title: Geometry of the superior colliculus mapping and efficient oculomotor computation.
abstract: 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.
authors: UMR 7152, Laboratoire de Physiologie de la Perception et de l'Action, CNRS-Collège de France, Paris, France.
authors: Nicolas
authors: N
authors: Tabareau
authors: Daniel
authors: D
authors: Bennequin
authors: Alain
authors: A
authors: Berthoz
authors: Jean-Jacques
authors: JJ
authors: Slotine
authors: Benoît
authors: B
authors: Girard
mesh_terms: D000465:Algorithms; D000818:Animals; D001931:Brain Mapping; D003198:Computer Simulation; D005133:Eye Movements / Q000502:physiology*; D000882:Haplorhini / Q000033:anatomy & histology / Q000502:physiology; D006801:Humans; D016014:Linear Models; D008959:Models, Neurological; D009801:Oculomotor Muscles / Q000294:innervation / Q000502:physiology*; D011597:Psychomotor Performance / Q000502:physiology*; D012438:Saccades / Q000502:physiology; D013477:Superior Colliculi / Q000033:anatomy & histology / Q000502:physiology*; D014795:Visual Pathways / Q000502:physiology*