Wilson HR, Cowan JD. (1972). Excitatory and inhibitory interactions in localized populations of model neurons. Biophysical journal. 12 [PubMed]

See more from authors: Wilson HR · Cowan JD

References and models cited by this paper

ANDERSEN P, ECCLES J. (1962). Inhibitory phasing of neuronal discharge. Nature. 196 [PubMed]

Adrian ED. (1928). The Basis of Sensation.

Allanson JT. (1956). Information Theory (Third London Symposium).

Anninos PA, Beek B, Csermely TJ, Harth EM, Pertile G. (1970). Dynamics of neural structures. Journal of theoretical biology. 26 [PubMed]

Ashby WR, Von_foerster H, Walker CC. (1962). Instability of pulse activity in a net with threshold. Nature. 196

Beurle RL. (1956). Properties of a mass of cells capable of regenerating pulses. Philos Trans R Soc Lond B Biol Sci. 240

CRAGG BG, TEMPERLEY HN. (1955). Memory: the analogy with ferromagnetic hysteresis. Brain : a journal of neurology. 78 [PubMed]

Clark WA, Farley BG. (1961). Information Theory (Fourth London Symposium).

Colonnier ML. (1965). Brain and Conscious Experience.

Cowan J. (1972). Stochastic models of neuroelectric activity. Statistical Mechanics: New Concepts, New Problems, New Applications. Proc. 6th IUPAP Conf. Statistical Mechanics.

Cowan JD. (1970). Lectures on Mathematics in the Life Sciences. 2

Cowan JD, Winograd S. (1963). Reliable Computation in the Presence of Noise.

Cox DR. (1962). Renewal Theory..

Dewan EM. (1964). Nonlinear oscillations and electroencephalography. Journal of theoretical biology. 7 [PubMed]

Eccles JC. (1964). Presynaptic inhibition The Physiology of synapses.

FUORTES MG, MANTEGAZZINI F. (1962). Interpretation of the repetitive firing of nerve cells. The Journal of general physiology. 45 [PubMed]

Fender D, Julesz B. (1967). Extension of Panum's fusional area in binocularly stabilized vision. Journal of the Optical Society of America. 57 [PubMed]

Freeman WJ. (1967). Logistics Rev. 3

Freeman WJ. (1968). Analog simulation of prepyriform cortex in the cat A Math Biosci. 2

Freeman WJ. (1968). Relations between unit activity and evoked potentials in prepyriform cortex of cats. Journal of neurophysiology. 31 [PubMed]

Frishkopf LS, Rosenblith WA. (1958). Symposium on Information Theory in Biology.

GRIFFITH JS. (1963). On the stability of brain-like structures. Biophysical journal. 3 [PubMed]

HARTLINE HK, RATLIFF F. (1958). Spatial summation of inhibitory influences in the eye of Limulus, and the mutual interaction of receptor units. The Journal of general physiology. 41 [PubMed]

HUBEL DH, WIESEL TN. (1963). RECEPTIVE FIELDS OF CELLS IN STRIATE CORTEX OF VERY YOUNG, VISUALLY INEXPERIENCED KITTENS. Journal of neurophysiology. 26 [PubMed]

HUBEL DH, WIESEL TN. (1965). RECEPTIVE FIELDS AND FUNCTIONAL ARCHITECTURE IN TWO NONSTRIATE VISUAL AREAS (18 AND 19) OF THE CAT. Journal of neurophysiology. 28 [PubMed]

Harth EM, Csermely TJ, Beek B, Lindsay RD. (1970). Brain functions and neural dynamics. Journal of theoretical biology. 26 [PubMed]

Hebb DO. (1949). The Organization Of Behavior.

Kernell D. (1965). The adaptation and the relation between discharge frequency and current strength of cat lumbosacral motoneurones stimulated by long lasting injected currents. Acta Physiol Scand. 65

Kernell D. (1965). High-frequency repetitive firing of at lumbosacral motoneurones stimulated by long-lasting injected currents. Acta Physiologica Scandinavica. 65

Kirkwood JG. (1946). J Chem Phys. 14

Le_Grand Y. (1957). Light, Color, and Vision.

MOUNTCASTLE VB. (1957). Modality and topographic properties of single neurons of cat's somatic sensory cortex. Journal of neurophysiology. 20 [PubMed]

Mackay DM. (1970). Neurosciences Research Symposium Summaries. 4

Oshma T. (1969). Basic Mechanisms of the Epilepsies.

POGGIO GF, VIERNSTEIN LJ. (1964). TIME SERIES ANALYSIS OF IMPULSE SEQUENCES OF THALAMIC SOMATIC SENSORY NEURONS. Journal of neurophysiology. 27 [PubMed]

RALL W. (1955). A statistical theory of monosynaptic input-output relations. Journal of cellular and comparative physiology. 46 [PubMed]

RALL W. (1955). Experimental monosynaptic input-output relations in the mammalian spinal cord. Journal of cellular and comparative physiology. 46 [PubMed]

RALL W, HUNT CC. (1956). Analysis of reflex variability in terms of partially correlated excitability fluctuation in a population of motoneurons. The Journal of general physiology. 39 [PubMed]

Rall W. (1955). J Cell Comp Physiol. 46

Smith DR. (1962). J Soc Comput Mach. 9

Szentagothai J. (1967). Recent Development of Neurobiology in Hungary. 1

Ten_Hoopen M. (1965). Cybernetics of Neural Processes.

Verveen AA, Derksen HE. (1969). Amplitude distribution of axon membrane noise voltage. Acta physiologica et pharmacologica Neerlandica. 15 [PubMed]

von_Neumann J. (1956). Automata Studies.

References and models that cite this paper

Al-Darabsah I, Chen L, Nicola W, Campbell SA. (2021). The Impact of Small Time Delays on the Onset of Oscillations and Synchrony in Brain Networks Frontiers in systems neuroscience. 15 [PubMed]

Bart E, Bao S, Holcman D. (2005). Modeling the spontaneous activity of the auditory cortex. Journal of computational neuroscience. 19 [PubMed]

Behn CG, Brown EN, Scammell TE, Kopell NJ. (2007). Mathematical model of network dynamics governing mouse sleep-wake behavior. Journal of neurophysiology. 97 [PubMed]

Beim Graben P, Rodrigues S. (2012). A biophysical observation model for field potentials of networks of leaky integrate-and-fire neurons. Frontiers in computational neuroscience. 6 [PubMed]

Booth V, Xique I, Diniz Behn C. (2017). One-Dimensional Map for the Circadian Modulation of Sleep in a Sleep-Wake Regulatory Network Model for Human Sleep SIAM Journal on Applied Dynamical Systems. 16

Borisyuk R, Merrison-Hort R, Soffe SR, Koutsikou S, Li WC. (2017). To swim or not to swim: A population-level model of Xenopus tadpole decision making and locomotor behaviour. Bio Systems. 161 [PubMed]

Brown E, Moehlis J, Holmes P. (2004). On the phase reduction and response dynamics of neural oscillator populations. Neural computation. 16 [PubMed]

Cattani A, Solinas S, Canuto C. (2016). A Hybrid Model for the Computationally-Efficient Simulation of the Cerebellar Granular Layer. Frontiers in computational neuroscience. 10 [PubMed]

Chadderdon GL et al. (2014). Motor cortex microcircuit simulation based on brain activity mapping. Neural computation. 26 [PubMed]

Chehelcheraghi M, van Leeuwen C, Steur E, Nakatani C. (2017). A neural mass model of cross frequency coupling. PloS one. 12 [PubMed]

Chen M et al. (2014). Bidirectional control of absence seizures by the basal ganglia: a computational evidence. PLoS computational biology. 10 [PubMed]

Chen T, Lu W, Chen G. (2005). Dynamical Behaviors of a Large Class of General Delayed Neural Networks Neural Comput. 17

Curti E, Mongillo G, La Camera G, Amit DJ. (2004). Mean field and capacity in realistic networks of spiking neurons storing sparsely coded random memories. Neural computation. 16 [PubMed]

Dominguez M, Becker S, Bruce I, Read H. (2006). A spiking neuron model of cortical correlates of sensorineural hearing loss: Spontaneous firing, synchrony, and tinnitus. Neural computation. 18 [PubMed]

Dumont G, Ermentrout GB, Gutkin B. (2017). Macroscopic phase-resetting curves for spiking neural networks. Physical review. E. 96 [PubMed]

Durand DM, Hahn PJ. (2003). Bistability dynamics in simulations of neural activity in high-extracellular-potassium conditions. J Comput Neurosci. 11

Eggert J, van Hemmen JL. (2001). Modeling neuronal assemblies: theory and implementation. Neural computation. 13 [PubMed]

Ermentrout GB, Terman DH. (2010). Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics. 35

Ernst U, Rotermund D, Pawelzik K. (2007). Efficient computation based on stochastic spikes. Neural computation. 19 [PubMed]

Fall CP, Rinzel J. (2006). An intracellular Ca2+ subsystem as a biologically plausible source of intrinsic conditional bistability in a network model of working memory. Journal of computational neuroscience. 20 [PubMed]

Fietkiewicz C, Loparo KA. (2016). Analysis and Enhancements of a Prolific Macroscopic Model of Epilepsy. Scientifica. 2016 [PubMed]

Golomb D, Ahissar E, Kleinfeld D. (2006). Coding of stimulus frequency by latency in thalamic networks through the interplay of GABAB-mediated feedback and stimulus shape. Journal of neurophysiology. 95 [PubMed]

Guthrie M, Leblois A, Garenne A, Boraud T. (2013). Interaction between cognitive and motor cortico-basal ganglia loops during decision making: a computational study. Journal of neurophysiology. 109 [PubMed]

Hamaguchi K, Hatchett JP, Okada M. (2006). Analytic solution of neural network with disordered lateral inhibition. Physical review. E, Statistical, nonlinear, and soft matter physics. 73 [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]

Hamaguchi K, Okada M, Yamana M, Aihara K. (2005). Correlated firing in a feedforward network with Mexican-hat-type connectivity. Neural computation. 17 [PubMed]

Hasselmo ME, Schnell E, Barkai E. (1995). Dynamics of learning and recall at excitatory recurrent synapses and cholinergic modulation in rat hippocampal region CA3. The Journal of neuroscience : the official journal of the Society for Neuroscience. 15 [PubMed]

Hayut I, Fanselow EE, Connors BW, Golomb D. (2011). LTS and FS inhibitory interneurons, short-term synaptic plasticity, and cortical circuit dynamics. PLoS computational biology. 7 [PubMed]

Herrmann A, Gerstner W. (2001). Noise and the PSTH response to current transients: I. General theory and application to the integrate-and-fire neuron. Journal of computational neuroscience. 11 [PubMed]

Horwitz B et al. (2005). Investigating the neural basis for functional and effective connectivity. Application to fMRI. Philosophical transactions of the Royal Society of London. Series B, Biological sciences. 360 [PubMed]

Humphries MD, Gurney K, Prescott TJ. (2007). Is there a brainstem substrate for action selection? Philosophical transactions of the Royal Society of London. Series B, Biological sciences. 362 [PubMed]

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

Kim CM, Nykamp DQ. (2017). The influence of depolarization block on seizure-like activity in networks of excitatory and inhibitory neurons. Journal of computational neuroscience. 43 [PubMed]

Kramer MA, Szeri AJ, Sleigh JW, Kirsch HE. (2007). Mechanisms of seizure propagation in a cortical model. Journal of computational neuroscience. 22 [PubMed]

Laing CR, Longtin A. (2003). Dynamics of deterministic and stochastic paired excitatory-inhibitory delayed feedback. Neural computation. 15 [PubMed]

Latham PE, Nirenberg S. (2004). Computing and stability in cortical networks. Neural computation. 16 [PubMed]

Leblois A, Boraud T, Meissner W, Bergman H, Hansel D. (2006). Competition between feedback loops underlies normal and pathological dynamics in the basal ganglia. The Journal of neuroscience : the official journal of the Society for Neuroscience. 26 [PubMed]

Loebel A, Tsodyks M. (2002). Computation by ensemble synchronization in recurrent networks with synaptic depression. Journal of computational neuroscience. 13 [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]

Maex R, De Schutter E. (2003). Resonant synchronization in heterogeneous networks of inhibitory neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 23 [PubMed]

Mejias JF, Murray JD, Kennedy H, Wang XJ. (2016). Feedforward and feedback frequency-dependent interactions in a large-scale laminar network of the primate cortex. Science advances. 2 [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]

Nykamp DQ, Tranchina D. (2000). A population density approach that facilitates large-scale modeling of neural networks: analysis and an application to orientation tuning. Journal of computational neuroscience. 8 [PubMed]

Papasavvas CA, Trevelyan AJ, Kaiser M, Wang Y. (2020). Divisive gain modulation enables flexible and rapid entrainment in a neocortical microcircuit model. Journal of neurophysiology. 123 [PubMed]

Pavlides A, Hogan SJ, Bogacz R. (2015). Computational Models Describing Possible Mechanisms for Generation of Excessive Beta Oscillations in Parkinson's Disease. PLoS computational biology. 11 [PubMed]

Shpiro A, Curtu R, Rinzel J, Rubin N. (2007). Dynamical characteristics common to neuronal competition models. Journal of neurophysiology. 97 [PubMed]

Song JL et al. (2019). A novel neural computational model of generalized periodic discharges in acute hepatic encephalopathy. Journal of computational neuroscience. 47 [PubMed]

Sotero RC, Trujillo-Barreto NJ, Iturria-Medina Y, Carbonell F, Jimenez JC. (2007). Realistically coupled neural mass models can generate EEG rhythms. Neural computation. 19 [PubMed]

Suffczynski P, Kalitzin S, Lopes Da Silva FH. (2004). Dynamics of non-convulsive epileptic phenomena modeled by a bistable neuronal network. Neuroscience. 126 [PubMed]

Tabak J, Mascagni M, Bertram R. (2010). Mechanism for the universal pattern of activity in developing neuronal networks. Journal of neurophysiology. 103 [PubMed]

Tabak J, O'Donovan MJ, Rinzel J. (2006). Differential control of active and silent phases in relaxation models of neuronal rhythms. Journal of computational neuroscience. 21 [PubMed]

Taylor PN, Baier G. (2011). A spatially extended model for macroscopic spike-wave discharges. Journal of computational neuroscience. 31 [PubMed]

Thomas EA, Bornstein JC. (2003). Inhibitory cotransmission or after-hyperpolarizing potentials can regulate firing in recurrent networks with excitatory metabotropic transmission. Neuroscience. 120 [PubMed]

Thomas EA, Bornstein JC, Chambers JD. (2011). Multiple Neural Oscillators and Muscle Feedback Are Required for the Intestinal Fed State Motor Program PLoS ONE. 6(5)

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

Tsodyks M, Pawelzik K, Markram H. (1998). Neural networks with dynamic synapses. Neural computation. 10 [PubMed]

Ulloa A, Horwitz B. (2016). Embedding Task-Based Neural Models into a Connectome-Based Model of the Cerebral Cortex. Frontiers in neuroinformatics. 10 [PubMed]

Vasilaki E, Giugliano M. (2014). Emergence of connectivity motifs in networks of model neurons with short- and long-term plastic synapses. PloS one. 9 [PubMed]

Veit J, Hakim R, Jadi MP, Sejnowski TJ, Adesnik H. (2017). Cortical gamma band synchronization through somatostatin interneurons. Nature neuroscience. 20 [PubMed]

Visser S, van Gils SA. (2014). Lumping Izhikevich neurons EPJ Nonlinear Biomedical Physics. 25(12)

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

Wang Y et al. (2017). Mechanisms underlying different onset patterns of focal seizures PLoS. 13(5)

Webster-Wood VA, Gill JP, Thomas PJ, Chiel HJ. (2020). Control for multifunctionality: bioinspired control based on feeding in Aplysia californica. Biological cybernetics. 114 [PubMed]

Wendling F, Hernandez A, Bellanger JJ, Chauvel P, Bartolomei F. (2005). Interictal to ictal transition in human temporal lobe epilepsy: insights from a computational model of intracerebral EEG. Journal of clinical neurophysiology : official publication of the American Electroencephalographic Society. 22 [PubMed]

Wickens JR, Arbuthnott GW, Shindou T. (2007). Simulation of GABA function in the basal ganglia: computational models of GABAergic mechanisms in basal ganglia function. Progress in brain research. 160 [PubMed]

Wilson M, Bower JM. (1992). Cortical oscillations and temporal interactions in a computer simulation of piriform cortex. Journal of neurophysiology. 67 [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]

Yousif N, Bain PG, Nandi D, Borisyuk R. (2020). A Population Model of Deep Brain Stimulation in Movement Disorders From Circuits to Cells. Frontiers in human neuroscience. 14 [PubMed]

Zandt BJ, Visser S, van Putten MJ, Ten Haken B. (2014). A neural mass model based on single cell dynamics to model pathophysiology. Journal of computational neuroscience. 37 [PubMed]

This website requires cookies and limited processing of your personal data in order to function. By continuing to browse or otherwise use this site, you are agreeing to this use. See our Privacy policy and how to cite and terms of use.