Citation Relationships



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)

References and models cited by this paper

References and models that cite this paper

Abbott LF, van Vreeswijk C (1993) Asynchronous states in networks of pulse-coupled oscillators. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 48:1483-1490 [PubMed]

Abramowitz M, Stegun IA (1970) Handbook Of Mathematical Functions

Amit DJ, Brunel N (1997) Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex. Cereb Cortex 7:237-52 [PubMed]

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

Amit DJ, Evans MR, Abeles M (1990) Attractor neural networks with biological probe records. Network 1:381-405

Amit DJ, Tsodyks MV (1991) Quantitative study of attractor neural network retrieving at low spike rates I Substrate-spikes, rates, and neuronal gain. Network 2:259-274

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]

Bragin A, Jandó G, Nádasdy Z, Hetke J, Wise K, Buzsáki G (1995) Gamma (40-100 Hz) oscillation in the hippocampus of the behaving rat. J Neurosci 15:47-60 [PubMed]

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]

Buzsáki G, Horváth Z, Urioste R, Hetke J, Wise K (1992) High-frequency network oscillation in the hippocampus. Science 256:1025-7 [PubMed]

Buzsáki G, Leung LW, Vanderwolf CH (1983) Cellular bases of hippocampal EEG in the behaving rat. Brain Res 287:139-71 [PubMed]

Chow CC (1998) Phase-locking in weakly heterogeneous neuronal networks. Physica D 118:343-370

Csicsvari J, Hirase H, Czurko A, Buzsáki G (1998) Reliability and state dependence of pyramidal cell-interneuron synapses in the hippocampus: an ensemble approach in the behaving rat. Neuron 21:179-89 [PubMed]

Draguhn A, Traub RD, Schmitz D, Jefferys JG (1998) Electrical coupling underlies high-frequency oscillations in the hippocampus in vitro. Nature 394:189-92 [Journal] [PubMed]

Fisahn A, Pike FG, Buhl EH, Paulsen O (1998) Cholinergic induction of network oscillations at 40 Hz in the hippocampus in vitro. Nature 394:186-9 [Journal] [PubMed]

Fusi S, Mattia M (1999) Collective behavior of networks with linear (VLSI) integrate-and-fire neurons. Neural Comput 11:633-52 [PubMed]

Gerstner W (1995) Time structure of the activity in neural network models. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 51:738-758 [PubMed]

Gerstner W, van Hemmen JL, Cowan JD (1996) What matters in neuronal locking? Neural Comput 8:1653-76 [PubMed]

Golomb D, Rinzel J (1994) Clustering in globally coupled inhibitory neurons Physica D 72:259-282

Gray CM (1994) Synchronous oscillations in neuronal systems: mechanisms and functions. J Comput Neurosci 1:11-38 [PubMed]

Hansel D, Mato G, Meunier C (1995) Synchrony in excitatory neural networks. Neural Comput 7:307-37 [PubMed]

Hirsch MW, Smale S (1974) Differential Equations, Dynamical Systems and Linear Algebra

Hopfield JJ, Herz AV (1995) Rapid local synchronization of action potentials: toward computation with coupled integrate-and-fire neurons. Proc Natl Acad Sci U S A 92:6655-62 [PubMed]

MacLeod K, Laurent G (1996) Distinct mechanisms for synchronization and temporal patterning of odor-encoding neural assemblies. Science 274:976-9 [PubMed]

Mirollo RE, Strogatz SH (1990) Synchronization of pulse-coupled biological oscillators. Siam J Appl Math 6:1645-1657

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

Risken H (1984) The Fokker Planck Equation: Methods of Solution and Applications

Terman D, Kopell N, Bose A (1998) Dynamics of two mutually coupled slow inhibitory neurons. Physica D 117:241-275

Terman D, Wang DL (1995) Global competition and local cooperation in a network of neural oscillators Physica D 81:148-176

Traub RD, Miles R, Wong RK (1989) Model of the origin of rhythmic population oscillations in the hippocampal slice. Science 243:1319-25 [PubMed]

Traub RD, Schmitz D, Jefferys JG, Draguhn A (1999) High-frequency population oscillations are predicted to occur in hippocampal pyramidal neuronal networks interconnected by axoaxonal gap junctions. Neuroscience 92:407-26 [PubMed]

Traub RD, Whittington MA, Colling SB, Buzsáki G, Jefferys JG (1996) Analysis of gamma rhythms in the rat hippocampus in vitro and in vivo. J Physiol 493 ( Pt 2):471-84 [PubMed]

Treves A (1993) Mean field analysis of neuronal spike dynamics. Network 4:259-284

Tsodyks M, Mitkov I, Sompolinsky H (1993) Pattern of synchrony in inhomogeneous networks of oscillators with pulse interactions. Phys Rev Lett 71:1280-1283 [Journal] [PubMed]

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

Tuckwell HC (1988) Introduction to Theoretical Neurobiology. Volume 2: Nonlinear and Stochastic Theories

Usher M, Stemmler M, Koch C, Olami Z (1994) Network amplification of local fluctuations causes high spike rate variability, fractal firing patterns and oscillatory local field potentials. Neural Comp 6:795-836

Van Vreeswijk C, Abbott LF, Ermentrout GB (1994) When inhibition not excitation synchronizes neural firing. J Comput Neurosci 1:313-21 [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]

Vreeswijk Cv (1996) Partial synchronization in populations of pulse-coupled oscillators. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 54:5522-5537 [PubMed]

Wang XJ, Buzsáki G (1996) Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model. J Neurosci 16:6402-13 [Journal] [PubMed]

   Gamma oscillations in hippocampal interneuron networks (Wang, Buzsaki 1996) [Model]

White JA, Chow CC, Ritt J, Soto-Treviño C, Kopell N (1998) Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. J Comput Neurosci 5:5-16 [PubMed]

Whittington MA, Traub RD, Jefferys JG (1995) Synchronized oscillations in interneuron networks driven by metabotropic glutamate receptor activation. Nature 373:612-5 [Journal] [PubMed]

Aviel Y, Horn D, Abeles M (2005) Memory capacity of balanced networks. Neural Comput 17:691-713 [Journal] [PubMed]

Banerjee A (2006) On the sensitive dependence on initial conditions of the dynamics of networks of spiking neurons. J Comput Neurosci 20:321-48 [Journal] [PubMed]

Börgers C, Kopell N (2005) Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Neural Comput 17:557-608 [Journal] [PubMed]

Brette R (2006) Exact simulation of integrate-and-fire models with synaptic conductances. Neural Comput 18:2004-27 [Journal] [PubMed]

Brunel N, Hansel D (2006) How noise affects the synchronization properties of recurrent networks of inhibitory neurons. Neural Comput 18:1066-110 [Journal] [PubMed]

Câteau H, Reyes AD (2006) Relation between single neuron and population spiking statistics and effects on network activity. Phys Rev Lett 96:058101 [Journal] [PubMed]

Destexhe A (2009) Self-sustained asynchronous irregular states and Up-Down states in thalamic, cortical and thalamocortical networks of nonlinear integrate-and-fire neurons. J Comput Neurosci 27:493-506 [Journal] [PubMed]

   Asynchronous irregular and up/down states in excitatory and inhibitory NNs (Destexhe 2009) [Model]

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

Droste F, Lindner B (2017) Exact analytical results for integrate-and-fire neurons driven by excitatory shot noise J. Comp. Neurosci. [Journal]

   Theory and simulation of integrate-and-fire neurons driven by shot noise (Droste & Lindner 2017) [Model]

Durstewitz D, Gabriel T (2007) Dynamical basis of irregular spiking in NMDA-driven prefrontal cortex neurons. Cereb Cortex 17:894-908 [Journal] [PubMed]

   Irregular spiking in NMDA-driven prefrontal cortex neurons (Durstewitz and Gabriel 2006) [Model]

Geisler C, Brunel N, Wang XJ (2005) Contributions of intrinsic membrane dynamics to fast network oscillations with irregular neuronal discharges. J Neurophysiol 94:4344-61 [Journal] [PubMed]

Hamaguchi K, Okada M, Aihara K (2007) Variable timescales of repeated spike patterns in synfire chain with Mexican-hat connectivity. Neural Comput 19:2468-91 [Journal] [PubMed]

Hansel D, Mato G (2003) Asynchronous states and the emergence of synchrony in large networks of interacting excitatory and inhibitory neurons. Neural Comput 15:1-56 [Journal] [PubMed]

Hass J, Hertäg L, Durstewitz D (2016) A Detailed Data-Driven Network Model of Prefrontal Cortex Reproduces Key Features of In Vivo Activity. PLoS Comput Biol 12:e1004930 [Journal] [PubMed]

   A detailed data-driven network model of prefrontal cortex (Hass et al 2016) [Model]

Ho ECY, Truccolo W (2016) Interaction between Synaptic Inhibition and Glial-Potassium Dynamics leads to Diverse Seizure Transition Modes in Biophysical Models of Human Focal Seizures J Comput Neurosci [Journal]

   Inhibition and glial-K+ interaction leads to diverse seizure transition modes (Ho & Truccolo 2016) [Model]

Horcholle-Bossavit G, Quenet B, Foucart O (2007) Oscillation and coding in a formal neural network considered as a guide for plausible simulations of the insect olfactory system. Biosystems 89:244-56 [Journal] [PubMed]

   Oscillation and coding in a proposed NN model of insect olfaction (Horcholle-Bossavit et al. 2007) [Model]

Hutt A, Mierau A, Lefebvre J (2016) Dynamic Control of Synchronous Activity in Networks of Spiking Neurons. PLoS One 11:e0161488 [Journal] [PubMed]

   Stochastic and periodic inputs tune ongoing oscillations (Hutt 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]

Joelving FC, Compte A, Constantinidis C (2007) Temporal properties of posterior parietal neuron discharges during working memory and passive viewing. J Neurophysiol 97:2254-66 [Journal] [PubMed]

Kanamaru T, Sekine M (2005) Synchronized firings in the networks of class 1 excitable neurons with excitatory and inhibitory connections and their dependences on the forms of interactions. Neural Comput 17:1315-38 [Journal] [PubMed]

Khalil R, Moftah MZ, Moustafa AA (2017) The effects of dynamical synapses on firing rate activity: a spiking neural network model. Eur J Neurosci 46:2445-2470 [Journal] [PubMed]

Kitano K, Fukai T (2007) Variability v.s. synchronicity of neuronal activity in local cortical network models with different wiring topologies. J Comput Neurosci 23:237-50 [Journal] [PubMed]

Kumar A, Schrader S, Aertsen A, Rotter S (2008) The high-conductance state of cortical networks. Neural Comput 20:1-43 [Journal] [PubMed]

Lerchner A, Ursta C, Hertz J, Ahmadi M, Ruffiot P, Enemark S (2006) Response variability in balanced cortical networks. Neural Comput 18:634-59 [Journal] [PubMed]

Liu YH, Wang XJ (2001) Spike-frequency adaptation of a generalized leaky integrate-and-fire model neuron. J Comput Neurosci 10:25-45 [PubMed]

Ly C, Tranchina D (2007) Critical analysis of dimension reduction by a moment closure method in a population density approach to neural network modeling. Neural Comput 19:2032-92 [Journal] [PubMed]

Markram H, Muller E, Ramaswamy S, Reimann MW, Abdellah M, Sanchez CA, Ailamaki A, Alonso-Nanclares L, Antille N, Arsever S, Kahou GA, Berger TK, Bilgili A, Buncic N, Chalimourda A, Chindemi G, Courcol JD, Delalondre F, Delattre V, Druckmann S, Dumusc R, Dynes J, Eilemann S, Gal E, Gevaert ME, Ghobril JP, Gidon A, Graham JW, Gupta A, Haenel V, Hay E, Heinis T, Hernando JB, Hines M, Kanari L, Keller D, Kenyon J, Khazen G, Kim Y, King JG, Kisvarday Z, Kumbhar P, Lasserre S, Le Bé JV, Magalhães BR, Merchán-Pérez A, Meystre J, Morrice BR, Muller J, Muñoz-Céspedes A, Muralidhar S, Muthurasa K, Nachbaur D, Newton TH, Nolte M, Ovcharenko A, Palacios J, Pastor L, Perin R, Ranjan R, Riachi I, Rodríguez JR, Riquelme JL, Rössert C, Sfyrakis K, Shi Y, Shillcock JC, Silberberg G, Silva R, Tauheed F, Telefont M, Toledo-Rodriguez M, Tränkler T, Van Geit W, Díaz JV, Walker R, Wang Y, Zaninetta SM (2015) Reconstruction and Simulation of Neocortical Microcircuitry. Cell 163:456-92 [Journal] [PubMed]

   The neocortical microcircuit collaboration portal (Markram et al. 2015) [Model]

Marre O, Yger P, Davison AP, Frégnac Y (2009) Reliable recall of spontaneous activity patterns in cortical networks. J Neurosci 29:14596-606 [Journal] [PubMed]

Masuda N (2005) Simultaneous Rate-Synchrony Codes in Populations of Spiking Neurons Neural Comput 18:45-59

Masuda N, Aihara K (2004) Self-organizing dual coding based on spike-time-dependent plasticity. Neural Comput 16:627-63 [Journal] [PubMed]

Masuda N, Doiron B, Longtin A, Aihara K (2005) Coding of temporally varying signals in networks of spiking neurons with global delayed feedback. Neural Comput 17:2139-75 [Journal] [PubMed]

Meffin H, Burkitt AN, Grayden DB (2004) An analytical model for the "large, fluctuating synaptic conductance state" typical of neocortical neurons in vivo. J Comput Neurosci 16:159-75 [Journal] [PubMed]

Miller P, Wang XJ (2006) Stability of discrete memory states to stochastic fluctuations in neuronal systems. Chaos 16:026109 [Journal] [PubMed]

Mongillo G, Amit DJ (2001) Oscillations and irregular emission in networks of linear spiking neurons. J Comput Neurosci 11:249-61 [PubMed]

Morrison A, Aertsen A, Diesmann M (2007) Spike-timing-dependent plasticity in balanced random networks. Neural Comput 19:1437-67 [Journal] [PubMed]

Morrison A, Straube S, Plesser HE, Diesmann M (2007) Exact subthreshold integration with continuous spike times in discrete-time neural network simulations. Neural Comput 19:47-79 [Journal] [PubMed]

Muller E, Buesing L, Schemmel J, Meier K (2007) Spike-frequency adapting neural ensembles: beyond mean adaptation and renewal theories. Neural Comput 19:2958-3010 [Journal] [PubMed]

Naundorf B, Geisel T, Wolf F (2005) Action potential onset dynamics and the response speed of neuronal populations. J Comput Neurosci 18:297-309 [Journal] [PubMed]

Potjans TC, Diesmann M (2014) The cell-type specific cortical microcircuit: relating structure and activity in a full-scale spiking network model. Cereb Cortex 24:785-806 [Journal] [PubMed]

   A full-scale cortical microcircuit spiking network model (Shimoura et al 2018) [Model]

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 [Journal] [PubMed]

Rudolph M, Destexhe A (2006) Analytical integrate-and-fire neuron models with conductance-based dynamics for event-driven simulation strategies. Neural Comput 18:2146-210 [Journal] [PubMed]

Sadeh S, Clopath C, Rotter S (2015) Emergence of Functional Specificity in Balanced Networks with Synaptic Plasticity. PLoS Comput Biol 11:e1004307 [Journal] [PubMed]

   Functional balanced networks with synaptic plasticity (Sadeh et al, 2015) [Model]

Sadeh S, Clopath C, Rotter S (2015) Processing of Feature Selectivity in Cortical Networks with Specific Connectivity. PLoS One 10:e0127547 [Journal] [PubMed]

   A spiking NN for amplification of feature-selectivity with specific connectivity (Sadeh et al 2015) [Model]

Sadeh S, Rotter S (2015) Orientation selectivity in inhibition-dominated networks of spiking neurons: effect of single neuron properties and network dynamics. PLoS Comput Biol 11:e1004045 [Journal] [PubMed]

   Orientation selectivity in inhibition-dominated recurrent networks (Sadeh and Rotter, 2015) [Model]

Shimoura RO, Kamiji NL, Pena RFO, Cordeiro VL, Ceballos CC, Cecilia R, Roque AC (2018) [Re] The cell-type specific cortical microcircuit: relating structure and activity in a full-scale spiking network model The ReScience Journal [Journal]

   A full-scale cortical microcircuit spiking network model (Shimoura et al 2018) [Model]

Soula H, Beslon G, Mazet O (2005) Spontaneous Dynamics of Asymmetric Random Recurrent Spiking Neural Networks Neural Comput 18:60-79

Soula H, Chow CC (2007) Stochastic dynamics of a finite-size spiking neural network. Neural Comput 19:3262-92 [Journal] [PubMed]

Stacey WC, Krieger A, Litt B (2011) Network recruitment to coherent oscillations in a hippocampal computer model. J Neurophysiol 105:1464-81 [Journal] [PubMed]

   Network recruitment to coherent oscillations in a hippocampal model (Stacey et al. 2011) [Model]

Sussillo D, Toyoizumi T, Maass W (2007) Self-tuning of neural circuits through short-term synaptic plasticity. J Neurophysiol 97:4079-95 [Journal] [PubMed]

Teramae JN, Fukai T (2007) Local cortical circuit model inferred from power-law distributed neuronal avalanches. J Comput Neurosci 22:301-12 [Journal] [PubMed]

Tomm C, Avermann M, Petersen C, Gerstner W, Vogels TP (2014) Connection-type-specific biases make uniform random network models consistent with cortical recordings. J Neurophysiol 112:1801-14 [Journal] [PubMed]

Troyer TW (2006) Factors affecting phase synchronization in integrate-and-fire oscillators. J Comput Neurosci 20:191-200 [Journal] [PubMed]

Van Rossum MC (2001) The transient precision of integrate and fire neurons: effect of background activity and noise. J Comput Neurosci 10:303-11 [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]

Wang Y, Goodfellow M, Taylor PN, Baier G (2014) Dynamic mechanisms of neocortical focal seizure onset. PLoS Comput Biol 10:e1003787 [Journal] [PubMed]

   A cortical sheet mesoscopic model for investigating focal seizure onset dynamics (Wang et al. 2014) [Model]

Wong KF, Wang XJ (2006) A recurrent network mechanism of time integration in perceptual decisions. J Neurosci 26:1314-28 [Journal] [PubMed]

Wu Z, Guo A, Fu X (2017) Generation of low-gamma oscillations in a GABAergic network model of the striatum. Neural Netw 95:72-90 [Journal] [PubMed]

Zerlaut Y, Chemla S, Chavane F, Destexhe A (2018) Modeling mesoscopic cortical dynamics using a mean-field model of conductance-based networks of adaptive exponential integrate-and-fire neurons. J Comput Neurosci 44:45-61 [Journal] [PubMed]

   Mesoscopic dynamics from AdEx recurrent networks (Zerlaut et al., JCNS 2017) [Model]

(102 refs)