The spontaneous neuron subject to tonic stimulation.

Abstract An examination of the consequences of several three-parameter models which have been proposed to account for the discharge patterns of spontaneous neurons has demonstrated that only one of these models is compatible, in detail, with the changes in regularity of discharge which have been observed in certain cells, as a function of intensity of tonic stimulation. This model involves an exponential (e − kt ) recovery of sensitivity, following discharge, and a “noise” process which is seemingly of large magnitude. It is suggested that the recovery process could be related to after-hyperpolarization; and that the noise may reside in extremely local (i.e. very small-scale) variations in membrane parameters. Two consequences of the model are derived: that the relationship between intensity of tonic input and frequency of discharge may be represented by either an exponential function or a logarithmic function, depending upon the initial state of the neuron; and that regularity of discharge is inversely related to sensitivity of the neuron to tonic stimulation.

[1]  V. Mountcastle,et al.  NEURAL ACTIVITY IN MECHANORECEPTIVE CUTANEOUS AFFERENTS: STIMULUS-RESPONSE RELATIONS, WEBER FUNCTIONS, AND INFORMATION TRANSMISSION. , 1965, Journal of neurophysiology.

[2]  R. Stein Some models of neuronal variability. , 1967, Biophysical journal.

[3]  S. Hagiwara,et al.  Analysis of interval fluctuation of the sensory nerve impulse. , 1954, The Japanese journal of physiology.

[4]  R W RODIECK,et al.  Some quantitative methods for the study of spontaneous activity of single neurons. , 1962, Biophysical journal.

[5]  M. Fuortes,et al.  Interpretation of the Repetitive Firing of Nerve Cells , 1962, The Journal of general physiology.

[6]  R. Stein A THEORETICAL ANALYSIS OF NEURONAL VARIABILITY. , 1965, Biophysical journal.

[7]  J. Platt Strong Inference: Certain systematic methods of scientific thinking may produce much more rapid progress than others. , 1964, Science.

[8]  J. Nicholls,et al.  Spontaneous fluctuations of excitability in the muscle spindle of the frog , 1953, The Journal of physiology.

[9]  M. Hoopen,et al.  Probabilistic firing of neurons considered as a first passage problem. , 1966, Biophysical journal.

[10]  G. P. Moore,et al.  Interspike interval fluctuations in aplysia pacemaker neurons. , 1966, Biophysical journal.

[11]  A model illustrating some aspects of muscle spindle physiology. , 1965, The Journal of physiology.

[12]  C. D. Geisler,et al.  A stochastic model of the repetitive activity of neurons. , 1966, Biophysical journal.

[13]  G. P. Moore,et al.  Statistical analysis and functional interpretation of neuronal spike data. , 1966, Annual review of physiology.

[14]  B. Mandelbrot,et al.  RANDOM WALK MODELS FOR THE SPIKE ACTIVITY OF A SINGLE NEURON. , 1964, Biophysical journal.

[15]  A. A. Verveen,et al.  Fluctuations of Resting Neural Membrane Potential , 1966, Science.

[16]  M. Ten Hoopen ON AN IMPULSE INTERVAL GENERATING MECHANISM. , 1964 .

[17]  J. Goldberg,et al.  RESPONSE OF NEURONS OF THE SUPERIOR OLIVARY COMPLEX OF THE CAT TO ACOUSTIC STIMULI OF LONG DURATION. , 1964, Journal of neurophysiology.

[18]  Sir John C. Eccles The Neurophysiological Basis of Mind , 1953 .

[19]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1951 .