Colored noise and a stochastic fractional model for correlated inputs and adaptation in neuronal firing

DOI10.1007/s00422-017-0731-0zbMath1400.92108OpenAlexW2752506485WikidataQ47681928 ScholiaQ47681928MaRDI QIDQ1799435

Enrica Pirozzi

Publication date: 18 October 2018

Published in: Biological Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00422-017-0731-0

zbMATH Keywords

simulationintegrated Gauss-Markov processleaky integrated-and-fire model

Mathematics Subject Classification ID

Neural biology (92C20) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items (5)

On a stochastic neuronal model integrating correlated inputs ⋮ Modeling biological systems with an improved fractional Gompertz law ⋮ An optimal Gauss-Markov approximation for a process with stochastic drift and applications ⋮ Asymptotic results for first-passage times of some exponential processes ⋮ On the first-passage times of certain Gaussian processes, and related asymptotics

Cites Work

• Unnamed Item
• A leaky integrate-and-fire model with adaptation for the generation of a spike train
• Successive spike times predicted by a stochastic neuronal model with a variable input signal
• Estimating nonstationary inputs from a single spike train based on a neuron model with adaptation
• The first passage time problem for Gauss-diffusion processes: algorithmic approaches and applications to LIF neuronal model
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Diffusion and memory effects for stochastic processes and fractional Langevin equations
• Fractional-order leaky integrate-and-fire model with long-term memory and power law dynamics
• Restricted Ornstein-Uhlenbeck process and applications in neuronal models with periodic input signals
• A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input
• Stochastic fractional differential equations: modeling, method and analysis
• A computational approach to first-passage-time problems for Gauss–Markov processes
• On a Stochastic Leaky Integrate-and-Fire Neuronal Model
• Introduction to Theoretical Neurobiology
• Stochastic Integrate and Fire Models: A Review on Mathematical Methods and Their Applications
• Stochastic Calculus for Fractional Brownian Motion and Applications

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