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Stochastic differential equation models for spatially distributed neurons and propagation of chaos for interacting
1Department of Statistics, University of North Carolina, Chapel Hill 27599-3260.
Mathematical Biosciences
|December 1, 1992
Abstract:
Distribution or nuclear space-valued stochastic differential equations (SDEs) (diffusions as well as discontinuous equations) are discussed as stochastic models for the behavior of voltage potentials of spatially distributed neurons. A propagation of chaos result is obtained for an interacting system of Hilbert space-valued SDEs.