Biomedical subjects

Igor A Khovanov

Publications and source records attributed to Igor A Khovanov.

2 recordsLinked to original sources

PubMed2003

Time-phase bispectral analysis.

Bispectral analysis, a technique based on high-order statistics, is extended to encompass time dependence for the case of coupled nonlinear oscillators. It is applicable to univariate as well as to multivariate data obtained, respectively, from one or more of the oscillators. It is demonstrated for a generic model of interacting systems whose basic units are the Poincaré oscillators. Their frequency and phase relationships are explored for different coupling strengths, both with and without Gaussian noise. The distinctions between additive linear or quadratic, and parametric (frequency modulated), interactions in the presence of noise are illustrated.

Journal Article↗

PubMed2003

Comment on "Signal-to-noise ratio gain in neuronal systems".

We discuss the gain in signal-to-noise ratio (SNR) recently reported by Liu et al. [Phys. Rev. E 63, 051912 (2001)] in the Hodgkin-Huxley neuronal model. We show first that the possibility of signal-to-noise ratio enhancements can be checked by consideration of the statistical characteristics of switching between the system states, and we examine how the SNR depends on the shape of a periodic signal. Second, we attempt to verify the SNR gain reported by Liu et al.: based on spectral calculations and analyses of switching statistics, we are unable to find any SNR gain in the Hodgkin-Huxley model.

Models, Neurological↗