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Journal of Neuroscience, Vol 16, 2112-2126, Copyright © 1996 by Society for Neuroscience
Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: a theory
K Zhang
Department of Cognitive Science, University of California at San Diego, La Jolla, 92093-0515, USA.
The head-direction (HD) cells found in the limbic system in freely mov ing
rats represent the instantaneous head direction of the animal in the
horizontal plane regardless of the location of the animal. The internal
direction represented by these cells uses both self-motion information for
inertially based updating and familiar visual landmarks for calibration.
Here, a model of the dynamics of the HD cell ensemble is presented. The
stability of a localized static activity profile in the network and a
dynamic shift mechanism are explained naturally by synaptic weight
distribution components with even and odd symmetry, respectively. Under
symmetric weights or symmetric reciprocal connections, a stable activity
profile close to the known directional tuning curves will emerge. By adding
a slight asymmetry to the weights, the activity profile will shift
continuously without disturbances to its shape, and the shift speed can be
controlled accurately by the strength of the odd-weight component. The
generic formulation of the shift mechanism is determined uniquely within
the current theoretical framework. The attractor dynamics of the system
ensures modality- independence of the internal representation and
facilitates the correction for cumulative error by the putative local-view
detectors. The model offers a specific one-dimensional example of a
computational mechanism in which a truly world-centered representation can
be derived from observer-centered sensory inputs by integrating self-motion
information.
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