TY - JOUR AU - Hasselmo, M. E. PY - 2013 DA - 2013// TI - Neuronal rebound spiking, resonance frequency and theta cycle skipping may contribute to grid cell firing in medial entorhinal cortex JO - Philos Trans R Soc Lond B, Biol Sci VL - 369 UR - https://doi.org/10.1098/rstb.2012.0523 DO - 10.1098/rstb.2012.0523 ID - Hasselmo2013 ER - TY - JOUR AU - Fyhn, M. AU - Molden, S. AU - Witter, M. P. AU - Moser, E. I. AU - Moser, M. -. B. PY - 2004 DA - 2004// TI - Spatial representation in the entorhinal cortex JO - Science VL - 305 UR - https://doi.org/10.1126/science.1099901 DO - 10.1126/science.1099901 ID - Fyhn2004 ER - TY - JOUR AU - Tolman, E. C. PY - 1948 DA - 1948// TI - Cognitive maps in rats and men JO - Psychol Rev VL - 55 UR - https://doi.org/10.1037/h0061626 DO - 10.1037/h0061626 ID - Tolman1948 ER - TY - BOOK AU - O’Keefe, J. AU - Nadal, L. PY - 1978 DA - 1978// TI - The hippocampus as a cognitive map PB - Clarendon CY - Oxford ID - O’Keefe1978 ER - TY - JOUR AU - Hafting, T. AU - Fyhn, M. AU - Molden, S. AU - Moser, M. -. B. AU - Moser, E. I. PY - 2005 DA - 2005// TI - Microstructure of a spatial map in the entorhinal cortex JO - Nature VL - 436 UR - https://doi.org/10.1038/nature03721 DO - 10.1038/nature03721 ID - Hafting2005 ER - TY - JOUR AU - Brun, V. H. AU - Solstad, T. AU - Kjelstrup, K. B. AU - Fyhn, M. AU - Witter, M. P. AU - Moser, E. I. AU - Moser, M. -. B. PY - 2008 DA - 2008// TI - Progressive increase in grid scale from dorsal to ventral medial entorhinal cortex JO - Hippocampus VL - 18 UR - https://doi.org/10.1002/hipo.20504 DO - 10.1002/hipo.20504 ID - Brun2008 ER - TY - JOUR AU - Rowland, D. C. AU - Roudi, Y. AU - Moser, M. -. B. AU - Moser, E. I. PY - 2016 DA - 2016// TI - Ten years of grid cells JO - Annu Rev Neurosci VL - 39 UR - https://doi.org/10.1146/annurev-neuro-070815-013824 DO - 10.1146/annurev-neuro-070815-013824 ID - Rowland2016 ER - TY - JOUR AU - Giocomo, L. M. AU - Moser, M. -. B. AU - Moser, E. I. PY - 2011 DA - 2011// TI - Computational models of grid cells JO - Neuron VL - 71 UR - https://doi.org/10.1016/j.neuron.2011.07.023 DO - 10.1016/j.neuron.2011.07.023 ID - Giocomo2011 ER - TY - JOUR AU - Schmidt-Hieber, C. AU - Häusser, M. PY - 2014 DA - 2014// TI - How to build a grid cell JO - Philos Trans R Soc Lond B, Biol Sci VL - 369 UR - https://doi.org/10.1098/rstb.2012.0520 DO - 10.1098/rstb.2012.0520 ID - Schmidt-Hieber2014 ER - TY - JOUR AU - Burgess, N. AU - Barry, C. AU - O’Keefe, J. PY - 2007 DA - 2007// TI - An oscillatory interference model of grid cell firing JO - Hippocampus VL - 17 UR - https://doi.org/10.1002/hipo.20327 DO - 10.1002/hipo.20327 ID - Burgess2007 ER - TY - JOUR AU - Reifenstein, E. T. AU - Kempter, R. AU - Schreiber, S. AU - Stemmler, M. B. AU - Herz, A. V. M. PY - 2012 DA - 2012// TI - Grid cells in rat entorhinal cortex encode physical space with independent firing fields and phase precession at the single-trial level JO - Proc Natl Acad Sci USA VL - 109 UR - https://doi.org/10.1073/pnas.1109599109 DO - 10.1073/pnas.1109599109 ID - Reifenstein2012 ER - TY - JOUR AU - Fuhs, M. C. AU - Touretzky, D. S. PY - 2006 DA - 2006// TI - A spin glass model of path integration in rat medial entorhinal cortex JO - J Neurosci VL - 26 UR - https://doi.org/10.1523/JNEUROSCI.4353-05.2006 DO - 10.1523/JNEUROSCI.4353-05.2006 ID - Fuhs2006 ER - TY - JOUR AU - Burak, Y. AU - Fiete, I. R. PY - 2009 DA - 2009// TI - Accurate path integration in continuous attractor network models of grid cells JO - PLoS Comput Biol VL - 5 UR - https://doi.org/10.1371/journal.pcbi.1000291 DO - 10.1371/journal.pcbi.1000291 ID - Burak2009 ER - TY - JOUR AU - McNaughton, B. L. AU - Battaglia, F. P. AU - Jensen, O. AU - Moser, E. I. AU - Moser, M. -. B. PY - 2006 DA - 2006// TI - Path integration and the neural basis of the ‘cognitive map’ JO - Nat Rev Neurosci VL - 7 UR - https://doi.org/10.1038/nrn1932 DO - 10.1038/nrn1932 ID - McNaughton2006 ER - TY - JOUR AU - Guanella, A. AU - Kiper, D. AU - Verschure, P. PY - 2007 DA - 2007// TI - A model of grid cells based on a twisted torus topology JO - Int J Neural Syst VL - 17 UR - https://doi.org/10.1142/S0129065707001093 DO - 10.1142/S0129065707001093 ID - Guanella2007 ER - TY - JOUR AU - Mhatre, H. AU - Gorchetchnikov, A. AU - Grossberg, S. PY - 2012 DA - 2012// TI - Grid cell hexagonal patterns formed by fast self-organized learning within entorhinal cortex JO - Hippocampus VL - 22 UR - https://doi.org/10.1002/hipo.20901 DO - 10.1002/hipo.20901 ID - Mhatre2012 ER - TY - JOUR AU - Pilly, P. K. AU - Grossberg, S. PY - 2013 DA - 2013// TI - Spiking neurons in a hierarchical self-organizing map model can learn to develop spatial and temporal properties of entorhinal grid cells and hippocampal place cells JO - PLoS ONE VL - 8 UR - https://doi.org/10.1371/journal.pone.0060599 DO - 10.1371/journal.pone.0060599 ID - Pilly2013 ER - TY - JOUR AU - Pilly, P. K. AU - Grossberg, S. PY - 2014 DA - 2014// TI - How does the modular organization of entorhinal grid cells develop? JO - Front Human Neurosci VL - 8 UR - https://doi.org/10.3389/fnhum.2014.00337 DO - 10.3389/fnhum.2014.00337 ID - Pilly2014 ER - TY - JOUR AU - Barry, C. AU - Hayman, R. AU - Burgess, N. AU - Jeffery, K. J. PY - 2007 DA - 2007// TI - Experience-dependent rescaling of entorhinal grids JO - Nat Neurosci VL - 10 UR - https://doi.org/10.1038/nn1905 DO - 10.1038/nn1905 ID - Barry2007 ER - TY - JOUR AU - Stensola, H. AU - Stensola, T. AU - Solstad, T. AU - Frøland, K. AU - Moser, M. -. B. AU - Moser, E. I. PY - 2012 DA - 2012// TI - The entorhinal grid map is discretized JO - Nature VL - 492 UR - https://doi.org/10.1038/nature11649 DO - 10.1038/nature11649 ID - Stensola2012 ER - TY - JOUR AU - Couey, J. J. AU - Witoelar, A. AU - Zhang, S. -. J. AU - Zheng, K. AU - Ye, J. AU - Dunn, B. AU - Czajkowski, R. AU - Moser, M. -. B. AU - Moser, E. I. AU - Roudi, Y. AU - Witter, M. P. PY - 2013 DA - 2013// TI - Recurrent inhibitory circuitry as a mechanism for grid formation JO - Nat Neurosci VL - 16 UR - https://doi.org/10.1038/nn.3310 DO - 10.1038/nn.3310 ID - Couey2013 ER - TY - JOUR AU - Buetfering, C. AU - Allen, K. AU - Monyer, H. PY - 2014 DA - 2014// TI - Parvalbumin interneurons provide grid cell-driven recurrent inhibition in the medial entorhinal cortex JO - Nat Neurosci VL - 17 UR - https://doi.org/10.1038/nn.3696 DO - 10.1038/nn.3696 ID - Buetfering2014 ER - TY - JOUR AU - Alonso, A. AU - Llinás, R. R. PY - 1989 DA - 1989// TI - Subthreshold Na+-dependent theta-like rhythmicity in stellate cells of entorhinal cortex layer II JO - Nature VL - 342 UR - https://doi.org/10.1038/342175a0 DO - 10.1038/342175a0 ID - Alonso1989 ER - TY - JOUR AU - Pastoll, H. AU - Ramsden, H. L. AU - Nolan, M. F. PY - 2012 DA - 2012// TI - Intrinsic electrophysiological properties of entorhinal cortex stellate cells and their contribution to grid cell firing fields JO - Front Neural Circuits VL - 6 UR - https://doi.org/10.3389/fncir.2012.00017 DO - 10.3389/fncir.2012.00017 ID - Pastoll2012 ER - TY - JOUR AU - Giocomo, L. M. AU - Zilli, E. A. AU - Fransén, E. AU - Hasselmo, M. E. PY - 2007 DA - 2007// TI - Temporal frequency of subthreshold oscillations scales with entorhinal grid cell field spacing JO - Science VL - 315 UR - https://doi.org/10.1126/science.1139207 DO - 10.1126/science.1139207 ID - Giocomo2007 ER - TY - JOUR AU - Nolan, M. F. AU - Dudman, J. T. AU - Dodson, P. D. AU - Santoro, B. PY - 2007 DA - 2007// TI - HCN1 channels control resting and active integrative properties of stellate cells from layer II of the entorhinal cortex JO - J Neurosci VL - 27 UR - https://doi.org/10.1523/JNEUROSCI.2358-07.2007 DO - 10.1523/JNEUROSCI.2358-07.2007 ID - Nolan2007 ER - TY - JOUR AU - Navratilova, Z. AU - Giocomo, L. M. AU - Fellous, J. -. M. AU - Hasselmo, M. E. AU - McNaughton, B. L. PY - 2012 DA - 2012// TI - Phase precession and variable spatial scaling in a periodic attractor map model of medial entorhinal grid cells with realistic after-spike dynamics JO - Hippocampus VL - 22 UR - https://doi.org/10.1002/hipo.20939 DO - 10.1002/hipo.20939 ID - Navratilova2012 ER - TY - JOUR AU - Hasselmo, M. E. AU - Shay, C. F. PY - 2014 DA - 2014// TI - Grid cell firing patterns may arise from feedback interaction between intrinsic rebound spiking and transverse traveling waves with multiple heading angles JO - Front Syst Neurosci VL - 8 UR - https://doi.org/10.3389/fnsys.2014.00201 DO - 10.3389/fnsys.2014.00201 ID - Hasselmo2014 ER - TY - JOUR AU - Tsuno, Y. AU - Chapman, G. W. AU - Hasselmo, M. E. PY - 2015 DA - 2015// TI - Rebound spiking properties of mouse medial entorhinal cortex neurons in vivo JO - Eur J Neurosci VL - 42 UR - https://doi.org/10.1111/ejn.13097 DO - 10.1111/ejn.13097 ID - Tsuno2015 ER - TY - JOUR AU - Shay, C. F. AU - Ferrante, M. AU - Chapman, G. W. AU - Hasselmo, M. E. PY - 2015 DA - 2015// TI - Rebound spiking in layer II medial entorhinal cortex stellate cells: possible mechanism of grid cell function JO - Neurobiol Learn Mem VL - 129 UR - https://doi.org/10.1016/j.nlm.2015.09.004 DO - 10.1016/j.nlm.2015.09.004 ID - Shay2015 ER - TY - JOUR AU - Ferrante, M. AU - Shay, C. F. AU - Tsuno, Y. AU - Chapman, G. W. AU - Hasselmo, M. E. PY - 2017 DA - 2017// TI - Post-inhibitory rebound spikes in rat medial entorhinal layer II/III principal cells: in vivo, in vitro, and computational modeling characterization JO - Cereb Cortex VL - 27 ID - Ferrante2017 ER - TY - JOUR AU - Heys, J. G. AU - Hasselmo, M. E. PY - 2012 DA - 2012// TI - Neuromodulation of Ih$I_{h}$ in layer II medial entorhinal cortex stellate cells: a voltage clamp study JO - J Neurosci VL - 32 UR - https://doi.org/10.1523/JNEUROSCI.0868-12.2012 DO - 10.1523/JNEUROSCI.0868-12.2012 ID - Heys2012 ER - TY - JOUR AU - Shay, C. F. AU - Boardman, I. S. AU - James, N. M. AU - Hasselmo, M. E. PY - 2012 DA - 2012// TI - Voltage dependence of subthreshold resonance frequency in layer II of medial entorhinal cortex JO - Hippocampus VL - 22 UR - https://doi.org/10.1002/hipo.22008 DO - 10.1002/hipo.22008 ID - Shay2012 ER - TY - JOUR AU - Giocomo, L. M. AU - Hasselmo, M. E. PY - 2008 DA - 2008// TI - Time constants of h current in layer II stellate cells differ along the dorsal to ventral axis of medial entorhinal cortex JO - J Neurosci VL - 28 UR - https://doi.org/10.1523/JNEUROSCI.3196-08.2008 DO - 10.1523/JNEUROSCI.3196-08.2008 ID - Giocomo2008 ER - TY - JOUR AU - Raudies, F. AU - Brandon, M. P. AU - Chapman, G. W. AU - Hasselmo, M. E. PY - 2015 DA - 2015// TI - Head direction is coded more strongly than movement direction in a population of entorhinal neurons JO - Brain Res VL - 1621 UR - https://doi.org/10.1016/j.brainres.2014.10.053 DO - 10.1016/j.brainres.2014.10.053 ID - Raudies2015 ER - TY - JOUR AU - Rinzel, J. AU - Terman, D. AU - Wang, X. -. J. AU - Ermentrout, B. PY - 1998 DA - 1998// TI - Propagating activity patterns in large-scale inhibitory neuronal networks JO - Science VL - 279 UR - https://doi.org/10.1126/science.279.5355.1351 DO - 10.1126/science.279.5355.1351 ID - Rinzel1998 ER - TY - JOUR AU - Coombes, S. PY - 2003 DA - 2003// TI - Dynamics of synaptically coupled integrate-and-fire-or-burst neurons JO - Phys Rev E VL - 67 UR - https://doi.org/10.1103/PhysRevE.67.041910 DO - 10.1103/PhysRevE.67.041910 ID - Coombes2003 ER - TY - JOUR AU - Wasylenko, T. M. AU - Cisternas, J. E. AU - Laing, C. R. AU - Kevrekidis, I. G. PY - 2010 DA - 2010// TI - Bifurcations of lurching waves in a thalamic neuronal network JO - Biol Cybern VL - 103 UR - https://doi.org/10.1007/s00422-010-0409-3 DO - 10.1007/s00422-010-0409-3 ID - Wasylenko2010 ER - TY - JOUR AU - Evans, J. PY - 1975 DA - 1975// TI - Nerve axon equations: IV the stable and unstable impulse JO - Indiana Univ Math J VL - 24 UR - https://doi.org/10.1512/iumj.1975.24.24096 DO - 10.1512/iumj.1975.24.24096 ID - Evans1975 ER - TY - JOUR AU - Coombes, S. AU - Owen, M. R. PY - 2004 DA - 2004// TI - Evans functions for integral neural field equations with Heaviside firing rate function JO - SIAM J Appl Dyn Syst VL - 34 UR - https://doi.org/10.1137/040605953 DO - 10.1137/040605953 ID - Coombes2004 ER - TY - JOUR AU - Aizerman, M. A. AU - Gantmakher, F. R. PY - 1958 DA - 1958// TI - On the stability of periodic motions JO - J Appl Math Mech VL - 22 UR - https://doi.org/10.1016/0021-8928(58)90033-9 DO - 10.1016/0021-8928(58)90033-9 ID - Aizerman1958 ER - TY - JOUR AU - Leine, R. I. AU - Campen, D. H. AU - Vrande, B. L. PY - 2000 DA - 2000// TI - Bifurcations in nonlinear discontinuous systems JO - Nonlinear Dyn VL - 23 UR - https://doi.org/10.1023/A:1008384928636 DO - 10.1023/A:1008384928636 ID - Leine2000 ER - TY - BOOK AU - Bernardo, M. AU - Budd, C. AU - Champneys, A. R. AU - Kowalczyk, P. PY - 2008 DA - 2008// TI - Piecewise-smooth dynamical systems: theory and applications PB - Springer CY - London ID - Bernardo2008 ER - TY - JOUR AU - Coombes, S. AU - Thul, R. AU - Wedgwood, K. C. A. PY - 2012 DA - 2012// TI - Nonsmooth dynamics in spiking neuron models JO - Physica D VL - 241 UR - https://doi.org/10.1016/j.physd.2011.05.012 DO - 10.1016/j.physd.2011.05.012 ID - Coombes2012 ER - TY - JOUR AU - Sreenivasan, S. AU - Fiete, I. PY - 2011 DA - 2011// TI - Grid cells generate an analog error-correcting code for singularly precise neural computation JO - Nat Neurosci VL - 14 UR - https://doi.org/10.1038/nn.2901 DO - 10.1038/nn.2901 ID - Sreenivasan2011 ER - TY - JOUR AU - Burgalossi, A. AU - Herfst, L. AU - Heimendahl, M. AU - Förste, H. AU - Haskic, K. AU - Schmidt, M. AU - Brecht, M. PY - 2011 DA - 2011// TI - Microcircuits of functionally identified neurons in the rat medial entorhinal cortex JO - Neuron VL - 70 UR - https://doi.org/10.1016/j.neuron.2011.04.003 DO - 10.1016/j.neuron.2011.04.003 ID - Burgalossi2011 ER -