2003) Phys. Rev. E , vol.67 , pp. 0319041-03190410
    • Tolkacheva, E.G.1    Schaeffer, D.G.2    Gauthier, D.J.3    Krassowska, W.4
  • 34
    • 0028901633 scopus 로고
    • Biphasic restitution of action potential duration and complex dynamics in ventricular myocardium
    • Watanabe M., Otani N.F., Gilmour R.F. Jr. Biphasic restitution of action potential duration and complex dynamics in ventricular myocardium. Circ. Res. 76:1995;915-921
    • (1995) Circ. Res. , vol.76 , pp. 915-921
    • Watanabe, M.1    Otani, N.F.2    Gilmour Jr., R.F.3
  • 35
    • 0012230141 scopus 로고    scopus 로고
    • Resonance in excitable systems under step-function forcing. ii. Subharmonic solutions and persistence
    • Xie M., Othmer H.G., Watanabe M. Resonance in excitable systems under step-function forcing. ii. subharmonic solutions and persistence. Physica D. 98:1996;75-110
    • (1996) Physica D , vol.98 , pp. 75-110
    • Xie, M.1    Othmer, H.G.2    Watanabe, M.3
  • 36
    • 36549066892 scopus 로고    scopus 로고
    • Transient outward current contributes to wenkebach-like rhythms in isolated rabbit ventricular cells
    • Yehia A.R., Shrier A., Lo K.C.-L., Guevara M.R. Transient outward current contributes to wenkebach-like rhythms in isolated rabbit ventricular cells. Am. J. Physiol. 273:1997;H1-H11
    • (1997) Am. J. Physiol. , vol.273 , pp. 1-H11
    • Yehia, A.R.1    Shrier, A.2    Lo, K.C.-L.3    Guevara, M.R.4
  • 37
    • 0033474439 scopus 로고    scopus 로고
    • Hysteresis and bistability in the direct transition from 1:1 to 2:1 rhythm in periodically driven single ventricular cells
    • Yehia A.R., Jeandupeux D., Alonso F., Guevara M.R. Hysteresis and bistability in the direct transition from 1:1 to 2:1 rhythm in periodically driven single ventricular cells. Chaos. 9(4):1999;916-931
    • (1999) Chaos , vol.9 , Issue.4 , pp. 916-931
    • Yehia, A.R.1    Jeandupeux, D.2    Alonso, F.3    Guevara, M.R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.