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Laing CR (2006) On the application of "equation-free modelling" to neural systems. J Comput Neurosci 20:5-23 [PubMed]

References and models cited by this paper

References and models that cite this paper

Berman NJ, Maler L (1999) Neural architecture of the electrosensory lateral line lobe: adaptations for coincidence detection, a sensory searchlight and frequency-dependent adaptive filtering J Exp Biol 202:1243-53 [PubMed]

Bressloff PC (2001) Traveling fronts and wave propagation failure in an in homogeneous neural network Physica D 155:83-100

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]

Chow CC, Kopell N (2000) Dynamics of spiking neurons with electrical coupling. Neural Comput 12:1643-78 [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]

Doedel E, Keller HB, Kernevez JP (1991) Numerical analysis and controlof bifurcation problems. (I) Bifurcation in finite dimensions Int J Bifn Chaos 1:493-520

Doiron B, Chacron MJ, Maler L, Longtin A, Bastian J (2003) Inhibitory feedback required for network oscillatory responses to communication but not prey stimuli. Nature 421:539-43 [Journal] [PubMed]

Doiron B, Laing C, Longtin A, Maler L (2002) Ghostbursting: a novel neuronal burst mechanism. J Comput Neurosci 12:5-25 [PubMed]

Doiron B, Longtin A, Turner RW, Maler L (2001) Model of gamma frequency burst discharge generated by conditional backpropagation. J Neurophysiol 86:1523-45 [Journal] [PubMed]

Ermentrout GB (1994) Reduction of conductance based models with slow synapses to neural networks. Neural Computation 6:679-695

Fourcaud N, Brunel N (2002) Dynamics of the firing probability of noisy integrate-and-fire neurons. Neural Comput 14:2057-110 [Journal] [PubMed]

Garcia-archilla B, Novo J, Titi ES (1998) Postprocessing the Galerkinmethod: A novel approach to approximate inertial manifolds SIAM J Numer Ana 35:941-972

Gear CW, Kevrekidis IG, Theodoropoulos C (2002) Coarse integration-bifurcation analysis via microscopic simulators: Micro-Galerkin methods Comp Chem Eng 26:941-963

Gerstner W, Kistler WM (2002) Spiking neuron models

Givon D, Kupferman R, Stuart A (2004) Extracting macroscopic dynamics: Model problems and algorithms Nonlinearity 17:R55-R127

Gutkin BS, Laing CR, Colby CL, Chow CC, Ermentrout GB (2001) Turning on and off with excitation: the role of spike-timing asynchrony and synchrony in sustained neural activity. J Comput Neurosci 11:121-34 [PubMed]

Izhikevich EM (2000) Neural excitability, spiking and bursting Int J Bifurcat Chaos Appl Sci Eng 10:1171-1266

Kevrekidis IG, Gear CW, Hyman JM, Kevrekidis PG, Runborg O, Theodoropoulos C (2003) Equation-free, coarse-grained multiscale computation: Enabling microscopic simulators to performsystem-level analysis Comm Math Sci 1:715-762

Koch C (1999) Biophysics Of Computation: Information Processing in Single Neurons

Kopell N, Ermentrout B (2004) Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks. Proc Natl Acad Sci U S A 101:15482-7 [Journal] [PubMed]

Laing CR, Chow CC (2001) Stationary bumps in networks of spiking neurons. Neural Comput 13:1473-94 [Journal] [PubMed]

Laing CR, Longtin A (2003) Dynamics of deterministic and stochastic paired excitatory-inhibitory delayed feedback. Neural Comput 15:2779-822 [Journal] [PubMed]

Laing CR, Troy WC (2003) Two-bump solutions of Amari-type models of neuronal pattern formation Physica D 187:190-218

Laing CR, Troy WC, Gutkin B, Ermentrout GB (2002) Multiple bumps in a neuronal model of working memory SIAM J Appl Math 63:62-97

Makeev AG, Maroudas D, Kevrekedis IG (2002) Coarse stability and bifurcation analysis using stochastic simulators: Kinetic Monte Carlo examples J Chem Phys 116:10083-10091

Moller J, Runborg O, Kevrekidis PG, Lust K, Kevrekidis IG (2005) Equation-free, effective computation for discrete systems: A time stepper based approach Int J Bifn Chaos 15:975-996

Runborg O, Theodoropoulos C, Kevrekidis IG (2002) Effective bifurcation analysis: A time-stepper-based approach Nonlinearity 15:491-511

Shriki O, Hansel D, Sompolinsky H (2003) Rate models for conductance-based cortical neuronal networks. Neural Comput 15:1809-41 [Journal] [PubMed]

Varela JA, Sen K, Gibson J, Fost J, Abbott LF, Nelson SB (1997) A quantitative description of short-term plasticity at excitatory synapses in layer 2/3 of rat primary visual cortex. J Neurosci 17:7926-40 [Journal] [PubMed]

   Short term plasticity of synapses onto V1 layer 2/3 pyramidal neuron (Varela et al 1997) [Model]

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