메뉴 건너뛰기




Volumn , Issue , 2012, Pages 33-51

Phase resetting neural oscillators: Topological theory versus the realworld

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84954205373     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-1-4614-0739-3_2     Document Type: Chapter
Times cited : (15)

References (48)
  • 1
    • 68949147887 scopus 로고    scopus 로고
    • Type-II phase resetting curve is optimal for stochastic synchrony
    • Abouzeid, A., & Ermentrout, G. B. (2009). Type-II phase resetting curve is optimal for stochastic synchrony. Physical Review E, 80:011911.
    • (2009) Physical Review E , vol.80 , pp. 011911
    • Abouzeid, A.1    Ermentrout, G.B.2
  • 2
    • 0000071902 scopus 로고
    • Small denominators. I. mappings of the circumference onto itself
    • Arnol'd, V. I. (1965). Small denominators. I. mappings of the circumference onto itself. American Mathematical Society Translations, 46:213-284.
    • (1965) American Mathematical Society Translations , vol.46 , pp. 213-284
    • Arnol'd, V.I.1
  • 3
    • 28744454461 scopus 로고    scopus 로고
    • Electrical coupling induces bistability of rhythms in networks of inhibitory spiking neurons
    • Bem, T., Feuvre, Y. L., Rinzel, J., & Meyrand, P. (2005). Electrical coupling induces bistability of rhythms in networks of inhibitory spiking neurons. European Journal of Neuroscience, 22:2661-8.
    • (2005) European Journal of Neuroscience , vol.22 , pp. 2661-2668
    • Bem, T.1    Feuvre, Y.L.2    Rinzel, J.3    Meyrand, P.4
  • 4
    • 0035192442 scopus 로고    scopus 로고
    • A methodology for achieving high-speed rates of artificial conductance injection in electrically excitable biological cells
    • Butera, R. J., Wilson, C. G., DelNegro, C. A., & Smith, J. C. (2001). A methodology for achieving high-speed rates of artificial conductance injection in electrically excitable biological cells. IEEE Transactions on Biomedical Engineering, 48:1460-1470.
    • (2001) IEEE Transactions on Biomedical Engineering , vol.48 , pp. 1460-1470
    • Butera, R.J.1    Wilson, C.G.2    DelNegro, C.A.3    Smith, J.C.4
  • 5
    • 67651194524 scopus 로고    scopus 로고
    • Phase response curve
    • Retrieved March 16, 2010
    • Canavier, C. C. (2006). Phase response curve. Scholarpedia, 1(12):1332. Retrieved March 16, 2010, from http://www.scholarpedia.org/article/Phase_response_curve.
    • (2006) Scholarpedia , vol.1 , Issue.12 , pp. 1332
    • Canavier, C.C.1
  • 6
    • 0031300141 scopus 로고    scopus 로고
    • Phase response characteristics of model neurons determine which patterns are expressed in a ring circuit model of gait generation
    • Canavier, C. C., Butera, R. J., Dror, R. O., Baxter, D. A., Clark, J. W., & Byrne, J. H. (1997). Phase response characteristics of model neurons determine which patterns are expressed in a ring circuit model of gait generation. Biological Cybernetics, 77:367-380.
    • (1997) Biological Cybernetics , vol.77 , pp. 367-380
    • Canavier, C.C.1    Butera, R.J.2    Dror, R.O.3    Baxter, D.A.4    Clark, J.W.5    Byrne, J.H.6
  • 7
    • 0017346147 scopus 로고
    • Monte Carlo simulation of membrane noise: An analysis of fluctuations in graded excitation of nerve membrane
    • Clay, J. R. (1977). Monte Carlo simulation of membrane noise: An analysis of fluctuations in graded excitation of nerve membrane. Journal of Theoretical Biology, 64:671-680.
    • (1977) Journal of Theoretical Biology , vol.64 , pp. 671-680
    • Clay, J.R.1
  • 8
    • 0021250565 scopus 로고
    • Phase resetting of the rhythmic activity of embryonic heart cell aggregates. experiment and theory
    • Clay, J. R., Guevara, M. R., & Shrier, A. (1984). Phase resetting of the rhythmic activity of embryonic heart cell aggregates. experiment and theory. Biophysical Journal, 45:699-714.
    • (1984) Biophysical Journal , vol.45 , pp. 699-714
    • Clay, J.R.1    Guevara, M.R.2    Shrier, A.3
  • 9
    • 67649616023 scopus 로고    scopus 로고
    • Functional phase response curves: A method for understanding synchronization of adapting neurons
    • Cui, J., Canavier, C. C., & Butera, R. J. (2009). Functional phase response curves: A method for understanding synchronization of adapting neurons. Journal of Neurophysiology, 102:387-98.
    • (2009) Journal of Neurophysiology , vol.102 , pp. 387-398
    • Cui, J.1    Canavier, C.C.2    Butera, R.J.3
  • 11
    • 0034747388 scopus 로고    scopus 로고
    • Real-time linux dynamic clamp: A fast and flexible way to construct virtual on channels in living cells
    • Dorval, A. D., Christini, D. J., and White, J. A. (2001). Real-time linux dynamic clamp: A fast and flexible way to construct virtual on channels in living cells. Annals of Biomedical Engineering, 29:897-907.
    • (2001) Annals of Biomedical Engineering , vol.29 , pp. 897-907
    • Dorval, A.D.1    Christini, D.J.2    White, J.A.3
  • 12
  • 13
    • 18244366067 scopus 로고    scopus 로고
    • Efficient estimation of phase-resetting curves in real neurons and its significance for neural-network modeling
    • Galan, R. F., Ermentrout, G. B., & Urban, N. N. (2005). Efficient estimation of phase-resetting curves in real neurons and its significance for neural-network modeling. Physical Review Letters, 94:158101.
    • (2005) Physical Review Letters , vol.94 , pp. 158101
    • Galan, R.F.1    Ermentrout, G.B.2    Urban, N.N.3
  • 16
    • 0003102997 scopus 로고
    • Periodic forcing of a limit cycle oscillator: Fixed points, Arnold tongues, and the global organization of bifurcations
    • Glass, L., & Sun, J. (1994). Periodic forcing of a limit cycle oscillator: Fixed points, Arnold tongues, and the global organization of bifurcations. Physical Review E, 50:5077-5084.
    • (1994) Physical Review E , vol.50 , pp. 5077-5084
    • Glass, L.1    Sun, J.2
  • 17
    • 0021381913 scopus 로고
    • Discontinuities in phase resetting experiments
    • Glass, L., & Winfree, A. T. (1984). Discontinuities in phase resetting experiments. American Journal of Physiology, 15:R251-R258.
    • (1984) American Journal of Physiology , vol.15 , pp. R251-R258
    • Glass, L.1    Winfree, A.T.2
  • 19
    • 0020471747 scopus 로고
    • Phase locking, periodic doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias
    • Guevara, M. R., & Glass, L. (1982). Phase locking, periodic doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias. Journal of Mathematical Biology, 14:1-23.
    • (1982) Journal of Mathematical Biology , vol.14 , pp. 1-23
    • Guevara, M.R.1    Glass, L.2
  • 21
    • 0019815049 scopus 로고
    • Phase locking, period-doubling bifurcations, and irregular dynamics in periodically stimulated cardiac cells
    • Guevara, M. R., Glass, L., & Shrier, A. (1981). Phase locking, period-doubling bifurcations, and irregular dynamics in periodically stimulated cardiac cells. Science, 214:1350-1353.
    • (1981) Science , vol.214 , pp. 1350-1353
    • Guevara, M.R.1    Glass, L.2    Shrier, A.3
  • 22
    • 0025357412 scopus 로고
    • Phase resetting in a model of sinoatrial nodal membrane: Ionic and topological aspects
    • Guevara, M. R., & Jongsma, H. J. (1990). Phase resetting in a model of sinoatrial nodal membrane: Ionic and topological aspects. American Journal of Physiology, 258:H734-H737.
    • (1990) American Journal of Physiology , vol.258 , pp. H734-H737
    • Guevara, M.R.1    Jongsma, H.J.2
  • 23
    • 0023007866 scopus 로고
    • Phase resetting of spontaneously beating embryonic ventricular heart cell aggregates
    • Guevara, M. R., Shrier, A., & Glass, L. (1986). Phase resetting of spontaneously beating embryonic ventricular heart cell aggregates. American Journal of Physiology, 251:H1298-H1305.
    • (1986) American Journal of Physiology , vol.251 , pp. H1298-H1305
    • Guevara, M.R.1    Shrier, A.2    Glass, L.3
  • 24
    • 0000235969 scopus 로고
    • The local electric changes associated with repetitive action in a nonmedullated axon
    • Hodgkin, A. L. (1948). The local electric changes associated with repetitive action in a nonmedullated axon. Journal of Physiology, 107:165-81.
    • (1948) Journal of Physiology , vol.107 , pp. 165-181
    • Hodgkin, A.L.1
  • 28
  • 29
    • 0347088386 scopus 로고
    • Phase resetting and dynamics in isolated atrioventricular nodal cell clusters
    • Kunysz, A. M., Munk, A. A., & Shrier, A. (1995). Phase resetting and dynamics in isolated atrioventricular nodal cell clusters. Chaos, 5:184-192.
    • (1995) Chaos , vol.5 , pp. 184-192
    • Kunysz, A.M.1    Munk, A.A.2    Shrier, A.3
  • 30
    • 0030753116 scopus 로고    scopus 로고
    • Bursting behavior during fixed-delay stimulation of spontaneously beating chick heart cell aggregates
    • Kunysz, A. M., Shrier, A., & Glass, L. (1997). Bursting behavior during fixed-delay stimulation of spontaneously beating chick heart cell aggregates. American Journal of Physiology, 273:C331-C346.
    • (1997) American Journal of Physiology , vol.273 , pp. C331-C346
    • Kunysz, A.M.1    Shrier, A.2    Glass, L.3
  • 31
    • 0001295786 scopus 로고
    • Complex dynamics resulting from repeated stimulation of nonlinear oscillators at a fixed phase
    • Lewis, J., Bachoo, M., Glass, L., & Polosa, C. (1987). Complex dynamics resulting from repeated stimulation of nonlinear oscillators at a fixed phase. Physics Letters A, 125:119-122.
    • (1987) Physics Letters A , vol.125 , pp. 119-122
    • Lewis, J.1    Bachoo, M.2    Glass, L.3    Polosa, C.4
  • 32
    • 0025287135 scopus 로고
    • The effects of superior laryngeal nerve stimulation on the respiratory rhythm: Phase resetting and aftereffects
    • Lewis, J., Bachoo, M., Polosa, C., & Glass, L. (1989). The effects of superior laryngeal nerve stimulation on the respiratory rhythm: Phase resetting and aftereffects. Brain Research, 517: 44-50.
    • (1989) Brain Research , vol.517 , pp. 44-50
    • Lewis, J.1    Bachoo, M.2    Polosa, C.3    Glass, L.4
  • 33
    • 33847229047 scopus 로고    scopus 로고
    • Synchronization of electrically coupled pairs of inhibitory interneurons in neocortex
    • Mancilla, J. G., Lewis, T. J., Pinto, D. J., Rinzel, J., & Connors, B. W. (2007). Synchronization of electrically coupled pairs of inhibitory interneurons in neocortex. Journal of Neuroscience, 27:2058-73.
    • (2007) Journal of Neuroscience , vol.27 , pp. 2058-2073
    • Mancilla, J.G.1    Lewis, T.J.2    Pinto, D.J.3    Rinzel, J.4    Connors, B.W.5
  • 34
    • 0021691669 scopus 로고
    • Periodic and nonperiodic responses of membrane potentials in squid giant axons during sinusoidal current stimulation
    • Matsumoto, G., Aihara, K., Ichikawa, M., & Tasaki, A. (1984). Periodic and nonperiodic responses of membrane potentials in squid giant axons during sinusoidal current stimulation. Journal of Theoretical Neurobiology, 3:1-14.
    • (1984) Journal of Theoretical Neurobiology , vol.3 , pp. 1-14
    • Matsumoto, G.1    Aihara, K.2    Ichikawa, M.3    Tasaki, A.4
  • 35
    • 18144421903 scopus 로고    scopus 로고
    • Beyond two-cell networks: Experimental measurement of neuronal responses to multiple synaptic inputs
    • Netoff, T. I., Acker, C. D., Bettencourt, J. C., & White, J. A. (2005). Beyond two-cell networks: Experimental measurement of neuronal responses to multiple synaptic inputs. Journal of Computational Neuroscience, 18:287-95.
    • (2005) Journal of Computational Neuroscience , vol.18 , pp. 287-295
    • Netoff, T.I.1    Acker, C.D.2    Bettencourt, J.C.3    White, J.A.4
  • 36
    • 16644367884 scopus 로고    scopus 로고
    • Phase resetting and phase locking in hybrid circuits of one model and one biological neuron
    • Oprisan, S., & Canavier, C. (2004). Phase resetting and phase locking in hybrid circuits of one model and one biological neuron. Biophysical Journal, 87:2283-2298.
    • (2004) Biophysical Journal , vol.87 , pp. 2283-2298
    • Oprisan, S.1    Canavier, C.2
  • 37
    • 0036583147 scopus 로고    scopus 로고
    • The influence of limit cycle topology on the phase resetting curve
    • Oprisan, S., Prinz, A., & Canavier, C. (2002). The influence of limit cycle topology on the phase resetting curve. Neural Computation, 14:1027-1057.
    • (2002) Neural Computation , vol.14 , pp. 1027-1057
    • Oprisan, S.1    Prinz, A.2    Canavier, C.3
  • 39
    • 0017485368 scopus 로고
    • Aplysia bursting neurons as endogenous oscillators. I. Phase-response curves for pulsed inhibitory synaptic input
    • Pinsker, H. M. (1977). Aplysia bursting neurons as endogenous oscillators. I. Phase-response curves for pulsed inhibitory synaptic input. Journal of Neurophysiology, 40:527-43.
    • (1977) Journal of Neurophysiology , vol.40 , pp. 527-543
    • Pinsker, H.M.1
  • 40
    • 27144490721 scopus 로고    scopus 로고
    • Neuronal oscillators in aplysia californica that demonstrate weak coupling in vitro
    • Preyer, A. J., & Butera, R. J. (2005). Neuronal oscillators in aplysia californica that demonstrate weak coupling in vitro. Physical Review Letters, 95:138103.
    • (2005) Physical Review Letters , vol.95 , pp. 138103
    • Preyer, A.J.1    Butera, R.J.2
  • 41
    • 0037319233 scopus 로고    scopus 로고
    • The functional consequences of changes in the strength and duration of synaptic inputs to oscillatory neurons
    • Prinz, A. A., Thirumalai, V., & Marder, E. (2003). The functional consequences of changes in the strength and duration of synaptic inputs to oscillatory neurons. Journal of Neuroscience, 23:943-954.
    • (2003) Journal of Neuroscience , vol.23 , pp. 943-954
    • Prinz, A.A.1    Thirumalai, V.2    Marder, E.3
  • 42
    • 0027217559 scopus 로고
    • Two modes of interspike interval shortening by brief transient depolarizations in cat neocortical neurons
    • Reyes, A. D., & Fetz, E. E. (1993). Two modes of interspike interval shortening by brief transient depolarizations in cat neocortical neurons. Journal of Neurophysiology, 69:1661-1672.
    • (1993) Journal of Neurophysiology , vol.69 , pp. 1661-1672
    • Reyes, A.D.1    Fetz, E.E.2
  • 43
    • 0002453062 scopus 로고
    • Analysis of neural excitability and oscillations
    • C. Koch and I. Segev, editors, Cambridge, MA: MIT Press
    • Rinzel, J., & Ermentrout, G. B. (1989). Analysis of neural excitability and oscillations. In C. Koch and I. Segev, editors, Methods in neuronal modeling. Cambridge, MA: MIT Press.
    • (1989) Methods in neuronal modeling
    • Rinzel, J.1    Ermentrout, G.B.2
  • 45
    • 0029844023 scopus 로고    scopus 로고
    • Mechanisms of oscillation in dynamic clamp constructed two-cell half-center circuits
    • Sharp, A. A., Skinner, F. K., & Marder, E. (1996). Mechanisms of oscillation in dynamic clamp constructed two-cell half-center circuits. Journal of Neurophysiology, 76:867-83.
    • (1996) Journal of Neurophysiology , vol.76 , pp. 867-883
    • Sharp, A.A.1    Skinner, F.K.2    Marder, E.3
  • 46
    • 65549097593 scopus 로고    scopus 로고
    • Predictions of phase-locking in excitatory hybrid networks: Excitation does not promote phase-locking in pattern-generating networks as reliably as inhibition
    • Sieling, F. H., Canavier, C. C., & Prinz, A. A. (2009). Predictions of phase-locking in excitatory hybrid networks: Excitation does not promote phase-locking in pattern-generating networks as reliably as inhibition. Journal of Neurophysiology, 102:69-84.
    • (2009) Journal of Neurophysiology , vol.102 , pp. 69-84
    • Sieling, F.H.1    Canavier, C.C.2    Prinz, A.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.