Abstract. The head-direction (HD) cells found in the limbic system in freely moving 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 accurately controlled 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. [Key words: head-direction cell; spatial orientation; attractor dynamics; dynamic shift mechanism; velocity integration; anterior thalamus; postsubiculum] 1
|
403
|
Neurons with graded responses have collective computational properties like those of two-state neurons
– Hopfield
- 1984
|
|
263
|
The Hippocampus as a Cognitive Map
– O’KEEFE, NADEL
- 1978
|
|
210
|
The Organization of Learning
– GALLISTEL
- 1990
|
|
166
|
Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
– Cohen, Grossberg
- 1883
|
|
134
|
A neurobiological model of visual attention and invariant pattern recognition based on dynamic routing of information
– Olshausen, Anderson, et al.
- 1993
|
|
85
|
The Theory of the Tikhonov Regularization for Fredholm Equations of the First
– Groetsch
- 1984
|
|
75
|
Dynamics of the hippocampal ensemble code for space. Science 261
– Wilson, McNaughton
- 1993
|
|
67
|
Headdirection cells recorded from the postsubiculum in freely moving rats. II. Effects of environmental manipulations
– TAUBE, MULLER, et al.
- 1990
|
|
59
|
Storing covariance with non-linearly interacting neurons
– SEJNOWSKI
- 1977
|
|
40
|
Shifter circuits: a computational strategy for dynamic aspects of visual processing
– Anderson, Essen
- 1987
|
|
40
|
The firing of hippocampal place cells in the dark depends on the rat’s recent experience
– QUIRK, MULLER, et al.
- 1990
|
|
37
|
Deciphering the hippocampal polyglot: The hippocampus as a path integration system
– McNaughton, Barnes, et al.
- 1996
|
|
32
|
Characteristics of random nets of analog neuron-like elements
– Amari
- 1972
|
|
25
|
Vector encoding and the vestibular foundations of spatial cognition: Neurophysiological and computational mechanisms
– McNaughton, Knierim, et al.
- 1995
|
|
24
|
Homing by path integration in a mammal
– MITTELSTAEDT, MITTELSTAEDT
- 1980
|
|
23
|
Place cells, head direction cells, and the learning of landmark stability
– Knierim, Kudrimoti, et al.
- 1995
|
|
23
|
The predictive brain: Temporal coincidence and temporal order in synaptic learning mechanisms
– Montague, Sejnowski
- 1994
|
|
22
|
Computer simulation of hippocampal place cells
– Sharp
- 1991
|
|
21
|
Human spatial orientation
– Howard, Templeton
- 1966
|
|
21
|
Head direction cells recorded in the anterior thalamic nuclei of freely moving rats
– Taube
- 1995
|
|
20
|
A neural network model of sensoritopic maps with predictive short-term memory properties
– Droulez, Berthoz
- 1991
|
|
18
|
A model of the neural basis of the rat’s sense of direction
– Skaggs, Knierim, et al.
- 1995
|
|
17
|
Head direction cells in the deep cell layer of dorsal presubiculum in freely moving rats
– Ranck
- 1984
|
|
14
|
Neural representation of space using sinusoidal arrays
– Redish, Touretzky, et al.
- 1993
|
|
14
|
Associative memory and hippocampal place cells
– Tsodyks, Sejnowski
- 1995
|
|
12
|
Dead reckoning," landmark learning, and the sense of direction: a neurophysiological and computational hypothesis
– McNaughton, Chen, et al.
- 1991
|
|
12
|
Directionally selective mnemonic properties of neurons in the lateral dorsal nucleus of the thalamus of rats
– Mizumori, Williams
- 1993
|
|
12
|
Spatial firing patterns of hippocampal complex-spike cells in a fixed environment
– Muller, Kubie, et al.
- 1987
|
|
10
|
Head-direction cells in the rat posterior cortex. II. Contributions of visual and ideothetic information to the directional firing
– Chen, Lin, et al.
- 1994
|
|
10
|
Spatial selectivity of rat hippocampal neurons: dependence on preparedness for movement
– Foster, Castro
- 1989
|
|
10
|
The Thalamus
– Jones
- 1985
|
|
10
|
The representation of space in the primate hippocampus
– Rolls
- 1996
|
|
10
|
Multiple spatial/behavioral correlates for cells in the rat postsubiculum: Multiple regression analysis and comparison to other hippocampal areas
– Sharp
- 1996
|
|
9
|
A thalamocortical circuit for computing directional heading in the rat
– Blair
- 1996
|
|
9
|
Continuous Univariate Distributions – Volume 2
– Johnson, Kotz, et al.
- 1995
|
|
9
|
Movement of neural activity on the superior colliculus motor map during gaze shifts
– Munoz, Pelisson, et al.
- 1991
|
|
8
|
Monkey hippocampal neurons related to spatial and nonspatial functions
– Ono, Nakamura, et al.
- 1993
|
|
8
|
Spatial Correlates of Firing Patterns of Single Cells in the Subiculum of the Freely Moving Rat
– Sharp, Green
- 1994
|
|
7
|
Dissociation of visual and saccade-related responses in superior colliculus neurons
– Mays
- 1980
|
|
7
|
Head direction cell activity in the anterior thalamic nuclei, but not the postsubiculum, predicts the animal’s future directional heading Soc. Neurosci. Abs
– Taube, Muller
- 1995
|
|
7
|
Spatial and behavioral correlates of striatal neurons in rats performing a self-initiated navigation task
– Wiener
- 1993
|
|
6
|
Cortical representation of motion during unrestrained spatial navigation in the rat
– McNaughton, Mizumori, et al.
- 1994
|
|
5
|
Familiar landmarks can correct for cumulative error in the inertially based deadreckoning system. Society for Neuroscience Abstracts
– McNaughton, Markus, et al.
- 1993
|
|
5
|
Modeling interactions of the rat's place and head direction systems
– Redish, Touretzky
- 1996
|
|
4
|
Integral equations
– Smithies
- 1958
|
|
4
|
Lesions of the rat postsubiculum impair performance on spatial tasks
– Taube, Klesslak, et al.
- 1992
|
|
4
|
Mammalian vestibular physiology
– Wilson, Jones
- 1979
|
|
3
|
Preferential use of the landmark navigational system by head direction cells in rats
– Goodridge, Taube
- 1995
|
|
3
|
Head direction cells in the dorsal presubiculum integrate both visual and angular velocity information. Society for Neuroscience Abstracts 16
– Markus, McNaughton, et al.
- 1990
|
|
2
|
Anticipatory head-direction cells in anterior thalamus: Evidence for a thalamocortical circuit that integrates angular head velocity to compute head direction
– Blair
- 1995
|
|
