A model for the development of simple cell receptive fields and the ordered arrangement of orientation columns through activity-dependent competition between ON- and OFF-center inputs

Neurons in the primary visual cortex of higher mammals respond selectively to light/dark borders of a particular orientation. The receptive fields of simple cells, a type of orientation-selective cell, consist of adjacent, oriented regions alternately receiving ON-center and OFF-center excitatory input. I show that this segregation of inputs within receptive fields can occur through an activity-dependent competition between ON-center and OFF-center inputs, just as segregation of inputs between different postsynaptic cells into ocular dominance columns appears to occur through activity-dependent competition between left-eye and right-eye inputs. These different outcomes are proposed to result, not from different mechanisms, but from different spatial structures of the correlations in neural activity among the competing inputs in each case. Simple cells result if ON-center inputs are best correlated with other ON-center inputs, and OFF with OFF, at small retinotopic separations, but ON-center inputs are best correlated with OFF-center inputs at larger separations. This hypothesis leads robustly to development of simple cell receptive fields selective for orientation and spatial frequency, and to the continuous and periodic arrangement of preferred orientation across the cortex. Input correlations determine the mean preferred spatial frequency and degree of orientation selectivity. Estimates of these correlations based on measurements in adult cat retina (Mastronarde, 1983a,b) produce quantitative predictions for the mean preferred spatial frequencies of cat simple cells across eccentricities that agree with experiments (Movshon et al., 1978b). Intracortical interactions are the primary determinant of cortical organization. Simple cell spatial phases can play a key role in this organization, so arrangements of spatial phases and preferred orientations may need to be studied together to understand either alone. Possible origins for other cortical features including spatial frequency clusters, afferent ON/OFF segregation, blobs, pinwheels, and opponent inhibition within simple cell receptive fields are suggested. A number of strong experimental tests of the hypothesis are proposed.

[1]  D. Hubel,et al.  Receptive fields of single neurones in the cat's striate cortex , 1959, The Journal of physiology.

[2]  D. Hubel,et al.  Integrative action in the cat's lateral geniculate body , 1961, The Journal of physiology.

[3]  D. Hubel,et al.  Receptive fields, binocular interaction and functional architecture in the cat's visual cortex , 1962, The Journal of physiology.

[4]  D. Hubel,et al.  RECEPTIVE FIELDS OF CELLS IN STRIATE CORTEX OF VERY YOUNG, VISUALLY INEXPERIENCED KITTENS. , 1963, Journal of neurophysiology.

[5]  P. Hartman Ordinary Differential Equations , 1965 .

[6]  D. Hubel,et al.  Comparison of the effects of unilateral and bilateral eye closure on cortical unit responses in kittens. , 1965, Journal of neurophysiology.

[7]  D. Hubel,et al.  Receptive fields and functional architecture of monkey striate cortex , 1968, The Journal of physiology.

[8]  R. Guillery Binocular competition in the control of geniculate cell growth , 1972, The Journal of comparative neurology.

[9]  D. Hubel,et al.  Ordered arrangement of orientation columns in monkeys lacking visual experience , 1974, The Journal of comparative neurology.

[10]  D. Hubel,et al.  Uniformity of monkey striate cortex: A parallel relationship between field size, scatter, and magnification factor , 1974, The Journal of comparative neurology.

[11]  C. Blakemore,et al.  Innate and environmental factors in the development of the kitten's visual cortex. , 1975, The Journal of physiology.

[12]  P Lennie,et al.  The control of retinal ganglion cell discharge by receptive field surrounds. , 1975, The Journal of physiology.

[13]  R. Pérez,et al.  Development of Specificity in the Cat Visual Cortex , 1975, Journal of mathematical biology.

[14]  P. Schiller,et al.  Quantitative studies of single-cell properties in monkey striate cortex. I. Spatiotemporal organization of receptive fields. , 1976, Journal of neurophysiology.

[15]  G. Gerstein,et al.  Interactions between cat lateral geniculate neurons. , 1976, Journal of neurophysiology.

[16]  M. Imbert,et al.  Visual cortical cells: their developmental properties in normal and dark reared kittens. , 1976, The Journal of physiology.

[17]  H B Barlow,et al.  Threshold setting by the surround of cat retinal ganglion cells. , 1976, The Journal of physiology.

[18]  C. Malsburg,et al.  A mechanism for producing continuous neural mappings: ocularity dominance stripes and ordered retino , 1976 .

[19]  R. Masland Maturation of function in the developing rabbit retina , 1977, The Journal of comparative neurology.

[20]  D. Whitteridge,et al.  Cells selective to binocular disparity in the cortex of newborn lambs , 1977, Nature.

[21]  C. Gilbert Laminar differences in receptive field properties of cells in cat primary visual cortex , 1977, The Journal of physiology.

[22]  T. Sejnowski,et al.  Storing covariance with nonlinearly interacting neurons , 1977, Journal of mathematical biology.

[23]  Y. Frégnac,et al.  Early development of visual cortical cells in normal and dark‐reared kittens: relationship between orientation selectivity and ocular dominance. , 1978, The Journal of physiology.

[24]  L. Palmer,et al.  The retinotopic organization of area 17 (striate cortex) in the cat , 1978, The Journal of comparative neurology.

[25]  P. Schiller,et al.  Functional specificity of lateral geniculate nucleus laminae of the rhesus monkey. , 1978, Journal of neurophysiology.

[26]  J. Movshon,et al.  Spatial summation in the receptive fields of simple cells in the cat's striate cortex. , 1978, The Journal of physiology.

[27]  G. Henry,et al.  Anatomical organization of the primary visual cortex (area 17) of the cat. A comparison with area 17 of the macaque monkey , 1979, The Journal of comparative neurology.

[28]  R. Penrose,et al.  The topology of ridge systems , 1979, Annals of human genetics.

[29]  A. B. Bonds Development of Orientation Tuning in the Visual Cortex of Kittens , 1979 .

[30]  G. Henry,et al.  Laminar distribution of first-order neurons and afferent terminals in cat striate cortex. , 1979, Journal of neurophysiology.

[31]  E Kaplan,et al.  Effects of dark adaptation on spatial and temporal properties of receptive fields in cat lateral geniculate nucleus. , 1979, The Journal of physiology.

[32]  A L Humphrey,et al.  Topographic organization of the orientation column system in the striate cortex of the tree shrew (Tupaia glis). II. Deoxyglucose mapping , 1980, The Journal of comparative neurology.

[33]  J Bullier,et al.  Ordinal position and afferent input of neurons in monkey striate cortex , 1980, The Journal of comparative neurology.

[34]  A. L. Humphrey,et al.  Topographic organization of the orientation column system in the striate cortex of the tree shrew (Tupaia glis). I. Microelectrode recording , 1980, The Journal of comparative neurology.

[35]  K. Tanaka,et al.  Cross-Correlation Analysis of Interneuronal Connectivity in cat visual cortex. , 1981, Journal of neurophysiology.

[36]  T E Spraker,et al.  Cross‐correlation analysis of the maintained discharge of rabbit retinal ganglion cells. , 1981, The Journal of physiology.

[37]  D. Pollen,et al.  Phase relationships between adjacent simple cells in the visual cortex. , 1981, Science.

[38]  L. Palmer,et al.  Receptive-field structure in cat striate cortex. , 1981, Journal of neurophysiology.

[39]  J. Movshon,et al.  Visual neural development. , 1981, Annual review of psychology.

[40]  W. Levick,et al.  Analysis of orientation bias in cat retina , 1982, The Journal of physiology.

[41]  J Bullier,et al.  Receptive-field transformations between LGN neurons and S-cells of cat-striate cortex. , 1982, Journal of neurophysiology.

[42]  S. Mcconnell,et al.  ON and OFF layers in the lateral geniculate nucleus of the mink , 1982, Nature.

[43]  E. Bienenstock,et al.  Theory for the development of neuron selectivity: orientation specificity and binocular interaction in visual cortex , 1982, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[44]  D. Hubel Exploration of the primary visual cortex, 1955–78 , 1982, Nature.

[45]  N. Swindale,et al.  A model for the formation of orientation columns , 1982, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[46]  P. H. Schiller Central connections of the retinal ON and OFF pathways , 1982, Nature.

[47]  K. Tanaka Cross-correlation analysis of geniculostriate neuronal relationships in cats. , 1983, Journal of neurophysiology.

[48]  A. Leventhal,et al.  Structural basis of orientation sensitivity of cat retinal ganglion cells , 1983, The Journal of comparative neurology.

[49]  D. Ferster,et al.  An intracellular analysis of geniculo‐cortical connectivity in area 17 of the cat. , 1983, The Journal of physiology.

[50]  K. Albus,et al.  Orientation bias in the response of kitten LGNd neurons to moving light bars. , 1983, Brain research.

[51]  M P Stryker,et al.  On and off sublaminae in the lateral geniculate nucleus of the ferret , 1983, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[52]  D. Mastronarde Correlated firing of cat retinal ganglion cells. I. Spontaneously active inputs to X- and Y-cells. , 1983, Journal of neurophysiology.

[53]  J. L. Conway,et al.  Laminar organization of tree shrew dorsal lateral geniculate nucleus. , 1983, Journal of neurophysiology.

[54]  D. Mastronarde Correlated firing of cat retinal ganglion cells. II. Responses of X- and Y-cells to single quantal events. , 1983, Journal of neurophysiology.

[55]  Adam M. Sillito,et al.  The influence of GABAergic inhibitory processes on the receptive field structure of X and Y cells in cat dorsal lateral geniculate nucleus (dLGN) , 1983, Brain Research.

[56]  G. Blasdel,et al.  Physiological organization of layer 4 in macaque striate cortex , 1984, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[57]  J. P. Jones,et al.  Periodic simple cells in cat area 17. , 1984, Journal of neurophysiology.

[58]  Y. Frégnac,et al.  Development of neuronal selectivity in primary visual cortex of cat. , 1984, Physiological reviews.

[59]  S. Levay,et al.  Segregation of on- and off-center afferents in mink visual cortex. , 1984, Proceedings of the National Academy of Sciences of the United States of America.

[60]  Peter H. Schiller,et al.  The connections of the retinal on and off pathways to the lateral geniculate nucleus of the monkey , 1984, Vision Research.

[61]  H Sherk,et al.  Receptive field properties in the cat's area 17 in the absence of on- center geniculate input , 1984, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[62]  J. Horton,et al.  Receptive field properties in the cat's lateral geniculate nucleus in the absence of on-center retinal input , 1984, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[63]  K. Albus,et al.  Early post‐natal development of neuronal function in the kitten's visual cortex: a laminar analysis. , 1984, The Journal of physiology.

[64]  J. P. Jones,et al.  Receptive-field properties and laminar distribution of X-like and Y-like simple cells in cat area 17. , 1984, Journal of neurophysiology.

[65]  P. Heggelund,et al.  Development of spatial receptive-field organization and orientation selectivity in kitten striate cortex. , 1985, Journal of neurophysiology.

[66]  D. Whitteridge,et al.  Innervation of cat visual areas 17 and 18 by physiologically identified X‐ and Y‐ type thalamic afferents. II. Identification of postsynaptic targets by GABA immunocytochemistry and Golgi impregnation , 1985, The Journal of comparative neurology.

[67]  A. L. Humphrey,et al.  Projection patterns of individual X‐ and Y‐cell axons from the lateral geniculate nucleus to cortical area 17 in the cat , 1985, The Journal of comparative neurology.

[68]  D. Whitteridge,et al.  Innervation of cat visual areas 17 and 18 by physiologically identified X‐ and Y‐ type thalamic afferents. I. Arborization patterns and quantitative distribution of postsynaptic elements , 1985, The Journal of comparative neurology.

[69]  R Linsker,et al.  From basic network principles to neural architecture: emergence of orientation columns. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[70]  R. Linsker,et al.  From basic network principles to neural architecture , 1986 .

[71]  G. Blasdel,et al.  Voltage-sensitive dyes reveal a modular organization in monkey striate cortex , 1986, Nature.

[72]  J D Schall,et al.  Retinal constraints on orientation specificity in cat visual cortex , 1986, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[73]  S M Archer,et al.  A role for action-potential activity in the development of neuronal connections in the kitten retinogeniculate pathway , 1986, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[74]  C. Shatz,et al.  The relationship between the geniculocortical afferents and their cortical target cells during development of the cat's primary visual cortex , 1986, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[75]  P Heggelund,et al.  Quantitative studies of the discharge fields of single cells in cat striate cortex. , 1986, The Journal of physiology.

[76]  R Linsker,et al.  From basic network principles to neural architecture: emergence of spatial-opponent cells. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[77]  R. Soodak The retinal ganglion cell mosaic defines orientation columns in striate cortex. , 1987, Proceedings of the National Academy of Sciences of the United States of America.

[78]  D N Mastronarde,et al.  Two classes of single-input X-cells in cat lateral geniculate nucleus. II. Retinal inputs and the generation of receptive-field properties. , 1987, Journal of neurophysiology.

[79]  M. Cynader,et al.  Surface organization of orientation and direction selectivity in cat area 18 , 1987, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[80]  E Kaplan,et al.  Contrast affects the transmission of visual information through the mammalian lateral geniculate nucleus. , 1987, The Journal of physiology.

[81]  D. Ferster Origin of orientation-selective EPSPs in simple cells of cat visual cortex , 1987, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[82]  C. Shatz,et al.  Axon trajectories and pattern of terminal arborization during the prenatal development of the cat's retinogeniculate pathway , 1987, The Journal of comparative neurology.

[83]  R. Shapley,et al.  Linear mechanism of orientation tuning in the retina and lateral geniculate nucleus of the cat. , 1987, Journal of neurophysiology.

[84]  D. O. Hebb,et al.  The organization of behavior , 1988 .

[85]  M P Stryker,et al.  Segregation of ON and OFF afferents to ferret visual cortex. , 1988, Journal of neurophysiology.

[86]  E. Switkes,et al.  Functional anatomy of macaque striate cortex. V. Spatial frequency , 1988, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[87]  D. Ferster Spatially opponent excitation and inhibition in simple cells of the cat visual cortex , 1988, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[88]  E. Switkes,et al.  Functional anatomy of macaque striate cortex. III. Color , 1988, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[89]  D. B. Bowling,et al.  ON/OFF organization in the cat lateral geniculate nucleus: Sublaminae vs. columns , 1989, The Journal of comparative neurology.

[90]  K. Miller,et al.  Ocular dominance column development: analysis and simulation. , 1989, Science.

[91]  M. Silverman,et al.  Spatial-frequency organization in primate striate cortex. , 1989, Proceedings of the National Academy of Sciences of the United States of America.

[92]  D. Ts'o,et al.  Functional organization of primate visual cortex revealed by high resolution optical imaging. , 1990, Science.

[93]  Kenneth D. Miller,et al.  Derivation of Linear Hebbian Equations from a Nonlinear Hebbian Model of Synaptic Plasticity , 1990, Neural Computation.

[94]  D. Ferster X- and Y-mediated current sources in areas 17 and 18 of cat visual cortex , 1990, Visual Neuroscience.

[95]  K D Miller,et al.  Experimental and theoretical studies of the organization of afferents to single orientation columns in visual cortex. , 1990, Cold Spring Harbor Symposia on Quantitative Biology.

[96]  D. Fitzpatrick,et al.  Terminal arbors of individual, physiologically identified geniculocortical axons in the tree shrew's striate cortex , 1990, The Journal of comparative neurology.

[97]  H. Ritter,et al.  A principle for the formation of the spatial structure of cortical feature maps. , 1990, Proceedings of the National Academy of Sciences of the United States of America.

[98]  E Friauf,et al.  Functional synaptic circuits in the subplate during fetal and early postnatal development of cat visual cortex , 1990, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[99]  F. Wörgötter,et al.  Quantification and Comparison of Cell Properties in Cat's Striate Cortex Determined by Different Types of Stimuli , 1990, The European journal of neuroscience.

[100]  E. Callaway,et al.  Emergence and refinement of clustered horizontal connections in cat striate cortex , 1990, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[101]  M. Constantine-Paton,et al.  Patterned activity, synaptic convergence, and the NMDA receptor in developing visual pathways. , 1990, Annual review of neuroscience.

[102]  Charles D. Gilbert,et al.  Lateral interactions in visual cortex. , 1990, Cold Spring Harbor symposia on quantitative biology.

[103]  M. Isley,et al.  Interocular torsional disparity and visual cortical development in the cat. , 1990, Journal of Neurophysiology.

[104]  C. Shatz Impulse activity and the patterning of connections during cns development , 1990, Neuron.

[105]  David J. C. MacKay,et al.  Analysis of Linsker's Simulations of Hebbian Rules , 1990, Neural Computation.

[106]  T. Wiesel,et al.  Lateral interactions in visual cortex. , 1990, Cold Spring Harbor symposia on quantitative biology.

[107]  D Ferster,et al.  X- and Y-mediated synaptic potentials in neurons of areas 17 and 18 of cat visual cortex , 1990, Visual Neuroscience.

[108]  A. M. Turing,et al.  The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.

[109]  L. Maffei,et al.  Correlation in the discharges of neighboring rat retinal ganglion cells during prenatal life. , 1990, Proceedings of the National Academy of Sciences of the United States of America.

[110]  Richard Durbin,et al.  A dimension reduction framework for understanding cortical maps , 1990, Nature.

[111]  Shigeru Tanaka,et al.  Theory of self-organization of cortical maps: Mathematical framework , 1990, Neural Networks.

[112]  H. Tamura,et al.  Horizontal interactions between visual cortical neurones studied by cross‐correlation analysis in the cat. , 1991, The Journal of physiology.

[113]  M. Stryker,et al.  Relation of cortical cell orientation selectivity to alignment of receptive fields of the geniculocortical afferents that arborize within a single orientation column in ferret visual cortex , 1991, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[114]  D. Baylor,et al.  Synchronous bursts of action potentials in ganglion cells of the developing mammalian retina. , 1991, Science.

[115]  S B Nelson,et al.  Temporal interactions in the cat visual system. II. Suppressive and facilitatory effects in the lateral geniculate nucleus , 1991, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[116]  M. Sur,et al.  Disruption of retinogeniculate afferent segregation by antagonists to NMDA receptors , 1991, Nature.

[117]  C. Shatz,et al.  Changing patterns of synaptic input to subplate and cortical plate during development of visual cortex. , 1991, Journal of neurophysiology.

[118]  U. Eysel,et al.  Influence of GABA-induced remote inactivation on the orientation tuning of cells in area 18 of feline visual cortex: A comparison with area 17 , 1991, Neuroscience.

[119]  R. Soodak Reverse-Hebb plasticity leads to optimization and association in a simulated visual cortex , 1991, Visual Neuroscience.

[120]  Amiram Grinvald,et al.  Iso-orientation domains in cat visual cortex are arranged in pinwheel-like patterns , 1991, Nature.

[121]  C. Koch,et al.  A detailed model of the primary visual pathway in the cat: comparison of afferent excitatory and intracortical inhibitory connection schemes for orientation selectivity , 1991, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[122]  F. Wörgötter,et al.  Topographical Aspects of Intracortical Excitation and Inhibition Contributing to Orientation Specificity in Area 17 of the Cat Visual Cortex , 1991, The European journal of neuroscience.

[123]  D Ferster,et al.  Nonlinearity of spatial summation in simple cells of areas 17 and 18 of cat visual cortex. , 1991, Journal of neurophysiology.

[124]  Jr Physiologie Axial responses in visual cortical cells: Spatio-temporal mechanisms quantified by Fourier components of cortical tuning curves , 1991 .

[125]  K. Miller Development of orientation columns via competition between ON- and OFF-center inputs. , 1992, Neuroreport.

[126]  M. Miyashita,et al.  A mathematical model for the self-organization of orientation columns in visual cortex. , 1992, Neuroreport.

[127]  R. Yuste,et al.  Neuronal domains in developing neocortex. , 1992, Science.

[128]  K. Obermayer,et al.  Statistical-mechanical analysis of self-organization and pattern formation during the development of visual maps. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[129]  A. Grinvald,et al.  Relationships between orientation-preference pinwheels, cytochrome oxidase blobs, and ocular-dominance columns in primate striate cortex. , 1992, Proceedings of the National Academy of Sciences of the United States of America.

[130]  G. Blasdel,et al.  Orientation selectivity, preference, and continuity in monkey striate cortex , 1992, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[131]  E. Callaway,et al.  Development of axonal arbors of layer 4 spiny neurons in cat striate cortex , 1992, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[132]  H. Tamura,et al.  Development of local horizontal interactions in cat visual cortex studied by cross-correlation analysis. , 1993, Journal of neurophysiology.

[133]  R. Yuste,et al.  Extensive dye coupling between rat neocortical neurons during the period of circuit formation , 1993, Neuron.

[134]  T. Bliss,et al.  A synaptic model of memory: long-term potentiation in the hippocampus , 1993, Nature.

[135]  K D Miller,et al.  Models of activity-dependent neural development. , 1992, Progress in brain research.

[136]  Kenneth D. Miller,et al.  The Role of Constraints in Hebbian Learning , 1994, Neural Computation.