Analysis of a stochastic neuronal model with excitatory inputs and state-dependent effects

DOI10.1016/j.mbs.2007.03.008zbMath1126.92009OpenAlexW2047723338WikidataQ51916091 ScholiaQ51916091MaRDI QIDQ2466549

Barbara Martinucci, Antonio Di Crescenzo

Publication date: 15 January 2008

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2007.03.008

zbMATH Keywords

first-passage timestochastic neuronal modelfiring timesexcitatory stimulifiring densityfiring moments

Mathematics Subject Classification ID

Neural biology (92C20) Signal detection and filtering (aspects of stochastic processes) (60G35)

Related Items (6)

Stein's neuronal model with pooled renewal input ⋮ A two-state neuronal model with alternating exponential excitation ⋮ A First-Passage-Time Problem for Symmetric and Similar Two-Dimensional Birth–Death Processes ⋮ Asymptotic results for first-passage times of some exponential processes ⋮ Probabilistic analysis of systems alternating for state-dependent dichotomous noise ⋮ On a First-Passage-Time Problem for the Compound Power-Law Process

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Ornstein-Uhlenbeck process as a model for neuronal activity. I. Mean and variance of the firing time
• Diffusion approximation of the neuronal model with synaptic reversal potentials
• The effect of a random initial value in neural first-passage-time models
• An analysis of Stein's model for stochastic neuronal excitation
• Study of neuronal gain in a conductance-based leaky integrate-and-fire neuron model with balanced excitatory and inhibitory synaptic input
• A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties
• A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input
• NONHOMOGENEOUS POISSON PROCESSES AND LOGCONCAVITY
• Reliability applications of the relevation transform
• Introduction to Theoretical Neurobiology
• Characterization of Subthreshold Voltage Fluctuations in Neuronal Membranes
• Computer Aided Systems Theory – EUROCAST 2005

This page was built for publication: Analysis of a stochastic neuronal model with excitatory inputs and state-dependent effects