HAL : hal-00178144, version 1

DOI : 10.1007/s00422-007-0172-2

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Biological Cybernetics 97, 4 (2007) 279-292

Geometry of the superior colliculus mapping and efficient oculomotor computation

Nicolas Tabareau 1, Daniel Bennequin 2, Alain Berthoz 1, Jean-Jacques Slotine 3, Benoît Girard 1

(10/08/2007)

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.

1 :	Laboratoire de physiologie de la perception et de l'action (LPPA)
	CNRS : UMR7124 – Collège de France
2 :	Institut de Mathématiques de Jussieu (IMJ)
	CNRS : UMR7586 – Université Paris VI - Pierre et Marie Curie – Université Paris VII - Paris Diderot
3 :	Nonlinear System Laboratory (NSL)
	MIT

Domaine

:

Sciences cognitives/Neurosciences

Mots Clés : Saccades – Superior Colliculus – Spatio-Temporal Transformation – Computational Model

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Contributeur : Benoît Girard <>

Soumis le : Mercredi 10 Octobre 2007, 11:32:15

Dernière modification le : Mercredi 10 Octobre 2007, 14:09:19