Affine Metrics: An Structure for Unification of?Gravitation and Electromagnetism

This paper is mainly intended to define a mathematical framework for unification of gravity and electromagnetism. The main idea is that affine concepts replace linear concepts in the context of general relativity. First, we introduce affine metrics on affine spaces,and then generalize semi-Riemannian manifolds to affine semi-Riemannian manifolds and investigate their associated connections and geodesics and curvatures. Then we apply these concepts to space-times in order to combine Maxwell’s and Einstein’s field equations into one equation.     

Ion‐pair cloud‐point extraction: A new method for the determination of water‐soluble vitamins in plasma and urine

A novel, simple, and effective ion‐pair cloud‐point extraction coupled with a gradient high‐performance liquid chromatography method was developed for determination of thiamine (vitamin B₁), niacinamide (vitamin B₃), pyridoxine (vitamin B₆), and riboflavin (vitamin B₂) in plasma and urine samples. The extraction and separation of vitamins were achieved based on an ion‐pair formation approach between these ionizable analytes and 1‐heptanesulfonic acid sodium salt as an ion‐pairing agent. Influential variables on the ion‐pair cloud‐point extraction efficiency, such as the ion‐pairing agent concentration, ionic strength, pH, volume of Triton X‐100, extraction temperature, and incubation time have been fully evaluated and optimized. Water‐soluble vitamins were successfully extracted by 1‐heptanesulfonic acid sodium salt (0.2% w/v) as ion‐pairing agent with Triton X‐100 (4% w/v) as surfactant phase at 50°C for 10 min. The calibration curves showed good linearity (r² > 0.9916) and precision in the concentration ranges of 1‐50 μg/mL for thiamine and niacinamide, 5–100 μg/mL for pyridoxine, and 0.5–20 μg/mL for riboflavin. The recoveries were in the range of 78.0–88.0% with relative standard deviations ranging from 6.2 to 8.2%.     

Application of Lie Algebroid Structures to Unification of Einstein and Yang-Mills Field Equations

Yang-Mills field equations describe new forces in the context of Lie groups and principle bundles. It is of interest to know if the new forces and gravitation can be described in the context of algebroids. This work was intended as an attempt to answer last question. The basic idea is to construct Einstein field equation in an algebroid bundle associated to space-time manifold. This equation contains Einstein and Yang-Mills field equations simultaneously. Also this equation yields a new equation that can have interesting experimental results.     

Affine Metrics and Algebroid Structures: Application to General Relativity and Unification

Affine metrics and their associated algebroid bundle are developed. These structures are applied to the general relativity and provide a mathematical structure for unification of gravity and electromagnetism. The final result is a field equation on the associated algebroid bundle that is similar to Einstein field equation but contains Einstein field equation and Maxwell equations simultaneously and contains a new equation that may have new results.     

Type II c-Met inhibitors: molecular insight into crucial interactions for effective inhibition

The c-Met tyrosine kinase plays an important role in human cancers. Preclinical studies demonstrated that c-Met is over-expressed, mutated and amplified in a variety of human tumor types and design of more potent c-Met inhibitors is a priority. In this study, 14 molecular dynamics simulations of potent type II c-Met inhibitors were run to resolve the critical interactions responsible for high affinity of ligands towards c-Met considering the essential flexibility of protein–ligand interactions. Residues Phe1223 and Tyr1159, involved in pi-pi interactions were recognized as the most effective residues in the ligand binding in terms of binding free energies. Hydrogen bond interaction with Met1160 was also found necessary for effective type II ligand binding to c-Met.

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Poly (L-phenylalanine-paired ionic liquid) as halogen-free heterogeneous nanocatalyst toward regiospecific 1,3-dipolar cycloaddition reaction

Although amino acid-paired ionic liquids (IL [AA]) have attracted considerable attention due to their environmental-friendly nature and providing abundant catalytic active sites, polymerized eco-friendly ILs have been rarely reported. Herein, we introduce a novel polymerized L-phenylalanine-paired ionic liquid (PIL [Phe]), synthesized in a new smart manner, as a promising heterogeneous nanocatalyst for regiospecific 1,3-dipolar cycloaddition reaction. For this purpose, new polymerizable ionic liquid (3-(3-aminopropyl)-1-vinylimidazolium (L)-2-amino-3-phenylpropanoate ([AVIm][Phe])) was designed and constructed as a halogen-free multifunctional monomer. The successful fabrication of chiral IL was approved by different techniques including ¹H NMR, FT-IR, and elemental analysis. Next, a green precipitation polymerization approach was applied using a water-soluble initiator under mild conditions. Co₃O₄@PIL [Phe] was synthesized by in situ copolymerization of the [AVIm][Phe] with ethyleneglycoldimethacrylate (EGDMA) (as non-ionic cross-linker) supported on magnetic Co₃O₄@MPS. The obtained data reveal that the supported polymerized form of [AVIm][Phe] is more efficient due to the formation of a porous structure with high-specific surface area (235.5 m²/ g) and a cross-linked network with high thermal stability (35% weight loss around 600 °C). In the following, the proposed Co₃O₄@PIL [Phe] nanostructure was applied as a magnetic catalyst toward the preparation of new and reported pyrrolidinyldispirooxindoles; and it displayed accelerated mass transfer due to its large pore volume (0.85 cm³/ g), and numerous accessible active sites. Consequently, a range of pharmaceutical dispirobisoxindole scaffolds with broad structural diversity were readily obtained in excellent yields (>92%) and high regioselectivity under environmental conditions.