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Infinite dimensional stochastic differential equation models for spatially distributed neurons

Publication ,  Journal Article
Kallianpur, G; Wolpert, R
Published in: Applied Mathematics & Optimization
October 1, 1984

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.

Duke Scholars

Published In

Applied Mathematics & Optimization

DOI

EISSN

1432-0606

ISSN

0095-4616

Publication Date

October 1, 1984

Volume

12

Issue

1

Start / End Page

125 / 172

Related Subject Headings

  • Applied Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
 

Citation

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Kallianpur, G., & Wolpert, R. (1984). Infinite dimensional stochastic differential equation models for spatially distributed neurons. Applied Mathematics & Optimization, 12(1), 125–172. https://doi.org/10.1007/BF01449039
Kallianpur, G., and R. Wolpert. “Infinite dimensional stochastic differential equation models for spatially distributed neurons.” Applied Mathematics & Optimization 12, no. 1 (October 1, 1984): 125–72. https://doi.org/10.1007/BF01449039.
Kallianpur G, Wolpert R. Infinite dimensional stochastic differential equation models for spatially distributed neurons. Applied Mathematics & Optimization. 1984 Oct 1;12(1):125–72.
Kallianpur, G., and R. Wolpert. “Infinite dimensional stochastic differential equation models for spatially distributed neurons.” Applied Mathematics & Optimization, vol. 12, no. 1, Oct. 1984, pp. 125–72. Scopus, doi:10.1007/BF01449039.
Kallianpur G, Wolpert R. Infinite dimensional stochastic differential equation models for spatially distributed neurons. Applied Mathematics & Optimization. 1984 Oct 1;12(1):125–172.
Journal cover image

Published In

Applied Mathematics & Optimization

DOI

EISSN

1432-0606

ISSN

0095-4616

Publication Date

October 1, 1984

Volume

12

Issue

1

Start / End Page

125 / 172

Related Subject Headings

  • Applied Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics