Citation Relationships



Hong S, Agüera y Arcas B, Fairhall AL (2007) Single neuron computation: from dynamical system to feature detector. Neural Comput 19:3133-72 [PubMed]

References and models cited by this paper

References and models that cite this paper

Abbott LF, Kepler TB (1990) Model neurons: from Hodgkin Huxley to Hopfield. Statistical Mechanics of Neural Networks Lecture Notes in Physics, Garrido L, ed. pp.5

Agüera y Arcas B, Fairhall AL (2003) What causes a neuron to spike? Neural Comput 15:1789-807 [Journal] [PubMed]

Agüera y Arcas B, Fairhall AL, Bialek W (2003) Computation in a single neuron: Hodgkin and Huxley revisited. Neural Comput 15:1715-49 [Journal] [PubMed]

Aldworth ZN, Miller JP, Gedeon T, Cummins GI, Dimitrov AG (2005) Dejittered spike-conditioned stimulus waveforms yield improved estimates of neuronal feature selectivity and spike-timing precision of sensory interneurons. J Neurosci 25:5323-32 [Journal] [PubMed]

Azouz R, Gray CM (2000) Dynamic spike threshold reveals a mechanism for synaptic coincidence detection in cortical neurons in vivo. Proc Natl Acad Sci U S A 97:8110-5 [Journal] [PubMed]

Bialek W, de Ruyter van Steveninck RR (2005) Features and dimensions: Motion estimation in fly vision Manuscript submitted for publication

Borst A, Flanagin VL, Sompolinsky H (2005) Adaptation without parameter change: Dynamic gain control in motion detection. Proc Natl Acad Sci U S A 102:6172-6 [Journal] [PubMed]

Brenner N, Bialek W, de Ruyter van Steveninck R (2000) Adaptive rescaling maximizes information transmission. Neuron 26:695-702 [PubMed]

de Ruyter van Steveninck RR, Bialek W (1988) Real-time performance of a movement sensitive in the blowfly visual system: Information transfer in short spike sequences Proc Roy Soc Lond 234:379-414

Deweese M (1995) Optimization principles for the neural code Unpublished doctoral dissertation, Princeton University

Fairhall AL, Burlingame CA, Narasimhan R, Harris RA, Puchalla JL, Berry MJ (2006) Selectivity for multiple stimulus features in retinal ganglion cells. J Neurophysiol 96:2724-38 [Journal] [PubMed]

Fitzhugh R (1961) Impulses and Physiological States in Theoretical Models of Nerve Membrane. Biophys J 1:445-66 [PubMed]

Gerstner W, Kistler WM (2002) Spiking neuron models

Gradshteyn IS, Ryzhik IM (2000) Table of integrals, series, and products (6th ed)

Horwitz GD, Chichilnisky EJ, Albright TD (2005) Blue-yellow signals are enhanced by spatiotemporal luminance contrast in macaque V1. J Neurophysiol 93:2263-78 [Journal] [PubMed]

Hutcheon B, Yarom Y (2000) Resonance, oscillation and the intrinsic frequency preferences of neurons. Trends Neurosci 23:216-22 [PubMed]

Huys QJ, Ahrens MB, Paninski L (2006) Efficient estimation of detailed single-neuron models. J Neurophysiol 96:872-90 [Journal] [PubMed]

   Efficient estimation of detailed single-neuron models (Huys et al. 2006) [Model]

Izhikevich EM (2006) Resonate-and-fire neurons. Neural Netw 14:883-94

Izhikevich EM (2007) Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting [Journal]

   Artificial neuron model (Izhikevich 2003, 2004, 2007) [Model]

Keat J, Reinagel P, Reid RC, Meister M (2001) Predicting every spike: a model for the responses of visual neurons. Neuron 30:803-17 [PubMed]

Kistler WM, Gerstner W, van Hemmen JL (1997) Reduction of Hodgkin-Huxley equations to a single-variable threshold model. Neural Comput 9:1015-1045

Maravall M, Petersen RS, Fairhall AL, Arabzadeh E, Diamond ME (2007) Shifts in coding properties and maintenance of information transmission during adaptation in barrel cortex. PLoS Biol 5:e19 [Journal] [PubMed]

Marmarelis PZ, Marmarelis VZ (1974) Measurement of the Wiener kernels of anon-linear system by cross-correlation Int J Control 2:234-254

Marmarelis V (2004) Nonlinear dynamic modeling of physiological systems

Mehta ML (1991) Random matrices (3rd ed)

Meister M, Berry MJ (1999) The neural code of the retina. Neuron 22:435-50 [PubMed]

Nagumo J, Arimoto S, Yoshizawa S (1962) An Active Pulse Transmission Line Simulating Nerve Axon Proceedings of the IRE 50:2061-2070 [Journal]

Paninski L, Lau B, Reyes A (2003) Noise-driven adaptation: in vitro and mathematical analysis Neurocomputing 52:877-883

Paninski L, Pillow JW, Simoncelli EP (2004) Maximum likelihood estimation of a stochastic integrate-and-fire neural encoding model. Neural Comput 16:2533-61 [Journal] [PubMed]

Petersen R (2003) Coding of dynamical whisker stimulation in the rat somatosensory cortex: A spike-triggered covariance analysis Soc Neurosci Abstr 57.1

Pillow J, Simoncelli E (2003) Biases in white noise analysis due to non-Poisson spike generation Neurocomputing 52:109-155

Pillow JW, Paninski L, Uzzell VJ, Simoncelli EP, Chichilnisky EJ (2005) Prediction and decoding of retinal ganglion cell responses with a probabilistic spiking model. J Neurosci 25:11003-13 [Journal] [PubMed]

Powers RK, Dai Y, Bell BM, Percival DB, Binder MD (2005) Contributions of the input signal and prior activation history to the discharge behaviour of rat motoneurones. J Physiol 562:707-24 [Journal] [PubMed]

   Contibutions of input and history to motoneuron output (Powers et al 2005) [Model]

Rieke F (1992) Physical principles underlying sensory processing and computation Doctoral Thesis

Rieke F, Warland D, de Ruyter van Steveninck, R, Bialek B (1997) Spikes: Exploring The Neural Code

Rust NC, Schwartz O, Movshon JA, Simoncelli EP (2005) Spatiotemporal elements of macaque v1 receptive fields. Neuron 46:945-56 [Journal] [PubMed]

Simoncelli EP, Paninski L, Pillow J, Schwartz O (2004) Characterization of neural responses with stochastic stimuli The New Cognitive Neurosciences (3rd ed), Gazzaniga M, ed.

Slee SJ, Higgs MH, Fairhall AL, Spain WJ (2005) Two-dimensional time coding in the auditory brainstem. J Neurosci 25:9978-88 [Journal] [PubMed]

Touryan J, Lau B, Dan Y (2002) Isolation of relevant visual features from random stimuli for cortical complex cells. J Neurosci 22:10811-8 [PubMed]

Truccolo W, Eden UT, Fellows MR, Donoghue JP, Brown EN (2005) A point process framework for relating neural spiking activity to spiking history, neural ensemble, and extrinsic covariate effects. J Neurophysiol 93:1074-89 [Journal] [PubMed]

Victor J, Shapley R (1980) A method of nonlinear analysis in the frequency domain. Biophys J 29:459-83 [Journal] [PubMed]

Victor JD, Shapley RM (1979) The nonlinear pathway of Y ganglion cells in the cat retina. J Gen Physiol 74:671-89 [PubMed]

Volterra V (1930) Theory of Functionals and of Integro-Differential Equations

Wiener N (1958) Nonlinear Problems in Random Theory

Yu Y, Lee TS (2003) Dynamical mechanisms underlying contrast gain control in single neurons. Phys Rev E Stat Nonlin Soft Matter Phys 68:011901 [Journal] [PubMed]

Das A, Narayanan R (2015) Active dendrites mediate stratified gamma-range coincidence detection in hippocampal model neurons. J Physiol 593:3549-76 [Journal] [PubMed]

Lundstrom BN, Famulare M, Sorensen LB, Spain WJ, Fairhall AL (2009) Sensitivity of firing rate to input fluctuations depends on time scale separation between fast and slow variables in single neurons J Comput Neurosci [Journal]

   Hodgkin-Huxley simplifed 2D and 3D models (Lundstrom et al. 2009) [Model]

Prescott SA, De Koninck Y, Sejnowski TJ (2008) Biophysical basis for three distinct dynamical mechanisms of action potential initiation. PLoS Comput Biol 4:e1000198 [Journal] [PubMed]

   Dynamics of Spike Initiation (Prescott et al. 2008) [Model]

(48 refs)