Acker CD, Kopell N, White JA. (2003). Synchronization of strongly coupled excitatory neurons: relating network behavior to biophysics. Journal of computational neuroscience. 15 [PubMed]
Alonso A, Klink R. (1993). Differential electroresponsiveness of stellate and pyramidal-like cells of medial entorhinal cortex layer II. Journal of neurophysiology. 70 [PubMed]
Ang CW, Carlson GC, Coulter DA. (2005). Hippocampal CA1 circuitry dynamically gates direct cortical inputs preferentially at theta frequencies. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]
Barry C, Hayman R, Burgess N, Jeffery KJ. (2007). Experience-dependent rescaling of entorhinal grids. Nature neuroscience. 10 [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]
Blair HT, Welday AC, Zhang K. (2007). Scale-invariant memory representations emerge from moiré interference between grid fields that produce theta oscillations: a computational model. The Journal of neuroscience : the official journal of the Society for Neuroscience. 27 [PubMed]
Burak Y, Fiete IR. (2009). Accurate path integration in continuous attractor network models of grid cells. PLoS computational biology. 5 [PubMed]
Burgess N. (2008). Grid cells and theta as oscillatory interference: theory and predictions. Hippocampus. 18 [PubMed]
Burgess N, Barry C, O'Keefe J. (2007). An oscillatory interference model of grid cell firing. Hippocampus. 17 [PubMed]
Chapman CA, Lacaille JC. (1999). Intrinsic theta-frequency membrane potential oscillations in hippocampal CA1 interneurons of stratum lacunosum-moleculare. Journal of neurophysiology. 81 [PubMed]
Cumin D, Unsworth C. (2007). Generalising the Kuramoto model for the study of neuronal synchronisation in the brain Physica D. 226
Dhillon A, Jones RS. (2000). Laminar differences in recurrent excitatory transmission in the rat entorhinal cortex in vitro. Neuroscience. 99 [PubMed]
Dickson CT et al. (2000). Properties and role of I(h) in the pacing of subthreshold oscillations in entorhinal cortex layer II neurons. Journal of neurophysiology. 83 [PubMed]
Erchova I, Kreck G, Heinemann U, Herz AV. (2004). Dynamics of rat entorhinal cortex layer II and III cells: characteristics of membrane potential resonance at rest predict oscillation properties near threshold. The Journal of physiology. 560 [PubMed]
Fernandez FR, White JA. (2008). Artificial synaptic conductances reduce subthreshold oscillations and periodic firing in stellate cells of the entorhinal cortex. The Journal of neuroscience : the official journal of the Society for Neuroscience. 28 [PubMed]
Fernandez FR, White JA. (2010). Gain control in CA1 pyramidal cells using changes in somatic conductance. The Journal of neuroscience : the official journal of the Society for Neuroscience. 30 [PubMed]
Fransén E, Alonso AA, Dickson CT, Magistretti J, Hasselmo ME. (2004). Ionic mechanisms in the generation of subthreshold oscillations and action potential clustering in entorhinal layer II stellate neurons. Hippocampus. 14 [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]
Fyhn M, Molden S, Witter MP, Moser EI, Moser MB. (2004). Spatial representation in the entorhinal cortex. Science (New York, N.Y.). 305 [PubMed]
Galán RF, Ermentrout GB, Urban NN. (2007). Stochastic dynamics of uncoupled neural oscillators: Fokker-Planck studies with the finite element method. Physical review. E, Statistical, nonlinear, and soft matter physics. 76 [PubMed]
Garden DL, Dodson PD, O'Donnell C, White MD, Nolan MF. (2008). Tuning of synaptic integration in the medial entorhinal cortex to the organization of grid cell firing fields. Neuron. 60 [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]
Giocomo LM, Hasselmo ME. (2008). Computation by oscillations: implications of experimental data for theoretical models of grid cells. Hippocampus. 18 [PubMed]
Giocomo LM, Zilli EA, Fransén E, Hasselmo ME. (2007). Temporal frequency of subthreshold oscillations scales with entorhinal grid cell field spacing. Science (New York, N.Y.). 315 [PubMed]
Glasgow SD, Chapman CA. (2007). Local generation of theta-frequency EEG activity in the parasubiculum. Journal of neurophysiology. 97 [PubMed]
Goaillard JM, Taylor AL, Schulz DJ, Marder E. (2009). Functional consequences of animal-to-animal variation in circuit parameters. Nature neuroscience. 12 [PubMed]
Golomb D, Rinzel J. (1993). Dynamics of globally coupled inhibitory neurons with heterogeneity. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 48 [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]
Haas JS, White JA. (2002). Frequency selectivity of layer II stellate cells in the medial entorhinal cortex. Journal of neurophysiology. 88 [PubMed]
Hafting T, Fyhn M, Molden S, Moser MB, Moser EI. (2005). Microstructure of a spatial map in the entorhinal cortex. Nature. 436 [PubMed]
Harvey CD, Collman F, Dombeck DA, Tank DW. (2009). Intracellular dynamics of hippocampal place cells during virtual navigation. Nature. 461 [PubMed]
Hasselmo ME. (2008). Grid cell mechanisms and function: contributions of entorhinal persistent spiking and phase resetting. Hippocampus. 18 [PubMed]
Hasselmo ME, Giocomo LM, Zilli EA. (2007). Grid cell firing may arise from interference of theta frequency membrane potential oscillations in single neurons. Hippocampus. 17 [PubMed]
Hu H, Vervaeke K, Graham LJ, Storm JF. (2009). Complementary theta resonance filtering by two spatially segregated mechanisms in CA1 hippocampal pyramidal neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 29 [PubMed]
Hu H, Vervaeke K, Storm JF. (2002). Two forms of electrical resonance at theta frequencies, generated by M-current, h-current and persistent Na+ current in rat hippocampal pyramidal cells. The Journal of physiology. 545 [PubMed]
Huhn Z, Orbán G, Erdi P, Lengyel M. (2005). Theta oscillation-coupled dendritic spiking integrates inputs on a long time scale. Hippocampus. 15 [PubMed]
Izhikevich E. (2001). Resonate-and-fire neurons Neural Networks. 14(6-7)
Izhikevich EM. (2003). Simple model of spiking neurons. IEEE transactions on neural networks. 14 [PubMed]
Izhikevich EM. (2007). Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting.
Jarsky T, Roxin A, Kath WL, Spruston N. (2005). Conditional dendritic spike propagation following distal synaptic activation of hippocampal CA1 pyramidal neurons. Nature neuroscience. 8 [PubMed]
Jeewajee A, Barry C, O'Keefe J, Burgess N. (2008). Grid cells and theta as oscillatory interference: electrophysiological data from freely moving rats. Hippocampus. 18 [PubMed]
Knierim JJ, Yoganarasimha D, Voicu H, Deshmukh SS. (2009). Theta-skipping in the medial entorhinal cortex Soc Neurosci Abstr. 35
Kropff E, Treves A. (2008). The emergence of grid cells: Intelligent design or just adaptation? Hippocampus. 18 [PubMed]
Lee AK, Epsztein J, Brecht M. (2009). Head-anchored whole-cell recordings in freely moving rats. Nature protocols. 4 [PubMed]
Lengyel M, Szatmáry Z, Erdi P. (2003). Dynamically detuned oscillations account for the coupled rate and temporal code of place cell firing. Hippocampus. 13 [PubMed]
Leung LS, Yu HW. (1998). Theta-frequency resonance in hippocampal CA1 neurons in vitro demonstrated by sinusoidal current injection. Journal of neurophysiology. 79 [PubMed]
Ly C, Ermentrout GB. (2009). Synchronization dynamics of two coupled neural oscillators receiving shared and unshared noisy stimuli. Journal of computational neuroscience. 26 [PubMed]
Ly C, Ermentrout GB. (2010). Coupling regularizes individual units in noisy populations. Physical review. E, Statistical, nonlinear, and soft matter physics. 81 [PubMed]
Magistretti J, Alonso A. (1999). Biophysical properties and slow voltage-dependent inactivation of a sustained sodium current in entorhinal cortex layer-II principal neurons: a whole-cell and single-channel study. The Journal of general physiology. 114 [PubMed]
Magistretti J, Alonso A. (2002). Fine gating properties of channels responsible for persistent sodium current generation in entorhinal cortex neurons. The Journal of general physiology. 120 [PubMed]
Manor Y, Rinzel J, Segev I, Yarom Y. (1997). Low-amplitude oscillations in the inferior olive: a model based on electrical coupling of neurons with heterogeneous channel densities. Journal of neurophysiology. 77 [PubMed]
Marella S, Ermentrout GB. (2008). Class-II neurons display a higher degree of stochastic synchronization than class-I neurons. Physical review. E, Statistical, nonlinear, and soft matter physics. 77 [PubMed]
McNaughton BL, Battaglia FP, Jensen O, Moser EI, Moser MB. (2006). Path integration and the neural basis of the 'cognitive map'. Nature reviews. Neuroscience. 7 [PubMed]
Mehaffey WH, Doiron B, Maler L, Turner RW. (2005). Deterministic multiplicative gain control with active dendrites. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]
Nakao H, Arai K, Kawamura Y. (2007). Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators. Physical review letters. 98 [PubMed]
Nordlie E, Gewaltig MO, Plesser HE. (2009). Towards reproducible descriptions of neuronal network models. PLoS computational biology. 5 [PubMed]
O'Keefe J, Burgess N. (2005). Dual phase and rate coding in hippocampal place cells: theoretical significance and relationship to entorhinal grid cells. Hippocampus. 15 [PubMed]
O'Keefe J, Recce ML. (1993). Phase relationship between hippocampal place units and the EEG theta rhythm. Hippocampus. 3 [PubMed]
Pape HC, Paré D, Driesang RB. (1998). Two types of intrinsic oscillations in neurons of the lateral and basolateral nuclei of the amygdala. Journal of neurophysiology. 79 [PubMed]
Prescott SA, Ratté S, De Koninck Y, Sejnowski TJ. (2008). Pyramidal neurons switch from integrators in vitro to resonators under in vivo-like conditions. Journal of neurophysiology. 100 [PubMed]
Redish AD. (1999). Beyond the cognitive map: from place cells to episodic memory.
Redish AD, Touretzky DS. (1997). Cognitive maps beyond the hippocampus. Hippocampus. 7 [PubMed]
Remme MW, Lengyel M, Gutkin BS. (2009). The role of ongoing dendritic oscillations in single-neuron dynamics. PLoS computational biology. 5 [PubMed]
Samu D, Eros P, Ujfalussy B, Kiss T. (2009). Robust path integration in the entorhinal grid cell system with hippocampal feed-back. Biological cybernetics. 101 [PubMed]
Sargolini F et al. (2006). Conjunctive representation of position, direction, and velocity in entorhinal cortex. Science (New York, N.Y.). 312 [PubMed]
Sejnowski TJ, Needleman DJ, Tisienga_PH Tisienga_PHE. (2001). Collective enhancement of precision in networks of coupled oscillators. Physica D. 155
Tabareau N, Slotine JJ, Pham QC. (2010). How synchronization protects from noise. PLoS computational biology. 6 [PubMed]
Teramae JN, Tanaka D. (2004). Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators. Physical review letters. 93 [PubMed]
Tsodyks M, Mitkov I, Sompolinsky H. (1993). Pattern of synchrony in inhomogeneous networks of oscillators with pulse interactions. Physical review letters. 71 [PubMed]
Wang XJ, Buzsáki G. (1996). Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model. The Journal of neuroscience : the official journal of the Society for Neuroscience. 16 [PubMed]
Welinder PE, Burak Y, Fiete IR. (2008). Grid cells: the position code, neural network models of activity, and the problem of learning. Hippocampus. 18 [PubMed]
White JA, Chow CC, Ritt J, Soto-Treviño C, Kopell N. (1998). Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. Journal of computational neuroscience. 5 [PubMed]
Winfree AT. (1967). Biological rhythms and the behavior of populations of coupled oscillators. Journal of theoretical biology. 16 [PubMed]
Witter MP, Couey JJ. (2010). Local synaptic organization of the entorhinal cortex layer II network FENS Abstr. 5
Zilli EA, Yoshida M, Tahvildari B, Giocomo LM, Hasselmo ME. (2009). Evaluation of the oscillatory interference model of grid cell firing through analysis and measured period variance of some biological oscillators. PLoS computational biology. 5 [PubMed]
Castro L, Aguiar P. (2014). A feedforward model for the formation of a grid field where spatial information is provided solely from place cells. Biological cybernetics. 108 [PubMed]
Monaco JD, Knierim JJ, Zhang K. (2011). Sensory feedback, error correction, and remapping in a multiple oscillator model of place cell activity Frontiers in computational neuroscience. 5 [PubMed]
Schmidt-Hieber C, Häusser M. (2013). Cellular mechanisms of spatial navigation in the medial entorhinal cortex. Nature neuroscience. 16 [PubMed]
Welday AC, Shlifer IG, Bloom ML, Zhang K, Blair HT. (2011). Cosine directional tuning of theta cell burst frequencies: evidence for spatial coding by oscillatory interference. The Journal of neuroscience : the official journal of the Society for Neuroscience. 31 [PubMed]
Zilli EA. (2012). Models of grid cell spatial firing published 2005-2011. Frontiers in neural circuits. 6 [PubMed]