메뉴 건너뛰기




Volumn 39, Issue 1, 2009, Pages 454-462

Phase-locking and chaos in a silent Hodgkin-Huxley neuron exposed to sinusoidal electric field

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; ELECTRIC FIELDS; ELECTROPHYSIOLOGY; FIRING (OF MATERIALS); LOCKS (FASTENERS);

EID: 60649086586     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.03.008     Document Type: Article
Times cited : (34)

References (37)
  • 2
    • 0001072892 scopus 로고
    • periodic-chaotic sequence observed in neural oscillators
    • Aihara K., Matsumoto G., and Ichikawa M. periodic-chaotic sequence observed in neural oscillators. Phys Lett 111A (1985) 251-255
    • (1985) Phys Lett , vol.111 A , pp. 251-255
    • Aihara, K.1    Matsumoto, G.2    Ichikawa, M.3
  • 4
    • 0001343004 scopus 로고
    • Global bifurcation structure in periodically stimulated giant axons of squid
    • Takahashi N., Hanyu Y., Musha T., Kubo R., and Matsumoto G. Global bifurcation structure in periodically stimulated giant axons of squid. Physica D 43 (1990) 318-334
    • (1990) Physica D , vol.43 , pp. 318-334
    • Takahashi, N.1    Hanyu, Y.2    Musha, T.3    Kubo, R.4    Matsumoto, G.5
  • 5
    • 0000058225 scopus 로고    scopus 로고
    • Subthreshold dynamics in periodically stimulated squid giant axons
    • Kaplan D.T., et al. Subthreshold dynamics in periodically stimulated squid giant axons. Phys Rev Lett 76 (1996) 4074-4077
    • (1996) Phys Rev Lett , vol.76 , pp. 4074-4077
    • Kaplan, D.T.1
  • 6
    • 0031202639 scopus 로고    scopus 로고
    • Period-adding bifurcation with chaos in the interspike intervals generated by an experimental neural pacemaker
    • Ren W., Hu S.J., Zhang B.J., Xu J.X., and Gong Y.F. Period-adding bifurcation with chaos in the interspike intervals generated by an experimental neural pacemaker. Int J Bifurcat Chaos 7 (1997) 1867-1872
    • (1997) Int J Bifurcat Chaos , vol.7 , pp. 1867-1872
    • Ren, W.1    Hu, S.J.2    Zhang, B.J.3    Xu, J.X.4    Gong, Y.F.5
  • 7
    • 35649001607 scopus 로고
    • A quantitative description of membrane and its application to conduction and excitation in nerve
    • Hodgkin A.L., and Huxley A.F. A quantitative description of membrane and its application to conduction and excitation in nerve. J Physiol 117 (1952) 500-544
    • (1952) J Physiol , vol.117 , pp. 500-544
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 9
    • 0020957719 scopus 로고
    • Minimal model for membrane oscillations in the pancreatic β-cell
    • Chay T.R., and Keizer J. Minimal model for membrane oscillations in the pancreatic β-cell. Biophys J 42 (1983) 181-190
    • (1983) Biophys J , vol.42 , pp. 181-190
    • Chay, T.R.1    Keizer, J.2
  • 10
    • 0025781361 scopus 로고
    • A model of a CA3 hippocampal pyramidal neuron incorporating voltage-clamp data on intrinsic conductances
    • Traub R.D., Wong R.K.S., Miles R., and Michelson H. A model of a CA3 hippocampal pyramidal neuron incorporating voltage-clamp data on intrinsic conductances. J Neurophysiol 66 (1991) 635-650
    • (1991) J Neurophysiol , vol.66 , pp. 635-650
    • Traub, R.D.1    Wong, R.K.S.2    Miles, R.3    Michelson, H.4
  • 11
    • 0000615910 scopus 로고
    • The development of mathematical models of the heart
    • Noble D. The development of mathematical models of the heart. Chaos, Solitons & Fractals 5 (1995) 321-333
    • (1995) Chaos, Solitons & Fractals , vol.5 , pp. 321-333
    • Noble, D.1
  • 12
    • 0032493176 scopus 로고    scopus 로고
    • Review of ionic models of vagal-cardiac pacemaker control
    • Dokos S., Lovell N.H., and Celler B.G. Review of ionic models of vagal-cardiac pacemaker control. J Theor Biol 192 (1998) 265-274
    • (1998) J Theor Biol , vol.192 , pp. 265-274
    • Dokos, S.1    Lovell, N.H.2    Celler, B.G.3
  • 13
    • 31444446372 scopus 로고    scopus 로고
    • A modified Hodgkin-Huxley model
    • He J.H. A modified Hodgkin-Huxley model. Chaos, Solitons & Fractals 29 2 (2006) 303-306
    • (2006) Chaos, Solitons & Fractals , vol.29 , Issue.2 , pp. 303-306
    • He, J.H.1
  • 14
    • 0000105234 scopus 로고    scopus 로고
    • Synthetic analysis of periodically stimulated excitable and oscillatory membrane models
    • Yoshino K., Nomura T., Pakdaman K., and Sato S. Synthetic analysis of periodically stimulated excitable and oscillatory membrane models. Phys Rev E 59 (1999) 956-969
    • (1999) Phys Rev E , vol.59 , pp. 956-969
    • Yoshino, K.1    Nomura, T.2    Pakdaman, K.3    Sato, S.4
  • 15
    • 0021636588 scopus 로고
    • Periodic and non-periodic responses of a periodically forced Hodgkin-Huxley oscillator
    • Aihara K., Matsumoto G., and Ikegaya Y. Periodic and non-periodic responses of a periodically forced Hodgkin-Huxley oscillator. J Theor Biol 109 (1984) 249-269
    • (1984) J Theor Biol , vol.109 , pp. 249-269
    • Aihara, K.1    Matsumoto, G.2    Ikegaya, Y.3
  • 16
    • 46549093797 scopus 로고
    • Chaos in a three-variable model of an excitable cell
    • Chay T.R. Chaos in a three-variable model of an excitable cell. Physica D 16 (1985) 233-242
    • (1985) Physica D , vol.16 , pp. 233-242
    • Chay, T.R.1
  • 17
    • 0026858346 scopus 로고
    • From simple to simple bursting oscillatory behaviour via chaos in the RoseCHindmarsh model for neuronal activity
    • Holden A.V., and Fan Y.S. From simple to simple bursting oscillatory behaviour via chaos in the RoseCHindmarsh model for neuronal activity. Chaos, Solitons & Fractals 2 (1992) 221-236
    • (1992) Chaos, Solitons & Fractals , vol.2 , pp. 221-236
    • Holden, A.V.1    Fan, Y.S.2
  • 18
    • 0000732703 scopus 로고
    • From simple to complex oscillatory behaviour via intermittent chaos in the RoseCHindmarsh model for neuronal activity
    • Holden A.V., and Fan Y.S. From simple to complex oscillatory behaviour via intermittent chaos in the RoseCHindmarsh model for neuronal activity. Chaos, Solitons & Fractals 2 (1992) 349-369
    • (1992) Chaos, Solitons & Fractals , vol.2 , pp. 349-369
    • Holden, A.V.1    Fan, Y.S.2
  • 19
    • 0026945747 scopus 로고
    • Crisis-induced chaos in the RoseCHindmarsh model for neuronal activity
    • Holden A.V., and Fan Y.S. Crisis-induced chaos in the RoseCHindmarsh model for neuronal activity. Chaos, Solitons & Fractals 2 (1992) 583-595
    • (1992) Chaos, Solitons & Fractals , vol.2 , pp. 583-595
    • Holden, A.V.1    Fan, Y.S.2
  • 20
    • 0028672065 scopus 로고
    • Generation of periodic and chaotic bursting in an excitable cell model
    • Fan Y., and Chay T.R. Generation of periodic and chaotic bursting in an excitable cell model. Biol Cybern 71 (1994) 417-431
    • (1994) Biol Cybern , vol.71 , pp. 417-431
    • Fan, Y.1    Chay, T.R.2
  • 21
    • 0345532062 scopus 로고    scopus 로고
    • The dynamic principle of interaction between weak electromagnetic fields and living systemCInterference of electromagnetic waves in dynamic metabolism
    • Huang K., and Li Y. The dynamic principle of interaction between weak electromagnetic fields and living systemCInterference of electromagnetic waves in dynamic metabolism. Chin J Med Phys 14 4 (1997) 205-207
    • (1997) Chin J Med Phys , vol.14 , Issue.4 , pp. 205-207
    • Huang, K.1    Li, Y.2
  • 22
    • 0033839117 scopus 로고    scopus 로고
    • Exposure to electromagnetic fields and risk of central nervous system disease in utility workers
    • Johansen C. Exposure to electromagnetic fields and risk of central nervous system disease in utility workers. Epidemiology 11 5 (2000) 539-543
    • (2000) Epidemiology , vol.11 , Issue.5 , pp. 539-543
    • Johansen, C.1
  • 23
    • 0023805434 scopus 로고
    • Influence of eletromagnetic fields on the efflux of calcium ions from brain tissue in vitro: a three-model analysis consistent with the frequency response up to 510 Hz
    • Blackman F. Influence of eletromagnetic fields on the efflux of calcium ions from brain tissue in vitro: a three-model analysis consistent with the frequency response up to 510 Hz. Bioelectromagnetics 9 (1988) 215-327
    • (1988) Bioelectromagnetics , vol.9 , pp. 215-327
    • Blackman, F.1
  • 24
    • 0344062649 scopus 로고    scopus 로고
    • Hopf bifurcation in the Hodgkin-Huxley model exposed to ELF electrical field
    • Wang J., Tsang K.M., and Zhang H. Hopf bifurcation in the Hodgkin-Huxley model exposed to ELF electrical field. Chaos, Solitons & Fractals 20 (2004) 759-764
    • (2004) Chaos, Solitons & Fractals , vol.20 , pp. 759-764
    • Wang, J.1    Tsang, K.M.2    Zhang, H.3
  • 25
    • 22844452422 scopus 로고    scopus 로고
    • Analysis of Hopf bifurcation caused by leakage conductance in the Hodgkin-Huxley model in muscles
    • Wang J., Zhang H., and Che Y.Q. Analysis of Hopf bifurcation caused by leakage conductance in the Hodgkin-Huxley model in muscles. Chaos, Solitons & Fractals 27 2 (2006) 427-436
    • (2006) Chaos, Solitons & Fractals , vol.27 , Issue.2 , pp. 427-436
    • Wang, J.1    Zhang, H.2    Che, Y.Q.3
  • 26
    • 4644343793 scopus 로고    scopus 로고
    • Two-parameter Hopf bifurcation in the Hodgkin-Huxley model
    • Wang J., Geng J.M., and Fei X.Y. Two-parameter Hopf bifurcation in the Hodgkin-Huxley model. Chaos, Solitons & Fractals 23 3 (2005) 973-980
    • (2005) Chaos, Solitons & Fractals , vol.23 , Issue.3 , pp. 973-980
    • Wang, J.1    Geng, J.M.2    Fei, X.Y.3
  • 27
    • 19144372247 scopus 로고    scopus 로고
    • Multi-parameter Hopf bifurcation in Hodgkin-Huxley model exposed to ELF external electric field
    • Wang J., Che Y.Q., Fei X.Y., and Li L. Multi-parameter Hopf bifurcation in Hodgkin-Huxley model exposed to ELF external electric field. Chaos, Solitons & Fractals 26 4 (2005) 1221-1229
    • (2005) Chaos, Solitons & Fractals , vol.26 , Issue.4 , pp. 1221-1229
    • Wang, J.1    Che, Y.Q.2    Fei, X.Y.3    Li, L.4
  • 28
    • 41349098297 scopus 로고    scopus 로고
    • Resonant forcing of a silent Hodgkin-Huxley neuron
    • Parmananda P., Mena C.H., and Baier G. Resonant forcing of a silent Hodgkin-Huxley neuron. Phys Rev E 66 (2002) 047202-1-047202-4
    • (2002) Phys Rev E , vol.66
    • Parmananda, P.1    Mena, C.H.2    Baier, G.3
  • 29
    • 0033994239 scopus 로고    scopus 로고
    • Membrane potential and firing rate in cat primary visual cortex
    • Carandini M., and Ferster D. Membrane potential and firing rate in cat primary visual cortex. J Neurosci 20 1 (2000) 470-484
    • (2000) J Neurosci , vol.20 , Issue.1 , pp. 470-484
    • Carandini, M.1    Ferster, D.2
  • 30
    • 84969180004 scopus 로고    scopus 로고
    • On a response characteristics in the Hodgkin-Huxley model of nerve and muscle fiber to a periodic stimulation
    • Shoji FF, Lee HH. On a response characteristics in the Hodgkin-Huxley model of nerve and muscle fiber to a periodic stimulation. In: Twenty-sixth annual conference of the IEEE; 2000. p. 2035-41.
    • (2000) Twenty-sixth annual conference of the IEEE , pp. 2035-2041
    • Shoji, F.F.1    Lee, H.H.2
  • 31
    • 0030168580 scopus 로고    scopus 로고
    • Symmetry-restoring crises, period-adding and chaotic transitions in the cubic van der pol oscillator
    • Sanjuan M.A.F. Symmetry-restoring crises, period-adding and chaotic transitions in the cubic van der pol oscillator. J Sound Vibr 193 (1996) 863-875
    • (1996) J Sound Vibr , vol.193 , pp. 863-875
    • Sanjuan, M.A.F.1
  • 32
    • 0005654351 scopus 로고    scopus 로고
    • Period-adding and chaos in fluidized bed catalytic reactors
    • Elnashaie S.S.E.H., and Ajbar A. Period-adding and chaos in fluidized bed catalytic reactors. Chaos, Solitons & Fractals 7 8 (1996) 1317-1331
    • (1996) Chaos, Solitons & Fractals , vol.7 , Issue.8 , pp. 1317-1331
    • Elnashaie, S.S.E.H.1    Ajbar, A.2
  • 33
    • 0033180689 scopus 로고    scopus 로고
    • Mode locking and Arnold tongues in integrate-and-fire neural oscillators
    • Coombes S., and Bressloff P.C. Mode locking and Arnold tongues in integrate-and-fire neural oscillators. Phys Rev E 60 2 (1999) 2086-2096
    • (1999) Phys Rev E , vol.60 , Issue.2 , pp. 2086-2096
    • Coombes, S.1    Bressloff, P.C.2
  • 34
    • 0000009552 scopus 로고
    • Bifurcationsfrom an invariant circle for two-parameter families of maps of the plane
    • Aronson D.G., Chory M.A., Hall G.R., and McGehee R.P. Bifurcationsfrom an invariant circle for two-parameter families of maps of the plane. Commun Math Phys 83 (1982) 303-354
    • (1982) Commun Math Phys , vol.83 , pp. 303-354
    • Aronson, D.G.1    Chory, M.A.2    Hall, G.R.3    McGehee, R.P.4
  • 35
    • 0038500784 scopus 로고    scopus 로고
    • Amplitude and frequency dependence of spike timing: implications for dynamic regulation
    • Hunter J.D., and Milton J.G. Amplitude and frequency dependence of spike timing: implications for dynamic regulation. J Neurophysiol 90 (2003) 387-394
    • (2003) J Neurophysiol , vol.90 , pp. 387-394
    • Hunter, J.D.1    Milton, J.G.2
  • 37


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.