An Understanding of the Physical Solutions and the Blow-Up Phenomenon for Nonlinear Noisy Leaky Integrate and Fire Neuronal Models
DOI10.4208/cicp.OA-2020-0241zbMath1477.35280arXiv2011.05860OpenAlexW3214966258MaRDI QIDQ5163897
Alejandro Ramos-Lora, Maria José Cáceres
Publication date: 9 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.05860
stochastic differential equationFokker-Planck equationneuronal networksblow-up phenomenaleaky integrate and fire modelsplateau distribution
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Neural networks for/in biological studies, artificial life and related topics (92B20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Neural nets applied to problems in time-dependent statistical mechanics (82C32) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for problems pertaining to biology (92-08) Blow-up in context of PDEs (35B44) Fokker-Planck equations (35Q84)
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