caa a22 4500 463245113 CHVBK 20180405153323.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s00422-007-0172-2 doi (NATIONALLICENCE)springer-10.1007/s00422-007-0172-2 Geometry of the superior colliculus mapping and efficient oculomotor computation [Elektronische Daten] [Nicolas Tabareau, Daniel Bennequin, Alain Berthoz, Jean-Jacques Slotine, Benoît Girard] Numerous brain regions encode variables using spatial distribution of activity in neuronal maps. Their specific geometry is usually explained by sensory considerations only. We provide here, for the first time, a theory involving the motor function of the superior colliculus to explain the geometry of its maps. We use six hypotheses in accordance with neurobiology to show that linear and logarithmic mappings are the only ones compatible with the generation of saccadic motor command. This mathematical proof gives a global coherence to the neurobiological studies on which it is based. Moreover, a new solution to the problem of saccades involving both colliculi is proposed. Comparative simulations show that it is more precise than the classical one. Springer-Verlag, 2007 Saccades nationallicence Superior colliculus nationallicence Spatio-temporal transformation nationallicence Computational model nationallicence Tabareau Nicolas UMR 7152, Laboratoire de Physiologie de la Perception et de l'Action, CNRS-Collège de France, Paris, France aut Bennequin Daniel UMR 7586, Equipe Géométrie et Dynamique, Université Paris Diderot-CNRS, Paris, France, Paris, France aut Berthoz Alain UMR 7152, Laboratoire de Physiologie de la Perception et de l'Action, CNRS-Collège de France, Paris, France aut Slotine Jean-Jacques Nonlinear Systems Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA aut Girard Benoît UMR 7152, Laboratoire de Physiologie de la Perception et de l'Action, CNRS-Collège de France, Paris, France aut Biological Cybernetics Springer-Verlag 97/4(2007-10-01), 279-292 0340-1200 97:4<279 2007 97 422 https://doi.org/10.1007/s00422-007-0172-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00422-007-0172-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Tabareau Nicolas UMR 7152, Laboratoire de Physiologie de la Perception et de l'Action, CNRS-Collège de France, Paris, France aut NATIONALLICENCE 700 1- Bennequin Daniel UMR 7586, Equipe Géométrie et Dynamique, Université Paris Diderot-CNRS, Paris, France, Paris, France aut NATIONALLICENCE 700 1- Berthoz Alain UMR 7152, Laboratoire de Physiologie de la Perception et de l'Action, CNRS-Collège de France, Paris, France aut NATIONALLICENCE 700 1- Slotine Jean-Jacques Nonlinear Systems Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA aut NATIONALLICENCE 700 1- Girard Benoît UMR 7152, Laboratoire de Physiologie de la Perception et de l'Action, CNRS-Collège de France, Paris, France aut NATIONALLICENCE 773 0- Biological Cybernetics Springer-Verlag 97/4(2007-10-01), 279-292 0340-1200 97:4<279 2007 97 422 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer