Publications - Published papers

Please find below publications of our group. Currently, we list 500 papers. Some of the publications are in collaboration with the group of Sonja Prohaska and are also listed in the publication list for her individual group. Access to published papers (access) is restricted to our local network and chosen collaborators. If you have problems accessing electronic information, please let us know:

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Stability of Boolean and continuous dynamics

Fakhteh Ghanbarnejad, Konstantin Klemm

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Phys. Rev. Lett. 107: 188701 (2011)

Abstract


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.

Keywords


Regulatory networks, Boolean dynamics, stability

Note


also at http://arxiv.org/abs/1103.4490