On time non-homogeneous feller-type diffusion process in neuronal modeling

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Abstract

Time non-homogeneous Feller-type and Ornstein-Uhlenbeck diffusion processes are considered for modeling the neuronal activity in the presence of time-varying input signals. In particular, the first passage time (FPT) problem is analyzed for both processes and the averages of FPT through a constant boundary are compared for a constant input signal and for different choices of involved parameters.

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Nobile, A. G., & Pirozzi, E. (2015). On time non-homogeneous feller-type diffusion process in neuronal modeling. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9520, pp. 183–191). Springer Verlag. https://doi.org/10.1007/978-3-319-27340-2_24

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