Acceleration of diffusion in randomly switching potential with supersymmetry.

We investigate the overdamped Brownian motion in a supersymmetric periodic potential switched by Markovian dichotomous noise between two configurations. The two configurations differ from each other by a shift of one-half period. The calculation of the effective diffusion coefficient is reduced to the mean first passage time problem.

Noise-enhanced stability in fluctuating metastable states.

We derive general equations for the nonlinear relaxation time of Brownian diffusion in randomly switching potential with a sink. For piece-wise linear dichotomously fluctuating potential with metastable state, we obtain the exact average lifetime as a function of the potential parameters and the noise intensity. Our result is valid for arbitrary white noise intensity and for arbitrary fluctuation rate of the potential.

[Coding in molecular biology and radiation].

In work, on the basis of known base biological laws, the new natural three-dimensional designs are under construction: codonogram and aminogram. Codonogram and aminogram have revealed the new laws of coding and constructions in molecular biology. The secondary coding codonogram, at the expense of redundancy, has enabled for DNA, RNA, and mRNA to construct the hidden coding layers (HLC).