메뉴 건너뛰기




Volumn 9, Issue 5, 1996, Pages 797-818

Single neuron with recurrent excitation: Effect of the transmission delay

Author keywords

Adaptation; Conductance based model; Integrate and fire model; Leaky integrator model; Recurrent excitation; Saturation; Transmission delay

Indexed keywords

BIOELECTRIC PHENOMENA; BIOLOGICAL MEMBRANES; DYNAMICS; MATHEMATICAL MODELS; NEUROLOGY;

EID: 0030198876     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/0893-6080(95)00097-6     Document Type: Article
Times cited : (24)

References (42)
  • 1
    • 21844483310 scopus 로고
    • Periodic solutions of impulsive systems with a small delay
    • Bainov D.D., Covachev V.C. Periodic solutions of impulsive systems with a small delay. Journal of Physics A. 27:1994;5551-5563.
    • (1994) Journal of Physics A , vol.27 , pp. 5551-5563
    • Bainov, D.D.1    Covachev, V.C.2
  • 4
    • 0003280867 scopus 로고
    • Positive feedback in natural systems
    • Berlin: Springer-Verlag
    • DeAngelis, D.L., Post, W.M., & Travis, C.C. (1986). Positive feedback in natural systems. Biomathematics (Vol. 15). Berlin: Springer-Verlag.
    • (1986) Biomathematics , vol.15
    • DeAngelis, D.L.1    Post, W.M.2    Travis, C.C.3
  • 5
    • 0011841684 scopus 로고
    • Ergebnisse der Mathematik und ihrer Grenzgebiete 3
    • One dimensional dynamics, Berlin: Springer-Verlag
    • De Melo, W., & van Strien, S. (1993). One dimensional dynamics. Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge Band 25. Berlin: Springer-Verlag.
    • (1993) Folge Band 25
    • De Melo, W.1    Van Strien, S.2
  • 6
    • 0020959583 scopus 로고
    • Behavior of a single neuron in a recurrent excitatory loop
    • Diez-Martínez O., Segundo J.P. Behavior of a single neuron in a recurrent excitatory loop. Biological Cybernetics. 47:1983;33-41.
    • (1983) Biological Cybernetics , vol.47 , pp. 33-41
    • Diez-Martínez, O.1    Segundo, J.P.2
  • 7
    • 38149145441 scopus 로고
    • Neural networks and mathematical distribution theory: Periodical and almost periodical Dirac firings
    • Faure R. Neural networks and mathematical distribution theory: periodical and almost periodical Dirac firings. Computers and Mathematics with Applications. 27:1994;93-97.
    • (1994) Computers and Mathematics with Applications , vol.27 , pp. 93-97
    • Faure, R.1
  • 8
    • 0027522169 scopus 로고
    • Spontaneous synaptic activities in rat nucleus Tractus Solitarius neurons in vitro: Evidence for re-excitatory processing
    • Fortin G., Champagnat J. Spontaneous synaptic activities in rat nucleus Tractus Solitarius neurons in vitro: evidence for re-excitatory processing. Brain Research. 630:1993;125-135.
    • (1993) Brain Research , vol.630 , pp. 125-135
    • Fortin, G.1    Champagnat, J.2
  • 9
    • 0016097888 scopus 로고
    • A model for mutal excitation in a neuron population in olfactory bulb
    • Freeman, W.J. (1974a). A model for mutal excitation in a neuron population in olfactory bulb. IEEE Transactions on Biomedical Engineering, 21, 350-358.
    • (1974) IEEE Transactions on Biomedical Engineering , vol.21 , pp. 350-358
    • Freeman, W.J.1
  • 10
    • 0016097887 scopus 로고
    • Stability characteristics of positive feedback in a neural population
    • Freeman, W.J. (1974b). Stability characteristics of positive feedback in a neural population. IEEE Transactions on Biomedical Engineering, 21, 358-364.
    • (1974) IEEE Transactions on Biomedical Engineering , vol.21 , pp. 358-364
    • Freeman, W.J.1
  • 12
    • 0018910566 scopus 로고
    • Control of repetitive firing in squid axon membrane as a model for a neuron oscillator
    • Gutman R., Lewis S., Rinzel J. Control of repetitive firing in squid axon membrane as a model for a neuron oscillator. Journal of Physiology (Lond.). 305:1980;377-395.
    • (1980) Journal of Physiology (Lond.) , vol.305 , pp. 377-395
    • Gutman, R.1    Lewis, S.2    Rinzel, J.3
  • 13
    • 21144480274 scopus 로고
    • Phase dynamics for weakly coupled Hodgkin-Huxley neurons
    • Hansel D., Mato G., Meunier C. Phase dynamics for weakly coupled Hodgkin-Huxley neurons. Europhysics Letters. 23:1993;367-372.
    • (1993) Europhysics Letters , vol.23 , pp. 367-372
    • Hansel, D.1    Mato, G.2    Meunier, C.3
  • 14
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in nerve
    • Hodgkin A.L., Huxley A.F. A quantitative description of membrane current and its application to conduction and excitation in nerve. Journal of Physiology. 117:1952;500-544.
    • (1952) Journal of Physiology , vol.117 , pp. 500-544
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 16
    • 85030201449 scopus 로고
    • Bifurcation diagram on nonlinear systems with impulsive external force
    • 19-21 Sept., Osaka
    • Kawakami, H., & Morimoto, O. (1994). Bifurcation diagram on nonlinear systems with impulsive external force. Neural Coding Workshop, 19-21 Sept., Osaka.
    • (1994) Neural Coding Workshop
    • Kawakami, H.1    Morimoto, O.2
  • 17
  • 18
    • 0014369772 scopus 로고
    • The repetitive impulse discharge of a simple neuron model compared to that of spinal motoneurons
    • Kernell D. The repetitive impulse discharge of a simple neuron model compared to that of spinal motoneurons. Brain Research. 11:1968;685-687.
    • (1968) Brain Research , vol.11 , pp. 685-687
    • Kernell, D.1
  • 19
    • 0028762647 scopus 로고
    • Excitatory amino acids as a final common pathway for neurologic disorders
    • Lipton S.A., Rosenberg P.A. Excitatory amino acids as a final common pathway for neurologic disorders. New England Journal of Medicine. 330:1994;613-622.
    • (1994) New England Journal of Medicine , vol.330 , pp. 613-622
    • Lipton, S.A.1    Rosenberg, P.A.2
  • 21
    • 0023162358 scopus 로고
    • Inhibitory control of local excitatory circuits in the guinea-pig hippocampus
    • Miles R., Wong R.K. Inhibitory control of local excitatory circuits in the guinea-pig hippocampus. Journal of Physiology (London). 388:1987;611-629.
    • (1987) Journal of Physiology (London) , vol.388 , pp. 611-629
    • Miles, R.1    Wong, R.K.2
  • 22
    • 0015307115 scopus 로고
    • On a response characteristic of mathematical neuron model
    • Nagumo J., Sato S. On a response characteristic of mathematical neuron model. Kybernetik. 10:1972;155-164.
    • (1972) Kybernetik , vol.10 , pp. 155-164
    • Nagumo, J.1    Sato, S.2
  • 23
    • 0015240722 scopus 로고
    • Recurrent excitation of secondary olfactory neurons: A possible mechanism of signal amplification
    • Nicoll R.A. Recurrent excitation of secondary olfactory neurons: a possible mechanism of signal amplification. Science. 171:1971;824-825.
    • (1971) Science , vol.171 , pp. 824-825
    • Nicoll, R.A.1
  • 24
  • 25
    • 0019526830 scopus 로고
    • A FitzHugh differential-difference equation modelling recurrent neural feedback
    • Plant R.E. A FitzHugh differential-difference equation modelling recurrent neural feedback. SIAM Journal of Applied Mathematics. 40:1981;150-162.
    • (1981) SIAM Journal of Applied Mathematics , vol.40 , pp. 150-162
    • Plant, R.E.1
  • 26
    • 0001120691 scopus 로고
    • Influence of discharge of motoneurons upon excitation of neighboring motoneurons
    • Renshaw B. Influence of discharge of motoneurons upon excitation of neighboring motoneurons. Journal of Neurophysiology. 4:1941;167-183.
    • (1941) Journal of Neurophysiology , vol.4 , pp. 167-183
    • Renshaw, B.1
  • 27
    • 0011797574 scopus 로고
    • Dynamics of analog to frequency transduction by excitable systems: Sensory receptors
    • Rovinsky A., Menzinger M. Dynamics of analog to frequency transduction by excitable systems: sensory receptors. Journal of Chemical Physics. 98:1993;9155-9166.
    • (1993) Journal of Chemical Physics , vol.98 , pp. 9155-9166
    • Rovinsky, A.1    Menzinger, M.2
  • 28
    • 0002811728 scopus 로고
    • What can neurons do to serve as integrating devices
    • Segundo J.P. What can neurons do to serve as integrating devices. Journal of Theoretical Neurobiology. 5:1986;1-59.
    • (1986) Journal of Theoretical Neurobiology , vol.5 , pp. 1-59
    • Segundo, J.P.1
  • 29
    • 0019861004 scopus 로고
    • A model of excitatory synaptic interactions between pacemakers. Its reality, its generality, and the principles involved
    • Segundo J.P., Kohn A.F. A model of excitatory synaptic interactions between pacemakers. Its reality, its generality, and the principles involved. Biological Cybernetics. 40:1981;113-126.
    • (1981) Biological Cybernetics , vol.40 , pp. 113-126
    • Segundo, J.P.1    Kohn, A.F.2
  • 32
    • 0011884481 scopus 로고
    • A biophysical analysis of mechano-electrical transduction
    • W. R. Loewenstein (Ed.) Heidelberg: Springer-Verlag
    • Teorell, T. (1971). A biophysical analysis of mechano-electrical transduction. In W. R. Loewenstein (Ed.), Handbook of sensory physiology (Vol. 1, pp. 291-339). Heidelberg: Springer-Verlag.
    • (1971) Handbook of Sensory Physiology , vol.1 , pp. 291-339
    • Teorell, T.1
  • 33
    • 0011837322 scopus 로고
    • The bifurcation of periodic solutions in the Hodgkin-Huxley equations
    • Troy W.C. The bifurcation of periodic solutions in the Hodgkin-Huxley equations. Quarterly Journal of Applied Mathematics. 36:1978;73-83.
    • (1978) Quarterly Journal of Applied Mathematics , vol.36 , pp. 73-83
    • Troy, W.C.1
  • 34
    • 0018079807 scopus 로고
    • Recurrent inhibition and after hyperpolarization effects of neuronal discharge
    • Tuckwell H.C. Recurrent inhibition and after hyperpolarization effects of neuronal discharge. Biological Cybernetics. 30:1978;115-123.
    • (1978) Biological Cybernetics , vol.30 , pp. 115-123
    • Tuckwell, H.C.1
  • 35
    • 0018359539 scopus 로고
    • Spikes separation in multiunits recordings: A multivariate analysis of spike descriptive parameters
    • Vibert J.-F., Costa J. Spikes separation in multiunits recordings: a multivariate analysis of spike descriptive parameters. Electroencephalogram and Clinical Neurophysiology. 47:1979;172-182.
    • (1979) Electroencephalogram and Clinical Neurophysiology , vol.47 , pp. 172-182
    • Vibert, J.-F.1    Costa, J.2
  • 36
    • 0018646152 scopus 로고
    • Recurrent inhibition: Its influence upon transduction and afferent discharges in slowly adapting stretch receptor organs
    • Vibert J.-F., Davis M., Segundo J.P. Recurrent inhibition: its influence upon transduction and afferent discharges in slowly adapting stretch receptor organs. Biological Cybernetics. 3:1979;167-178.
    • (1979) Biological Cybernetics , vol.3 , pp. 167-178
    • Vibert, J.-F.1    Davis, M.2    Segundo, J.P.3
  • 37
    • 0028082803 scopus 로고
    • Inter-neural delay modification synchronizes biologically plausible neurons
    • Vibert, J.-F., Pakdaman, K., & Azmy, N. (1994a). Inter-neural delay modification synchronizes biologically plausible neurons. Neural Networks, 7, 589-607.
    • (1994) Neural Networks , vol.7 , pp. 589-607
    • Vibert, J.-F.1    Pakdaman, K.2    Azmy, N.3
  • 38
    • 0002624459 scopus 로고
    • NBC: A workstation for biological neural network simulation
    • J. Skrzypek (Ed.) Boston, MA: Kluwer Academic Publishers
    • Vibert, J.-F., Pakdaman, K., Cloppet, F., & Azmy, N. (1994b). NBC: a workstation for biological neural network simulation. In J. Skrzypek (Ed.), Neural network simulation environments (pp. 113-132). Boston, MA: Kluwer Academic Publishers.
    • (1994) Neural Network Simulation Environments , pp. 113-132
    • Vibert, J.-F.1    Pakdaman, K.2    Cloppet, F.3    Azmy, N.4
  • 39
    • 0000911479 scopus 로고
    • Effects of antidromic conditioning on some motorneurons and interneurons
    • Wilson V.J., Burgess P.R. Effects of antidromic conditioning on some motorneurons and interneurons. Journal of Neurophysiology. 25:1962;636-650.
    • (1962) Journal of Neurophysiology , vol.25 , pp. 636-650
    • Wilson, V.J.1    Burgess, P.R.2
  • 40
    • 0001732823 scopus 로고
    • Models for the generation of the motor output pattern in flying locusts
    • Wilson D.M., Waldron I. Models for the generation of the motor output pattern in flying locusts. Proceedings of the IEEE. 56:1968;1058-1064.
    • (1968) Proceedings of the IEEE , vol.56 , pp. 1058-1064
    • Wilson, D.M.1    Waldron, I.2
  • 41
    • 0000764751 scopus 로고
    • The geometry of biological time
    • New York: Springer-Verlag
    • Winfree, A.T. (1980). The geometry of biological time. Biomathematics (Vol. 8). New York: Springer-Verlag.
    • (1980) Biomathematics , vol.8
    • Winfree, A.T.1
  • 42
    • 0002635898 scopus 로고
    • Multiple channels and calcium dynamics
    • C. Koch & I. Segev (Eds.) Cambridge, MA: MIT Press
    • Yamada, W.M., Koch, C., & Adams, P.R. (1989). Multiple channels and calcium dynamics. In C. Koch & I. Segev (Eds.), Methods in neuronal modelling (pp. 97-133). Cambridge, MA: MIT Press.
    • (1989) Methods in Neuronal Modelling , pp. 97-133
    • Yamada, W.M.1    Koch, C.2    Adams, P.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.