Biological Cybernetics

, Volume 53, Issue 3, pp 173–187 | Cite as

Effects of electrical coupling on the cone-horizontal cell circuit in the catfish retina

  • Robert Siminoff
Article

Abstract

Based on experimental data, a model of the cone-horizontal cell (L-HC) circuit has been developed for the luminosity channel of the catfish retina and impulse responses of cones and L-HC's were replicated for various experimental conditions. Negative feedback from L-HC to the cone pedicle and increases in the dc levels of L-HC (H0), that produce increases in the feedback gain, convert monophasic impulse responses to those that are biphasic, smaller and faster. Electrical coupling of cones and L-HC's lead to decremental spread of 2 radially outgoing waves with time courses of the coupled cones and L-HC's dependent on the spatial organization of the negative feedback circuit: however, the L-HC's impulse response on spreading outward shows an initial increase before decreasing. Interactions of the cone and L-HC waves were studied using Laplace transforms and the convolution theorem. The presence of a negative feedback circuit leads to deviations of the electrotonic decay from an exponential function. As a result of the dependency of the feedback gain on H0, electrical coupling introduces non-linearities in the cone-L-HC circuit that are dependent on the mean illuminance level.

Keywords

Retina Convolution Negative Feedback Impulse Response Initial Increase 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Baylor DA, Fuortes MGF, O'Bryan PM (1971) Receptive fields of cones in the retina of the turtle J Physiol 214:265–294Google Scholar
  2. Detweiler PB, Hodgkin AL (1979) Electrical coupling between cones in turtle retina. J Physiol 291:75–100Google Scholar
  3. Lamb TD, Simon EJ (1976) The relationship between intracellular coupling and electrical noise in turtle photoreceptors. J Physiol 263:257–286Google Scholar
  4. O'Bryan PM (1973) Properties of the depolarizing synaptic potentials evoked by peripheral illumination in cones of the turtle retina. J Physiol 235:207–223Google Scholar
  5. Siminoff R (1980) Modeling of the vertebrate visual system 1. Wiring diagram of the cone retina. J Theor Biol 86:673–708Google Scholar
  6. Siminoff R (1980) Modeling of the vertebrate visual system 3. Topological analysis of the cone mosaic. J Theor Biol 91:437–476Google Scholar
  7. Siminoff R (1983) Systems analysis of an analog model of the vertebrate retina. IEEE Trans SMC-13, 1021–1028Google Scholar
  8. Siminoff R (1984) Systems analysis of the generalized vertebrate cone retina. Part A: Mathematical derivations. J Theor Neurobiol 3:115–138Google Scholar
  9. Siminoff R (1985a) Model of the cone-horizontal cell circuit in the catfish retina. Biol Cybern 51:363–374Google Scholar
  10. Siminoff R (1985b) Dynamics of the cone-horizontal cell circuit in the turtle retina. Biol Cybern 52:1–14Google Scholar
  11. Siminoff R (1985c) Modeling the effects of a negative feedback circuit from horizontal cells to cones on the impulse responses of cones and horizontal cells. Biol Cybern 52:307–313Google Scholar
  12. Torre V, Owen WG, Sandini G (1983) The dynamics of electrical interacting cells. IEEE Trans SMC-13, 757–765Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Robert Siminoff
    • 1
  1. 1.Department of Information Sciences, Faculty of EngineeringTohoku UniversitySendaiJapan

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