Citation Relationships



Song P, Wang XJ (2005) Angular path integration by moving "hill of activity": a spiking neuron model without recurrent excitation of the head-direction system. J Neurosci 25:1002-14 [PubMed]

References and models cited by this paper

References and models that cite this paper

Allen GV, Hopkins DA (1988) Mamillary body in the rat: a cytoarchitectonic, Golgi, and ultrastructural study. J Comp Neurol 275:39-64 [Journal] [PubMed]

Allen GV, Hopkins DA (1989) Mamillary body in the rat: topography and synaptology of projections from the subicular complex, prefrontal cortex, and midbrain tegmentum. J Comp Neurol 286:311-36 [Journal] [PubMed]

Allen GV, Hopkins DA (1990) Topography and synaptology of mamillary body projections to the mesencephalon and pons in the rat. J Comp Neurol 301:214-31 [Journal] [PubMed]

Bassett JP, Taube JS (2001) Lesion of the dorsal tegmental nucleus of the ratdisrupt head direction cell activity in the anterior thalamus Soc Neurosci Abstr 27:852

Bassett JP, Taube JS (2001) Neural correlates for angular head velocity in the rat dorsal tegmental nucleus. J Neurosci 21:5740-51 [PubMed]

Blair HT, Cho J, Sharp PE (1998) Role of the lateral mammillary nucleus in the rat head direction circuit: a combined single unit recording and lesion study. Neuron 21:1387-97 [PubMed]

Blair HT, Cho J, Sharp PE (1999) The anterior thalamic head-direction signal is abolished by bilateral but not unilateral lesions of the lateral mammillary nucleus. J Neurosci 19:6673-83

Blair HT, Sharp PE (1995) Anticipatory head direction signals in anterior thalamus: evidence for a thalamocortical circuit that integrates angular head motion to compute head direction. J Neurosci 15:6260-70 [PubMed]

Blair HT, Sharp PE (2001) Functional organization of the rat head-direction circuit The neural basis of navigation, Sharp PE, ed.

Brunel N, Wang XJ (2001) Effects of neuromodulation in a cortical network model of object working memory dominated by recurrent inhibition. J Comput Neurosci 11:63-85 [PubMed]

Camperi M, Wang XJ (1998) A model of visuospatial working memory in prefrontal cortex: recurrent network and cellular bistability. J Comput Neurosci 5:383-405 [PubMed]

Cannon SC, Robinson DA, Shamma S (1983) A proposed neural network for the integrator of the oculomotor system. Biol Cybern 49:127-36 [PubMed]

Compte A, Brunel N, Goldman-Rakic PS, Wang XJ (2000) Synaptic mechanisms and network dynamics underlying spatial working memory in a cortical network model. Cereb Cortex 10:910-23 [PubMed]

Frigo M, Johnson SG (1998) FFTW: an adaptive software architecture forthe FFT Proceedings of the 1998 IEEE International Conference of Acoustics, Speech, and Signal Processing 3:1381-1384

Georgopoulos AP, Schwartz AB, Kettner RE (1986) Neuronal population coding of movement direction. Science 233:1416-9 [PubMed]

Goodridge JP, Dudchenko PA, Worboys KA, Golob EJ, Taube JS (1998) Cue control and head direction cells. Behav Neurosci 112:749-61 [PubMed]

Goodridge JP, Taube JS (1997) Interaction between the postsubiculum and anterior thalamus in the generation of head direction cell activity. J Neurosci 17:9315-30 [PubMed]

Goodridge JP, Touretzky DS (2000) Modeling attractor deformation in the rodent head-direction system. J Neurophysiol 83:3402-10 [Journal] [PubMed]

Hansel D, Mato G, Meunier C, Neltner L (1998) On numerical simulations of integrate-and-fire neural networks. Neural Comput 10:467-83 [PubMed]

Jahr CE, Stevens CF (1990) Voltage dependence of NMDA-activated macroscopic conductances predicted by single-channel kinetics. J Neurosci 10:3178-82 [PubMed]

Khalsa SB, Tomlinson RD, Schwarz DW, Landolt JP (1987) Vestibular nuclear neuron activity during active and passive head movement in the alert rhesus monkey. J Neurophysiol 57:1484-97 [Journal] [PubMed]

Lannou J, Cazin L, Precht W, Le Taillanter M (1984) Responses of prepositus hypoglossi neurons to optokinetic and vestibular stimulations in the rat. Brain Res 301:39-45 [PubMed]

Lecuyer P, Simard R, Chen EJ, Kelton WD (2002) An object-oriented random-number package with many long streams and substreams Oper Res 50:1073-1075

Liu R, Chang L, Wickern G (1984) The dorsal tegmental nucleus: an axoplasmic transport study. Brain Res 310:123-32 [PubMed]

Llinás RR, Alonso A (1992) Electrophysiology of the mammillary complex in vitro. I. Tuberomammillary and lateral mammillary neurons. J Neurophysiol 68:1307-20 [Journal] [PubMed]

McCrea RA, Gdowski GT, Boyle R, Belton T (1999) Firing behavior of vestibular neurons during active and passive head movements: vestibulo-spinal and other non-eye-movement related neurons. J Neurophysiol 82:416-28 [Journal] [PubMed]

McNaughton BL, Chen LL, Markus EJ (1991) "Dead reckoning," landmark learning, and the sense of direction: a neurophysiological and computational hypothesis. J Cogn Neurosci 3:190-202 [Journal] [PubMed]

Ramon y Cajal S (1911) Histologie du Systeme Nerveux de lHomme et des Vertebrates.

Ranck JB (1984) Head-direction cells in the deep layers of dorsal presubiculum of freely moving rats Soc Neurosci Abstr 10:599

Redish AD (1999) Beyond the cognitive map: from place cells to episodic memory :47-67

Redish AD, Elga AN, Touretzky DS (1996) A coupled attractor model of the rodent head direction system. Network 7:671-685

Renart A, Song P, Wang XJ (2003) Robust spatial working memory through homeostatic synaptic scaling in heterogeneous cortical networks. Neuron 38:473-85 [PubMed]

Robinson DA (1989) Integrating with neurons. Annu Rev Neurosci 12:33-45 [Journal] [PubMed]

Rubin J, Terman D, Chow C (2001) Localized bumps of activity sustained by inhibition in a two-layer thalamic network. J Comput Neurosci 10:313-31 [PubMed]

Seung HS, Lee DD, Reis BY, Tank DW (2000) Stability of the memory of eye position in a recurrent network of conductance-based model neurons. Neuron 26:259-71 [PubMed]

Sharp PE, Blair HT, Cho J (2001) The anatomical and computational basis of the rat head-direction cell signal. Trends Neurosci 24:289-94 [PubMed]

Sharp PE, Tinkelman A, Cho J (2001) Angular velocity and head direction signals recorded from the dorsal tegmental nucleus of gudden in the rat: implications for path integration in the head direction cell circuit. Behav Neurosci 115:571-88 [PubMed]

Shelley MJ, Tao L (2001) Efficient and accurate time-stepping schemes for integrate-and-fire neuronal networks. J Comput Neurosci 11:111-9 [PubMed]

Sherman SM (2001) Tonic and burst firing: dual modes of thalamocortical relay. Trends Neurosci 24:122-6 [PubMed]

Skaggs WE, Knierim JJ, Kudrimoti HS, McNaughton BL (1995) A model of the neural basis of the rat's sense of direction. Adv Neural Inf Process Syst 7:173-80 [PubMed]

Stackman RW, Clark AS, Taube JS (2002) Hippocampal spatial representations require vestibular input. Hippocampus 12:291-303 [Journal] [PubMed]

Stackman RW, Taube JS (1997) Firing properties of head direction cells in the rat anterior thalamic nucleus: dependence on vestibular input. J Neurosci 17:4349-58 [PubMed]

Stackman RW, Taube JS (1998) Firing properties of rat lateral mammillary single units: head direction, head pitch, and angular head velocity. J Neurosci 18:9020-37 [PubMed]

Steriade M, Llinás RR (1988) The functional states of the thalamus and the associated neuronal interplay. Physiol Rev 68:649-742 [Journal] [PubMed]

Stringer SM, Trappenberg TP, Rolls ET, de Araujo IE (2002) Self-organizing continuous attractor networks and path integration: one-dimensional models of head direction cells. Network 13:217-42 [PubMed]

Taube JS (1995) Head direction cells recorded in the anterior thalamic nuclei of freely moving rats. J Neurosci 15:70-86 [PubMed]

Taube JS, Bassett JP (2003) Persistent neural activity in head direction cells. Cereb Cortex 13:1162-72 [PubMed]

Taube JS, Muller RU, Ranck JB (1990) Head-direction cells recorded from the postsubiculum in freely moving rats. I. Description and quantitative analysis. J Neurosci 10:420-35 [PubMed]

Taube JS, Muller RU, Ranck JB (1990) Head-direction cells recorded from the postsubiculum in freely moving rats. II. Effects of environmental manipulations. J Neurosci 10:436-47 [PubMed]

Tuckwell HC (1988) Introduction To Theoretical Neurobiology: Vol 1, Linear Cable Theory And Dendritic Structure

Tullman ML, Taube JS (1998) Lesions of the lateral mammillary nuclei abolish head direction cell activity in the anterior dorsal thalamus Soc Neurosci Abstr 24:759

Turrigiano GG (1999) Homeostatic plasticity in neuronal networks: the more things change, the more they stay the same. Trends Neurosci 22:221-7 [PubMed]

Vogt BA, Miller MW (1983) Cortical connections between rat cingulate cortex and visual, motor, and postsubicular cortices. J Comp Neurol 216:192-210 [Journal] [PubMed]

Wang XJ (1999) Synaptic basis of cortical persistent activity: the importance of NMDA receptors to working memory. J Neurosci 19:9587-603 [PubMed]

Wang XJ (2001) Synaptic reverberation underlying mnemonic persistent activity. Trends Neurosci 24:455-63 [PubMed]

Wang XJ, Rinzel J, Rogawski MA (1991) A model of the T-type calcium current and the low-threshold spike in thalamic neurons. J Neurophysiol 66:839-50 [Journal] [PubMed]

   T-type Ca current in thalamic neurons (Wang et al 1991) [Model]

Zhang K (1996) Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: a theory. J Neurosci 16:2112-26 [PubMed]

Zugaro MB, Arleo A, Berthoz A, Wiener SI (2003) Rapid spatial reorientation and head direction cells. J Neurosci 23:3478-82 [PubMed]

Pilly PK, Grossberg S (2013) 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 PLOS One 8(4):e60599 [Journal] [PubMed]

   Spiking GridPlaceMap model (Pilly & Grossberg, PLoS One, 2013) [Model]

Toussaint M (2006) A sensorimotor map: modulating lateral interactions for anticipation and planning. Neural Comput 18:1132-55 [Journal] [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. J Neurosci 31:16157-76 [Journal] [PubMed]

   Synthesis of spatial tuning functions from theta cell spike trains (Welday et al., 2011) [Model]

(61 refs)