Abstract
In this paper we examine the use of a symmetric binary random stimulus for eliciting the ERG, and for calculating the first-order and second-order kernels of a nonlinear functional expansion of the response. We show that if the stimulus is represented in a non-dimensional form, then the units in which all kernels are measured are the same as the units used to measure the response, microvolts in the case of the ERG: further, contributions from all kernels to the response can be added without scale factors. We present the first-order and second-order kernels measured for a population of 15 normal subjects in a clinical setting. The measurements were made at various levels of adaptation ranging from photopic to scotopic conditions. The second-order kernels illustrate the processes of rapid adaptation (<100 ms) in the retina.
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References
Armington, J.: The electroretinogram. New York: Academic Press 1974
Declerq, S.S.: The coating agent on the corneal contact lens in electroretinography. Am. J. Ophthalmol. 83, 267–271 (1977)
Fricker, S.J., Sanders, J.J.: A new method of cone electroretinography: the rapid random flash response. Invest. Ophthalmol. 14, 131–137 (1975)
Fricker, S.J., Sanders, J.J.: Clinical studies of the evoked response to rapid random flashes. Electroencephalogr. Clin. Neurophysiol. 36, 525–532 (1974)
Gouras, P.: Electroretinography: some basic principles. Invest. Ophthalmol. 9, 557–569 (1970)
Klein, S., Yasui, S.: Nonlinear systems analysis with non-gaussian white stimuli: general basis functionals and kernels. IEEE Trans. Inf. Theory 25, 495–500 (1979)
Koblasz, A.J.: Nonlinearities of the human ERG reflected by Wiener kernels. Biol. Cybernetics 31, 187–191 (1978)
Krill, A.E.: Hereditary retinal and choroidal diseases. Hagerstown, Md.: Harper & Row 1972
Krill, A.E.: The eletroretinogram and electro-oculogram: clinical applications. Invest. Ophthalmol. 9, 600–617 (1970)
Lee, Y.W., Schetzen, M.: Measurement of the kernels of a non-linear system by crosscorrelation. Quarterly progress report No. 60, Research Labs of Electronics. Cambridge, Mass.: M.I.T. Press 1961
Lee, Y.W., Schetzen, M.: Measurement of the Wiener kernels of a nonlinear system by crosscorrelation. Int. J. Control 2, 237–254 (1975)
Marmarelis, P.Z.: Nonlinear identification of bioneuronal systems through white noise stimulation. 13th Joint Automatic Control Conference, 117–126, Stanford University, 1972
Marmarelis, P.Z., Marmarelis, V.Z.: Analysis of physiological systems. New York: Plenum Press 1978
Marmarelis, P.Z., Naka, K.: White noise analysis of a neuron chain: an application of the Wiener theory. Science 175, 1276–1278 (1972)
McCann, G.D.: Nonlinear identification theory models for successive stages of the visual nervous systems of flies. J. Neurophysiol. 37, 869–895 (1974)
Palm, G., Poggio, T.: The Volterra representation and the Wiener expansion: validity and pitfalls. SIAM J. Appl. Math. 33, 195–216 (1977)
Schweitzer, N.M.J., Troelstra, A.: The electroretinographic response to weak stimuli of large subtense. Doc. Ophthalmol. 20, 365–378 (1966)
Troelstra, A.: Electrical response of the human eye to sinusoidal light stimulation. IEEE BioMed. 22, 369–378 (1975)
Troelstra, A.: Harmonics distortion in the frog's ERG and its possible relation to differences in latencies. Vision Res. 11, 393–403 (1971)
Troelstra, A., Schweitzer, N.M.J.: Nonlinear analysis of the electroretinographic B-wave in man. J. Neurophysiol. 31, 588–606 (1968)
Troelstra, A., Schweitzer, N.M.J.: On the relationship between the single flash ERG and the ERG elicited by more complex stimuli. Doc. Ophthalmol. 18, 114–127 (1964)
Volterra, V.: Theory of functionals and of integral and integrodifferential equations. New York: Dover Publ. 1959
Wiener, N.: Nonlinear problems in random theory. New York: Wiley 1958
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This research was supported in part by Grants No. EY01526, EY01774, EY01775, and RR07003 from the National Institutes of Health
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Larkin, R.M., Klein, S., Ogden, T.E. et al. Nonlinear kernels of the human ERG. Biol. Cybernetics 35, 145–160 (1979). https://doi.org/10.1007/BF00337060
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DOI: https://doi.org/10.1007/BF00337060