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Using the linear noise approximation, we approach to the problem of evaluation and prediction of behavior of autonomous oscillatory genetic networks fluctuated by intrinsic noise. In this approach, the state covariance of the networks represents all the information concerning the fluctuation by intrinsic noise, and further, when the genetic network is an autonomous oscillatory system, the state covariance...
The Lyapunov equation, which describes stochastic variations of systems as a covariance equation, plays a central role in evaluation and prediction of behavior of genetic regulatory networks fluctuated by molecular noises. When the genetic network is an autonomously oscillatory system, the Lyapunov equation becomes a periodic differential equation that has generally unbounded solutions. We discuss...
Circadian rhythms, which are observed in most of organisms, e.g. bacteria, fungi, plants, and animals, are self-sustained oscillations with about 24 hours period and a remarkable temperature compensation property. By using the temperature-compensated and robust temperature-compensated deterministic models for circadian rhythms, we perform the stochastic simulations based on the Gillespie's method...
Random telegraph noise (RTN) in scaled FETs is one of the biggest concerns in the present and future LSIs. However, RTN in high-kappa gate dielectric FETs have not been fully studied yet. In this paper, we have studied RTN in high-kappa pFETs in comparison with that in SiO2 pFETs. It is found for the first time that the reduction of the RTN amplitude (DeltaId/Id) by the surface holes is smaller in...
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