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 (
) is restricted to our local network and chosen collaborators.
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) is restricted to our local network and chosen collaborators.
If you have problems accessing electronic information, please let us know:©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.
Impact of individual nodes in Boolean network dynamics
Fakhteh Ghanbarnejad, Konstantin Klemm
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Status: Published
Europhysics Letters 99:58006 (2012)
Abstract
Boolean networks serve as discrete models of regulation and
signaling in biological cells. Identifying the key controllers of such processes
is important for understanding the dynamical systems and planning further analysis. Here
we quantify the dynamical impact of a node as the probability of damage
spreading after switching the node's state. We find that the leading eigenvector
of the adjacency matrix is a good predictor of dynamical impact in the case of
long-term spreading. This so-called eigenvector centrality is also a
good proxy measure of the influence a node's initial state has on the attractor
the system eventually arrives at. Quality of prediction is further improved when
eigenvector centrality is based on the weighted matrix of activities rather than
the unweighted adjacency matrix. Simulations are performed with ensembles of
random Boolean networks and a Boolean model of signaling in fibroblasts. The
findings are supported by analytic arguments from a linear approximation of
damage spreading.
Note
http://arxiv.org/abs/1111.5334