Citation Relationships



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

References and models cited by this paper

References and models that cite this paper

Barak O, Tsodyks M (2006) Recognition by variance: learning rules for spatiotemporal patterns. Neural Comput 18:2343-58 [Journal] [PubMed]

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) [Model]

Burkitt AN, Meffin H, Grayden DB (2004) Spike-timing-dependent plasticity: the relationship to rate-based learning for models with weight dynamics determined by a stable fixed point. Neural Comput 16:885-940 [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]

Eggert J, van Hemmen JL (2001) Modeling neuronal assemblies: theory and implementation. Neural Comput 13:1923-74 [Journal] [PubMed]

Ermentrout GB, Terman DH (2010) Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics, Antman SS:Marsden JE:Sirovich L:Wiggins, ed. pp.1 [Journal]

   Mathematical Foundations of Neuroscience (Ermentrout and Terman 2010) [Model]

Feng J, Brown D (2004) Decoding input signals in time domain--a model approach. J Comput Neurosci 16:237-49 [Journal] [PubMed]

Gabbiani F, Cox SJ (2010) Mathematics for Neuroscientists :1-486 [Journal]

   Mathematics for Neuroscientists (Gabbiani and Cox 2010) [Model]

Hoch T, Wenning G, Obermayer K (2003) Optimal noise-aided signal transmission through populations of neurons. Phys Rev E Stat Nonlin Soft Matter Phys 68:011911 [Journal] [PubMed]

Jackson BS (2004) Including long-range dependence in integrate-and-fire models of the high interspike-interval variability of cortical neurons. Neural Comput 16:2125-95 [Journal] [PubMed]

Jolivet R, Lewis TJ, Gerstner W (2004) Generalized integrate-and-fire models of neuronal activity approximate spike trains of a detailed model to a high degree of accuracy. J Neurophysiol 92:959-76 [Journal] [PubMed]

   Spike Response Model simulator (Jolivet et al. 2004, 2006, 2008) [Model]

Kaltenbrunner A, Gómez V, López V (2007) Phase transition and hysteresis in an ensemble of stochastic spiking neurons. Neural Comput 19:3011-50 [Journal] [PubMed]

Komarov M, Krishnan G, Chauvette S, Rulkov N, Timofeev I, Bazhenov M (2018) New class of reduced computationally efficient neuronal models for large-scale simulations of brain dynamics. J Comput Neurosci 44:1-24 [Journal] [PubMed]

Kuhlmann L, Burkitt AN, Paolini A, Clark GM (2002) Summation of spatiotemporal input patterns in leaky integrate-and-fire neurons: application to neurons in the cochlear nucleus receiving converging auditory nerve fiber input. J Comput Neurosci 12:55-73 [PubMed]

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

Marsálek P, Koch C, Maunsell J (1997) On the relationship between synaptic input and spike output jitter in individual neurons. Proc Natl Acad Sci U S A 94:735-40 [PubMed]

Masuda N, Aihara K (2003) Duality of rate coding and temporal coding in multilayered feedforward networks. Neural Comput 15:103-25 [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]

Miura K, Okada M, Amari S (2006) Estimating spiking irregularities under changing environments. Neural Comput 18:2359-86 [Journal] [PubMed]

Naundorf B, Geisel T, and Wolf F (2005) Action Potential Onset Dynamics and the Response Speed of Neuronal Populations J Comp Neurosci 18:297-309 [Journal]

Nykamp DQ, Tranchina D (2000) A population density approach that facilitates large-scale modeling of neural networks: analysis and an application to orientation tuning. J Comput Neurosci 8:19-50 [PubMed]

Omurtag A, Knight BW, Sirovich L (2000) On the simulation of large populations of neurons. J Comput Neurosci 8:51-63 [PubMed]

Paninski L (2006) The spike-triggered average of the integrate-and-fire cell driven by gaussian white noise. Neural Comput 18:2592-616 [Journal] [PubMed]

Renart A, Song P, Wang XJ (2003) Robust spatial working memory through homeostatic synaptic scaling in heterogeneous cortical networks. Neuron 38:473-85 [PubMed]

Rulkov NF, Timofeev I, Bazhenov M (2004) Oscillations in large-scale cortical networks: map-based model. J Comput Neurosci 17:203-23 [Journal] [PubMed]

   Large cortex model with map-based neurons (Rulkov et al 2004) [Model]

Salinas E, Sejnowski TJ (2001) Correlated neuronal activity and the flow of neural information. Nat Rev Neurosci 2:539-50 [Journal] [PubMed]

Segev I, London M (2000) Untangling dendrites with quantitative models. Science 290:744-50 [PubMed]

Shamir M, Sen K, Colburn HS (2007) Temporal coding of time-varying stimuli. Neural Comput 19:3239-61 [Journal] [PubMed]

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

Tsodyks M, Uziel A, Markram H (2000) Synchrony generation in recurrent networks with frequency-dependent synapses. J Neurosci 20:RC50 [PubMed]

Veredas FJ, Vico FJ, Alonso JM (2005) Factors determining the precision of the correlated firing generated by a monosynaptic connection in the cat visual pathway. J Physiol 567:1057-78 [Journal] [PubMed]

Wenning G, Obermayer K (2003) Activity driven adaptive stochastic resonance. Phys Rev Lett 90:120602 [Journal] [PubMed]

(33 refs)