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Research on network mechanisms and coding properties of grid cells assume that the firing rate of a grid cell in each of its fields is the same.
The hippocampus as a spatial map. preliminary evidence from unit activity in the freely-moving rat
John O’Keefe and Jonathan Dostrovsky · 1971
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Excitatory and inhibitory interactions in localized populations of model neurons
Hugh R Wilson and Jack D Cowan · 1972
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Place units in the hippocampus of the freely moving rat
John O’Keefe · 1976
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Head-direction cells recorded from the postsubiculum in freely moving rats. i. description and quantitative analysis
Jeffrey S Taube, Robert U Muller, and James B Ranck · 1990
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Normalized and differential convolution
Hans Knutsson and Carl-Fredrik Westin · 1993
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Positive matrix factorization: A non-negative factor model with optimal utilization of error estimates of data values
Pentti Paatero and Unto Tapper · 1994
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Associative memory and hippocampal place cells
Misha Tsodyks and Terrence Sejnowski · 1995
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Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: a theory
Kechen Zhang · 1996
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Theta phase precession in hippocampal neuronal populations and the compression of temporal sequences
William E Skaggs, Bruce L McNaughton, Matthew A Wilson, and Carol A Barnes · 1996
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Learning the parts of objects by non-negative matrix factorization
Daniel D Lee and H Sebastian Seung · 1999
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Mean shift: A robust approach toward feature space analysis
Dorin Comaniciu and Peter Meer · 2002
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Positional firing properties of postrhinal cortex neurons
Rebecca D Burwell and D M Hafeman · 2003
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Optimal information storage and the distribution of synaptic weights: perceptron versus purkinje cell
Nicolas Brunel, Vincent Hakim, Philippe Isope, Jean-Pierre Nadal, and Boris Barbour · 2004
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Spatial representation in the entorhinal cortex
Marianne Fyhn, Sturla Molden, Menno P Witter, Edvard I Moser, and May-Britt Moser · 2004
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Microstructure of a spatial map in the entorhinal cortex
Torkel Hafting, Marianne Fyhn, Sturla Molden, May-Britt Moser, and Edvard I Moser · 2005
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Conjunctive representation of position, direction, and velocity in entorhinal cortex
Francesca Sargolini, Marianne Fyhn, Torkel Hafting, Bruce L McNaughton, Menno P Witter, May-Britt Moser, and Edvard I Moser · 2006
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Path integration and the neural basis of the ’cognitive map’
Bruce L McNaughton, Francesco P Battaglia, Ole Jensen, Edvard I Moser, and May-Britt Moser · 2006
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A spin glass model of path integration in rat medial entorhinal cortex
Mark C Fuhs and David S Touretzky · 2006
Cited alongside, same era.
From grid cells to place cells: a mathematical model
Trygve Solstad, Edvard I Moser, and Gaute T Einevoll · 2006
Cited alongside, same era.
Entorhinal cortex grid cells can map to hippocampal place cells by competitive learning
Edmund T Rolls, Simon M Stringer, and Thomas Elliot · 2006
Cited alongside, same era.
An oscillatory interference model of grid cell firing
Neil Burgess, Caswell Barry, and John O’Keefe · 2007
Cited alongside, same era.
Grid cell firing may arise from interference of theta frequency membrane potential oscillations in single neurons
Michael E Hasselmo, Lisa M Giocomo, and Eric A Zilli · 2007
Cited alongside, same era.
Scale-invariant memory representations emerge from moire interference between grid fields that produce theta oscillations: a computational model
Self-organization of multiple spatial and context memories in the hippocampus
Federico Stella, Erika Cerasti, Bailu Si, Karel Jezek, and Alessandro Treves · 2012
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Recurrent inhibitory circuitry as a mechanism for grid formation
Jonathan J Couey, Aree Witoelar, Sheng-Jia Zhang, Kang Zheng, Jing Ye, Benjamin Dunn, Rafal Czajkowski, May-Britt Moser, Edvard I Moser, Yasser Roudi, et al · 2013
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Feedback inhibition enables theta-nested gamma oscillations and grid firing fields
Hugh Pastoll, Lukas Solanka, Mark CW van Rossum, and Matthew F Nolan · 2013
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Grid cells require excitatory drive from the hippocampus
Tora Bonnevie, Benjamin Dunn, Marianne Fyhn, Torkel Hafting, Dori Derdikman, John L Kubie, Yasser Roudi, Edvard I Moser, and May-Britt Moser · 2013
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A model of grid cell development through spatial exploration and spike time-dependent plasticity
John Widloski and Ila R Fiete · 2014
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Hugh T Blair, Adam C Welday, and Kechen Zhang · 2007
Cited alongside, same era.
A model of grid cells based on a twisted torus topology
Alexis Guanella, Daniel Kiper, and Paul Verschure · 2007
Cited alongside, same era.
Representation of geometric borders in the entorhinal cortex
Trygve Solstad, Charlotte N Boccara, Emilio Kropff, May-Britt Moser, and Edvard I Moser · 2008
Cited alongside, same era.
The emergence of grid cells: Intelligent design or just adaptation?
Emilio Kropff and Alessandro Treves · 2008
Cited alongside, same era.
What grid cells convey about rat location
Ila R Fiete, Yoram Burak, and Ted Brookings · 2008
Cited alongside, same era.
Accurate path integration in continuous attractor network models of grid cells
Yoram Burak and Ila R Fiete · 2009
Cited alongside, same era.
Development of the spatial representation system in the rat
Rosamund F Langston, James A Ainge, Jonathan J Couey, Cathrin B Canto, Tale L Bjerknes, Menno P Witter, Edvard I Moser, and May-Britt Moser · 2010
Cited alongside, same era.
A hybrid oscillatory interference/continuous attractor network model of grid cell firing
Daniel Bush and Neil Burgess · 2014
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Parvalbumin interneurons provide grid cell-driven recurrent inhibition in the medial entorhinal cortex
Christina Buetfering, Kevin Allen, and Hannah Monyer · 2014
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A feedforward model for the formation of a grid field where spatial information is provided solely from place cells
Luísa Castro and Paulo Aguiar · 2014
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Speed cells in the medial entorhinal cortex
Emilio Kropff, James E Carmichael, May-Britt Moser, and Edvard I Moser · 2015
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Noise promotes independent control of gamma oscillations and grid firing within recurrent attractor networks
Lukas Solanka, Mark CW van Rossum, and Matthew F Nolan · 2015
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Grid cell symmetry is shaped by environmental geometry
Julija Krupic, Marius Bauza, Stephen Burton, Caswell Barry, and John O’Keefe · 2015
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A principle of economy predicts the functional architecture of grid cells
Xue-Xin Wei, Jason Prentice, and Vijay Balasubramanian · 2015
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Self-organization of grid fields under supervision of place cells in a neuron model with associative plasticity
Andrey Stepanyuk · 2015
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Shearing-induced asymmetry in entorhinal grid cells
Tor Stensola, Hanne Stensola, May-Britt Moser, and Edvard I. Moser · 2015
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Ten years of grid cells
David C Rowland, Yasser Roudi, May-Britt Moser, and Edvard I Moser · 2016
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Transgenic depolarization of medial entorhinal cortex layer ii neurons reveals a potential novel mechanism of the grid-to-place cell transformation
Benjamin R Kanter, Christine M Lykken, Daniel Avesar, Aldis Weible, Jasmine Dickinson, Benjamin Dunn, Nils Z Borgesius, Yasser Roudi, and Clifford G Kentros · 2016
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Ellipse, from mathworld–a wolfram web resource
Eric W. Weisstein · 2016
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