Abstract:
Biotin is also called vitamin B7, vitamin B8 or vitamin H. Biotin is a water soluble compound and is colorless in appearance. Overall eight different types of biotin exist but only Biotin-D occurs naturally with its complete vitamin activity. It is mainly synthesized by mold, algae, bacteria, yeast and some plant species. There are different methods used to find the vitamins in nutrients and samples. This article is composed of the comprehensive review of the competitive techniques and various methods for the assay of biotin. High-pressure liquid chromatographic (HPLC), microbiological analysis and HPLC producer are adopted for the determination of biotin. An optimal analytical condition of biotin determination was performed by the HPCL method. The statistical parameters of the HPLC methods were compared and reviewed with other determination.

Abstract:
In this paper, we study quantum corrections to the temperature and entropy of a regular Ay\'{o}n-Beato-Garc\'{\i}a-Bronnikov black hole solution by using tunneling approach beyond semiclassical approximation. We use the first law of black hole thermodynamics as a differential of entropy with two parameters, mass and charge. It is found that the leading order correction to the entropy is of logarithmic form. In the absence of the charge, i.e., $e=0$, these corrections approximate the corresponding corrections for the Schwarzschild black hole.

Abstract:
In this paper, we examine the effects of space noncommutativity on the thermodynamics of a Bardeen charged regular black hole. For a suitable choice of sets of parameters, the behavior of the singularity, horizon, mass function, black hole mass, temperature, entropy and its differential, area and energy distribution of the Bardeen solution have been discussed graphically for both noncommutative and commutative spaces. Graphs show that the commutative coordinates extrapolate all such quantities (except temperature) for a given set of parameters. It is interesting to mention here that these sets of parameters provide the singularity (essential for $r_h>0$) and horizon ($f(r_h)=0$ for $r_h>0$) for the black hole solution in noncommutative space, while for commutative space no such quantity exists.

Abstract:
This paper is devoted to the study of Hawking radiation as a tunneling of charged fermions through event horizons of a pair of charged accelerating and rotating black holes with NUT parameter. We evaluate tunneling probabilities of outgoing charged particles by using the semiclassical WKB approximation to the general covariant Dirac equation. The Hawking temperature corresponding to this pair of black holes is also investigated. For the zero NUT parameter, we find results consistent with those already available in the literature.

Abstract:
In this paper, we study the quantum corrections to the thermodynamical quantities (temperature and entropy) for a Bardeen charged regular black hole by using a quantum tunneling approach over semiclassical approximations. Taking into account the quantum effects, the semiclassical Bekenstein-Hawking temperature and the area law are obtained, which are then used in the first law of thermodynamics to evaluate corrections to these quantities. It is interesting to mention here that these corrections reduce to the corresponding corrections for the Schwarzschild black hole when the charge $e=0$.

Abstract:
The objective of this paper is to study the plane symmetric kinematic self-similar heat conducting fluid and charge dust solutions of the Einstein field equations. These solutions are classified according to self-similarity of the first, second, zeroth and infinite kinds with different equations of state. We take the self-similar vector to be tilted, orthogonal and parallel to the fluid flow. For heat conducting fluid, it is found that there exist only \emph{one} solution in parallel case. In all other possibilities, these solutions reduce to the perfect fluid kinematic self-similar solutions. For charge dust case, we also obtain only \emph{one} kinematic self-similar solution.

Abstract:
The aim of this paper is to study the black hole evaporation and Hawking radiation for a noncommutative charged Vaidya black hole. For this purpose, we determine spherically symmetric charged Vaidya model and then formulate a noncommutative Reissner-Nordstr$\ddot{o}$m-like solution of this model which leads to an exact $(t-r)$ dependent metric. The behavior of temporal component of this metric and the corresponding Hawking temperature is investigated. The results are shown in the form of graphs. Further, we examine the tunneling process of the charged massive particles through the quantum horizon. It is found that the tunneling amplitude is modified due to noncommutativity. Also, it turns out that black hole evaporates completely in the limits of large time and horizon radius. The effect of charge is to reduce the temperature from maximum value to zero. It is mentioned here that the final stage of black hole evaporation turns out to be a naked singularity.

The application of Sobolev gradient methods for finding critical points of the Huxley and Fisher models is demonstrated. A comparison is given between the Euclidean, weighted and unweighted Sobolev gradients. Results are given for the one dimensional Huxley and Fisher models.

Tissue
engineering is a preeminent field which aims to regenerate or repair the
functions of devastated or damaged organs or tissues due to some accident,
disease or age related degeneration. This field provides immense help in saving
lives of thousands of patients. Tissues or organs are engineered within the
patient’s body or in a laboratory, which is later implanted in the patient’s
body. The important challenges for tissue engineers are: appropriate nutrients
supply and optimum cell density with uniform distribution of cells in a final
construct. Mathematical modeling is the best tool in order to understand the
mechanism of cell proliferation and nutrient supply in a bioreactor.
Mathematical models not only help to analyze potentially useful results but
also enlighten the way of further research. In this work, a simple mathematical
model of diffusive nutrient transport and non-linear cell proliferation in a
bioreactor is developed. A cell seeded porous scaffold is kept in a bioreactor
with a fixed nutrient supply. We model the consumption and transport of
nutrients by reaction-diffusion equation and cell proliferation by Fisher
Kolmogorove equation. Nutrient delivery to the cell seeded scaffold is purely
due to diffusion. The model is solved numerically by commercial finite element
solver COMSOL. The results show that all types of constructs, if nutrient
supply depends on diffusion, will produce cell proliferated regions near nutrient
supply. The results are presented for uniform and non-uniform initial cell
seeding strategies. It is also observed that cell proliferation is insensitive
to the initial seeding strategy.

Abstract:
Online Education (OE) system is an
effective and efficient way to perform the education in all sectors of
government and non-government educational organization. Low performance and
minimum speed are major overhead in the current ongoing OE system due to the
increase of users and some system issues. Base on the previous study and recent
practical issues, a model is proposed to Enhancing the Performance of Online
Education System (EPOES) to examine the bare metal virtualization, isolation
and virtual machine templates. Bare metal virtualization has led the native
execution, isolation isolated the running application and Virtual Machine
Template has help to increase efficiency, avoiding the repetitive installation
and operate the server in less time. The proposed model boosts the performance
of the current OE system, and examines the benefits of the adaptation of cloud
computing and virtualization which can be used to overcome the existing
challenges and barriers of the current OE System.