Related Problems: Consistency and Stability of Networks

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Along with the identification of the gene regulatory network , there exist several important problems. Here we observe two of them.

1.: The consistency problem: given a network G'(V',F'), check whether or not this network coincides with an underlying gene regulatory network G(V,F), that is not given explicitly.
$\begin{theorem} {Exponential number of experiments are necessary and sufficient to check the consistency of a given gene regulatory network. } \end{theorem}$
2.: The stability problem: given a network G(V,F), check whether or not it is stable (in a native state), that means, there is a global state consistent with all gene regulation rules.
$\begin{theorem} {Testing the stability of a given gene regulatory network under an experiment is {\em NP-complete}.} \end{theorem}$

Peer Itsik
2001-03-04