Statistical properties of the asymmetric random telegraph signal, with applications to single-channel analysis

DOI10.1016/0025-5564(83)90028-7zbMath0521.92008OpenAlexW2064587619MaRDI QIDQ1055705

Richard FitzHugh

Publication date: 1983

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(83)90028-7

zbMATH Keywords

Fokker-Planck equationsspectral densityKolmogorov equationsautocorrelationasymmetric random telegraph signalalternating Poisson processdensity functions of pulse durationdistribution of number of jumpsmodeling ionic channelsnerve membranesingle-channel analysissingle-time- constant filter

Mathematics Subject Classification ID

Signal detection and filtering (aspects of stochastic processes) (60G35) Special processes (60K99) Mathematical economics (91B99) Channel models (including quantum) in information and communication theory (94A40) Physiological, cellular and medical topics (92Cxx)

Related Items (6)

Liquid transport in scale space ⋮ Stochastic models for ion channels: Introduction and bibliography ⋮ Space-scale-time dynamics of liquid–gas shear flow ⋮ Ion channel kinetics: A model based on fractal scaling rather than multistate Markov processes ⋮ Self-similarity of turbulent jet flows with internal and external intermittency ⋮ Integrate-and-fire neurons driven by asymmetric dichotomous noise

Cites Work

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• The zero-crossing interval statistics of the smoothed random telegraph signal
• Generalizations and extensions of the Fokker- Planck-Kolmogorov equations
• The transition probability density function of the low-pass filtered random telegraph signal†
• Statistical geometry of the smoothed random telegraph signal†
• Noise in Semiconductors: Spectrum of a Two-Parameter Random Signal
• Mathematical Analysis of Random Noise

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