Publications - Published papers
Please find below publications of our group. Currently, we list 565 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 (
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) is restricted to our local network and chosen collaborators.
If you have problems accessing electronic information, please let us know:webmaster@bioinf.uni-leipzig.de
©NOTICE: All papers are copyrighted by the authors; If you would like to use all or a portion of any paper, please contact the author.
Stability of Boolean and continuous dynamics
Fakhteh Ghanbarnejad, Konstantin Klemm
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Status: Published
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