TY - BOOK AU - Buzsaki, G. PY - 2006 DA - 2006// TI - Rhythms of the Brain PB - Oxford University Press CY - Oxford UR - https://doi.org/10.1093/acprof:oso/9780195301069.001.0001 DO - 10.1093/acprof:oso/9780195301069.001.0001 ID - Buzsaki2006 ER - TY - JOUR AU - Singer, W. AU - Gray, C. M. PY - 1995 DA - 1995// TI - Visual feature integration and the temporal correlation hypothesis JO - Annu. Rev. Neurosci VL - 18 UR - https://doi.org/10.1146/annurev.ne.18.030195.003011 DO - 10.1146/annurev.ne.18.030195.003011 ID - Singer1995 ER - TY - JOUR AU - Gray, C. M. PY - 1999 DA - 1999// TI - The temporal correlation hypothesis of visual feature integration: still alive and well JO - Neuron VL - 24 UR - https://doi.org/10.1016/S0896-6273(00)80820-X DO - 10.1016/S0896-6273(00)80820-X ID - Gray1999 ER - TY - JOUR AU - Salinas, E. AU - Sejnowski, T. J. PY - 2001 DA - 2001// TI - Correlated neuronal activity and the flow of neural information JO - Nat. Rev., Neurosci VL - 4 UR - https://doi.org/10.1038/35086012 DO - 10.1038/35086012 ID - Salinas2001 ER - TY - JOUR AU - Sejnowski, T. J. AU - Paulsen, O. PY - 2006 DA - 2006// TI - Network oscillations: emerging computational principles JO - J. Neurosci VL - 26 UR - https://doi.org/10.1523/JNEUROSCI.3737-05d.2006 DO - 10.1523/JNEUROSCI.3737-05d.2006 ID - Sejnowski2006 ER - TY - BOOK AU - Kuramoto, Y. PY - 1992 DA - 1992// TI - Stochastic Processes in Physics and Chemistry PB - North-Holland CY - Amsterdam ID - Kuramoto1992 ER - TY - JOUR AU - Ermentrout, G. B. AU - Kopell, N. PY - 1991 DA - 1991// TI - Multiple pulse interactions and averaging in coupled neural oscillators JO - J. Math. Biol VL - 29 UR - https://doi.org/10.1007/BF00160535 DO - 10.1007/BF00160535 ID - Ermentrout1991 ER - TY - JOUR AU - Pikovsky, A. S. PY - 1984 DA - 1984// TI - Synchronization and stochastization of an ensemble of autogenerators by external noise JO - Radiophys. Quantum Electron VL - 27 ID - Pikovsky1984 ER - TY - CHAP AU - Teramae, J. N. AU - Tanaka, D. PY - 2004 DA - 2004// TI - Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators BT - Phys. Rev. Lett ID - Teramae2004 ER - TY - CHAP AU - Goldobin, D. S. AU - Pikovsky, A. PY - 2005 DA - 2005// TI - Synchronization and desynchronization of self-sustained oscillators by common noise BT - Phys. Rev. E ID - Goldobin2005 ER - TY - JOUR AU - Galan, R. F. AU - Ermentrout, G. B. AU - Urban, N. N. PY - 2006 DA - 2006// TI - Correlation-induced synchronization of oscillations in olfactory bulb neurons JO - J. Neurosci VL - 26 UR - https://doi.org/10.1523/JNEUROSCI.4605-05.2006 DO - 10.1523/JNEUROSCI.4605-05.2006 ID - Galan2006 ER - TY - CHAP AU - Nakao, H. AU - Arai, K. AU - Kawamura, Y. PY - 2007 DA - 2007// TI - Noise-induced synchronization and clustering in ensembles of uncoupled limit cycle oscillators BT - Phys. Rev. Lett ID - Nakao2007 ER - TY - CHAP AU - Marella, S. AU - Ermentrout, G. B. PY - 2008 DA - 2008// TI - Class-II neurons display a higher degree of stochastic synchronization than class-I neurons BT - Phys. Rev. E ID - Marella2008 ER - TY - CHAP AU - Teramae, J. N. AU - Nakao, H. AU - Ermentrout, G. B. PY - 2009 DA - 2009// TI - Stochastic phase reduction for a general class of noisy limit cycle oscillators BT - Phys. Rev. Lett ID - Teramae2009 ER - TY - JOUR AU - Ly, C. AU - Ermentrout, G. B. PY - 2009 DA - 2009// TI - Synchronization of two coupled neural oscillators receiving shared and unshared noisy stimuli JO - J. Comput. Neurosci VL - 26 UR - https://doi.org/10.1007/s10827-008-0120-8 DO - 10.1007/s10827-008-0120-8 ID - Ly2009 ER - TY - JOUR AU - Mainen, Z. F. AU - Sejnowski, T. J. PY - 1995 DA - 1995// TI - Reliability of spike timing in neocortical neurons JO - Science VL - 268 UR - https://doi.org/10.1126/science.7770778 DO - 10.1126/science.7770778 ID - Mainen1995 ER - TY - JOUR AU - Galan, R. F. AU - Ermentrout, G. B. AU - Urban, N. N. PY - 2008 DA - 2008// TI - Optimal time scale for spike-time reliability: theory, simulations and expeiments JO - J. Neurophysiol VL - 99 UR - https://doi.org/10.1152/jn.00563.2007 DO - 10.1152/jn.00563.2007 ID - Galan2008 ER - TY - JOUR AU - Wilson, H. R. AU - Cowan, J. D. PY - 1972 DA - 1972// TI - Excitatory and inhibitory interactions in localized populations of model neurons JO - Biophys. J VL - 12 UR - https://doi.org/10.1016/S0006-3495(72)86068-5 DO - 10.1016/S0006-3495(72)86068-5 ID - Wilson1972 ER - TY - JOUR AU - Wilson, H. R. AU - Cowan, J. D. PY - 1973 DA - 1973// TI - A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue JO - Kybernetik VL - 13 UR - https://doi.org/10.1007/BF00288786 DO - 10.1007/BF00288786 ID - Wilson1973 ER - TY - CHAP AU - Ohira, T. AU - Cowan, J. D. ED - Ellacott, S. ED - Anderson, I. J. PY - 1997 DA - 1997// TI - Stochastic neurodynamics and the system size expansion BT - Proceedings of the First International Conference on Mathematics of Neural Networks PB - Academic Press CY - New York ID - Ohira1997 ER - TY - CHAP AU - Buice, M. AU - Cowan, J. D. PY - 2007 DA - 2007// TI - Field-theoretic approach to fluctuation effects in neural networks BT - Phys. Rev. E ID - Buice2007 ER - TY - JOUR AU - Buice, M. AU - Cowan, J. D. AU - Chow, C. C. PY - 2010 DA - 2010// TI - Systematic fluctuation expansion for neural network activity equations JO - Neural Comput VL - 22 UR - https://doi.org/10.1162/neco.2009.02-09-960 DO - 10.1162/neco.2009.02-09-960 ID - Buice2010 ER - TY - JOUR AU - Bressloff, P. C. PY - 2009 DA - 2009// TI - Stochastic neural field theory and the system-size expansion JO - SIAM J. Appl. Math VL - 70 UR - https://doi.org/10.1137/090756971 DO - 10.1137/090756971 ID - Bressloff2009 ER - TY - CHAP AU - Bressloff, P. C. PY - 2010 DA - 2010// TI - Metastable states and quasicycles in a stochastic Wilson-Cowan model of neuronal population dynamics BT - Phys. Rev. E ID - Bressloff2010 ER - TY - BOOK AU - Gardiner, C. PY - 2006 DA - 2006// TI - Stochastic Methods PB - Springer CY - Berlin ID - Gardiner2006 ER - TY - JOUR AU - Abbott, L. F. AU - van Vreeswijk, C. PY - 1993 DA - 1993// TI - Asynchronous states in networks of pulse-coupled oscillators JO - Phys. Rev. E VL - 48 UR - https://doi.org/10.1103/PhysRevE.48.1483 DO - 10.1103/PhysRevE.48.1483 ID - Abbott1993 ER - TY - JOUR AU - Gerstner, W. AU - Van Hemmen, J. L. PY - 1993 DA - 1993// TI - Coherence and incoherence in a globally coupled ensemble of pulse-emitting units JO - Phys. Rev. Lett VL - 99 UR - https://doi.org/10.1103/PhysRevLett.71.312 DO - 10.1103/PhysRevLett.71.312 ID - Gerstner1993 ER - TY - JOUR AU - Brunel, N. AU - Hakim, V. PY - 1999 DA - 1999// TI - Fast global oscillations in networks of integrate-and-fire neurons with low firing rates JO - Neural Comput VL - 11 UR - https://doi.org/10.1162/089976699300016179 DO - 10.1162/089976699300016179 ID - Brunel1999 ER - TY - JOUR AU - Brunel, N. PY - 2000 DA - 2000// TI - Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons JO - J. Comput. Neurosci VL - 8 UR - https://doi.org/10.1023/A:1008925309027 DO - 10.1023/A:1008925309027 ID - Brunel2000 ER - TY - CHAP AU - Renart, A. AU - Brunel, N. AU - Wang, X. J. ED - Feng, J. PY - 2004 DA - 2004// TI - Mean-field theory of irregularly spiking neuronal populations and working memory in recurrent cortical networks BT - Computational Neuroscience: A Comprehensive Approach PB - CRC Press CY - Boca Raton, Fl ID - Renart2004 ER - TY - JOUR AU - Meyer, C. AU - van Vreeswijk, C. PY - 2002 DA - 2002// TI - Temporal correlations in stochastic networks of spiking neurons JO - Neural Comput VL - 14 UR - https://doi.org/10.1162/08997660252741167 DO - 10.1162/08997660252741167 ID - Meyer2002 ER - TY - CHAP AU - Mattia, M. AU - Del Guidice, P. PY - 2002 DA - 2002// TI - Population dynamics of interacting spiking neurons BT - Phys. Rev. E ID - Mattia2002 ER - TY - JOUR AU - Soula, H. AU - Chow, C. C. PY - 2007 DA - 2007// TI - Stochastic dynamics of a finite-size spiking neural network JO - Neural Comput VL - 19 UR - https://doi.org/10.1162/neco.2007.19.12.3262 DO - 10.1162/neco.2007.19.12.3262 ID - Soula2007 ER - TY - JOUR AU - Boustani, S. E. AU - Destexhe, A. PY - 2009 DA - 2009// TI - A master equation formalism for macroscopic modeling of asynchronous irregular activity states JO - Neural Comput VL - 21 UR - https://doi.org/10.1162/neco.2009.02-08-710 DO - 10.1162/neco.2009.02-08-710 ID - Boustani2009 ER - TY - CHAP AU - Doiron, B. AU - Lindner, B. AU - Longtin, A. AU - Maler, L. AU - Bastian, J. PY - 2004 DA - 2004// TI - Oscillatory activity in electrosensory neurons increases with the spatial correlation of the stochastic input stimulus BT - Phys. Rev. Lett ID - Doiron2004 ER - TY - JOUR AU - Borisyuk, R. AU - Kirillov, A. B. PY - 1992 DA - 1992// TI - Bifurcation analysis of a neural network model JO - Biol. Cybern VL - 66 UR - https://doi.org/10.1007/BF00203668 DO - 10.1007/BF00203668 ID - Borisyuk1992 ER - TY - JOUR AU - Shuster, H. G. AU - Wagner, P. PY - 1990 DA - 1990// TI - A model for neuronal oscillations in the visual cortex JO - Biol. Cybern VL - 64 UR - https://doi.org/10.1007/BF00203633 DO - 10.1007/BF00203633 ID - Shuster1990 ER - TY - JOUR AU - Grannan, E. R. AU - Kleinfeld, D. AU - Sompolinsky, H. PY - 1993 DA - 1993// TI - Stimulus-dependent synchronization of neuronal assemblies JO - Neural Comput VL - 5 UR - https://doi.org/10.1162/neco.1993.5.4.550 DO - 10.1162/neco.1993.5.4.550 ID - Grannan1993 ER - TY - JOUR AU - Tabak, J. AU - Senn, W. AU - O’Donovan, M. J. AU - Rinzel, J. PY - 2000 DA - 2000// TI - Modeling of spontaneous activity in developing spinal cord using activity-dependent depression in an excitatory network JO - J. Neurosci VL - 20 ID - Tabak2000 ER - TY - JOUR AU - Tabak, J. AU - O’Donovan, M. J. AU - Rinzel, J. PY - 2006 DA - 2006// TI - Differential control of active and silent phases in relaxation models of neuronal rhythms JO - J. Comput. Neurosci VL - 21 UR - https://doi.org/10.1007/s10827-006-8862-7 DO - 10.1007/s10827-006-8862-7 ID - Tabak2006 ER - TY - JOUR AU - Holcman, D. AU - Tsodyks, M. PY - 2006 DA - 2006// TI - The emergence of Up and Down states in cortical networks JO - PLoS Comput. Biol VL - 2 UR - https://doi.org/10.1371/journal.pcbi.0020174 DO - 10.1371/journal.pcbi.0020174 ID - Holcman2006 ER - TY - JOUR AU - Kilpatrick, Z. P. AU - Bressloff, P. C. PY - 2010 DA - 2010// TI - Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network JO - Physica D VL - 239 UR - https://doi.org/10.1016/j.physd.2009.06.003 DO - 10.1016/j.physd.2009.06.003 ID - Kilpatrick2010 ER - TY - JOUR AU - Kilpatrick, Z. P. AU - Bressloff, P. C. PY - 2010 DA - 2010// TI - Spatially structured oscillations in a two-dimensional excitatory neuronal network with synaptic depression JO - J. Comput. Neurosci VL - 28 UR - https://doi.org/10.1007/s10827-009-0199-6 DO - 10.1007/s10827-009-0199-6 ID - Kilpatrick2010 ER - TY - JOUR AU - Pakdaman, K. AU - Thieullen, M. AU - Wainrib, G. PY - 2010 DA - 2010// TI - Fluid limit theorems for stochastic hybrid systems with application to neuron models JO - Adv. Appl. Probab VL - 42 UR - https://doi.org/10.1239/aap/1282924062 DO - 10.1239/aap/1282924062 ID - Pakdaman2010 ER - TY - BOOK AU - Van Kampen, N. G. PY - 1992 DA - 1992// TI - Stochastic Processes in Physics and Chemistry PB - North-Holland CY - Amsterdam ID - Van Kampen1992 ER - TY - JOUR AU - Gillespie, D. T. PY - 2000 DA - 2000// TI - The chemical Langevin equation JO - J. Chem. Phys VL - 113 UR - https://doi.org/10.1063/1.481811 DO - 10.1063/1.481811 ID - Gillespie2000 ER - TY - JOUR AU - Lei, J. PY - 2009 DA - 2009// TI - Stochasticity in single gene expression with both intrinsic noise and fluctuations in kinetic parameters JO - J. Theor. Biol VL - 256 UR - https://doi.org/10.1016/j.jtbi.2008.10.028 DO - 10.1016/j.jtbi.2008.10.028 ID - Lei2009 ER - TY - JOUR AU - Kurtz, T. G. PY - 1976 DA - 1976// TI - Limit theorems and diffusion approximations for density dependent Markov chains JO - Math. Program. Stud VL - 5 UR - https://doi.org/10.1007/BFb0120765 DO - 10.1007/BFb0120765 ID - Kurtz1976 ER - TY - CHAP AU - Ermentrout, G. B. ED - Laing, C. R. ED - Lord, G. J. PY - 2009 DA - 2009// TI - Noisy oscillators BT - Stochastic Methods in Neuroscience PB - Oxford University Press CY - Oxford ID - Ermentrout2009 ER - TY - JOUR AU - Vladimirski, B. AU - Tabak, J. AU - O’Donovan, M. J. AU - Rinzel, J. PY - 2008 DA - 2008// TI - Neural networks with dynamic synapses JO - J. Comput. Neurosci VL - 25 UR - https://doi.org/10.1007/s10827-007-0064-4 DO - 10.1007/s10827-007-0064-4 ID - Vladimirski2008 ER - TY - JOUR AU - Nesse, W. H. AU - Borisyuk, A. AU - Bressloff, P. C. PY - 2009 DA - 2009// TI - Fluctuation-driven rhythmogenesis in an excitatory neuronal network with slow adaptation JO - J. Comput. Neurosci VL - 25 UR - https://doi.org/10.1007/s10827-008-0081-y DO - 10.1007/s10827-008-0081-y ID - Nesse2009 ER - TY - CHAP AU - Buckwar, E. AU - Riedler, M. G. PY - 2011 DA - 2011// TI - An exact stochastic hybrid model of excitable membranes including spatio-temporal evolution BT - J. Math. Biol ID - Buckwar2011 ER - TY - JOUR AU - Abbott, L. F. AU - Varela, J. A. AU - Sen, K. AU - Nelson, S. B. PY - 1997 DA - 1997// TI - Synaptic depression and cortical gain control JO - Science VL - 275 UR - https://doi.org/10.1126/science.275.5297.221 DO - 10.1126/science.275.5297.221 ID - Abbott1997 ER - TY - JOUR AU - Tsodyks, M. S. AU - Pawelzik, K. AU - Markram, H. PY - 1998 DA - 1998// TI - Neural networks with dynamic synapses JO - Neural Comput VL - 10 UR - https://doi.org/10.1162/089976698300017502 DO - 10.1162/089976698300017502 ID - Tsodyks1998 ER - TY - JOUR AU - Zeisler, S. AU - Franz, U. AU - Wittich, O. AU - Liebscher, V. PY - 2008 DA - 2008// TI - Simulation of genetic networks modelled by piecewise deterministic Markov processes JO - IET Syst. Bio VL - 2 UR - https://doi.org/10.1049/iet-syb:20070045 DO - 10.1049/iet-syb:20070045 ID - Zeisler2008 ER - TY - CHAP AU - Smith, G. D. ED - Fall, C. P. ED - Marland, E. S. ED - Wagner, J. M. ED - Tyson, J. J. PY - 2002 DA - 2002// TI - Modeling the stochastic gating of ion channels BT - Computational Cell Biology PB - Springer CY - New York ID - Smith2002 ER - TY - JOUR AU - Hutt, A. AU - Longtin, A. AU - Schimansky-Geier, L. PY - 2008 DA - 2008// TI - Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift-Hohenberg equation JO - Physica D VL - 237 UR - https://doi.org/10.1016/j.physd.2007.10.013 DO - 10.1016/j.physd.2007.10.013 ID - Hutt2008 ER - TY - JOUR AU - Faugeras, O. AU - Touboul, J. AU - Cessac, B. PY - 2009 DA - 2009// TI - A constructive mean-field analysis of multi-population neural networks with random synaptic weights and stochastic inputs JO - Front. Comput. Neurosci VL - 3 UR - https://doi.org/10.3389/neuro.10.001.2009 DO - 10.3389/neuro.10.001.2009 ID - Faugeras2009 ER - TY - JOUR AU - Laing, C. R. AU - Chow, C. C. PY - 2002 DA - 2002// TI - A spiking neuron model for binocular rivalry JO - J. Comput. Neurosci VL - 12 UR - https://doi.org/10.1023/A:1014942129705 DO - 10.1023/A:1014942129705 ID - Laing2002 ER - TY - JOUR AU - Wilson, H. R. PY - 2003 DA - 2003// TI - Computational evidence for a rivalry hierarchy in vision JO - Proc. Natl. Acad. Sci. USA VL - 100 UR - https://doi.org/10.1073/pnas.2333622100 DO - 10.1073/pnas.2333622100 ID - Wilson2003 ER - TY - JOUR AU - Moreno-Bote, R. AU - Rinzel, J. AU - Rubin, N. PY - 2007 DA - 2007// TI - Noise-induced alternations in an attractor network model of perceptual bistability JO - J. Neurophysiol VL - 98 UR - https://doi.org/10.1152/jn.00116.2007 DO - 10.1152/jn.00116.2007 ID - Moreno-Bote2007 ER - TY - JOUR AU - Shpiro, A. AU - Curtu, R. AU - Rinzel, J. AU - Rubin, N. PY - 2007 DA - 2007// TI - Dynamical characteristics common to neuronal competition models JO - J. Neurophysiol VL - 97 UR - https://doi.org/10.1152/jn.00604.2006 DO - 10.1152/jn.00604.2006 ID - Shpiro2007 ER - TY - JOUR AU - Shpiro, A. AU - Moreno-Bote, R. AU - Rubin, N. AU - Rinzel, J. PY - 2009 DA - 2009// TI - Balance between noise and adaptation in competition models of perceptual bistability JO - J. Comput. Neurosci VL - 27 UR - https://doi.org/10.1007/s10827-008-0125-3 DO - 10.1007/s10827-008-0125-3 ID - Shpiro2009 ER - TY - JOUR AU - Kilpatrick, Z. P. AU - Bressloff, P. C. PY - 2010 DA - 2010// TI - Binocular rivalry in a competitive neural network with synaptic depression JO - SIAM J. Appl. Dyn. Syst VL - 9 UR - https://doi.org/10.1137/100788872 DO - 10.1137/100788872 ID - Kilpatrick2010 ER - TY - JOUR AU - Blake, R. PY - 2001 DA - 2001// TI - A primer on binocular rivalry, including current controversies JO - Brain and Mind VL - 2 UR - https://doi.org/10.1023/A:1017925416289 DO - 10.1023/A:1017925416289 ID - Blake2001 ER - TY - JOUR AU - Blake, R. AU - Logethetis, N. PY - 2002 DA - 2002// TI - Visual competition JO - Nat. Rev., Neurosci VL - 3 UR - https://doi.org/10.1038/nrn701 DO - 10.1038/nrn701 ID - Blake2002 ER - TY - JOUR AU - Logothetis, N. K. AU - Leopold, D. A. AU - Sheinberg, D. L. PY - 1996 DA - 1996// TI - What is rivalling during binocular rivalry? JO - Nature VL - 380 UR - https://doi.org/10.1038/380621a0 DO - 10.1038/380621a0 ID - Logothetis1996 ER - TY - CHAP AU - McKane, A. J. AU - Newman, T. J. PY - 2004 DA - 2004// TI - Stochastic models in population biology and their deterministic analogs BT - Phys. Rev. E ID - McKane2004 ER - TY - CHAP AU - Tome, T. AU - de Oliviera, M. J. PY - 2009 DA - 2009// TI - Role of noise in population dynamics cycles BT - Phys. Rev. E ID - Tome2009 ER - TY - CHAP AU - Igarashi, Y. AU - Oizumi, M. AU - Okada, M. PY - 2010 DA - 2010// TI - Mean field analysis of stochastic neural network models with synaptic depression BT - J. Phys. Soc. Jpn ID - Igarashi2010 ER -