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Original Article

Analysis of the elastic net model applied to the formation of ocular dominance and orientation columns

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Pages 153-168 | Received 06 Apr 2000, Published online: 09 Jul 2009

References

  • Blasdel G G, Obermayer K, Kiorpes L. Organization of ocular dominance and orientation columns in the striate cortex of neonatal macaque monkeys. Visual Neurosci. 1995; 12: 589–603
  • Chapman B, Stryker M P, Bonhoeffer T. Development of orientation preference maps in ferret primary visual cortex. J. Neurosci. 1996; 16: 6443–53
  • Crair M C, Gillespie D C, Stryker M P. The role of visual experience in the development of columns in cat visual cortex. Science 1998; 279: 566–70
  • Crawford M L. Column spacing in normal and visually deprived monkeys. Exp. Brain Res. 1998; 123: 282–8
  • Crowley J C, Katz L C. Development of ocular dominance columns in the absence of retinal input. Nature Neurosci. 1999; 2: 1125–30
  • Das A, Gilbert C D. Distortions of visuotopic map match orientation singularities in primary visual cortex. Nature 1997; 387: 594–8
  • Dayan P S. Arbitrary elastic topologies and ocular dominance. Neural Comput. 1993; 5: 392–401
  • Durbin R, Mitchison G. A dimension reduction framework for understanding cortical maps. Nature 1990; 343: 644–7
  • Durbin R, Szeliski R, Yuille A. An analysis of the elastic net approach to the travelling salesman problem. Neural Comput. 1989; 1: 348–58
  • Durbin R, Willshaw D J. An analogue approach to the travelling salesman problem using an elastic net method. Nature 1987; 326: 689–91
  • Erwin E, Obermayer K, Schulten K. Models of orientation and ocular dominance columns in the visual cortex: a critical comparison. Neural Comput. 1995; 7: 425–68
  • Goodhill G J. Correlations, competition and optimality: modelling the development of topography and ocular dominance. University of Sussex Cognitive Science Research Paper. 1992, CSRP 226
  • Goodhill G J. The influence of neural activity and intracortical interactions on the periodicity of ocular dominance stripes. Network: Comput. Neural Syst. 1998; 9: 419–32
  • Goodhill G J, Bates K R, Montague P R. Influences on the global structure of cortical maps. Proc. R. Soc. B. 1997; 264: 649–55
  • Goodhill G J, Finch S, Sejnowski T J. Optimizing cortical mappings. Advances in Neural Information Processing Systems, D S Touretzky, M C Mozer, M E Hasselmo. MIT Press, Cambridge, MA 1996; 8: 330–6
  • Goodhill G J, Richards L J. Retinotectal maps: molecules, models, and misplaced data. Trends Neurosci. 1999; 22: 529–34
  • Goodhill G J, Willshaw D J. Application of the elastic net algorithm to the formation of ocular dominance stripes. Network: Comput. Neural Syst. 1990; 1: 41–59
  • Goodhill G J, Willshaw D J. Elastic net model of ocular dominance: overall stripe pattern and monocular deprivation. Neural Comput. 1994; 6: 615–21
  • Hoffsümmer F, Wolf F, Geisel T, Löwel S, Schmidt K. Sequential bifurcation of orientation—and ocular dominance maps. ICANN95: Proc. Int. Conf. On Artificial Neural Networks (Paris, 1995). 1995; 1: 35
  • Hoffsümmer F, Wolf F, Geisel T, Löwel S, Schmidt K. Sequential bifurcation and dynamic rearrangement of columnar patterns during cortical development. Computational Neuroscience: Trends in Research 1995, J Bower. Academic, New York 1996; 197–202
  • Horton J C, Hocking D R. An adult-like pattern of ocular dominance columns in striate cortex of newborn monkeys prior to visual experience. J. Neurosci. 1996a; 16: 1791–807
  • Horton J C, Hocking D R. Intrinsic variability of ocular dominance column periodicity in normal macaque monkeys. J. Neurosci. 1996b; 16: 7228–39
  • Horton J C, Hocking D R, Adams D L. Comparison of ocular dominance columns in normal and strabismic squirrel monkeys. Soc. Neurosci. Abstracts 1999; 25: 1808
  • Hübener M, Shoham D, Grinvald A, Bonhoeffer T. Spatial relationships among three columnar systems in cat area 17. J. Neurosci. 1997; 17: 9270–84
  • Kohonen T. Self-organized formation of topologically correct feature maps. Biol. Cybernet. 1982; 43: 59–69
  • LeVay S, Stryker M P, Shatz C J. Ocular dominance columns and their development in layer IV of the cat's visual cortex: a quantitative study. J. Comput. Neurol. 1978; 179: 223–44
  • Löwel S. Ocular dominance column development: strabismus changes the spacing of adjacent columns in cat visual cortex. J. Neurosci. 1994; 14: 7451–68
  • Löwel S, Bischof H J, Leutenecker B, Singer W. Topographic relations between ocular dominance and orientation columns in the cat striate cortex. Exp. Brain Res. 1988; 71: 33–46
  • Löwel S, Freeman B, Singer W. Topographic organization of the orientation column system in the large flat-mounts of the cat visual cortex: a 2-deoxyglucose study. J. Comput. Neurol. 1987; 255: 401–15
  • Löwel S, Schmidt K E, Kim D-S, Wolf F, Hoffsümmer F, Singer W, Bonhoeffer T. The layout of orientation and ocular dominance domains in area 17 of strabismic cats. Eur. J. Neurosci. 1998; 10: 2629–43
  • Mitchison G, Swindale N V. Can Hebbian volume learning explain discontinuities in cortical maps?. Neural Comput. 1999; 11: 1519–26
  • Murphy K M, Jones D G, Fenstemaker S B, Pegado V D, Kiorpes L, Movshon J A. Spacing of cytochrome oxidase blobs in visual cortex of normal and strabismic monkeys. Cerebral Cortex 1998; 8: 237–44
  • Obermayer K, Blasdel G G. Geometry of orientation and ocular dominance columns in monkey striate cortex. J. Neurosci. 1993; 13: 4114–29
  • Obermayer K, Blasdel G G, Schulten K. Statistical—mechanical analysis of self-organization and pattern formation during the development of visual maps. Phys. Rev. 1992; 45: 7568–89
  • Rao S C, Toth L J, Sur M. Optically imaged maps of orientation preference in primary visual cortex of cats and ferrets. J. Comput. Neurol. 1997; 387: 358–70
  • Roe A W, Ts'o D Y. Visual topography in primate V2: multiple representations across functional stripes. J. Neurosci. 1995; 15: 3689–715
  • Rose K. Deterministic annealing for clustering, compression, classification, regression and related optimization problems. Proc.IEEE. 1998; 86: 2210–39
  • Simic P D. Statistical mechanics as the underlying theory of ‘elastic’ and ‘neural’ optimizations. Network: Comput. Neural Syst. 1990; 1: 89–103
  • Simmen M W. Parameter sensitivity of the elastic net approach to the travelling salesman problem. Neural Comput. 1991; 3: 363–74
  • Swindale N V. A model for the formation of orientation columns. Proc. R. Soc.. 1982; 215: 211–30
  • Swindale N V. The development of topography in the visual cortex: a review of models. Network: Comput. Neural Syst. 1996; 7: 161–24
  • Tieman S B, Tumosa N. Alternating monocular exposure increases the spacing of ocularity domains in area 17 of cats. Visual Neurosci. 1997; 14: 929–38
  • Wiesel T N, Hubel D H. Ordered arrangement of orientation columns in monkeys lacking visual experience. J. Comput. Neurol. 1974; 158: 307–18
  • Wolf F, Geisel T. Spontaneous pinwheel annihilation during visual development. Nature 1998; 395: 73–8
  • Yuille A L. Generalized deformable models, statistical physics, and matching problems. Neural Comput. 1990; 2: 1–24
  • Yuille A L, Kolodny J A, Lee C W. Dimension reduction, generalized deformable models and the development of ocularity and orientation. Neural Networks 1996; 9: 309–19

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