A phase transition in the first passage of a Brownian process through a fluctuating boundary with implications for neural coding

DOI10.1073/pnas.1212479110zbMath1292.60082arXiv1206.6129OpenAlexW1999732938WikidataQ36782019 ScholiaQ36782019MaRDI QIDQ5171003

Marcelo O. Magnasco, Thibaud Taillefumier

Publication date: 25 July 2014

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.6129

Mathematics Subject Classification ID

Neural biology (92C20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (8)

First-passage time statistics on surfaces of general shape: surface PDE solvers using generalized moving least squares (GMLS) ⋮ Successive spike times predicted by a stochastic neuronal model with a variable input signal ⋮ Closed-form solutions for the first-passage-time problem and neuronal modeling ⋮ A Transition to Sharp Timing in Stochastic Leaky Integrate-and-Fire Neurons Driven by Frozen Noisy Input ⋮ Stretched exponential dynamics of coupled logistic maps on a small-world network ⋮ First passage leapovers of Lévy flights and the proper formulation of absorbing boundary conditions ⋮ The moving-eigenvalue method: hitting time for Itô processes and moving boundaries ⋮ Mean first passage time and absorption probabilities of a Lévy flier on a finite interval: discrete space and continuous limit via Fock space approach

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