Abstract
The membrane potential of spatially distributed neurons is modeled as a random field driven by a generalized Poisson process. Approximation to an Ornstein-Uhlenbeck type process is established in the sense of weak convergence of the induced measures in Skorokhod space.
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Communicated by H. H. Kuo
This research was supported by AFOSR Contract No. F49620 82 C 0009.
On leave from Duke University.
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Kallianpur, G., Wolpert, R. Infinite dimensional stochastic differential equation models for spatially distributed neurons. Appl Math Optim 12, 125–172 (1984). https://doi.org/10.1007/BF01449039
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DOI: https://doi.org/10.1007/BF01449039