Infinite dimensional stochastic differential equation models for spatially distributed neurons


Journal Article

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. © 1984 Springer-Verlag New York Inc.

Full Text

Duke Authors

Cited Authors

  • Kallianpur, G; Wolpert, R

Published Date

  • October 1, 1984

Published In

Volume / Issue

  • 12 / 1

Start / End Page

  • 125 - 172

Electronic International Standard Serial Number (EISSN)

  • 1432-0606

International Standard Serial Number (ISSN)

  • 0095-4616

Digital Object Identifier (DOI)

  • 10.1007/BF01449039

Citation Source

  • Scopus