NON-LINEAR DYNAMICS OF BIOCHEMICAL REACTIONS IN CROWDED MEDIA
Pages 68-71
Dana Craciun, Adriana Isvoran, N. M. Avram
Abstract
Classical kinetics is not applicable for biochemical reactions tacking place in complex crowded media such as biological cell. In such a media we talk about fractal kinetics which implies a time dependence of the kinetic coefficients. Within this study we use the non-linear analysis methods (spectral analysis - SA, detrended fluctuation analysis - DFA) to analyze time series time series of rate coefficients describing diffusion-controlled enzymatic reactions obtained by Monte Carlo simulations in both two-dimensional (2D) and three-dimensional (3D) media without and with obstacles. The values of scaling exponents obtained with DFA method indicate uncorrelated data for media without obstacles, respective long-range correlation for media with obstacles, the correlation being stronger for 2D media. The values of the spectral coefficients, obtained with SA method, reveal that there is correlation within data sets, but it ceases to be of a power-low form.