Neural Representation of Space Using Sinusoidal Arrays

O'Keefe (1991) has proposed that spatial information in rats might be represented as phasors: phase and amplitude of a sine wave encoding angle and distance to a landmark. We describe computer simulations showing that operations on phasors can be efficiently realized by arrays of spiking neurons that recode the temporal dimension of the sine wave spatially. Some cells in motor and parietal cortex exhibit response properties compatible with this proposal.

[1]  Hilla Peretz,et al.  Ju n 20 03 Schrödinger ’ s Cat : The rules of engagement , 2003 .

[2]  A. P. Georgopoulos,et al.  Neuronal population coding of movement direction. , 1986, Science.

[3]  D C Van Essen,et al.  Shifter circuits: a computational strategy for dynamic aspects of visual processing. , 1987, Proceedings of the National Academy of Sciences of the United States of America.

[4]  A. Etienne.  The Control of Short-Distance Homing in the Golden Hamster , 1987 .

[5]  A. P. Georgopoulos,et al.  Primate motor cortex and free arm movements to visual targets in three- dimensional space. I. Relations between single cell discharge and direction of movement , 1988, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[6]  R. Muller,et al.  Head-direction cells recorded from the postsubiculum in freely moving rats. II. Effects of environmental manipulations , 1990, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[7]  Bruce L. McNaughton,et al.  Spatial representation in the rat: Conceptual, behavioral, and neurophysiological perspectives , 1990 .

[8]  R U Muller,et al.  Head-direction cells recorded from the postsubiculum in freely moving rats. I. Description and quantitative analysis , 1990, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[9]  B. McNaughton,et al.  Hebb-Marr networks and the neurobiological representation of action in space. , 1990 .

[10]  L. Nadel.  The hippocampus and space revisited , 1991, Hippocampus.

[11]  J O'Keefe,et al.  An allocentric spatial model for the hippocampal cognitive map , 1991, Hippocampus.

[12]  B. McNaughton,et al.  Dead Reckoning, Landmark Learning, and the Sense of Direction: A Neurophysiological and Computational Hypothesis , 1991, Journal of Cognitive Neuroscience.

[13]  J. O’Keefe,et al.  Using hippocampal 'place cells' for navigation , 1993, Neural Information Processing Systems.

[14]  J. O’Keefe,et al.  Phase relationship between hippocampal place units and the EEG theta rhythm , 1993, Hippocampus.

[15]  L F Abbott,et al.  Decoding neuronal firing and modelling neural networks , 1994, Quarterly Reviews of Biophysics.

[16]  Tom Heskes,et al.  A Neural Model of Visual Attention , 1995, SNN Symposium on Neural Networks.