Soman K, Chakravarthy S, Yartsev MM. (2018). A hierarchical anti-Hebbian network model for the formation of spatial cells in three-dimensional space. Nature communications. 9 [PubMed]

See more from authors: Soman K · Chakravarthy S · Yartsev MM

References and models cited by this paper

Barry C, Hayman R, Burgess N, Jeffery KJ. (2007). Experience-dependent rescaling of entorhinal grids. Nature neuroscience. 10 [PubMed]

Barry C et al. (2006). The boundary vector cell model of place cell firing and spatial memory. Reviews in the neurosciences. 17 [PubMed]

Bassett JP, Taube JS. (2001). Neural correlates for angular head velocity in the rat dorsal tegmental nucleus. The Journal of neuroscience : the official journal of the Society for Neuroscience. 21 [PubMed]

Bicanski A, Burgess N. (2016). Environmental Anchoring of Head Direction in a Computational Model of Retrosplenial Cortex. The Journal of neuroscience : the official journal of the Society for Neuroscience. 36 [PubMed]

Bjerknes TL, Moser EI, Moser MB. (2014). Representation of geometric borders in the developing rat. Neuron. 82 [PubMed]

Blair HT, Gupta K, Zhang K. (2008). Conversion of a phase- to a rate-coded position signal by a three-stage model of theta cells, grid cells, and place cells. Hippocampus. 18 [PubMed]

Bonnevie T et al. (2013). Grid cells require excitatory drive from the hippocampus. Nature neuroscience. 16 [PubMed]

Burak Y, Fiete IR. (2009). Accurate path integration in continuous attractor network models of grid cells. PLoS computational biology. 5 [PubMed]

Burgess N, Barry C, O'Keefe J. (2007). An oscillatory interference model of grid cell firing. Hippocampus. 17 [PubMed]

Burgess N, O'Keefe J. (2011). Models of place and grid cell firing and theta rhythmicity. Current opinion in neurobiology. 21 [PubMed]

Bush D, Burgess N. (2014). A hybrid oscillatory interference/continuous attractor network model of grid cell firing. The Journal of neuroscience : the official journal of the Society for Neuroscience. 34 [PubMed]

Calton JL, Taube JS. (2005). Degradation of head direction cell activity during inverted locomotion. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]

Conway JH, Sloane NJA. (2013). Sphere Packings, Lattices and Groups. 290

Diamantaras KI, Kung SI, Taur JS. (1994). Adaptive principal component extraction (APEX) and applications IEEE Trans Signal Processing. 42

Diehl GW, Hon OJ, Leutgeb S, Leutgeb JK. (2017). Grid and Nongrid Cells in Medial Entorhinal Cortex Represent Spatial Location and Environmental Features with Complementary Coding Schemes. Neuron. 94 [PubMed]

Finkelstein A et al. (2015). Three-dimensional head-direction coding in the bat brain. Nature. 517 [PubMed]

Finkelstein A, Las L, Ulanovsky N. (2016). 3-D Maps and Compasses in the Brain. Annual review of neuroscience. 39 [PubMed]

Fuhs MC, Touretzky DS. (2006). A spin glass model of path integration in rat medial entorhinal cortex. The Journal of neuroscience : the official journal of the Society for Neuroscience. 26 [PubMed]

Földiák P. (1990). Forming sparse representations by local anti-Hebbian learning. Biological cybernetics. 64 [PubMed]

Gaussier P et al. (2007). A model of grid cells involving extra hippocampal path integration, and the hippocampal loop. Journal of integrative neuroscience. 6 [PubMed]

Geva-Sagiv M, Romani S, Las L, Ulanovsky N. (2016). Hippocampal global remapping for different sensory modalities in flying bats. Nature neuroscience. 19 [PubMed]

Guanella A, Kiper D, Verschure P. (2007). A model of grid cells based on a twisted torus topology. International journal of neural systems. 17 [PubMed]

Hafting T, Fyhn M, Molden S, Moser MB, Moser EI. (2005). Microstructure of a spatial map in the entorhinal cortex. Nature. 436 [PubMed]

Haykin S. (1989). An introduction to analog and digital communications.

Hayman R, Verriotis MA, Jovalekic A, Fenton AA, Jeffery KJ. (2011). Anisotropic encoding of three-dimensional space by place cells and grid cells. Nature neuroscience. 14 [PubMed]

Hayman RM, Casali G, Wilson JJ, Jeffery KJ. (2015). Grid cells on steeply sloping terrain: evidence for planar rather than volumetric encoding. Frontiers in psychology. 6 [PubMed]

Heys JG, MacLeod KM, Moss CF, Hasselmo ME. (2013). Bat and rat neurons differ in theta-frequency resonance despite similar coding of space. Science (New York, N.Y.). 340 [PubMed]

Horiuchi TK, Moss CF. (2015). Grid cells in 3-D: Reconciling data and models. Hippocampus. 25 [PubMed]

Jeffery KJ, Wilson JJ, Casali G, Hayman RM. (2015). Neural encoding of large-scale three-dimensional space-properties and constraints. Frontiers in psychology. 6 [PubMed]

Knierim JJ, McNaughton BL. (2001). Hippocampal place-cell firing during movement in three-dimensional space. Journal of neurophysiology. 85 [PubMed]

Kropff E, Treves A. (2008). The emergence of grid cells: Intelligent design or just adaptation? Hippocampus. 18 [PubMed]

Laurens J, Angelaki DE. (2018). The Brain Compass: A Perspective on How Self-Motion Updates the Head Direction Cell Attractor. Neuron. 97 [PubMed]

Laurens J, Kim B, Dickman JD, Angelaki DE. (2016). Gravity orientation tuning in macaque anterior thalamus. Nature neuroscience. 19 [PubMed]

Lever C, Burton S, Jeewajee A, O'Keefe J, Burgess N. (2009). Boundary vector cells in the subiculum of the hippocampal formation. The Journal of neuroscience : the official journal of the Society for Neuroscience. 29 [PubMed]

Mathis A, Stemmler MB, Herz AV. (2015). Probable nature of higher-dimensional symmetries underlying mammalian grid-cell activity patterns. eLife. 4 [PubMed]

Mhatre H, Gorchetchnikov A, Grossberg S. (2012). Grid cell hexagonal patterns formed by fast self-organized learning within entorhinal cortex. Hippocampus. 22 [PubMed]

Morris R. (1984). Developments of a water-maze procedure for studying spatial learning in the rat. Journal of neuroscience methods. 11 [PubMed]

Moser EI et al. (2014). Grid cells and cortical representation. Nature reviews. Neuroscience. 15 [PubMed]

O'Keefe J, Dostrovsky J. (1971). The hippocampus as a spatial map. Preliminary evidence from unit activity in the freely-moving rat. Brain research. 34 [PubMed]

Oja E. (1982). A simplified neuron model as a principal component analyzer. Journal of mathematical biology. 15 [PubMed]

Omer DB, Maimon SR, Las L, Ulanovsky N. (2018). Social place-cells in the bat hippocampus. Science (New York, N.Y.). 359 [PubMed]

Page HJI, Wilson JJ, Jeffery KJ. (2018). A dual-axis rotation rule for updating the head direction cell reference frame during movement in three dimensions. Journal of neurophysiology. 119 [PubMed]

Pehlevan C, Hu T, Chklovskii DB. (2015). A Hebbian/Anti-Hebbian Neural Network for Linear Subspace Learning: A Derivation from Multidimensional Scaling of Streaming Data. Neural computation. 27 [PubMed]

Sanger TD. (1989). Optimal unsupervised learning in a single-layer linear feedforward neural networks Neural Networks. 2

Solstad T, Boccara CN, Kropff E, Moser MB, Moser EI. (2008). Representation of geometric borders in the entorhinal cortex. Science (New York, N.Y.). 322 [PubMed]

Soman K, Chakravarthy VS, Muralidharan V. (2018). A model of multisensory integration and its influence on hippocampal spatial cell responses IEEE Trans Cogn Dev.

Soman K, Muralidharan V, Chakravarthy VS. (2018). A unified hierarchical oscillatory network model of head direction cells, spatially periodic cells, and place cells. The European journal of neuroscience. 47 [PubMed]

Stackman RW, Taube JS. (1998). Firing properties of rat lateral mammillary single units: head direction, head pitch, and angular head velocity. The Journal of neuroscience : the official journal of the Society for Neuroscience. 18 [PubMed]

Stackman RW, Tullman ML, Taube JS. (2000). Maintenance of rat head direction cell firing during locomotion in the vertical plane. Journal of neurophysiology. 83 [PubMed]

Stella F, Treves A. (2015). The self-organization of grid cells in 3D. eLife. 4 [PubMed]

Stent GS. (1973). A physiological mechanism for Hebb's postulate of learning. Proceedings of the National Academy of Sciences of the United States of America. 70 [PubMed]

Tabachnick BG, Fidell LS. (2007). Using Multivariate Statistics.

Taube JS, Bassett JP. (2003). Persistent neural activity in head direction cells. Cerebral cortex (New York, N.Y. : 1991). 13 [PubMed]

Taube JS, Muller RU, Ranck JB. (1990). Head-direction cells recorded from the postsubiculum in freely moving rats. I. Description and quantitative analysis. The Journal of neuroscience : the official journal of the Society for Neuroscience. 10 [PubMed]

Taube JS, Muller RU, Ranck JB. (1990). Head-direction cells recorded from the postsubiculum in freely moving rats. II. Effects of environmental manipulations. The Journal of neuroscience : the official journal of the Society for Neuroscience. 10 [PubMed]

Ulanovsky N. (2011). Neuroscience: how is three-dimensional space encoded in the brain? Current biology : CB. 21 [PubMed]

Ulanovsky N, Moss CF. (2007). Hippocampal cellular and network activity in freely moving echolocating bats. Nature neuroscience. 10 [PubMed]

Widloski J, Fiete IR. (2014). A model of grid cell development through spatial exploration and spike time-dependent plasticity. Neuron. 83 [PubMed]

Wold S, Esbensen K, Geladi P. (1987). Principal component analysis Chemom Intell Lab Syst. 2

Yang B. (1995). Projection approximation subspace tracking IEEE Trans Signal Processing. 43

Yartsev MM. (2013). Eppendorf. Space bats: multidimensional spatial representation in the bat. Science (New York, N.Y.). 342 [PubMed]

Yartsev MM. (2017). The emperor's new wardrobe: Rebalancing diversity of animal models in neuroscience research. Science (New York, N.Y.). 358 [PubMed]

Yartsev MM, Ulanovsky N. (2013). Representation of three-dimensional space in the hippocampus of flying bats. Science (New York, N.Y.). 340 [PubMed]

Yartsev MM, Witter MP, Ulanovsky N. (2011). Grid cells without theta oscillations in the entorhinal cortex of bats. Nature. 479 [PubMed]

Zilli EA, Hasselmo ME. (2010). Coupled noisy spiking neurons as velocity-controlled oscillators in a model of grid cell spatial firing. The Journal of neuroscience : the official journal of the Society for Neuroscience. 30 [PubMed]

References and models that cite this paper
This website requires cookies and limited processing of your personal data in order to function. By continuing to browse or otherwise use this site, you are agreeing to this use. See our Privacy policy and how to cite and terms of use.