Abstract
Sinusoidally modulated current, I=A cos(2πft)+C, for A/C>1/3, was injected into the soma of an identified molluscan neurone, for frequencies that gave about one action potential/cycle. Phase locked responses were characterised by the 1:1 phase-locking-phase angle; some entrained response were not phase-locked, and some responses were not periodic. These oscillatory free runs and non-periodic responses are the result of the internal noise that is also responsible for the variability of the endogenous discharge of the neurone.
Similar content being viewed by others
References
Angelini, F., Petracchi, D.: Significance of phase locking measurements as a test for neural encoding models. Biol. Cybern. 30, 169–177 (1978)
Ascoli, C., Barbi, M., Chillemi, S., Petracchi, D.: Phase-locked responses in the Limulus lateral eye. Theoretical and experimental investigation. Biophys. J. 19, 219–240 (1977)
Ascoli, C., Barbi, M., Frediani, C., Ghelardini, G., Petracchi, D.: Rectification and spike synchronisation in the Limulus lateral eye. Kybernetik 14, 155–160 (1974)
Fohlmeister, J.F., Poppele, R.E., Purple, R.L.: Repetitive firing: dynamic behaviour of sensory neurones reconciled with a quantitative model. J. Neurophysiol. 37, 1213–1227 (1974)
Fohlmeister, J.F., Poppele, R.E., Purple, R.L.: Repetitive firing: a quantitative study of feedback in model encoders. J. Gen. Physiol. 69, 815–848 (1977)
French, A.S., Holden, A.V., Stein, R.B.: The estimation of the frequency response function of a mechanoreceptor. Kybernetik 11, 15–23 (1972)
Glass, L., Graves, C., Petrillo, G.A., Mackey, M.C.: Unstable dynamics of a periodically driven oscillator in the presence of noise. J. Theor. Biol. 86, 455–475 (1980)
Glass, L., Mackey, M.C.: A simple model for phaselocking of biological oscillators. J. Math. Biol. 7, 339–352 (1979)
Guttman, R., Feldman, L., Jakobsson, E.: Frequency entrainment of squid axon membrane. J. Membrane Biol. 56, 9–18 (1980)
Holden, A.V.: The response of excitable membrane models to a cyclic input. Biol. Cybern. 21, 1–7 (1976)
Holden, A.V.: Autorhythmicity and entrainment in excitable membranes. Biol. Cybern. 38, 1–8 (1980)
Holden, A.V., Ramadan, S.M.: Identification of endogenous and exogenous activity in a molluscan neurone by spike train analysis. Biol. Cybern. 37, 107–114 (1980)
Holden, A.V., Ramadan, S.M.: Linear systems identification of neurones-deterministic methods. J. Electrophysiological Techniques (in press) (1981a)
Holden, A.V., Ramadan, S.M.: Repetitive activity of a molluscan neurone evoked by maintained currents. (In preparation) (1981b)
Hung, G., Stark, L.: The kernel identification method (1910–1977) Review of theory, calculation, application, and interpretation. Math. Biosci. 37, 135–190 (1977)
Knight, B.W.: Dynamics of encoding in a population of neurones. J. Gen. Physiol. 59, 734–766 (1972)
Marmarelis, P.Z., Marmarelis, V.Z.: Analysis of physiological systems — The white noise approach. 487 pp. New York: Plenum 1978
Palm, G., Poggio, T.: Wiener-like system identification in physiology. J. Math. Biol. 4, 375–381 (1977)
Partridge, L.D.: A possible source of nerve signal distortion arising in pulse rate encoding of signals. J. Theor. Biol. 11, 257–281 (1966)
Poppele, R.E., Chen, W.J.: Repetitive firing behaviour of mammalian muscle spindle. J. Neurophysiol. 35, 357–364 (1972)
Pringle, J.W.S., Wilson, V.J.: The response of a sense organ to a harmonic stimulus. J. Exp. Biol. 29, 220–234 (1952)
Rescigno, A.: On phase-locking of pulse encoders. Bull. Math. Biol. 40, 807–821 (1978)
Rescigno, A., Stein, R.B., Purple, R.L., Poppele, R.E.: A neuronal model for the discharge patterns produced by cyclic inputs. Bull. Math. Biophys. 32, 337–353 (1970)
Rose, J.E., Brugge, J.F., Anderson, D.J., Hind, J.E.: Phase-locked response to low frequency tones in single auditory fibres of the squirrel monkey. J. Neurophysiol. 30, 769–793 (1967)
Spekreijse, H., Oosting, H.: Linearsing: a method for analysing and synthesising nonlinear systems. Kybernetik 7, 22–31 (1970)
Stein, R.B., French, A.S., Holden, A.V.: The frequency response, coherence and information capacity of two neuronal models. Biophys. J. 12, 295–322 (1972)
Talbot, W.H., Darian-Smith, I., Kornhuber, H.H., Mountcastle, V.B.: The sense of flutter vibration: comparison of the human capacity with response patterns of mechanoreceptive afferents from the monkey hand. J. Neurophysiol. 31, 302–334 (1968)
Victor, J.D., Knight, B.W.: Nonlinear analysis with an arbitrary stimulus ensemble. Quart. Appl. Math. 37, 113–136 (1979)
Winlow, W., Benjamin, P.R.: Neuronal mapping of the brain of the pond-snail, Lymnaea stagnalis. In: Neurobiology of Invertebrates; Gastropoda Brain. Salanki, J. (ed.) pp. 41–59. Budapest: Akadémiai Kiado 1975
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Holden, A.V., Ramadan, S.M. The response of a molluscan neurone to a cyclic input: Entrainment and phase-locking. Biol. Cybern. 41, 157–163 (1981). https://doi.org/10.1007/BF00340317
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00340317