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Spatial constraints underlying the retinal mosaics of two types of horizontal cells in cat and macaque

Published online by Cambridge University Press:  11 March 2008

STEPHEN J. EGLEN  and
JAMES C.T. WONG
STEPHEN J. EGLEN*
Affiliation:
Cambridge Computational Biology Institute, Department for Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, United Kingdom
JAMES C.T. WONG
Affiliation:
Cambridge Computational Biology Institute, Department for Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, United Kingdom
*
Address correspondence and reprint requests to: Stephen J. Eglen, Cambridge Computational Biology Institute, Department for Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom. E-mail: s.j.eglen@damtp.cam.ac.uk
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Abstract

Most types of retinal neurons are spatially positioned in non-random patterns, termed retinal mosaics. Several developmental mechanisms are thought to be important in the formation of these mosaics. Most evidence to date suggests that homotypic constraints within a type of neuron are dominant, and that heterotypic interactions between different types of neuron are rare. In an analysis of macaque H1 and H2 horizontal cell mosaics, Wässle et al. (2000) suggested that the high regularity index of the combined H1 and H2 mosaic might be caused by heterotypic interactions during development. Here we use computer modeling to suggest that the high regularity index of the combined H1 and H2 mosaic is a by-product of the basic constraint that two neurons cannot occupy the same space. The spatial arrangement of type A and type B horizontal cells in cat retina also follow this same principle.

Keywords

Horizontal cellsRetinal mosaicsMinimal distance model
Type
Brief Communication
Information
Visual Neuroscience , Volume 25 , Issue 2 , March 2008 , pp. 209 - 214
Copyright
Copyright © Cambridge University Press 2008

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References

REFERENCES

Ahnelt, P.K., Fernändez, E., Martinez, O., Bolea, J.A. & Kübber-Heiss, A. (2000). Irregular S-cone mosaics in felid retinas. Spatial interaction with axonless horizontal cells, revealed by cross correlation. Journal of the Optical Society of America A 17, 580–588.CrossRefGoogle ScholarPubMed
Cook, J.E. (1996). Spatial properties of retinal mosaics: An empirical evaluation of some existing measures. Visual Neuroscience 13, 15–30.CrossRefGoogle ScholarPubMed
Cook, J.E. (1998). Getting to grips with neuronal diversity. In Development and organization of the retina, ed. Chaulpa, L.M. & Finlay, B.L., pp. 91–120. New York: Plenum Press.CrossRefGoogle Scholar
de Lima, S.M.A., Ahnelt, P.K., Carvalho, T.O., Silveira, J.S., Rocha, F.A.F., Saito, C.A. & Silveira, L.C.L. (2005). Horizontal cells in the retina of a diurnal rodent, the agouti Dasyprocta aguti. Visual Neuroscience 22, 707–720.CrossRefGoogle ScholarPubMed
Eglen, S.J., Diggle, P.J. & Troy, J.B. (2005). Homotypic constraints dominate positioning of on-and off-centre beta retinal ganglion cells. Visual Neuroscience 22, 859–871.CrossRefGoogle Scholar
Eglen, S.J., Raven, M.A., Tamrazian, E. & Reese, B.E. (2003). Dopaminergic amacrine cells in the inner nuclear layer and ganglion cell layer comprise a single functional retinal mosaic. Journal of Comparative Neurology 466, 343–355.CrossRefGoogle ScholarPubMed
Fortune, S.J. (1987). A sweepline algorithm for Voronoi diagrams. Algorithmica 2, 153–172.CrossRefGoogle Scholar
Galli-Resta, L., Resta, G., Tan, S.-S. & Reese, B.E. (1997). Mosaics of Islet-1-expressing amacrine cells assembled by short-range cellular interactions. Journal of Neuroscience 17, 7831–7838.CrossRefGoogle ScholarPubMed
Kouyama, N. & Marshak, D.W. (1997). The topographical relationship between two neuronal mosaics in the short wavelength-sensitive system of the primate retina. Visual Neuroscience 14, 159–167.CrossRefGoogle ScholarPubMed
Mack, A.F. (2007). Evidence for a columnar organization of cones, Müller cells, and neurons in the retina of a cichlid fish. Neuroscience 144, 1004–1014.CrossRefGoogle ScholarPubMed
R Development Core Team. (2007). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN3-900051-07-0.Google Scholar
Reese, B.E., Necessary, B.D., Tam, P.P.L., Faulkner-Jones, B. & Tan, S.-S. (1999). Clonal expansion and cell dispersion in the developing mouse retina. European Journal of Neuroscience 11, 2965–2978.CrossRefGoogle ScholarPubMed
Ripley, B.D. (1976). The second-order analysis of stationary point processes. Journal of Applied Probability 13, 255–266.CrossRefGoogle Scholar
Ripley, B.D. (1977). Modelling spatial patterns (with discussion). Journal of the Royal Statistical Society B 39, 172–212.Google Scholar
Rockhill, R.L., Euler, T. & Masland, R.H. (2000). Spatial order within but not between types of retinal neurons. Proceedings of the National Academy of Sciences of the U.S.A. 97, 2303–2307.CrossRefGoogle Scholar
Rowlingson, B.S. & Diggle, P.J. (1993). Splancs: Spatial point pattern analysis code in S-Plus. Computers and Geosciences 19, 627–655.CrossRefGoogle Scholar
Silveira, L.C.L., Yamada, E.S. & Picanço-Diniz, C.W. (1989). Displaced horizontal cells and biplexiform horizontal cells in the mammalian retina. Visual Neuroscience 3, 483–488.CrossRefGoogle ScholarPubMed
Wässle, H., Boycott, B.B. & Illing, R.B. (1981). Morphology and mosaic of on-beta and off-beta cells in the cat retina and some functional considerations. Proceedings of the Royal Society of London Series B 212, 177–195.CrossRefGoogle ScholarPubMed
Wässle, H., Dacey, D.M., Haun, T., Haverkamp, S., Grünert, U. & Boycott, B.B. (2000). The mosaic of horizontal cells in the macaque monkey retina: With a comment on biplexiform ganglion cells. Visual Neuroscience 17, 591–608.CrossRefGoogle ScholarPubMed
Wässle, H., Peichl, L. & Boycott, B.B. (1978). Topography of horizontal cells in the retina of the domestic cat. Proceedings of the Royal Society of London Series B 203, 269–291.CrossRefGoogle ScholarPubMed
Wässle, H. & Riemann, H.J. (1978). The mosaic of nerve cells in the mammalian retina. Proceedings of the Royal Society of London Series B 200, 441–461.CrossRefGoogle ScholarPubMed