{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T16:56:41Z","timestamp":1759683401823},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2007,8,10]],"date-time":"2007-08-10T00:00:00Z","timestamp":1186704000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Biol Cybern"],"published-print":{"date-parts":[[2007,10,2]]},"DOI":"10.1007\/s00422-007-0172-2","type":"journal-article","created":{"date-parts":[[2007,8,9]],"date-time":"2007-08-09T04:55:22Z","timestamp":1186635322000},"page":"279-292","source":"Crossref","is-referenced-by-count":31,"title":["Geometry of the superior colliculus mapping and efficient oculomotor computation"],"prefix":"10.1007","volume":"97","author":[{"given":"Nicolas","family":"Tabareau","sequence":"first","affiliation":[]},{"given":"Daniel","family":"Bennequin","sequence":"additional","affiliation":[]},{"given":"Alain","family":"Berthoz","sequence":"additional","affiliation":[]},{"given":"Jean-Jacques","family":"Slotine","sequence":"additional","affiliation":[]},{"given":"Beno\u00eet","family":"Girard","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,8,10]]},"reference":[{"issue":"2","key":"172_CR1","doi-asserted-by":"crossref","first-page":"798","DOI":"10.1152\/jn.1998.80.2.798","volume":"80","author":"R Anderson","year":"1998","unstructured":"Anderson R, Keller E, Gandhi N, Das S (1998) Two-dimensional saccade-related population activity in superior colliculus in monkey. J Neurophysiol 80(2):798\u2013817","journal-title":"J Neurophysiol"},{"key":"172_CR2","doi-asserted-by":"crossref","first-page":"1115","DOI":"10.1016\/S0893-6080(05)80162-5","volume":"7","author":"K Arai","year":"1994","unstructured":"Arai K, Keller E, Edelman J (1994) Two-dimensional neural network model of the primate saccadic system. Neural Netw 7:1115\u20131135","journal-title":"Neural Netw"},{"issue":"10","key":"172_CR3","doi-asserted-by":"crossref","first-page":"1359","DOI":"10.1016\/S0893-6080(99)00077-5","volume":"12","author":"K Arai","year":"1999","unstructured":"Arai K, Das S, Keller E, Aiyoshi E (1999) A distributed model of the saccade system: simulations of temporally perturbed saccades using position and velocity feedback. Neural Netw 12(10):1359\u20131375","journal-title":"Neural Netw"},{"issue":"3","key":"172_CR4","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1007\/s00422-001-0288-8","volume":"86","author":"J Badler","year":"2002","unstructured":"Badler J, Keller E (2002) Decoding of a motor command vector from distributed activity in superior colliculus. Biol Cybern 86(3): 179\u2013189","journal-title":"Biol Cybern"},{"key":"172_CR5","volume-title":"Groupes et\u00a0alg\u00e8bres de Lie, Chapitres 2 et 3","author":"N Bourbaki","year":"1972","unstructured":"Bourbaki N (1972) Groupes et\u00a0alg\u00e8bres de Lie, Chapitres 2 et 3. Dunod, Paris"},{"key":"172_CR6","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1152\/jn.1976.39.1.91","volume":"39","author":"U Dr\u00e4ger","year":"1976","unstructured":"Dr\u00e4ger U, Hugel D (1976) Topography of visual and somatosensory projections to mouse superior colliculus. J Neurophysiol 39:91\u2013101","journal-title":"J Neurophysiol"},{"key":"172_CR7","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/0042-6989(70)90111-2","volume":"10","author":"S Feldon","year":"1970","unstructured":"Feldon S, Feldon P, Kruger L (1970) Topography of the retinal projection upon the superior colliculus of the cat. Vision Res 10:135\u2013143","journal-title":"Vision Res"},{"key":"172_CR8","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1016\/j.pneurobio.2005.11.001","volume":"77","author":"B Girard","year":"2005","unstructured":"Girard B, Berthoz A (2005) From brainstem to cortex: computational models of saccade generation circuitry. Prog Neurobiol 77:215\u2013251","journal-title":"Prog Neurobiol"},{"issue":"2","key":"172_CR9","doi-asserted-by":"crossref","first-page":"541","DOI":"10.1016\/0306-4522(87)90140-0","volume":"21","author":"J Gisbergen van","year":"1987","unstructured":"van Gisbergen J, van Opstal A, Tax A (1987) Collicular ensemble coding of saccades based on vector summation. Neuroscience 21(2):541\u2013555","journal-title":"Neuroscience"},{"key":"172_CR10","doi-asserted-by":"crossref","first-page":"1942","DOI":"10.1152\/jn.1998.79.4.1942","volume":"79","author":"L Goffart","year":"1998","unstructured":"Goffart L, P\u00e9lisson D (1998) Orienting gaze shifts during muscimol inactivation of caudal fastigial nucleus in the cat. I. Gaze dysmetria. J Neurophysiol 79:1942\u20131958","journal-title":"J Neurophysiol"},{"key":"172_CR11","doi-asserted-by":"crossref","first-page":"3430","DOI":"10.1152\/jn.2000.83.6.3430","volume":"83","author":"H Goossens","year":"2000","unstructured":"Goossens H, van Opstal A (2000) Blink-perturbed saccades in monkey. II. superior colliculus activity. J Neurophysiol 83:3430\u20133452","journal-title":"J Neurophysiol"},{"key":"172_CR12","doi-asserted-by":"crossref","first-page":"2326","DOI":"10.1152\/jn.00889.2005","volume":"95","author":"H Goossens","year":"2006","unstructured":"Goossens H, van Opstal A (2006) Dynamic ensemble coding of saccades in the monkey superior colliculus. J Neurophysiol 95:2326\u20132341","journal-title":"J Neurophysiol"},{"key":"172_CR13","first-page":"107","volume-title":"The superior colliculus: new approaches for studying sensorimotor integration, methods & new frontiers in neuroscience, chap 5","author":"A Grantyn","year":"2003","unstructured":"Grantyn A, Moschovakis A (2003) Structure\u2013function relationships in the superior colliculus of higher mammals. In: Hall W, Moschovakis V (eds) The superior colliculus: new approaches for studying sensorimotor integration, methods & new frontiers in neuroscience, chap 5. CRC Press, Boca Raton, pp 107\u2013145"},{"key":"172_CR14","doi-asserted-by":"crossref","first-page":"346","DOI":"10.1002\/cne.10353","volume":"451","author":"A Grantyn","year":"2002","unstructured":"Grantyn A, Brandi AM, Dubayle D, Graf W, Ugolini G, Hadjidimitrakis K, Moschovakis A (2002) Density gradients of trans-synaptically labeled collicular neurons after injections of rabbies virus in the lateral rectus muscle of the rhesus monkey. J Comp Neurol 451:346\u2013361","journal-title":"J Comp Neurol"},{"issue":"3","key":"172_CR15","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1007\/s004220100249","volume":"85","author":"J Groh","year":"2001","unstructured":"Groh J (2001) Converting neural signals from place codes to rate codes. Biol Cybern 85(3):159\u2013165","journal-title":"Biol Cybern"},{"key":"172_CR16","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1007\/s002210050403","volume":"120","author":"L Herrero","year":"1998","unstructured":"Herrero L, Rodr\u00edguez F, Salas C, Torres B (1998) Tail and eye movememnts evoked by electrical microstimulation of the optic tectum in goldfish. Exp Brain Res 120:291\u201305","journal-title":"Exp Brain Res"},{"key":"172_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-9449-5","volume-title":"Differential topology","author":"H Hirsch","year":"1976","unstructured":"Hirsch H (1976) Differential topology. Springer, New York"},{"key":"172_CR18","volume-title":"No 256.","author":"L H\u00f6rmander","year":"1983","unstructured":"H\u00f6rmander L (1983) The Analysis of linear partial differential operators I. No 256. In: Grundlehren der mathematischen Wissenschaften. Springer, Berlin"},{"key":"172_CR19","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/S0304-3940(02)00268-9","volume":"325","author":"Y Iwamoto","year":"2002","unstructured":"Iwamoto Y, Yoshida K (2002) Saccadic dysmetria following inactivation of the primate fastigial oculomotor region. Neurosci Lett 325:211\u2013215","journal-title":"Neurosci Lett"},{"issue":"3","key":"172_CR20","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1152\/jn.1981.46.3.387","volume":"46","author":"C Kaneko","year":"1981","unstructured":"Kaneko C, Evinger C, Fuchs A (1981) Role of the cat pontine burst neurons in generation of saccadic eye movements. J Neurophysiol 46(3):387\u2013408","journal-title":"J Neurophysiol"},{"issue":"2","key":"172_CR21","doi-asserted-by":"crossref","first-page":"316","DOI":"10.1152\/jn.1974.37.2.316","volume":"37","author":"E Keller","year":"1974","unstructured":"Keller E (1974) Participation of medial pontine reticular formation in eye movement generation in monkey. J Neurophysiol 37(2): 316\u2013332","journal-title":"J Neurophysiol"},{"issue":"3","key":"172_CR22","doi-asserted-by":"crossref","first-page":"861","DOI":"10.1152\/jn.1979.42.3.861","volume":"42","author":"W King","year":"1979","unstructured":"King W, Fuchs F (1979) Reticular control of vertical saccadic eye movements by mesencephalic burst neurons. J Neurophysiol 42(3): 861\u2013876","journal-title":"J Neurophysiol"},{"issue":"9","key":"172_CR23","doi-asserted-by":"crossref","first-page":"1177","DOI":"10.1523\/JNEUROSCI.02-09-01177.1982","volume":"2","author":"E Knudsen","year":"1982","unstructured":"Knudsen E (1982) Auditory and visual maps of space in the optic tectum of the owl. J Neurosci 2(9):1177\u20131194","journal-title":"J Neurosci"},{"key":"172_CR24","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1038\/332357a0","volume":"332","author":"C Lee","year":"1988","unstructured":"Lee C, Rohrer W, Sparks D (1988) Population coding of saccadic eye movements by neurons in the superior colliculus. Nature 332: 357\u2013360","journal-title":"Nature"},{"key":"172_CR25","first-page":"223","volume-title":"Neurophysiology II, Int Rev Physiol, vol 10","author":"J McIlwain","year":"1976","unstructured":"McIlwain J (1976) Large receptive fields and spatial transformations in the visual system. In: Porter R (eds) Neurophysiology II, Int Rev Physiol, vol 10. University Park Press, Baltimore, pp 223\u2013248"},{"issue":"5","key":"172_CR26","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1016\/0042-6989(83)90125-6","volume":"23","author":"J McIlwain","year":"1983","unstructured":"McIlwain J (1983) Representation of the visual streak in visuotopic maps of the cat\u2019s superior colliculus: influence of the mapping variable. Vision Res 23(5):507\u2013516","journal-title":"Vision Res"},{"issue":"23","key":"172_CR27","doi-asserted-by":"crossref","first-page":"10219","DOI":"10.1523\/JNEUROSCI.18-23-10219.1998","volume":"18","author":"A Moschovakis","year":"1998","unstructured":"Moschovakis A, Kitama T, Dalezios Y, Petit J, Brandi A, Grantyn A (1998) An anatomical substrate for the spatiotemporal transformation. J Neurosci 18(23):10219\u201310229","journal-title":"J Neurosci"},{"issue":"6","key":"172_CR28","doi-asserted-by":"crossref","first-page":"2562","DOI":"10.1152\/jn.1996.75.6.2562","volume":"75","author":"D Munoz","year":"1996","unstructured":"Munoz D, Waitzman D, Wurtz R (1996) Activity of neurons in monkey superior colliculus during interrupted saccades. J Neurphysiol 75(6):2562\u20132580","journal-title":"J Neurphysiol"},{"key":"172_CR29","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1017\/S095252389815513X","volume":"15","author":"E Olivier","year":"1998","unstructured":"Olivier E, Porter J, May P (1998) Comparison of the distribution and somatodendritic morphology of tectotecal neurons in the cat and monkey. Vis Neurosci 15:903\u2013922","journal-title":"Vis Neurosci"},{"issue":"3","key":"172_CR30","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1007\/BF00207285","volume":"60","author":"A Opstal van","year":"1989","unstructured":"van Opstal A, van Gisbergen J (1989) A nonlinear model for collicular spatial interactions underlying the metrical properties of electrically elicited saccades. Biol Cybern 60(3):171\u2013183","journal-title":"Biol Cybern"},{"key":"172_CR31","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1196\/annals.1325.013","volume":"1039","author":"L Optican","year":"2005","unstructured":"Optican L (2005) Sensorimotor transformation for visually guided saccades. Ann NY Acad Sci 1039:132\u2013148","journal-title":"Ann NY Acad Sci"},{"issue":"6","key":"172_CR32","doi-asserted-by":"crossref","first-page":"857","DOI":"10.1016\/0042-6989(86)90144-6","volume":"26","author":"F Ottes","year":"1986","unstructured":"Ottes F, van Gisbergen JA, Eggermont J (1986) Visuomotor fields of the superior colliculus: a quantitative model. Vision Res 26(6): 857\u2013873","journal-title":"Vision Res"},{"key":"172_CR33","doi-asserted-by":"crossref","first-page":"1795","DOI":"10.1016\/0042-6989(72)90070-3","volume":"12","author":"D Robinson","year":"1972","unstructured":"Robinson D (1972) Eye movements evoked by collicular stimulation in the alert monkey. Vision Res 12:1795\u20131808","journal-title":"Vision Res"},{"key":"172_CR34","doi-asserted-by":"crossref","first-page":"1037","DOI":"10.1017\/S0952523800006878","volume":"11","author":"M Rosa","year":"1994","unstructured":"Rosa M, Schmid L (1994) Topography and extent of visual-field representation in the superior colliculus of the megachiropteran Pteropus. Vis Neurosci 11:1037\u20131057","journal-title":"Vis Neurosci"},{"key":"172_CR35","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1016\/0042-6989(80)90090-5","volume":"20","author":"E Schwarz","year":"1980","unstructured":"Schwarz E (1980) Computational anatomy and functional architecture of striate cortex: a spatial mapping approach to perceptual coding. Vision Res 20:645\u2013669","journal-title":"Vision Res"},{"key":"172_CR36","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1002\/cne.901270402","volume":"127","author":"R Siminoff","year":"1966","unstructured":"Siminoff R, Schwassmann H, Kruger L (1966) An electrophysiological study of the visual projection to the superior colliculus of the rat. J Comp Neurol 127:435\u2013444","journal-title":"J Comp Neurol"},{"key":"172_CR37","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1152\/jn.00886.2000","volume":"87","author":"R Soetedjo","year":"2000","unstructured":"Soetedjo R, Kaneko C, Fuchs A (2000) Evidence that the superior colliculus participates in the feedback control of saccadic eye movements. J Neurophysiol 87:679\u2013695","journal-title":"J Neurophysiol"},{"key":"172_CR38","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/0006-8993(76)90003-2","volume":"113","author":"D Sparks","year":"1976","unstructured":"Sparks D, Holland R, Guthrie B (1976) Size and distribution of movement fields in the monkey superior colliculus. Brain Res 113:21\u201334","journal-title":"Brain Res"},{"issue":"3","key":"172_CR39","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1152\/jn.1982.48.3.761","volume":"48","author":"K Yoshida","year":"1982","unstructured":"Yoshida K, McCrea R, Berthoz A, Vidal P (1982) Morphological and physiological characteristics of inhibitory burst neurons controlling horizontal rapid eye movements in the alert cat. J Neurophysiol 48(3):761\u2013784","journal-title":"J Neurophysiol"}],"container-title":["Biological Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00422-007-0172-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00422-007-0172-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00422-007-0172-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T16:31:08Z","timestamp":1559061068000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00422-007-0172-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,8,10]]},"references-count":39,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2007,10,2]]}},"alternative-id":["172"],"URL":"https:\/\/doi.org\/10.1007\/s00422-007-0172-2","relation":{},"ISSN":["0340-1200","1432-0770"],"issn-type":[{"value":"0340-1200","type":"print"},{"value":"1432-0770","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,8,10]]}}}