Synchronization of firing times in a stochastic neural network model with excitatory connections

DOI10.1016/0304-4149(94)90155-4zbMath0805.92003OpenAlexW2094873710MaRDI QIDQ1318340

Edward C. van der Meulen, Walter Mommaerts, Tatyana S. Turova

Publication date: 27 March 1994

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(94)90155-4

zbMATH Keywords

Markov chainthreshold crossingsmembrane potentialexponential synchronizationOrnstein- Uhlenbeck processcompletely connected networkexcitatory connectionsexponentially decaying jumpsexponentially decaying threshold

Mathematics Subject Classification ID

Neural biology (92C20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (3)

\(p\)th moment exponential synchronization for stochastic delayed Cohen-Grossberg neural networks with Markovian switching ⋮ Exponential rate of convergence of an infinite neuron model with local connections ⋮ Results on a binding neuron model and their implications for modified hourglass model for neuronal network

Cites Work

• The Ornstein-Uhlenbeck process as a model for neuronal activity. I. Mean and variance of the firing time
• Mathematical analysis of a neural network with inhibitory coupling
• Wald's identity and random walk models for neuron firing
• Evaluation of the first-passage time probability to a square root boundary for the Wiener process
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