The steady state and response to a periodic stimulation of the firing rate for a theta neuron with correlated noise

DOI10.1007/s10827-022-00836-6zbMath1518.92030OpenAlexW4307115932MaRDI QIDQ6172472

Lukas Ramlow, Benjamin Lindner, Jannik Franzen

Publication date: 19 July 2023

Published in: Journal of Computational Neuroscience (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10827-022-00836-6

zbMATH Keywords

neural signal transmissionneuron modelstochastic neuron modelspike train variability

Mathematics Subject Classification ID

Neural biology (92C20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Fokker-Planck equations (35Q84)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Fokker-Planck equation. Methods of solution and applications
• Ratchets driven by harmonic and white noise
• Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons.
• Improved lower bound for the mutual information between signal and neural spike count
• Statistical structure of neural spiking under non-Poissonian or other non-white stimulation
• Integrate-and-fire neurons driven by asymmetric dichotomous noise
• A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input
• Dynamics of the Firing Probability of Noisy Integrate-and-Fire Neurons
• On the Use of Analytical Expressions for the Voltage Distribution to Analyze Intracellular Recordings
• Response of Integrate-and-Fire Neurons to Noisy Inputs Filtered by Synapses with Arbitrary Timescales: Firing Rate and Correlations
• A Singular Perturbation Approach to Non-Markovian Escape Rate Problems
• Firing Rate of the Noisy Quadratic Integrate-and-Fire Neuron
• Analytic Expressions for Rate and CV of a Type I Neuron Driven by White Gaussian Noise
• Comment on “Characterization of Subthreshold Voltage Fluctuations in Neuronal Membranes,” by M. Rudolph and A. Destexhe

This page was built for publication: The steady state and response to a periodic stimulation of the firing rate for a theta neuron with correlated noise