Goldbeter's mitotic oscillator entirely modeled by MP systems

Abstract

MP systems are a class of P systems introduced for modeling metabolic processes. Here we apply an algorithm, we call Log-Gain Stoichiometric Stepwise Regression (LGSS), to Golbeter's oscillator. In general, LGSS derives MP models from the time series of observed dynamics. In the case of Golbeter's oscillator, we found that by considering different values of the resolution time τ, different analytical forms of regulation maps were appropriate. By means of a suitable MATLAB implementation of LGSS, we automatically generated 700 MP models (τ varying from 10-3 min to 700 •10-3 min with increments of 10-3 min). Many of these models exhibit a good approximation, and have second degree polynomials as regulation maps. These results provide an experimental evidence of LGSS adequacy. © 2010 Springer-Verlag.