Abstract
The discovery of grid cells in the entorhinal cortex (EC) of the rat (Hafting et al. 2005) has provided many hints of the mechanism of spatial computation in brain during animal movement. Since then, various experiments as well as computational modeling studies of grid cells have answered some of the key questions related to the properties of these cells. However, almost all of these studies are conducted on the rats and mice during their movement in horizontal space, and it is not clear whether the grid cells possess a three-dimensional firing field during movement in space that is either tilted or curved. In this paper, we make some predictions on the possibilities of three-dimensional shapes of grid fields by hypothesizing that they indeed possess such properties, and produce such three-dimensional fields during movement in tilted space. We show several polyhedral shapes that can be generated by our computational neural network model, and in case of movement in horizontal plane, our three-dimensional grid cell model is reduced to a two-dimensional model to generate grid fields similar to experimental findings.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
O’Keefe, J., Dostrovsky, J.: The hippocampus as a spatial map. Preliminary evidence from unit activity in the freely-moving rat. Brain Res. 34, 171–175 (1971)
O’Keefe, J.: Place units in the hippocampus of the freely moving rat. Exp. Neurol. 51, 78–109 (1976)
O’Keefe, J., Nadel, L.: The Hippocampus as a Cognitive Map. Clarendon, Oxford (1978)
Muller, R.U., Kubie, J.L., Ranck Jr., J.B.: Spatial firing patterns of hippocampal complex-spike cells in a fixed environment. Journal of Neuroscience 7, 1935–1950 (1987)
Jung, M.W., McNaughton, B.L.: Spatial selectivity of unit activity in the hippocampal granular layer. Hippocampus 3, 165–182 (1993)
Hafting, T., Fyhn, M., Molden, S., Moser, M.B., Moser, E.I.: Microstructure of a spatial map in the entorhinal cortex. Nature 436, 801–806 (2005)
McNaughton, B.L., Battaglia, F.P., Jensen, O., Moser, E.I., Moser, M.B.: Path integration and the neural basis of the “cognitive map”. Nature Rev. Neuroscience 7, 663–678 (2006)
Knierim, J., McNaughton, B.L., Poe, R.: Three-dimensional spatial property of hippocampal neurons during space flight. Nature Neuroscience 3, 211–212 (2000)
Knierim, J., McNaughton, B.L.: Hippocampal place-cell firing during movement in three-dimensional space. Journal of Neurophysiology 85, 105–116 (2001)
Burgess, N.: Grid cells and theta as oscillatory interference: Theory and predictions. Hippocampus 18, 1157–1174 (2008)
Islam, T., Yamaguchi, Y.: Representation of an Environmental Space by Grid Fields: A Study with a Computational Model of the Grid Cell Based on a Column Structure. In: Proceedings of IJCNN 2009 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Islam, T., Yamaguchi, Y. (2009). Some Computational Predictions on the Possibilities of Three-Dimensional Properties of Grid Cells in Entorhinal Cortex. In: Leung, C.S., Lee, M., Chan, J.H. (eds) Neural Information Processing. ICONIP 2009. Lecture Notes in Computer Science, vol 5863. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10677-4_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-10677-4_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10676-7
Online ISBN: 978-3-642-10677-4
eBook Packages: Computer ScienceComputer Science (R0)