Boolean network models of molecular regulatory networks have been used successfully in
computational systems biology. The Boolean functions that appear in published models tend …

Nested canalizing Boolean functions (NCF) play an important role in biologically motivated
regulatory networks and in signal processing, in particular describing stack filters. It has …

Transcriptional regulation networks are often modeled as Boolean networks. We discuss
certain properties of Boolean functions (BFs), which are considered as important in such …

In this paper, we obtain complete characterization for nested canalyzing functions (NCFs) by
obtaining its unique algebraic normal form (polynomial form). We introduce a new concept …

In this paper we generate upper and lower bounds for the sensitivity to noise of a Boolean
function using relaxed assumptions on input choices and noise. The robustness of a …

Cells of living organisms and their interactions are highly complex biochemical systems. By
mutual interference genes build connected networks, called gene regulatory networks, to …

Random Boolean networks are considered. It is shown that when using a certain class of
distributions on the set of Boolean functions to construct the network, the expectation of the …

A feedback control scheme to shift the phase of random boolean networks (RBNs) from
disorder to order is proposed. A Jacobian matrix is calculated based on the state and …