Abbott LF, van Vreeswijk C. (1993). Asynchronous states in networks of pulse-coupled oscillators. *Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics*. 48 [PubMed]

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

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. *Cerebral cortex (New York, N.Y. : 1991)*. 7 [PubMed]

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

Bernander O, Douglas RJ, Martin KA, Koch C. (1991). Synaptic background activity influences spatiotemporal integration in single pyramidal cells. *Proceedings of the National Academy of Sciences of the United States of America*. 88 [PubMed]

Bragin A et al. (1995). Gamma (40-100 Hz) oscillation in the hippocampus of the behaving rat. *The Journal of neuroscience : the official journal of the Society for Neuroscience*. 15 [PubMed]

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

Buzsáki G, Horváth Z, Urioste R, Hetke J, Wise K. (1992). High-frequency network oscillation in the hippocampus. *Science (New York, N.Y.)*. 256 [PubMed]

Buzsáki G, Leung LW, Vanderwolf CH. (1983). Cellular bases of hippocampal EEG in the behaving rat. *Brain research*. 287 [PubMed]

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

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 [PubMed]

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

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

Gerstner W. (1995). Time structure of the activity in neural network models. *Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics*. 51 [PubMed]

Gerstner W, van Hemmen JL, Cowan JD. (1996). What matters in neuronal locking? *Neural computation*. 8 [PubMed]

Gray CM. (1994). Synchronous oscillations in neuronal systems: mechanisms and functions. *Journal of computational neuroscience*. 1 [PubMed]

Hansel D, Mato G, Meunier C. (1995). Synchrony in excitatory neural networks. *Neural computation*. 7 [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. *Proceedings of the National Academy of Sciences of the United States of America*. 92 [PubMed]

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

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

MacLeod K, Laurent G. (1996). Distinct mechanisms for synchronization and temporal patterning of odor-encoding neural assemblies. *Science (New York, N.Y.)*. 274 [PubMed]

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

Rinzel J, Golomb D. (1994). Clustering in globally coupled inhibitory neurons *Physica D*. 72

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

Sejnowski TJ, Tsodyks MV. (1995). Rapid state switching in balanced cortical network models *Network*. 6

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

Terman D, Wang DL. (1995). Global competition and local cooperation in a network of neural oscillators *Physica D*. 81

Traub RD, Miles R, Wong RK. (1989). Model of the origin of rhythmic population oscillations in the hippocampal slice. *Science (New York, N.Y.)*. 243 [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 [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. *The Journal of physiology*. 493 ( Pt 2) [PubMed]

Treves A. (1993). Mean field analysis of neuronal spike dynamics. *Network*. 4

Tsodyks M, Mitkov I, Sompolinsky H. (1993). Pattern of synchrony in inhomogeneous networks of oscillators with pulse interactions. *Physical review letters*. 71 [PubMed]

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

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

Van Vreeswijk C, Abbott LF, Ermentrout GB. (1994). When inhibition not excitation synchronizes neural firing. *Journal of computational neuroscience*. 1 [PubMed]

Vreeswijk Cv. (1996). Partial synchronization in populations of pulse-coupled oscillators. *Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics*. 54 [PubMed]

Wang XJ, Buzsáki G. (1996). Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model. *The Journal of neuroscience : the official journal of the Society for Neuroscience*. 16 [PubMed]

White JA, Chow CC, Ritt J, Soto-Treviño C, Kopell N. (1998). Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. *Journal of computational neuroscience*. 5 [PubMed]

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

van Vreeswijk C, Sompolinsky H. (1996). Chaos in neuronal networks with balanced excitatory and inhibitory activity. *Science (New York, N.Y.)*. 274 [PubMed]

van Vreeswijk C, Sompolinsky H. (1998). Chaotic balanced state in a model of cortical circuits. *Neural computation*. 10 [PubMed]

Aviel Y, Horn D, Abeles M. (2005). Memory capacity of balanced networks. *Neural computation*. 17 [PubMed]

Banerjee A. (2006). On the sensitive dependence on initial conditions of the dynamics of networks of spiking neurons. *Journal of computational neuroscience*. 20 [PubMed]

Brette R. (2006). Exact simulation of integrate-and-fire models with synaptic conductances. *Neural computation*. 18 [PubMed]

Brunel N, Hansel D. (2006). How noise affects the synchronization properties of recurrent networks of inhibitory neurons. *Neural computation*. 18 [PubMed]

Börgers C, Kopell N. (2005). Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. *Neural computation*. 17 [PubMed]

Cakan C, Obermayer K. (2020). *PLoS computational biology*. 16 [PubMed]

Câteau H, Reyes AD. (2006). Relation between single neuron and population spiking statistics and effects on network activity. *Physical review letters*. 96 [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. *Journal of computational neuroscience*. 27 [PubMed]

Destexhe A, Rudolph M, Paré D. (2003). The high-conductance state of neocortical neurons in vivo. *Nature reviews. Neuroscience*. 4 [PubMed]

Durstewitz D, Gabriel T. (2007). Dynamical basis of irregular spiking in NMDA-driven prefrontal cortex neurons. *Cerebral cortex (New York, N.Y. : 1991)*. 17 [PubMed]

Geisler C, Brunel N, Wang XJ. (2005). Contributions of intrinsic membrane dynamics to fast network oscillations with irregular neuronal discharges. *Journal of neurophysiology*. 94 [PubMed]

Giacopelli G, Tegolo D, Spera E, Migliore M. (2021). On the structural connectivity of large-scale models of brain networks at cellular level. *Scientific reports*. 11 [PubMed]

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

Hansel D, Mato G. (2003). Asynchronous states and the emergence of synchrony in large networks of interacting excitatory and inhibitory neurons. *Neural computation*. 15 [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 computational biology*. 12 [PubMed]

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. *Bio Systems*. 89 [PubMed]

Huang C, Zeldenrust F, Celikel T. (2022). Cortical Representation of Touch in Silico *Neuroinformatics*. 20 [PubMed]

- Realistic barrel cortical column - Matlab (Huang et al., 2022) [Model]
- Realistic barrel cortical column - NetPyNE (Huang et al., 2022) [Model]

Hutt A, Mierau A, Lefebvre J. (2016). Dynamic Control of Synchronous Activity in Networks of Spiking Neurons. *PloS one*. 11 [PubMed]

Jercog D et al. (2017). UP-DOWN cortical dynamics reflect state transitions in a bistable network. *eLife*. 6 [PubMed]

Joelving FC, Compte A, Constantinidis C. (2007). Temporal properties of posterior parietal neuron discharges during working memory and passive viewing. *Journal of neurophysiology*. 97 [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 computation*. 17 [PubMed]

Keane A, Henderson JA, Gong P. (2018). Dynamical patterns underlying response properties of cortical circuits. *Journal of the Royal Society, Interface*. 15 [PubMed]

Khalil R, Moftah MZ, Moustafa AA. (2017). The effects of dynamical synapses on firing rate activity: a spiking neural network model. *The European journal of neuroscience*. 46 [PubMed]

Kitano K, Fukai T. (2007). Variability v.s. synchronicity of neuronal activity in local cortical network models with different wiring topologies. *Journal of computational neuroscience*. 23 [PubMed]

Kumar A, Schrader S, Aertsen A, Rotter S. (2008). The high-conductance state of cortical networks. *Neural computation*. 20 [PubMed]

Lerchner A et al. (2006). Response variability in balanced cortical networks. *Neural computation*. 18 [PubMed]

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

Liu YH, Wang XJ. (2001). Spike-frequency adaptation of a generalized leaky integrate-and-fire model neuron. *Journal of computational neuroscience*. 10 [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 computation*. 19 [PubMed]

Maes A, Barahona M, Clopath C. (2020). Learning spatiotemporal signals using a recurrent spiking network that discretizes time. *PLoS computational biology*. 16 [PubMed]

Markram H et al. (2015). Reconstruction and Simulation of Neocortical Microcircuitry. *Cell*. 163 [PubMed]

Marre O, Yger P, Davison AP, Frégnac Y. (2009). Reliable recall of spontaneous activity patterns in cortical networks. *The Journal of neuroscience : the official journal of the Society for Neuroscience*. 29 [PubMed]

Masuda N. (2005). Simultaneous Rate-Synchrony Codes in Populations of Spiking Neurons *Neural Comput*. 18

Masuda N, Aihara K. (2004). Self-organizing dual coding based on spike-time-dependent plasticity. *Neural computation*. 16 [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 computation*. 17 [PubMed]

Meffin H, Burkitt AN, Grayden DB. (2004). An analytical model for the "large, fluctuating synaptic conductance state" typical of neocortical neurons in vivo. *Journal of computational neuroscience*. 16 [PubMed]

Miller P, Wang XJ. (2006). Stability of discrete memory states to stochastic fluctuations in neuronal systems. *Chaos (Woodbury, N.Y.)*. 16 [PubMed]

Mongillo G, Amit DJ. (2001). Oscillations and irregular emission in networks of linear spiking neurons. *Journal of computational neuroscience*. 11 [PubMed]

Morrison A, Aertsen A, Diesmann M. (2007). Spike-timing-dependent plasticity in balanced random networks. *Neural computation*. 19 [PubMed]

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

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

Muscinelli SP, Gerstner W, Schwalger T. (2019). How single neuron properties shape chaotic dynamics and signal transmission in random neural networks. *PLoS computational biology*. 15 [PubMed]

Naundorf B, Geisel T, Wolf F. (2005). Action potential onset dynamics and the response speed of neuronal populations. *Journal of computational neuroscience*. 18 [PubMed]

Pena RFO, Zaks MA, Roque AC. (2018). Dynamics of spontaneous activity in random networks with multiple neuron subtypes and synaptic noise : Spontaneous activity in networks with synaptic noise. *Journal of computational neuroscience*. 45 [PubMed]

Pernelle G, Nicola W, Clopath C. (2018). Gap junction plasticity as a mechanism to regulate network-wide oscillations. *PLoS computational biology*. 14 [PubMed]

Potjans TC, Diesmann M. (2014). The cell-type specific cortical microcircuit: relating structure and activity in a full-scale spiking network model. *Cerebral cortex (New York, N.Y. : 1991)*. 24 [PubMed]

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

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

Sadeh S, Clopath C, Rotter S. (2015). Emergence of Functional Specificity in Balanced Networks with Synaptic Plasticity. *PLoS computational biology*. 11 [PubMed]

Sadeh S, Clopath C, Rotter S. (2015). Processing of Feature Selectivity in Cortical Networks with Specific Connectivity. *PloS one*. 10 [PubMed]

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

Schmidt M, Bakker R, Hilgetag CC, Diesmann M, van Albada SJ. (2018). Multi-scale account of the network structure of macaque visual cortex. *Brain structure & function*. 223 [PubMed]

Schmidt M et al. (2018). A multi-scale layer-resolved spiking network model of resting-state dynamics in macaque visual cortical areas. *PLoS computational biology*. 14 [PubMed]

Shimoura RO et al. (2018). [Re] The cell-type specific cortical microcircuit: relating structure and activity in a full-scale spiking network model *The ReScience Journal*. 4(1)

Soula H, Beslon G, Mazet O. (2005). Spontaneous Dynamics of Asymmetric Random Recurrent Spiking Neural Networks *Neural Comput*. 18

Soula H, Chow CC. (2007). Stochastic dynamics of a finite-size spiking neural network. *Neural computation*. 19 [PubMed]

Spreizer S, Aertsen A, Kumar A. (2019). From space to time: Spatial inhomogeneities lead to the emergence of spatiotemporal sequences in spiking neuronal networks. *PLoS computational biology*. 15 [PubMed]

Stacey WC, Krieger A, Litt B. (2011). Network recruitment to coherent oscillations in a hippocampal computer model. *Journal of neurophysiology*. 105 [PubMed]

Susi G et al. (2021). FNS allows efficient event-driven spiking neural network simulations based on a neuron model supporting spike latency *Scientific reports*. 11 [PubMed]

Susin E, Destexhe A. (2021). Integration, coincidence detection and resonance in networks of spiking neurons expressing gamma oscillations and asynchronous states *PLoS computational biology*. 17 [PubMed]

Sussillo D, Toyoizumi T, Maass W. (2007). Self-tuning of neural circuits through short-term synaptic plasticity. *Journal of neurophysiology*. 97 [PubMed]

Sweeney Y, Hellgren Kotaleski J, Hennig MH. (2015). A Diffusive Homeostatic Signal Maintains Neural Heterogeneity and Responsiveness in Cortical Networks. *PLoS computational biology*. 11 [PubMed]

Tan AY, Andoni S, Priebe NJ. (2013). A spontaneous state of weakly correlated synaptic excitation and inhibition in visual cortex. *Neuroscience*. 247 [PubMed]

Teramae JN, Fukai T. (2007). Local cortical circuit model inferred from power-law distributed neuronal avalanches. *Journal of computational neuroscience*. 22 [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. *Journal of neurophysiology*. 112 [PubMed]

Tomov P, Pena RF, Zaks MA, Roque AC. (2014). Sustained oscillations, irregular firing, and chaotic dynamics in hierarchical modular networks with mixtures of electrophysiological cell types. *Frontiers in computational neuroscience*. 8 [PubMed]

Troyer TW. (2006). Factors affecting phase synchronization in integrate-and-fire oscillators. *Journal of computational neuroscience*. 20 [PubMed]

Truccolo W, Ho EC. (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*.

Van Rossum MC. (2001). The transient precision of integrate and fire neurons: effect of background activity and noise. *Journal of computational neuroscience*. 10 [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 (New York, N.Y.)*. 334 [PubMed]

Wang Y, Goodfellow M, Taylor PN, Baier G. (2014). Dynamic mechanisms of neocortical focal seizure onset. *PLoS computational biology*. 10 [PubMed]

Wong KF, Wang XJ. (2006). A recurrent network mechanism of time integration in perceptual decisions. *The Journal of neuroscience : the official journal of the Society for Neuroscience*. 26 [PubMed]

Wu Z, Guo A, Fu X. (2017). Generation of low-gamma oscillations in a GABAergic network model of the striatum. *Neural networks : the official journal of the International Neural Network Society*. 95 [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. *Journal of computational neuroscience*. 44 [PubMed]