Citation Relationships

Miller JA, Kenyon GT (2007) Extracting number-selective responses from coherent oscillations in a computer model. Neural Comput 19:1766-97 [PubMed]

References and models cited by this paper

References and models that cite this paper

Alonso JM, Usrey WM, Reid RC (1996) Precisely correlated firing in cells of the lateral geniculate nucleus. Nature 383:815-9 [Journal] [PubMed]

Beierlein M, Connors BW (2002) Short-term dynamics of thalamocortical and intracortical synapses onto layer 6 neurons in neocortex. J Neurophysiol 88:1924-32 [Journal] [PubMed]

Brannon EM, Terrace HS (1998) Ordering of the numerosities 1 to 9 by monkeys. Science 282:746-9 [PubMed]

Brosch M, Budinger E, Scheich H (2002) Stimulus-related gamma oscillations in primate auditory cortex. J Neurophysiol 87:2715-25 [Journal] [PubMed]

Castelo-Branco M, Neuenschwander S, Singer W (1998) Synchronization of visual responses between the cortex, lateral geniculate nucleus, and retina in the anesthetized cat. J Neurosci 18:6395-410 [PubMed]

Cordes S, Gelman R, Gallistel CR, Whalen J (2001) Variability signatures distinguish verbal from nonverbal counting for both large and small numbers. Psychon Bull Rev 8:698-707 [PubMed]

Dacey DM, Brace S (2007) A coupled network for parasol but not midget ganglion cells in the primate retina. Vis Neurosci 9:279-90

Davis H, Perusse R (1988) Numerical competence in animals: Definitional issues, current evidence and a new research agenda Behav Brain Sci 11:561-615

Dehaene S (1997) The number sense

Dehaene S (2001) Precis of the number sense Mind Lang 16:16-36

Dehaene S, Changeux JP (1993) Development of elementary numerical abilities: a neuronal model. J Cogn Neurosci 5:390-407 [Journal] [PubMed]

Eeckman FH, Freeman WJ (1990) Correlations between unit firing and EEG in the rat olfactory system. Brain Res 528:238-44 [PubMed]

Feigenson L, Dehaene S, Spelke E (2004) Core systems of number. Trends Cogn Sci 8:307-14

Freed MA (2000) Rate of quantal excitation to a retinal ganglion cell evoked by sensory input. J Neurophysiol 83:2956-66 [Journal] [PubMed]

Frishman LJ, Freeman AW, Troy JB, Schweitzer-Tong DE, Enroth-Cugell C (1987) Spatiotemporal frequency responses of cat retinal ganglion cells. J Gen Physiol 89:599-628 [PubMed]

Gallistel CR, Gelman I (2000) Non-verbal numerical cognition: from reals to integers. Trends Cogn Sci 4:59-65 [PubMed]

Gray CM, K├Ânig P, Engel AK, Singer W (1989) Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature 338:334-7 [Journal] [PubMed]

Gray CM, Singer W (1989) Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. Proc Natl Acad Sci U S A 86:1698-702 [PubMed]

Hopfield JJ, Brody CD (2001) What is a moment? Transient synchrony as a collective mechanism for spatiotemporal integration. Proc Natl Acad Sci U S A 98:1282-7 [Journal] [PubMed]

   Hopfield and Brody model (Hopfield, Brody 2000) (NEURON+python) [Model]
   Hopfield and Brody model (Hopfield, Brody 2000) [Model]

Jacoby R, Stafford D, Kouyama N, Marshak D (1996) Synaptic inputs to ON parasol ganglion cells in the primate retina. J Neurosci 16:8041-56 [PubMed]

Jones MS, Barth DS (1997) Sensory-evoked high-frequency (gamma-band) oscillating potentials in somatosensory cortex of the unanesthetized rat. Brain Res 768:167-76 [PubMed]

Kenyon GT, Fetz EE, Puff RD (1990) Effects of firing synchrony on signal propagation in layered networks Advances in neural information processing systems, Touretzky DS, ed. pp.141

Kenyon GT, Harvey NR, Stephens GJ, Theiler J (2004) Dynamic segmentation of gray-scale images in a computer model of the mammalian retina Proc SPIE: Applications of Digital Image Processing XXVII, Tescher AG, ed. pp.1

Kenyon GT, Marshak DW (1998) Gap junctions with amacrine cells provide a feedback pathway for ganglion cells within the retina. Proc Biol Sci 265:919-25 [Journal] [PubMed]

Kenyon GT, Moore B, Jeffs J, Denning KS, Stephens GJ, Travis BJ, George JS, Theiler J, Marsha (2007) A model of high-frequency oscillatory potentials in retinal ganglion cells. Vis Neurosci 20:465-80

Kenyon GT, Theiler J, George JS, Travis BJ, Marshak DW (2004) Correlated firing improves stimulus discrimination in a retinal model. Neural Comput 16:2261-91 [Journal] [PubMed]

Kenyon GT, Travis BJ, Theiler J, George JS, Stephens GJ, Marshak DW (2004) Stimulus-specific oscillations in a retinal model. IEEE Trans Neural Netw 15:1083-91

Kreiter AK, Singer W (1996) Stimulus-dependent synchronization of neuronal responses in the visual cortex of the awake macaque monkey. J Neurosci 16:2381-96 [PubMed]

MECHNER F, GUEVREKIAN L (1962) Effects of deprivation upon counting and timing in rats. J Exp Anal Behav 5:463-6 [Journal] [PubMed]

Meck WH, Church RM (1983) A mode control model of counting and timing processes. J Exp Psychol Anim Behav Process 9:320-34 [PubMed]

Miller JA, Denning KS, George JS, Marshak DW, Kenyon GT (2006) A high frequency resonance in the responses of retinal ganglion cells to rapidly modulated stimuli: a computer model. Vis Neurosci 23:779-94 [Journal] [PubMed]

Murthy VN, Fetz EE (1996) Oscillatory activity in sensorimotor cortex of awake monkeys: synchronization of local field potentials and relation to behavior. J Neurophysiol 76:3949-67 [Journal] [PubMed]

Murthy VN, Fetz EE (1996) Synchronization of neurons during local field potential oscillations in sensorimotor cortex of awake monkeys. J Neurophysiol 76:3968-82 [Journal] [PubMed]

Neuenschwander S, Castelo-Branco M, Singer W (1999) Synchronous oscillations in the cat retina. Vision Res 39:2485-97 [PubMed]

Neuenschwander S, Singer W (1996) Long-range synchronization of oscillatory light responses in the cat retina and lateral geniculate nucleus. Nature 379:728-32 [Journal] [PubMed]

Nieder A (2005) Counting on neurons: the neurobiology of numerical competence. Nat Rev Neurosci 6:177-90 [Journal] [PubMed]

Nieder A, Freedman DJ, Miller EK (2002) Representation of the quantity of visual items in the primate prefrontal cortex. Science 297:1708-11 [Journal] [PubMed]

Nieder A, Miller EK (2003) Coding of cognitive magnitude: compressed scaling of numerical information in the primate prefrontal cortex. Neuron 37:149-57 [PubMed]

Nieder A, Miller EK (2004) Analog numerical representations in rhesus monkeys: evidence for parallel processing. J Cogn Neurosci 16:889-901 [Journal] [PubMed]

Nieder A, Miller EK (2004) A parieto-frontal network for visual numerical information in the monkey. Proc Natl Acad Sci U S A 101:7457-62 [Journal] [PubMed]

O'Brien BJ, Isayama T, Richardson R, Berson DM (2002) Intrinsic physiological properties of cat retinal ganglion cells. J Physiol 538:787-802 [PubMed]

Passaglia CL, Enroth-Cugell C, Troy JB (2001) Effects of remote stimulation on the mean firing rate of cat retinal ganglion cells. J Neurosci 21:5794-803 [PubMed]

Pica P, Lemer C, Izard V, Dehaene S (2004) Exact and approximate arithmetic in an Amazonian indigene group. Science 306:499-503 [Journal] [PubMed]

Polsky A, Mel BW, Schiller J (2004) Computational subunits in thin dendrites of pyramidal cells. Nat Neurosci 7:621-7 [Journal] [PubMed]

   CA1 pyramidal neuron: as a 2-layer NN and subthreshold synaptic summation (Poirazi et al 2003) [Model]

Rager G, Singer W (1998) The response of cat visual cortex to flicker stimuli of variable frequency. Eur J Neurosci 10:1856-77 [PubMed]

Sejnowski TJ, Paulsen O (2006) Network oscillations: emerging computational principles. J Neurosci 26:1673-6 [Journal] [PubMed]

Shadlen MN, Movshon JA (1999) Synchrony unbound: a critical evaluation of the temporal binding hypothesis. Neuron 24:67-77, 111-25 [PubMed]

Singer W, Gray CM (1995) Visual feature integration and the temporal correlation hypothesis. Annu Rev Neurosci 18:555-86 [Journal] [PubMed]

Usrey WM, Alonso JM, Reid RC (2000) Synaptic interactions between thalamic inputs to simple cells in cat visual cortex. J Neurosci 20:5461-7 [PubMed]

Vaney DI (1994) Patterns of neuronal coupling in the retina Prog Retinal Eye Res 13:301-355

Verguts T, Fias W (2004) Representation of number in animals and humans: a neural model. J Cogn Neurosci 16:1493-504 [Journal] [PubMed]

Vigh J, Solessio E, Morgans CW, Lasater EM (2003) Ionic mechanisms mediating oscillatory membrane potentials in wide-field retinal amacrine cells. J Neurophysiol 90:431-43 [Journal] [PubMed]

Whalen J, Gallistel CR, Gelman R (1999) Nonverbal counting in humans: The psychophysics of number representation Psychol Sci 10:130-137

(53 refs)