Berlin 2012 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
BP: Fachverband Biologische Physik
BP 18: Posters: Statistical Physics in Biological Systems
BP 18.25: Poster
Mittwoch, 28. März 2012, 17:30–19:30, Poster A
Stochastic bifurcations in biological systems — •Anna Zakharova1, Aneta Koseska1, Juergen Kurths2,3, and Tatyana Vadivasova4 — 1Center for Dynamics of Complex Systems, University of Potsdam, Potsdam, Germany — 2Potsdam Institute for Climate Impact Research, Potsdam, Germany — 3Institute of Physiscs, Humboldt University Berlin, Berlin, Germany — 4Saratov State University, Saratov, Russia
The influence of noise on nonlinear dynamical systems is one of the most relevant and intensively developing research directions of nonlinear dynamics. The investigation of stochasticity is very important for understanding the dynamical features of real systems, since they are inevitably affected by noise. In the present work we define a concept of stochastic bifurcations as an approach to the analysis of noisy systems. First, we apply this method to a Duffing-Van der Pol oscillator and further extend it to biological systems. On the example of gene relaxation oscillator we demonstrate that a concept of stochastic bifurcations is suitable to investigate the dynamical structure of cellular networks. Furthermore, we show that under stochastic influence the expression of given proteins is defined via the probability distribution of the phase variable, representing one of the genes consisting the system. Moreover, for the isochronous case we found out the presence of coherence resonance-like (CR-like) effect. We also show that under changing stochastic conditions the probabilities of expressing certain concentration values are different, leading to different functionality of the cells, and thus to differentiation of the cells in the various types.