Dresden 2017 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 26: Posters - Statistical Physics, Stochastic Thermodynamics

DY 26.16: Poster

Dienstag, 21. März 2017, 18:15–21:00, P3

Analysis of bifurcations in stochastic biological networks with few nodes — •Marc Mendler, Johannes Falk, and Barbara Drossel — Technische Universität Darmstadt, Institut für Festkörperphysik

We investigate how intrinsic noise, which is due to small molecule numbers, influences the occurrence, position and critical parameter values of saddle-node and hopf bifurcations in reaction networks with few nodes.

In recent years new experimental techniques have enabled researchers to observe and analyse biological systems at the single cell level. At those scales intrinsic noise can play a significant role and alter the system's behaviour. In order to describe such systems correctly, one has to utilize stochastic methods.

Based on the Fokker Planck equation we investigate how the number and position of local maxima of the stationary distribution changes and relates to the position of fixed points and bifurcations in the deterministic description. We apply these methods to stochastic saddle-node and hopf bifurcations. Using simple example systems, we also compare our analytical results with numerical simulations.