Exploring q-Bernstein-Bézier surfaces in Minkowski space: Analysis, modeling, and applications.

In this paper, we examine q-Bernstein-Bézier surfaces in Minkowski space-[Formula: see text] with q as the shape parameter. These surfaces, a generalization of Bézier surfaces, have applications in mathematics, computer-aided geometric design, and computer graphics for the surface formation and modeling. We analyze the timelike and spacelike cases of q-Bernstein-Bézier surfaces using known boundary control points. The mean curvature and Gaussian curvature of these q-Bernstein-Bézier surfaces are computed by finding the respective fundamental coefficients. We also investigate the shape operator dependency for timelike and spacelike q-Bernstein-Bézier surfaces in Minkowski space-[Formula: see text], and provide biquadratic and bicubic q-Bernstein-Bézier surfaces as illustrative examples for different values of the shape controlling parameter q.

Geometric analysis of non-degenerate shifted-knots Bézier surfaces in Minkowski space.

In this paper, we investigate the properties of timelike and spacelike shifted-knots Bézier surfaces in Minkowski space-[Formula: see text]. These surfaces are commonly used in mathematical models for surface formation in computer science for computer-aided geometric design and computer graphics, as well as in other fields of mathematics. Our objective is to analyze the characteristics of timelike and spacelike shifted-knots Bézier surfaces in Minkowski space-[Formula: see text]. To achieve this, we compute the fundamental coefficients of shifted-knots Bézier surfaces, including the Gauss-curvature, mean-curvature, and shape-operator of the surface. Furthermore, we present numerical examples of timelike and spacelike bi-quadratic (m = n = 2) and bi-cubic (m = n = 3) shifted-knots Bézier surfaces in Minkowski space-[Formula: see text] to demonstrate the applicability of the technique in Minkowski space.

Metabolites in Conocarpus erectus leaves attenuate α-amylase activity by modulating amino acid residues of α-amylase: an in vitro and docking study / Los metabolitos en las hojas de Conocarpus erectus atenúan la actividad de la α-amilasa al modular los residuos de aminoácidos de la α-amilasa: un estudio in vitro y de acoplamiento

The antioxidant activity and the inhibitory potential of α-amylase of lyophilized hydroethanolic extracts of Conocarpus erectus leaves obtained by ultrasonication were determined. The most potent extract was subjected to ultra-high performance liquid chromatography system equipped with mass spectrometer for metabolite identification. The identified metabolites were docked in α-glucosidase to assess their binding mode. The results revealed that 60% ethanolic extract exhibited highest ferric reducing antioxidant power (4.08 ± 0.187 mg TE/g DE) and α-amylase inhibition (IC50 58.20 ± 1.25 µg/mL. The metabolites like ellagic acid, 3-O-methyl ellagic acid, ferujol, 5, 2 ́-dihydroxy-6,7,8-trimethyl flavone and kaempferol glucoside were identified in the extract and subjected to molecular docking studies regarding α-amylase inhibition. The comparison of binding affinities revealed 3-O-methyl ellagic acid as most effective inhibitor of α-amylase with binding energy of -14.5911 kcal/mol comparable to that of acarbose (-15.7815 kcal/mol). The secondary metabolites identified in the study may be extended further for functional food development with antidiabetic properties.

Se determinó la actividad antioxidante y el potencial inhibidor de la α-amilasa de extractos hidroetanólicos liofilizados de hojas de Conocarpus erectus obtenidos por ultrasónicación. El extracto más potente se sometió a un sistema de cromatografía líquida de ultra alto rendimiento equipado con un espectrómetro de masas para la identificación de metabolitos. Los metabolitos identificados se acoplaron en α-glucosidasa para evaluar su modo de unión. Los resultados revelaron que el extracto etanólico al 60% exhibió el mayor poder antioxidante reductor férrico (4.08 ± 0.187 mg TE/g DE) e inhibición de la α-amilasa (IC50 58.20 ± 1.25 µg/mL. Los metabolitos como el ácido elágico, 3-O-metil elágico ácido, ferujol, 5, 2 ́-dihidroxi-6,7,8-trimetil flavona y kaempferol glucósido se identificaron en el extracto y se sometieron a estudios de acoplamiento molecular con respecto a la inhibición de la α-amilasa. La comparación de las afinidades de unión reveló 3-O-metil El ácido elágico como inhibidor más eficaz de la α-amilasa con una energía de unión de -14,5911 kcal/mol comparable a la de la acarbosa (-15,7815 kcal/mol). Los metabolitos secundarios identificados en el estudio pueden ampliarse aún más para el desarrollo funcional de alimentos con propiedades antidiabéticas.

In vitro pharmacological attributes and metabolite's fingerprinting of Conocarpus lancifolius / Atributos farmacológicos in vitro y huellas dactilares de metabolitos de Conocarpus lancifolius

Search for safe antioxidants and novel nutraceuticals urged to evaluate the antioxidant, anti-acetylcholine esterase and anti-lipoxygenase activity of various leaf extracts of Conocarpus lancifolius. Extraction was optimized from freeze dried plant extracts quenched with liquid nitrogen using water, ethanol, methanol, hexane, ethyl acetate and chloroform. Maximum extract yield, total phenolic contents and total flavonoid contents were obtained in case of ethanolic extraction. The highest 2,2-diphenyl-1-picrylhydrazylradical scavenging in terms of IC50 value of 55.26 µg/mL was observed for ethanolic leaf extract. The acetylcholine esterase and lipoxygenase inhibitory activities (IC50) were also observed for ethanolic extract. These findings for ethanolic extract were statistically significant when compared with other extracts (ρ<0.05). The haemolytic % values indicated that all extracts were associated with very low or negligible toxicity. The epicatechin, isorhamnetin, rutin, scopoleptin, skimmianine, quercetin-3-O-α-rhamnoside, quercetin-3-O-ß-glucoside, cornoside, creatinine, choline, pyruvic acid, α-hydroxybutyric acid, phyllanthin and hypophyllanthin were identified as major functional metabolites in ethanolic leaf extract of C. lancifoliusby 1H-NMR. The identified metabolites were probably responsible for the pharmacological properties of C.lancifolius. The findings may be utilized as pharmacological leads for drug development and food fortification.

Se insta a la búsqueda de antioxidantes seguros y nuevos nutracéuticos para evaluar la actividad antioxidante, anti-acetilcolina esterasa y anti-lipoxigenasa de varios extractos de hojas de Conocarpus lancifolius. La extracción se optimizó a partir de extractos de plantas liofilizados enfriados con nitrógeno líquido usando agua, etanol, metanol, hexano, acetato de etilo y cloroformo. En el caso de extracción etanólica se obtuvo el rendimiento máximo de extracto, el contenido de fenoles totales y el contenido de flavonoides totales. La mayor eliminación de radicales 2,2-difenil-1-picrilhidrazilo en términos de valor de CI50 de 55,26 µg/mL se observó para el extracto de hoja etanólico. También se observaron las actividades inhibidoras de la acetilcolina esterasa y lipoxigenasa (CI50) para el extracto etanólico. Estos hallazgos para el extracto etanólico fueron estadísticamente significativos en comparación con otros extractos (ρ<0.05). Los valores del % hemolítico indicaron que todos los extractos estaban asociados con una toxicidad muy baja o insignificante. Se identificaron la epicatequina, isorhamnetina, rutina, escopoleptina, skimmianina, quercetina-3-O-α-ramnosido, quercetina-3-O-ß-glucósido, cornosido, creatinina, colina, ácido pirúvico, ácido α-hidroxibutírico, filantrina e hipofillantina. como metabolitos funcionales principales en el extracto etanólico de hojas de C. lancifoliuspor 1H-NMR. Los metabolitos identificados probablemente fueron responsables de las propiedades farmacológicas de C. lancifolius. Los hallazgos pueden utilizarse como pistas farmacológicas para el desarrollo de fármacos y la fortificación de alimentos.