Abstract
This paper presents some systems theoretical and computational tools which allow for qualitative and quantitative models to explain the rate of firing (outputs) of ganglion retinal cells to various stimuli, mostly in higher vertebrates. Section 1 presents the neurophysiological bases of the formal tools, in which the main point is that specialized computation by some ganglion cells is to be performed at the inner plexiform layer, via amacrines. Section 2, presents the minima prerequisites for a qualitative model of linear and non-linear behavior of ganglia for higher vertebrates. The points here are that signals reaching the inner plexiform layer are fast and retarded versions of the input image, and that non-linear local lateral interaction accounts for non-linearities. Section 3, is devoted to computational representations that will permit to go from qualitative to quantitative formal models. The computational tools are based on generalized Newton Filters.
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References
Troy, J.B., Shou, T.: The Receptive Fields of Cat Retinal Ganglion Cells in Phisiological and Pathological States: Where We Are After Half a Century of Research. Progress in Retinal and Eye Research 21, 263–302 (2002)
Enroth-Cugell, C., Lennie, P.: The Control of Retinal Ganglion Cells Discharge by Receptive Field Surround. J. Physiol. 247, 551–578 (1975)
Winters, R.W., Hamasaki, D.I.: Temporal Characteristics of Peripheral Inhibition of Sustained and Transient Ganglion Cells in Cat’s Retina. Vision Research 16, 37–45 (1976)
Pearlman, A.L., Hughes, C.P.: Functional Role of Efferents to the Avian Retina. Comp. Neurol. 166, 111–112 (1976)
Bäckström, A.C., Reuter, T.: Rceptive Field Organization of Ganglion Cells in the Frog. J. Neurophysiol. 246, 79–107 (1975)
Mira, J., Moreno-Díaz, R.: Un Marco Teórico para Interpretar la Función Neuronal a Altos Niveles. In: Moreno-Díaz, R., Mira, J. (eds.) Biocibernética: Implicaciones en Biología, Medicina y Tecnología, Siglo XXI, Madrid, Spain, pp. 149–171 (1984)
Tessier-Lavigne, M.: Visual Processing in the Retina. In: Kandel, E.R., Schwartz, J.H., Jessell, T.M. (eds.) Principles of Neural Science, 4th edn., pp. 507–522. McGraw-Hill, New York (2000)
Marr, D.: Vision. WH Freeman, New York (1980)
Moreno-Díaz, R. (jr.): Computación Modular Distribuída: Relaciones Estructura Función en Retinas, pHD Thesis, Universidad de Las Palmas de Gran Canaria. Spain (1993)
Hammond, P.: Contrasts in Spatial Organization of Receptive Fields at Geniculate and Retinal Levels: Centre, Surround and Outer Surround. J. Physiol 228, 115–137
Li, C.-Y., Zhou, Y.-X., Pei, X., Qiu, F.-T., Tang, C.-Q., Xu, X.-Z.: Extensive Disinhibitory Region Beyond the Classical Receptive Field of Cat Retinal Ganglion Cells. Vision Res. 32, 219–228
Press, W.H., Flannery, B.P., Teukolsky, S.A., Vetterling, W.T.: Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd edn., p. 369. Cambridge University Press, Cambridge (1992)
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Moreno-Díaz, R., de Blasio, G. (2003). Systems and Computational Tools for Neuronal Retinal Models. In: Moreno-Díaz, R., Pichler, F. (eds) Computer Aided Systems Theory - EUROCAST 2003. EUROCAST 2003. Lecture Notes in Computer Science, vol 2809. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45210-2_45
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DOI: https://doi.org/10.1007/978-3-540-45210-2_45
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