Stochastic processes in neurophysiology: Transformation from point to continuous processes

DOI10.1007/BF02459582zbMath0563.92004OpenAlexW4230995585WikidataQ52712178 ScholiaQ52712178MaRDI QIDQ1057789

Arun V. Holden

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf02459582

zbMATH Keywords

spectrumneurophysiologycontinuous random functionsgeneration of flicker noiseinteracting point processesmembrane noisespike train activity of neuronestransformation of point processes

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Other natural sciences (mathematical treatment) (92F05) Physiological, cellular and medical topics (92Cxx)

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Cites Work

• Statistical dependency as a measure to evaluate Markov properties of stochastic point processes
• A note on convolution and stable distributions in the nervous system
• A model for flicker noise in nerve membranes
• Infinite divisibility in stochastic processes
• Statistical inference on markov process of neuronal impulse sequences
• A Biometrics Invited Paper. Stochastic Models for Single Neuron Firing Trains: A Survey
• A note on passage times and infinitely divisible distributions
• Selective interaction of a poisson and renewal process: the dependency structure of the intervals between responses
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