Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadata

Cited literature [38 references]  Display  Hide  Download
Contributor : Benoît Girard Connect in order to contact the contributor
Submitted on : Wednesday, October 10, 2007 - 11:32:15 AM
Last modification on : Thursday, March 18, 2021 - 1:36:04 PM
Long-term archiving on: : Sunday, April 11, 2010 - 10:41:41 PM


Files produced by the author(s)



Nicolas Tabareau, Daniel Bennequin, Alain Berthoz, Jean-Jacques Slotine, Benoît Girard. Geometry of the superior colliculus mapping and efficient oculomotor computation. Biological Cybernetics (Modeling), Springer Verlag, 2007, 97 (4), pp.279-292. ⟨10.1007/s00422-007-0172-2⟩. ⟨hal-00178144⟩



Record views


Files downloads