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Lansky P, Sanda P, He J (2006) The parameters of the stochastic leaky integrate-and-fire neuronal model. J Comput Neurosci 21:211-23 [PubMed]

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References and models that cite this paper

Brillinger DR, Segundo JP (1979) Empirical examination of the threshold model of neuron firing. Biol Cybern 35:213-20 [PubMed]
Christodoulou C, Bugmann G (2000) Near Poisson-type firing produced by concurrent excitation and inhibition. Biosystems 58:41-8 [PubMed]
Dayan P, Abbott L (2001) Neural encoding: Firing rates and spike statistics Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems
Ditlevsen S, Lansky P (2005) Estimation of the input parameters in the Ornstein-Uhlenbeck neuronal model. Phys Rev E Stat Nonlin Soft Matter Phys 71:011907 [Journal] [PubMed]
Duchamp-Viret P, Kostal L, Chaput M, Lánsky P, Rospars JP (2005) Patterns of spontaneous activity in single rat olfactory receptor neurons are different in normally breathing and tracheotomized animals. J Neurobiol 65:97-114 [Journal] [PubMed]
Eggermont JJ, Smith GM, Bowman D (1993) Spontaneous burst firing in cat primary auditory cortex: age and depth dependence and its effect on neural interaction measures. J Neurophysiol 69:1292-313 [Journal] [PubMed]
Feigin P (1976) Maximum likelihood estimation for stochastic processes martingale approach Adv Appl Probab 8:712-736
Gardiner CW (1983) Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences
Gerstner W, Kistler WM (2002) Spiking neuron models
He J (2003) Slow oscillation in non-lemniscal auditory thalamus. J Neurosci 23:8281-90 [PubMed]
Inoue J, Sato S, Ricciardi LM (1995) On the parameter estimation for diffusion models of single neuron's activities. I. Application to spontaneous activities of mesencephalic reticular formation cells in sleep and waking states. Biol Cybern 73:209-221 [PubMed]
Johnson DH (1996) Point process models of single-neuron discharges. J Comput Neurosci 3:275-99 [PubMed]
Jolivet R, Rauch A, Luscher H-R, Gerstner W (2006) Integrate-and-fire models with adaptation are good enough: Predicting spike times under random current injection Advances in Neural Information Processing Systems, Weiss Y:Scholkopf B:Platt J, ed.
Jones TA, Jones SM (2000) Spontaneous activity in the statoacoustic ganglion of the chicken embryo. J Neurophysiol 83:1452-68 [Journal] [PubMed]
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
Kloeden PE, Platen E (1992) Numerical Solution Of Stochastic Differential Equations
Koch C (1999) Biophysics Of Computation: Information Processing in Single Neurons
Koyama S, Shinomnoto S (2005) Empirical Bayes interpretation of random point events J Phys A: Math Gen 38:531-537
La Camera G, Rauch A, Lüscher HR, Senn W, Fusi S (2004) Minimal models of adapted neuronal response to in vivo-like input currents. Neural Comput 16:2101-24 [Journal] [PubMed]
Lansky P (1983) Inference for the diffusion models of neuronal activity Math Biosci 67:247-260
Lansky P (1997) Sources of periodical force in noisy integrate-and-fire models of neuronal dynamics Phys Rev E 55:2040-2043
Lansky P, Giorno V, Nobile AG, Ricciardi LM (1998) A diffusion neuronal model and its parameters Proceedings of International Workshop Biomathematics and related Computational Problems, Ricciardi LM, ed.
Lánský P, Lánská V (1987) Diffusion approximation of the neuronal model with synaptic reversal potentials. Biol Cybern 56:19-26 [PubMed]
Lánský P, Lánská V (1994) First-passage-time problem for simulated stochastic diffusion processes. Comput Biol Med 24:91-101 [PubMed]
Lánský P, Smith CE (1989) The effect of a random initial value in neural first-passage-time models. Math Biosci 93:191-215 [PubMed]
Laughlin SB (2001) Energy as a constraint on the coding and processing of sensory information. Curr Opin Neurobiol 11:475-80 [PubMed]
Lin X, Chen S (2000) Endogenously generated spontaneous spiking activities recorded from postnatal spiral ganglion neurons in vitro. Brain Res Dev Brain Res 119:297-305 [PubMed]
Nobile AG, Ricciardi LM, Sacerdote L (1985) Exponential trends of Ornstein-Uhlenbeck 1st-passage-time densities J Appl Prob 22:360-369
Paninski L, Pillow J, Simoncelli E (2005) Comparing integrate-and-fire models estimated using intracellular and extracellular data Neurocomputing 65:379-385
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]
Pinsky PF, Rinzel J (1994) Intrinsic and network rhythmogenesis in a reduced Traub model for CA3 neurons. J Comput Neurosci 1:39-60 [PubMed]
   CA3 pyramidal cell: rhythmogenesis in a reduced Traub model (Pinsky, Rinzel 1994) [Model]
Prakasa_Rao BLS (1999) Statistical inference for diffusion type processes
Rauch A, La Camera G, Luscher HR, Senn W, Fusi S (2003) Neocortical pyramidal cells respond as integrate-and-fire neurons to in vivo-like input currents. J Neurophysiol 90:1598-612 [Journal] [PubMed]
Ricciardi LM, Lansky P (2003) Diffusion models of neuronal activity The Handbook of the Brain Theory and Neural Networks (2nd ed), Arbib MA, ed.
Richardson MJ, Gerstner W (2005) Synaptic shot noise and conductance fluctuations affect the membrane voltage with equal significance. Neural Comput 17:923-47 [Journal] [PubMed]
Rodriguez R, Lanský P (2000) Effect of spatial extension on noise-enhanced phase locking in a leaky integrate-and-fire model of a neuron. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 62:8427-37
Rospars JP, Lánský P, Vaillant J, Duchamp-Viret P, Duchamp A (1994) Spontaneous activity of first- and second-order neurons in the frog olfactory system. Brain Res 662:31-44 [PubMed]
Segev I (1992) Single neurone models: oversimple, complex and reduced. Trends Neurosci 15:414-21 [PubMed]
Shinomoto S, Sakai Y, Funahashi S (1999) The Ornstein-Uhlenbeck process does not reproduce spiking statistics of neurons in prefrontal cortex. Neural Comput 11:935-51 [PubMed]
Stevens CF (1964) Letter to the editor Biophys J 4:417-419
Stevens CF, Zador AM (1998) Novel integrate-and-fire-like model of repetitive firing in cortical neurons. Proceedings of the Fifth Joint Symposium on Neural Computation
Tateno T, Kawana A, Jimbo Y (2002) Analytical characterization of spontaneous firing in networks of developing rat cultured cortical neurons. Phys Rev E Stat Nonlin Soft Matter Phys 65:051924 [Journal] [PubMed]
Tuckwell HC (1988) Introduction To Theoretical Neurobiology: Vol 1, Linear Cable Theory And Dendritic Structure
Tuckwell HC, Lánský P (1997) On the simulation of biological diffusion processes. Comput Biol Med 27:1-7 [PubMed]
Tuckwell HC, Richter W (1978) Neuronal interspike time distributions and the estimation of neurophysiological and neuroanatomical parameters. J Theor Biol 71:167-83 [PubMed]
Xiong Y, Yq YU, Chan YS, He J (2003) An in-vivo intracellular study of the auditory thalamic neurons Thalamus Related Sys 2:253-260
Yu YQ, Xiong Y, Chan YS, He J (2004) Corticofugal gating of auditory information in the thalamus: an in vivo intracellular recording study. J Neurosci 24:3060-9
Jolivet R, Kobayashi R, Rauch A, Naud R, Shinomoto S, Gerstner W (2008) A benchmark test for a quantitative assessment of simple neuron models. J Neurosci Methods 169:417-24 [Journal] [PubMed]
   Spike Response Model simulator (Jolivet et al. 2004, 2006, 2008) [Model]
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