On Existence of Coincidence and Common Fixed Points for Weakly Compatible Self Maps in Normed Boolean Vector Space

In this paper we discuss existence of coincidence and common fixed points for two pairs of weakly compatible self maps in Normed Boolean Vector Space. Our results extend and improve the results of Mishra et al. [8] and others existing in the literature. Some illustrative examples to highlight the validity of obtained results are also furnished. Keywords: Weakly compatible maps, coincidence point, common fixed point, Normed Boolean vector space, Boolean metric

Mango (Mangifera indica L.) Leaves: Nutritional Composition, Phytochemical Profile, and Health-Promoting Bioactivities

Mangifera indica L. belongs to the family of Anacardiaceae and is an important fruit from South and Southeast Asia. India, China, Thailand, Indonesia, Pakistan, Mexico, Brazil, Bangladesh, Nigeria, and the Philippines are among the top mango producer countries. Leaves of the mango plant have been studied for their health benefits, which are attributed to a plethora of phytochemicals such as mangiferin, followed by phenolic acids, benzophenones, and other antioxidants such as flavonoids, ascorbic acid, carotenoids, and tocopherols. The extracts from mango leaves (MLs) have been studied for their biological activities, including anti-cancer, anti-diabetic, anti-oxidant, anti-microbial, anti-obesity, lipid-lowering, hepato-protection, and anti-diarrheal. In the present review, we have elaborated on the nutritional and phytochemical profile of the MLs. Further, various bioactivities of the ML extracts are also critically discussed. Considering the phytochemical profile and beneficial effects of the MLs, they can be used as a potential ingredient for the development of functional foods and pharmaceutical drugs. However, more detailed clinical trials still needed to be conducted for establishing the actual efficacy of the ML extracts

Custard Apple (Annona squamosa L.) Leaves: Nutritional Composition, Phytochemical Profile, and Health-Promoting Biological Activities

Annona squamosa L. (custard apple) belongs to the family Annonaceae and is an important tropical fruit cultivated in the West Indies, South and Central America, Ecuador, Peru, Brazil, India, Mexico, the Bahamas, Bermuda, and Egypt. Leaves of custard apple plants have been studied for their health benefits, which are attributed to a considerable diversity of phytochemicals. These compounds include phenol-based compounds, e.g., proanthocyanidins, comprising 18 different phenolic compounds, mainly alkaloids and flavonoids. Extracts from Annona squamosa leaves (ASLs) have been studied for their biological activities, including anticancer, antidiabetic, antioxidant, antimicrobial, antiobesity, lipid-lowering, and hepatoprotective functions. In the current article, we discussed the nutritional and phytochemical diversity of ASLs. Additionally, ASL extracts were discussed with respect to their biological activities, which were established by in vivo and in vitro experiments. A survey of the literature based on the phytochemical profile and health-promoting effects of ASLs showed that they can be used as potential ingredients for the development of pharmaceutical drugs and functional foods. Although there are sufficient findings available from in vitro and in vivo investigations, clinical trials are still needed to determine the exact effects of ASL extracts on human health

An efficient technique based on Green’s function for solving two-point boundary value problems and its convergence analysis.

[EN]This study proposes an accurate approximation to the solution of second-order nonlinear two-point boundary value problems, including the well-known Bratu problem, using an iterative technique based on Green’s function. The approach relies on constructing an equivalent integral representation of the problem incorporating Green’s function. The proposed methodology provides a reliable approximate solution and takes just a few iterations to achieve good accuracy. The mathematical formulation is further supported by discussing in detail the convergence analysis of this approach. Different numerical examples are used to check the robustness and effectiveness of the scheme. The numerical testing for nonlinear problems with nonlinear boundary conditions demonstrates that the proposed method outperforms other existing methods, including the finite element method, the finite volume method, the finite difference method, the B-spline method, and the Adomain’s decomposition method

Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier.

[EN]The variational iteration method (VIM) has been in the last two decades, one of the most used semi-analytical techniques for approximating nonlinear differential equations. The notion of VIM is based on the identification of the Lagrange multiplier using the variational theory. The performance of the method is highly dependent on how the Lagrange multiplier is determined. In this paper, a novel method for calculating the Lagrange multiplier is provided, making the VIM more efficient in solving a variety of nonlinear problems. To illustrate the effectiveness of the new approach, a standard nonlinear oscillator problem is tested and the results demonstrate that only one iteration leads to an excellent outcome

Development of a new iterative method and its convergence analysis for nonlinear fourth‐order boundary value problems arising in beam analysis.

[EN]In this study, an effective iterative technique based on Green's function is proposed to solve a nonlinear fourth-order boundary value problem (BVP) with nonlinear boundary conditions, which models an elastic beam. An iterative Green's function approach and a shooting method are integrated in the proposed method. The mathematical derivation is further supported by examining the convergence analysis of the proposed method. The iterative method rapidly generates a convergent series solution to the given problem. The proposed method has many advantages over existing methods: (a) A rapid convergence and (b) the ability to generate a highly accurate series solution with just a few iterations for complex problems arising in elastic beam. To demonstrate the applicability and effectiveness of the proposed method, four numerical examples are tested. The numerical results show that our methodology delivers more efficient results compared to other existing methods

Recombinase polymerase amplification in minimally buffered conditions

Application of recombinase polymerase amplification (RPA) for pH-based detection of DNA amplification has been investigated. Commercial RPA kits from TwistDx are modified to minimize their pH buffering capacity. Due to the RPA's unique biochemistry, removal of tris from the amplification kit is not enough to lower the buffering capacity of the RPA assay. Even in the absence of tris, RPA components in the commercial kit intrinsically buffer the pH. We show different strategies to minimize the buffering capacity of the RPA kit, while maintaining the amplification efficiency. Even in minimally buffered conditions, it is noticed that RPA's amplification yield is not high enough to overcome the assay's intrinsic buffering capacity. The effect of pyrophosphate precipitation in RPA on the reaction's pH have also been addressed. In conclusion, this work highlights strategies and considerations for the development of pH-based assays from nucleic acid amplification methods which involve ancillary enzymes that catalyze nucleotide hydrolysis

Vertical versus lateral tunneling FET non-volatile memory cell

This work reports a comparison of high-k AbO(3)/HfO2/Al2O3 dielectric stack Tunnel FETs with both vertical tunneling and lateral tunneling, as non-volatile memory (NVM) cells. Tunnel FET NVM are fabricated and characterized to evaluate their potential as low power memory operation. These memory cells can be programmed with voltages from -10V to -15V (p type devices) and show extremely stable memory hysteresis up 400K with very low leakage. We experimentally show that, in strong contrast with conventional lateral tunneling TFET, the vertical tunneling TFET based NVM memory has a much higher memory window (V-T shift) due to excellently aligned gate field and tunneling path in the latter case

Integration of Ultra-Low Volume Pneumatic Microfluidics with a Three-Dimensional Electrode Network for On-Chip Biochemical Sensing

This paper reports a novel miniaturized pseudo reference electrode (RE) design for biasing Ion Sensitive Field Effect Transistors (ISFETs). It eliminates the need for post-CMOS processing and can scale up in numbers with the CMOS scaling. The presented design employs silane-mediated transfer of patterned gold electrode lines onto PDMS microfluidics such that the gold conformally coats the inside of microfluidic channel. Access to this electrode network is made possible by using “through-PDMS-vias” (TPV), which consist of high metal-coated SU-8 pillars manufactured by a novel process that employs a patterned positive resist layer as SU-8 adhesion depressor. When integrated with pneumatic valves, TPV and pseudo-RE network were able to bias 1.5 nanoliters (nL) of isolated electrolyte volumes. We present a detailed characterization of our pseudo-RE design demonstrating ISFET operation and its DC characterization. The stability of pseudo-RE is investigated by measuring open circuit potential (OCP) against a commercial Ag/AgCl reference electrode