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. 1975 Jun 1;65(6):709–730. doi: 10.1085/jgp.65.6.709

Mach bands in the lateral eye of Limulus

PMCID: PMC2214890  PMID: 172594

Abstract

Patterns of optic nerve activity were computed for stationary step patterns of illumination from theoretical models of lateral inhibiton based on revised Hartlin-Ratliff equations. The computed response patterns contain well-defined Mach bands which match closely in amplitude and shape those recorded from single optic nerve fibers of the Limulus lateral eye. Theory and experiment show that the amplitude of the Mach bands is reduced by in inhibitory nonlinearity, the width of the Mach bands is approximately equal to the lateral dimension of the inhibitory field, but the shapes of the Mach bands are poor indices of the precise configuration of the inhibitory field. Theorems are proved establishing the equivalence of Mach-band patterns for models of different dimensions and a uniqueness condition for solutions of the piecewise linear model.

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Selected References

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  1. 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]
  2. Barlow R. B., Jr, Kaplan E. Limulus lateral eye: properties of receptor units in the unexcised eye. Science. 1971 Dec 3;174(4013):1027–1029. doi: 10.1126/science.174.4013.1027. [DOI] [PubMed] [Google Scholar]
  3. Barlow R. B., Jr, Lange G. D. A nonlinearity in the inhibitory interactions in the lateral eye of limulus. J Gen Physiol. 1974 May;63(5):579–589. doi: 10.1085/jgp.63.5.579. [DOI] [PMC free article] [PubMed] [Google Scholar]
  4. HARTLINE H. K., RATLIFF F. Spatial summation of inhibitory influences in the eye of Limulus, and the mutual interaction of receptor units. J Gen Physiol. 1958 May 20;41(5):1049–1066. doi: 10.1085/jgp.41.5.1049. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. HARTLINE H. K., WAGNER H. G., RATLIFF F. Inhibition in the eye of Limulus. J Gen Physiol. 1956 May 20;39(5):651–673. doi: 10.1085/jgp.39.5.651. [DOI] [PMC free article] [PubMed] [Google Scholar]
  6. Hadeler K. P. On the theory of lateral inhibition. Kybernetik. 1974 Mar 13;14(3):161–165. doi: 10.1007/BF00288918. [DOI] [PubMed] [Google Scholar]
  7. Kirschfeld K., Reichardt W. Die Verarbeitung stationärer optischer Nachrichten im Komplexauge von Limulus (Ommatidien-Sehfeld und räumliche Verteilung der Inhibition) Kybernetik. 1964 Jun;2(2):43–61. doi: 10.1007/BF00288558. [DOI] [PubMed] [Google Scholar]
  8. LOWRY E. M., DEPALMA J. J. Sine-wave response of the visual system. I. The Mach phenomenon. J Opt Soc Am. 1961 Jul;51:740–746. doi: 10.1364/josa.51.000740. [DOI] [PubMed] [Google Scholar]
  9. RATLIFF F., HARTLINE H. K. The responses of Limulus optic nerve fibers to patterns of illumination on the receptor mosaic. J Gen Physiol. 1959 Jul 20;42(6):1241–1255. doi: 10.1085/jgp.42.6.1241. [DOI] [PMC free article] [PubMed] [Google Scholar]

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