Article
Proof for Minimum Sensitivity of Nested Canalizing Functions, a Fractal Bound, and Implications for Biology.
Physical review letters - 18 Mar 2022
Çoban H, Kabakçıoğlu A
Abstract excerpt
We prove that nested canalizing functions are the minimum-sensitivity Boolean functions for any activity ratio and we determine the functional form of this boundary which has a nontrivial fractal structure. We further observe that the majority of the gene regulatory functions found in known biological networks (submitted to the Cell Collective database) lie on the line of minimum sensitivity which paradoxically...
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