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DY: Fachverband Dynamik und Statistische Physik

DY 29: Poster - Active Matter, Microswimmers and -fluidics, Statistical Physics Biosystems

DY 29.6: Poster

Tuesday, March 8, 2016, 18:15–21:00, Poster C

The influence of intrinsic stochasticity on the stability and bifurcations of few-species networks — •Johannes Falk and Barbara Drossel — TU Darmstadt, Germany

Intrinsic stochasticity in biological networks arises due to the limited number of individuals, which have stochastic birth and death rates. These individuals can be the biomolecules of gene regulation networks or the number of animals of an ecological population in foodwebs. Understanding the influence of stochasticity is important for assessing the stability of a system or for suppressing fluctuations in synthetic networks. Two important effects of intrinsic stochasticity are the shift of bifurcation points and of the eigenvalues of the stability matrix. Since explicit stochastic simulation is very time-consuming, analytical approaches for evaluating these effects were developed by various groups. We will apply these approaches to small reaction networks consisting of 2-4 nodes, which can be interpreted as foodweb modules or small chemical reaction networks.