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BP: Fachverband Biologische Physik

BP 29: Networks – Statistics and Dynamics (joint DY/BP/SOE)

BP 29.9: Vortrag

Mittwoch, 2. April 2014, 17:15–17:30, ZEU 118

Stability of Boolean and continuous dynamics — •Fakhteh Ghanbarnejad¹ and Konsatntin Klemm^2,3 — ¹Max-Planck-Institut für Physik komplexer Systeme, Dresden, Germany — ²Bioinformatics, Institute for Computer Science, University of Leipzig, Germany — ³Institute for Theoretical Chemistry, University of Vienna, Austria

Regulatory dynamics in biology is often described by continuous rate equations for continuously varying chemical concentrations. Binary discretization of state space and time leads to Boolean dynamics. In the latter, the dynamics has been called unstable if flip perturbations lead to damage spreading. Here, we find that this stability classification strongly differs from the stability properties of the original continuous dynamics under small perturbations of the state vector. In particular, random networks of nodes with large sensitivity yield stable dynamics under small perturbations. (Phys. Rev. Lett. 107, 188701 (2011))