Abstract
Fluctuations in the discharge of impulses were studied in eccentric cells of the compound eye of the horseshoe crab, Limulus polyphemus. A theory is presented which accounts for the variability in the response of the eccentric cell to light. The main idea of this theory is that the source of randomness in the impulse rate is "noise" in the generator potential. Another essential aspect of the theory is that the process which transforms the generator potential "noise" into the impulse rate fluctuations may be treated as a linear filter. These ideas lead directly to Fourier analysis of the fluctuations. Experimental verification of theoretical predictions was obtained by calculation of the variance spectrum of the impulse rate. The variance spectrum of the impulse rate is shown to be the filtered variance spectrum of the generator potential.
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Selected References
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- ADOLPH A. R. SPONTANEOUS SLOW POTENTIAL FLUCTUATIONS IN THE LIMULUS PHOTORECEPTOR. J Gen Physiol. 1964 Nov;48:297–322. doi: 10.1085/jgp.48.2.297. [DOI] [PMC free article] [PubMed] [Google Scholar]
- BULLER A. J., NICHOLLS J. G., STROM G. Spontaneous fluctuations of excitability in the muscle spindle of the frog. J Physiol. 1953 Nov 28;122(2):409–418. doi: 10.1113/jphysiol.1953.sp005011. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Barlow H. B., Levick W. R. Changes in the maintained discharge with adaptation level in the cat retina. J Physiol. 1969 Jun;202(3):699–718. doi: 10.1113/jphysiol.1969.sp008836. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Barlow R. B., Jr Inhibitory fields in the Limulus lateral eye. J Gen Physiol. 1969 Sep;54(3):383–396. doi: 10.1085/jgp.54.3.383. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Behrens M. E., Wulff V. J. Light-initiated responses of retinula and eccentric cells in the Limulus lateral eye. J Gen Physiol. 1965 Jul;48(6):1081–1093. doi: 10.1085/jgp.48.6.1081. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Geisler C. D., Goldberg J. M. A stochastic model of the repetitive activity of neurons. Biophys J. 1966 Jan;6(1):53–69. doi: 10.1016/S0006-3495(66)86639-0. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Knight B. W., Toyoda J. I., Dodge F. A., Jr A quantitative description of the dynamics of excitation and inhibition in the eye of Limulus. J Gen Physiol. 1970 Oct;56(4):421–437. doi: 10.1085/jgp.56.4.421. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Milkman N., Schoenfeld R. L. A digital programmer for stimuli and computer control in neurophysiological experiments. Ann N Y Acad Sci. 1966 Jan 31;128(3):861–875. doi: 10.1111/j.1749-6632.1965.tb11704.x. [DOI] [PubMed] [Google Scholar]
- Shapley R. Fluctuations in the response to light of visual neurones in Limulus. Nature. 1969 Feb 1;221(5179):437–440. doi: 10.1038/221437a0. [DOI] [PubMed] [Google Scholar]
- Stein R. B., Mattews P. B. Differences in variability of discharge frequency between primary and secondary muscle spindle afferent endings of the cat. Nature. 1965 Dec 18;208(5016):1217–1218. doi: 10.1038/2081217a0. [DOI] [PubMed] [Google Scholar]
- Stein R. B. Some models of neuronal variability. Biophys J. 2008 Dec 31;7(1):37–68. doi: 10.1016/S0006-3495(67)86574-3. [DOI] [PMC free article] [PubMed] [Google Scholar]
- WERNER G., MOUNTCASTLE V. B. NEURAL ACTIVITY IN MECHANORECEPTIVE CUTANEOUS AFFERENTS: STIMULUS-RESPONSE RELATIONS, WEBER FUNCTIONS, AND INFORMATION TRANSMISSION. J Neurophysiol. 1965 Mar;28:359–397. doi: 10.1152/jn.1965.28.2.359. [DOI] [PubMed] [Google Scholar]