A stochastic model for the membrane potential of a stimulated neuron

DOI10.1007/BF00276950zbMath0717.92008WikidataQ52545543 ScholiaQ52545543MaRDI QIDQ2638986

Arnoldo Frigessi, W. Th. F. den Hollander

Publication date: 1989

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

membrane potentialaverage interspike timeslarge neural netneuronal electric potentialstimulated neuronstochastic transition between neural phases

Mathematics Subject Classification ID

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

Cites Work

• Inference for the diffusion models of neuronal activity
• Random Walks on Lattices. II
• On an integral equation for first-passage-time probability densities
• Exponential trends of Ornstein–Uhlenbeck first-passage-time densities
• A note on first-passage time and some related problems
• First-passage-time density and moments of the ornstein-uhlenbeck process
• Introduction to Theoretical Neurobiology
• ON SEMI-MARKOV PROCESSES
• The First Passage Problem for a Continuous Markov Process
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