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Quorum sensing (QS) is a system of stimuli and responses in bacterial cells governed by their population density, through which they regulate genes that control virulence factors and biofilm formation. Despite considerable research on QS and the discovery of new antibiotics, QS-controlled biofilm formation by microorganisms in clinical settings has remained… (More)
Given two non-weakly k-normal Boolean functions on n variables a method is proposed to construct a non-weakly (k + 1)-normal Boolean function on (n + 2)-variables.
In this paper we construct a multiset S(f) of a Boolean function f consisting of the weights of the second derivatives of the function f with respect to all distinct two-dimensional subspaces of the domain. We refer to S(f) as the second derivative spectrum of f. The frequency distribution of the weights of these second derivatives is referred to as the… (More)
It is proved that no non-quadratic Kasami bent is affine equivalent to Maiorana-MacFarland type bent functions.
Inter and intracellular communication in bacteria, which is known as quorum sensing (QS), is mediated by small diffusible signaling molecules known as autoinducers. QS regulates various virulence factors responsible for pathogenesis. Increasing resistance of microorganisms against traditional antibiotics has turned the focus towards the QS as it exerts less… (More)
A new invariant of the set of n-variable Boolean functions with respect to the action of AGL(n, 2) is studied. Application of this invariant to prove affine nonequiv-alence of two Boolean functions is outlined. The value of this invariant is computed for P S ap type bent functions.
Pseudomonas aeruginosa has evolved the 3-oxo-C12-HSL and C4-HSL based quorum sensing system which is responsible for the regulation of various virulence factors and helps to dominates over other bacterial species. Staphylococcus epidermidis has frequently been reported with P. aeruginosa while the role of C4-HSL and 3-oxo-C12-HSL on the S. epidermidis had… (More)