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amadeus

08/05/14 11:57 AM

#3061 RE: amadeus #3060

found some phd research by someone with that name,

not sure what it means

http://arxiv.org/pdf/1111.2759.pdf

Nested Canalyzing Depth and Network Stability
Lori Layne Elena Dimitrova Matthew Macauley
November 14, 2011
Abstract
We introduce the nested canalyzing depth of a function, which measures the extent
to which it retains a nested canalyzing structure. We characterize the structure of
functions with a given depth and compute the expected activities and sensitivities of
the variables. This analysis quantifies how canalyzation leads to higher stability in
Boolean networks. It generalizes the notion of nested canalyzing functions (NCFs),
which are precisely the functions with maximum depth. NCFs have been proposed as
gene regulatory network models, but their structure is frequently too restrictive and
they are extremely sparse. We find that functions become decreasingly sensitive to
input perturbations as the canalyzing depth increases, but exhibit rapidly diminishing
returns in stability. Additionally, we show that as depth increases, the dynamics
of networks using these functions quickly approach the critical regime, suggesting
that real networks exhibit some degree of canalyzing depth, and that NCFs are not
significantly better than functions of sufficient depth for many applications of the
modeling and reverse engineering of biological networks.

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cjayjoseph

08/05/14 7:48 PM

#3071 RE: amadeus #3060

Hmm... Think it had anything to do with mj?