Citation Relationships



Renart A, Moreno-Bote R, Wang XJ, Parga N (2007) Mean-driven and fluctuation-driven persistent activity in recurrent networks. Neural Comput 19:1-46 [PubMed]

References and models cited by this paper

References and models that cite this paper

Abbott LF, Varela JA, Sen K, Nelson SB (1997) Synaptic depression and cortical gain control. Science 275:220-4 [PubMed]

Abramowitz M, Stegun IA (1972) Stegun Handbook of Mathematical Functions

Amit DJ, Brunel N (1998) Dynamics of a recurrent network of spiking neurons before and following learning. Network 8:373-404

Amit DJ, Brunel N (2000) Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex. Cereb Cortex 7:237-52 [PubMed]

Amit DJ, Tsodyks MV (1991) Quantitative study of attractor neural networks retrieving at low spike rates. II: Low-rate retrieval in symmetric networks Network 2:275-294

Anderson JS, Carandini M, Ferster D (2000) Orientation tuning of input conductance, excitation, and inhibition in cat primary visual cortex. J Neurophysiol 84:909-26 [Journal] [PubMed]

Bair W, Zohary E, Newsome WT (2001) Correlated firing in macaque visual area MT: time scales and relationship to behavior. J Neurosci 21:1676-97 [PubMed]

Ben-Yishai R, Bar-Or RL, Sompolinsky H (1995) Theory of orientation tuning in visual cortex. Proc Natl Acad Sci U S A 92:3844-8 [PubMed]

Bernander O, Douglas RJ, Martin KA, Koch C (1991) Synaptic background activity influences spatiotemporal integration in single pyramidal cells. Proc Natl Acad Sci U S A 88:11569-73 [PubMed]

Brunel N (2000) Persistent activity and the single-cell frequency-current curve in a cortical network model. Network 11:261-80 [PubMed]

Brunel N (2000) Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. J Comput Neurosci 8:183-208 [PubMed]

   Sparsely connected networks of spiking neurons (Brunel 2000) [Model]

Brunel N, Hakim V (1999) Fast global oscillations in networks of integrate-and-fire neurons with low firing rates. Neural Comput 11:1621-71 [PubMed]

   Fast global oscillations in networks of I&F neurons with low firing rates (Brunel and Hakim 1999) [Model]

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]

Brunel N, Wang XJ (2003) What determines the frequency of fast network oscillations with irregular neural discharges? I. Synaptic dynamics and excitation-inhibition balance. J Neurophysiol 90:415-30 [Journal] [PubMed]

Cai D, Tao L, Shelley M, McLaughlin DW (2004) An effective kinetic representation of fluctuation-driven neuronal networks with application to simple and complex cells in visual cortex. Proc Natl Acad Sci U S A 101:7757-62 [Journal] [PubMed]

Carandini M (2004) Amplification of trial-to-trial response variability by neurons in visual cortex. PLoS Biol 2:E264 [Journal] [PubMed]

Chafee MV, Goldman-Rakic PS (1998) Matching patterns of activity in primate prefrontal area 8a and parietal area 7ip neurons during a spatial working memory task. J Neurophysiol 79:2919-40 [Journal] [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]

Compte A, Constantinidis C, Tegner J, Raghavachari S, Chafee MV, Goldman-Rakic PS, Wang XJ (2003) Temporally irregular mnemonic persistent activity in prefrontal neurons of monkeys during a delayed response task. J Neurophysiol 90:3441-54 [Journal] [PubMed]

Cox DR (1962) Renewal Theory.

Daley D, Vere-Jones D (1988) An Introduction to the Theory of Point Processes

Desai NS, Rutherford LC, Turrigiano GG (1999) Plasticity in the intrinsic excitability of cortical pyramidal neurons. Nat Neurosci 2:515-20 [Journal] [PubMed]

Destexhe A, Rudolph M, Paré D (2003) The high-conductance state of neocortical neurons in vivo. Nat Rev Neurosci 4:739-51 [Journal] [PubMed]

Douglas RJ, Martin KA (2004) Neuronal circuits of the neocortex. Annu Rev Neurosci 27:419-51 [Journal] [PubMed]

Funahashi S, Bruce CJ, Goldman-Rakic PS (1989) Mnemonic coding of visual space in the monkey's dorsolateral prefrontal cortex. J Neurophysiol 61:331-49 [Journal] [PubMed]

Fuster JM, Alexander GE (1971) Neuron activity related to short-term memory. Science 173:652-4 [PubMed]

GERSTEIN GL, MANDELBROT B (1964) RANDOM WALK MODELS FOR THE SPIKE ACTIVITY OF A SINGLE NEURON. Biophys J 4:41-68 [PubMed]

Gillespie DT (1992) Markov processes

Gnadt JW, Andersen RA (1988) Memory related motor planning activity in posterior parietal cortex of macaque. Exp Brain Res 70:216-20 [PubMed]

Hansel D, Mato G (2001) Existence and stability of persistent states in large neuronal networks. Phys Rev Lett 86:4175-8 [Journal] [PubMed]

Harsch A, Robinson HP (2000) Postsynaptic variability of firing in rat cortical neurons: the roles of input synchronization and synaptic NMDA receptor conductance. J Neurosci 20:6181-92 [PubMed]

Hebb DO (1949) The Organization Of Behavior

Hopfield JJ (1982) Neural networks and physical systems with emergent collective computational abilities. Proc Natl Acad Sci U S A 79:2554-8 [PubMed]

Larkum ME, Senn W, Lüscher HR (2004) Top-down dendritic input increases the gain of layer 5 pyramidal neurons. Cereb Cortex 14:1059-70 [Journal] [PubMed]

Mariño J, Schummers J, Lyon DC, Schwabe L, Beck O, Wiesing P, Obermayer K, Sur M (2005) Invariant computations in local cortical networks with balanced excitation and inhibition. Nat Neurosci 8:194-201 [Journal] [PubMed]

Mascaro M, Amit DJ (1999) Effective neural response function for collective population states. Network 10:351-73 [PubMed]

Mattia M, Del Giudice P (2000) Efficient event-driven simulation of large networks of spiking neurons and dynamical synapses. Neural Comput 12:2305-29 [PubMed]

Miller EK, Erickson CA, Desimone R (1996) Neural mechanisms of visual working memory in prefrontal cortex of the macaque. J Neurosci 16:5154-67 [PubMed]

Miyashita Y, Chang HS (1988) Neuronal correlate of pictorial short-term memory in the primate temporal cortex. Nature 331:68-70 [Journal] [PubMed]

Moreno R, de la Rocha J, Renart A, Parga N (2002) Response of spiking neurons to correlated inputs. Phys Rev Lett 89:288101 [Journal] [PubMed]

Moreno-Bote R, Parga N (2005) Membrane potential and response properties of populations of cortical neurons in the high conductance state. Phys Rev Lett 94:088103 [Journal] [PubMed]

Moreno-Bote R, Parga N (2006) Auto- and crosscorrelograms for the spike response of leaky integrate-and-fire neurons with slow synapses. Phys Rev Lett 96:028101 [Journal] [PubMed]

Rao SG, Williams GV, Goldman-Rakic PS (1999) Isodirectional tuning of adjacent interneurons and pyramidal cells during working memory: evidence for microcolumnar organization in PFC. J Neurophysiol 81:1903-16 [Journal] [PubMed]

Renart A (2000) Multimodular memory systems PhD Thesis

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

Ricciardi L (1977) Diffusion Processes and Related Topics in Biology.

Romo R, Brody CD, Hernández A, Lemus L (1999) Neuronal correlates of parametric working memory in the prefrontal cortex. Nature 399:470-3 [Journal] [PubMed]

Salinas E, Sejnowski TJ (2000) Impact of correlated synaptic input on output firing rate and variability in simple neuronal models. J Neurosci 20:6193-209 [PubMed]

Salinas E, Sejnowski TJ (2001) Correlated neuronal activity and the flow of neural information. Nat Rev Neurosci 2:539-50 [Journal] [PubMed]

Shadlen MN, Newsome WT (1994) Noise, neural codes and cortical organization. Curr Opin Neurobiol 4:569-79 [PubMed]

Shadlen MN, Newsome WT (1998) The variable discharge of cortical neurons: implications for connectivity, computation, and information coding. J Neurosci 18:3870-96 [Journal] [PubMed]

Shinomoto S, Sakai Y, Funahashi S (1999) The Ornstein-Uhlenbeck process does not reproduce spiking statistics of neurons in prefrontal cortex. Neural Comput 11:935-51 [PubMed]

Shu Y, Hasenstaub A, McCormick DA (2003) Turning on and off recurrent balanced cortical activity. Nature 423:288-93 [Journal] [PubMed]

Softky W (1994) Sub-millisecond coincidence detection in active dendritic trees. Neuroscience 58:13-41 [PubMed]

Softky WR, Koch C (1993) The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs. J Neurosci 13:334-50 [PubMed]

Stevens CF, Zador AM (1998) Input synchrony and the irregular firing of cortical neurons. Nat Neurosci 1:210-7 [Journal] [PubMed]

Tsodyks MV, Markram H (1997) The neural code between neocortical pyramidal neurons depends on neurotransmitter release probability. Proc Natl Acad Sci U S A 94:719-23 [PubMed]

Tsodyks MV, Sejnowski TJ (1995) Rapid state switching in balanced cortical network models Network 6:111-124

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

Turrigiano GG, Leslie KR, Desai NS, Rutherford LC, Nelson SB (1998) Activity-dependent scaling of quantal amplitude in neocortical neurons. Nature 391:892-6 [Journal] [PubMed]

van Vreeswijk C, Sompolinsky H (1996) Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science 274:1724-6 [PubMed]

van Vreeswijk C, Sompolinsky H (1998) Chaotic balanced state in a model of cortical circuits. Neural Comput 10:1321-71 [PubMed]

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

Zohary E, Shadlen MN, Newsome WT (1994) Correlated neuronal discharge rate and its implications for psychophysical performance. Nature 370:140-3 [Journal] [PubMed]

Angulo-Garcia D, Berke JD, Torcini A (2016) Cell Assembly Dynamics of Sparsely-Connected Inhibitory Networks: A Simple Model for the Collective Activity of Striatal Projection Neurons. PLoS Comput Biol 12:e1004778 [Journal] [PubMed]

Arsiero M, Lüscher HR, Lundstrom BN, Giugliano M (2007) The impact of input fluctuations on the frequency-current relationships of layer 5 pyramidal neurons in the rat medial prefrontal cortex. J Neurosci 27:3274-84 [Journal] [PubMed]

   Input Fluctuations effects on f-I curves (Arsiero et al. 2007) [Model]

Buchin A, Chizhov A, Huberfeld G, Miles R, Gutkin BS (2016) Reduced Efficacy of the KCC2 Cotransporter Promotes Epileptic Oscillations in a Subiculum Network Model. J Neurosci 36:11619-11633 [Journal] [PubMed]

   Subiculum network model with dynamic chloride/potassium homeostasis (Buchin et al 2016) [Model]

Jercog D, Roxin A, Barthó P, Luczak A, Compte A, de la Rocha J (2017) UP-DOWN cortical dynamics reflect state transitions in a bistable network. Elife [Journal] [PubMed]

   Models for cortical UP-DOWN states in a bistable inhibitory-stabilized network (Jercog et al 2017) [Model]

Lim S, Goldman MS (2014) Balanced cortical microcircuitry for spatial working memory based on corrective feedback control. J Neurosci 34:6790-806 [Journal] [PubMed]

Litwin-Kumar A, Doiron B (2012) Slow dynamics and high variability in balanced cortical networks with clustered connections. Nat Neurosci 15:1498-505 [Journal] [PubMed]

   Excitatory and inhibitory population activity (Bittner et al 2017) (Litwin-Kumar & Doiron 2017) [Model]

Moreno-Bote R, Rinzel J, Rubin N (2007) Noise-induced alternations in an attractor network model of perceptual bi-stability. J Neurophysiol [Journal] [PubMed]

Vogels TP, Sprekeler H, Zenke F, Clopath C, Gerstner W (2011) Inhibitory plasticity balances excitation and inhibition in sensory pathways and memory networks. Science 334:1569-73 [Journal] [PubMed]

   Inhibitory plasticity balances excitation and inhibition (Vogels et al. 2011) [Model]

(72 refs)