Statistical properties of stochastic nonlinear dynamical models of single spiking neurons and neural networks.

Keywords

Ordinary differential equation, Stochastic differential equation, Nonlinear system, Dynamical systems theory, White noise

References

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Cited by

• Doubly stochastic processes: an approach for understanding central nervous system activityJanet Best — 2009
• Analysis of inverse stochastic resonance and long-term firing in Hodgkin-Huxley neuronsHenry C. Tuckwell, Jürgen Jost — 2012
• Dynamic models of brain imaging data and their Bayesian inversionA. Sousa Cardoso Costa Marreiros — 2010
• Controlling excitable media with noiseFranz-Xaver Sailer — 2006
• Neural stochastic dynamics of perceptual decision makingDaniel Ortega — 2008
• Optimizing information flow in small genetic networks. IV. Spatial coupling.Thomas R. Sokolowski, Gašper Tkačik — 2015
• Analytical and Simulation Results for Stochastic Fitzhugh-Nagumo Neurons and Neural NetworksHenry C. Tuckwell, Roger Rodriguez — 1998
• Extended method of moments for deterministic analysis of stochastic multistable neurodynamical systems.Gustavo Deco, Daniel Martí — 2007
• Observing bifurcation and resonance in a mean-field coupled periodically driven noisy overdamped oscillators by the method of momentsYanmei Kang, Yao‐Lin Jiang — 2009
• Mean field approximation for noisy delay coupled excitable neuronsNikola Burić, Dragana Ranković, Kristina Todorović — 2010
• Noisy spiking neurons and networks: useful approximations for firing probabilities and global behavior.Roger Rodriguez, Henry C. Tuckwell — 1998
• Dynamics of moments of FitzHugh-Nagumo neuronal models and stochastic bifurcations.Seiji Tanabe, Khashayar Pakdaman — 2001
• Noise induced complexity: from subthreshold oscillations to spiking in coupled excitable systems.Michael A. Zaks, X. Sailer, Lutz Schimansky-Geier — 2005
• Stability, bifurcations, and dynamics of global variables of a system of bursting neurons.Igor Franović, Kristina Todorović, Nebojša Vasović — 2011
• Population dynamics under the Laplace assumptionAndré C. Marreiros, Stefan J. Kiebel, Jean Daunizeau — 2009
• Population dynamics: Variance and the sigmoid activation functionAndré C. Marreiros, Jean Daunizeau, Stefan J. Kiebel — 2008
• Stationary and dynamical properties of finite N-unit Langevin models subjected to multiplicative noisesHideo Hasegawa — 2006
• Augmented moment method for stochastic ensembles with delayed couplings. II. FitzHugh-Nagumo model.Hideo Hasegawa — 2003
• The spike timing precision of FitzHugh–Nagumo neuron network coupled by gap junctionsSuhua Zhang, Yong Zhan, Hui Yu — 2006
• Modeling Neural ActivityWim van Drongelen — 2013

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