Application of Univariate Probability Distributions Fitting With Monte Carlo Simulation

In this study, we present a univariate probability distribution through application of the three Sub and Super Exponential heavier-longer and lighter-shorter tails fitting. This univariate family includes the Lognormal, Gamma and Weibull distribution, the adequacy of the distribution tails is obtained by adequate Fitting Tests and descriptive Criterion. It emphasizes on tail values and is independent of the number of intervals. In this regards the time series analysis for the last three centuries of the logarithm population data sets over to Karachi region (from1729 to1946 and from 1951 to 2018) is used, which contains irregular and regular length and peaks, That peaks /tails fitting is attained by methods for validation and normality tests and defined by stochastic depiction. In other hand, Weibull and Lognormal distribution tails are found as heavier distribution by two validation tests (Maximum Likelihood Estimation and probability of correct selection), In the final section, the univariate probability distributions are used to Monte Carlo simulation for generating the actual population data, it indicates that the heavy-tailed Lognormal and Weibull distributions are also fitted contract than the more commonly seen lighter tailed Gamma distribution. So, the Monte Carlo Simulation performs the appropriate Lognormal and Weibull distributions for irregular and regular data and generate data values (298 and 69) from duration of 1729 to 2020 and 1951 to 2020. Copyright(c) The Author

Numerical Solution with Non-Polynomial Cubic Spline Technique of Order Four Homogeneous Parabolic Partial Differential Equations

An innovative technique of NPCS are being used in engineering, computer sciences and natural sciences field to solve PDEs and ODEs Problems. There are many problems not having exact solution or not much stable and convergent exact solution, to solve such problem one apply different approximation, iterative and many other methods. The developed technique is one of them and implemented on some homogeneous parabolic PDEs of different dimensions and getting results will compare with exact solution and one other existing method, by tabular and graphically as well. Graphs and Mathematical result are found by using MATHEMATICA. Copyright(c) The Authors

Role of Polyphenols in Preventing Prostate Cancer Cell Growth by Calcium Channel Blockers: A Review

Prostate cancer (PCa) is the second most widely diagnosed cancer in men and the sixth leading cause of cancer death. Signal transductions are always linked with cancers, and phytochemicals play a predominantly striking role in chemo preventions. We specifically focused on the researches which have been done in last twenty year by using different search engines including Google Scholar, PubMed, Web of Sciences and Scopus. An increasing number of studies have looked into the role of polyphenols on prostate cancer cell growth, highlighting their ability to target various cellular mechanisms. In this review, we picked out and found the potential role of polyphenols in targeting prostate cancer through calcium channel blockers and concluded that polyphenols are the primary chemo-preventive agents for prostate cancer. Copyright(c) The Author

Solution of Parabolic Partial Differential Equations by Non-Polynomial Cubic Spline Technique

Parabolic partial differential equation having a great impact on our scientific, engineering and technology. Enormous research have been conducted for the solution of parabolic PDEs. . In this research work, we introduced a novel technique for the numerical solution of fourth order PDEs. The novel technique is based upon the polynomial cubic cutting method (PCSM) was used with Adomian breakdown technique (ADM).The constraint for the alternative variables was decomposed by Edomian decomposition for the successive approximation. A numerical test problem of parabolic PDEs solved by purposed technique

The Construction of Polynomial Spiral Segment Using Cubic Ball Basis Functions

B-splines, Bezier, Ball curves and NURBS (non-uniform rational B-splines) are commonly used in CADand CAGD applications. Unfortunately their fairness is not guaranteed. Spiral segments help us in designingimproved form of curves called fair curves. Such fair curves are useful in sophisticated applications such asdesign of routes of high ways and railways and mobile robot trajectories. In this paper we have developed thepolynomial cubic Ball spiral segment with degree of freedom. The effect of shape parameters is also observed.In the end results are represented in graphical form.

Computing Novel Multiplicative Zagreb Connection Indices of Metal Organic Networks

Metal organic networks (MONs) are defined as one, two and three dimensional unique complex structures of porous material and subclass of polymer’s coordination. These networks also show extreme surface area, morphology, excellent chemical stability, large pore volume, highly crystalline materials. The major advantages of MONs are tailorability, structural diversity, versatile applications, highly controllable nano-structures and functionality. So, the multi-functional applications of these MONs are made them more helpful tools in many fields of science in recent decade. In this paper, we light on the two different MONs with respect to the number of increasing layers of metal and organic ligands together. We define the novel multiplicative Zagreb connection indices (ZCIs) such that multiplicative fourth ZCI and multiplicative fifth ZCI. We also compute the main results for multiplicative Zagreb connection indices of two different MONs (zinc oxide and zinc silicate).

Phytochemistry of Allium cepa L. (Onion): Its Nutritional and Pharmacological Importance

The present study was conducted to review the phytochemical composition, nutritional and pharmacological values of Allium cepa L. (Onion). Attempts have been made to compile the findings of 75 articles into a single manuscript. Onion is cultivated all over the world. The onion bulbs are comprised of polysaccharides including peptides, fructans, flavonoids (mostly quercetin), saccharose and organosulfur compounds having salutary effects on human health. The onion in the diet gives us a positive response in nutritional manner. The nutritional contents of onion bulb are crude oil, vitamin E, sodium, potassium, and zinc. The onion bulb has the potential to reduce the problem of stomach cancer, osteoporosis, and brain cancer in human beings. In addition, onion is antidiabetic, anti-inflammatory, anti-scar, antispasmodic, antiseptic, anti-genotoxic, anti-mutagenic, diuretic,anti-parasitic, antimicrobial, antipyretic, and Analgesic.

Improving Clinical dosimetric Accuracy of cancer treatment using a special quality of Electron and Photon Beam

In external beam radiation therapy, electron and photon beams have extraordinary characteristics in the treatment of cancer. The electron and photon beam characteristic are essential to study before calibration of machine. This study focused on the dosimetric characteristics of different energies of electron beams for different field size. The basic objective of this work is, to calculate dosimetric parameters and characteristics of electron beam, specially depth dose characteristics along central axis. In this work, 6 MeV, 9 MeV, 12 MeV, 15 MeV and 18 MeV of electron beam and 6 MV and 15 MV of photon beam with different field size is used. Characteristics of depth dose of electron and photon beam in water have analyzed to provide better quality of radiation therapy treatment planning. The different beam characteristics are due to different interactions that occurs between electron beams giving them a definite range whereas photon beams are attenuated leading to dose deposition and much larger range with no definite end. Depth dose characteristics of electron and photon beams do not show same characteristics as interaction of beam with matter depends on the quality of beam. Attenuation and penetration factors change with changing dosimetric parameters. Complete analysis of dosimetric characteristics of electron and photon beam help to choose more accurate beam for the treatment of cancer. This work will help to increase accuracy in treatment of cancer with radiotherapy.

A three-player gambler's ruin problem: some extensions

For the expected ruin time of the classic three-player symmetric game, Sandell derived a general formula by introducing an appropriate martingale and stopping time. For the case of asymmetric game, the martingale approach is not valid to determine the ruin time. In general, the ruin probabilities for both cases, i.e. symmetric and asymmetric game and expected ruin time for asymmetric game are still awaiting to be solved for this game. The current work is also about three-player gambler’s ruin problem with some extensions as well. We provide expressions for the ruin time with (without) ties when all the players have equal (unequal) initial fortunes. Finally, the validity of asymmetric game is also tested through a Monte Carlo simulation study.

Assessment of quality parameters of underground drinking water from Diplo Area of Sindh

The present study aims to determine the quality parameters of drinking water of rural Tharparkar i.e., Diplo area. The quality parameters examined in water samples were pH, TDS, and EC. A total of 20 samples were collected randomly from different sources of drinking water (dug well and hand pump water) from Diplo Sub District of Tharparkar. Results showed that water samples of hand pump source have elevated quality parameters (i.e., pH range was 5.7-6.0 and TDS range was 1579-2120mg/L) as compared to well water samples (i.e., pH range was 5.09-6.60 and TDS range was 497-1182mg/L). Therefore, it is concluded that as per guidelines of WHO and EPA, water from well sources is somehow good to ensure well-being of human population residing in the area. While water from the hand pump source is loaded with high TDS and EC (greater than WHO limit). The aforementioned parameter is highly linked with EC as well as pH. It is directly proportional to the conductivity and inversely proportional to the pH. Further, studies need to be conducted in this measure to evaluate quality of drinking water in rural areas of Sindh province.