On sets of irreducible polynomials closed by composition

Let $\mathcal S$ be a set of monic degree $2$ polynomials over a finite field and let $C$ be the compositional semigroup generated by $\mathcal S$. In this paper we establish a necessary and sufficient condition for $C$ to be consisting entirely of irreducible polynomials. The condition we deduce depends on the finite data encoded in a certain graph uniquely determined by the generating set $\mathcal S$. Using this machinery we are able both to show examples of semigroups of irreducible polynomials generated by two degree $2$ polynomials and to give some non-existence results for some of these sets in infinitely many prime fields satisfying certain arithmetic conditions

Determination of methylparaben from cosmetic products by ultra performance liquid chromatography

A new method for the determination of methylparaben by ultra-performance liquid chromatography (UPLC) was developed. Methylparaben is often used as preservative, alone or in combination with other parabens, being added to cosmetic products, pharmaceutical products and foods to avoid microbial contamination. Due to its widespread use and potential risk to human health, assessing human exposure to this compound is of interest. A good determination and quantification of methylparaben was developed with a gradient elution using a mixture of methanol and water (60:40, v/v) within 1.455 min. Under optimized conditions, the linear working range extends over two orders of magnitude with relative standard deviations of intra- and inter-day precision below 2.3 %, and a detection limit of 0.02 ng μL-1 for methylparaben. The proposed method was successfully applied to the assay of methylparaben in cosmetic products with minimal sample preparation

Spectral SAR Ecotoxicology of Ionic Liquids: The Daphnia magna

Aiming to provide a unified theory of ionic liquids ecotoxicity, the recent spectral structure activity relationship (S-SAR) algorithm is employed for testing the two additive models of anionic-cationic interaction containing ionic liquid activity: the causal and the endpoint, |0+〉 and |1+〉 models, respectively. As a working system, the Daphnia magna ecotoxicity was characterized through the formulated and applied spectral chemical-ecobiological interaction principles. Specific anionic-cationic-ionic-liquid rules of interaction along the developed mechanistic hypersurface map of the main ecotoxicity paths together with the so-called resonance limitation of the standard statistical correlation analysis were revealed

Alert-QSAR. Implications for Electrophilic Theory of Chemical Carcinogenesis

Given the modeling and predictive abilities of quantitative structure activity relationships (QSARs) for genotoxic carcinogens or mutagens that directly affect DNA, the present research investigates structural alert (SA) intermediate-predicted correlations ASA of electrophilic molecular structures with observed carcinogenic potencies in rats (observed activity, A = Log[1/TD50], i.e., ASA=f(X1SA,X2SA,…)). The present method includes calculation of the recently developed residual correlation of the structural alert models, i.e., ARASA=f(A−ASA,X1SA,X2SA,…). We propose a specific electrophilic ligand-receptor mechanism that combines electronegativity with chemical hardness-associated frontier principles, equality of ligand-reagent electronegativities and ligand maximum chemical hardness for highly diverse toxic molecules against specific receptors in rats. The observed carcinogenic activity is influenced by the induced SA-mutagenic intermediate effect, alongside Hansch indices such as hydrophobicity (LogP), polarizability (POL) and total energy (Etot), which account for molecular membrane diffusion, ionic deformation, and stericity, respectively. A possible QSAR mechanistic interpretation of mutagenicity as the first step in genotoxic carcinogenesis development is discussed using the structural alert chemoinformation and in full accordance with the Organization for Economic Co-operation and Development QSAR guidance principles

Biochemical characterization of chitinase A from Bacillus licheniformis DSM8785 expressed in Pichia pastoris KM71H

Chitin is an abundant biopolymer found mainly in the exoskeleton of crustaceans and insects. The degradation of chitin using chitinases is one way to address the accumulation of chitin waste streams in the environment, and research has therefore focused on the identification, improvement and expression of suitable enzymes. Here we describe the production, purification and characterization of Bacillus licheniformis chitinase A in the Pichia pastoris expression system. Optimal enzyme activity occurred at pH 4.0–5.0 and within the temperature range 50–60 °C. With colloidal chitin as the substrate, the Km (2.307 mM) and Vmax (0.024 mM min−1) of the enzyme were determined using a 3,5-dinitrosalicylic acid assay. The degradation products of colloidal chitin and hexa-N-acetylchitohexaose were compared by thin-layer chromatography. The activity of the glycosylated enzyme produced in P. pastoris was compared with the in vitro deglycosylated and aglycosylated version produced in Escherichia coli. We showed that the glycosylated chitinase was more active than the deglycosylated and aglycosylated variants. © 2018 Elsevier Inc.Peer reviewed manuscript: [http://cherry.chem.bg.ac.rs/handle/123456789/2798

Full Analytic Progress Curves of Enzymic Reactions in Vitro

Assuming the in vitro conditions for the enzyme-catalyzed reactions, the basic Michaelis-Menten description is modified in a logistic (mathematical) manner such that the inherent limitations that appear in the previous method are removed. Beside its generality, the reliability of the present approach is proved through applications on the competitive multi- and bi- substrate enzyme catalyses

Optimized synthesis of O-carboxymethyl-N,N,N-trimethyl chitosan.

We present here the synthesis of a highly O-carboxymethylated chitosan derivative. First, an improved protocol for the two-step synthesis of N-trimethyl chitosan (TMC) from chitosan was developed, yielding a maximum degree of quaternization (DQ) of up to 46.6%. Successively, the chitosan derivative O-carboxymethyl-N-trimethyl chitosan (CMTMC) was synthesized from the TMC obtained by applying an optimized synthesis pathway. In contrast to previous reports, the optimized protocol was shown to yield very high rates (>85%) of O-carboxymethylation of CMTMC, as shown by (1)H NMR and heteronuclear single quantum correlation ((1)H-(13)C HSQC). Finally, in vitro cytocompatibility (viability >80%) of the polymer was demonstrated using human fibroblasts

Polyelectrolyte nanocomplexes based on chitosan derivatives for wound healing application.

Wound healing, when compromised, may be guided by biological cues such as Arg-Gly-Asp (RGD), a peptide known to induce cell adhesion and migration, eventually combined with adapted nanocarriers. Three different formulations were prepared and investigated in vitro for topical application. All formulations were based on carboxylated and trimethylated chitosan (CMTMC) displaying RGD. The polyelectrolyte nanocomplexes were prepared by mixing two oppositely charged polymers of CMTMC and chondroitin sulfate at different polymer ratios and subsequently characterized by dynamic light scattering and scanning electron microscopy. Hydrogels and foams with a high concentration of RGD-functionalized chitosan (3%) and hyaluronic acid (1.5%) that formed gel-embedded nanocomplexes were developed. In vitro assays showed absence of toxicity, ability to promote proliferation over 7 days and promotion of migration of human dermal fibroblasts treated with any of our formulations. These formulations were shown to be suitable for easy topical application and have the potential to accelerate wound healing