In this study, we set up and analyze a cancer growth model that integrates a chemotherapy drug with the impact of vitamins in boosting and strengthening the immune system. The aim of this study is to determine the minimal amount of treatment required to eliminate cancer, which will help to reduce harm to patients. It is assumed that vitamins come from organic foods and beverages. The chemotherapy drug is added to delay and eliminate tumor cell growth and division. To that end, we suggest the tumor-immune model, composed of the interaction of tumor and immune cells, which is composed of two ordinary differential equations. The model’s fundamental mathematical properties, such as positivity, boundedness, and equilibrium existence, are exami

       Performance issues could be appearing from anywhere in a computer system, finding the root cause of those issues is a troublesome issue due to the complexity of the modern systems and applications. Microsoft builds multiple mechanisms to make their engineers understand what is happening inside All Windows versions including Windows 10 Home and the behavior of any application working on it whether Microsoft services or even third-party applications, one of those mechanisms is the Event Tracing for Windows (ETW) which is the core of logging and tracing in Windows operating system to trace the internal events of the system and its applications. This study goes deep into internal process activities to investigat

Background:
Angiogenesis plays a crucial role in tumorigensis; several reports have described a significant increase in microvessel density (MVD) in colorectal carcinogenesis There are
several methods to measure the angiogenesis in neoplasms, but immunohitochemistry seems to be the mainstay of all. This method enable us to measure the tumor microvessel densities highlighted by using antibodies directed against endothelial cell markers like CD31,CD34 or others; then assessment of MVD by manual count of the number of microvessels in what appears to be the most vascular area of the tumor(called the hot spot) using a protocol described by Weidner et al.Automated cellular imaging system is used to analyze

Abstract

 In order to make an improvement associated with rotating biological contactor (RBC), a new design of biofilm reactor called as Rotating perforated disc biological contactor (RPBC) was developed in which the rotating discs are perforated. The transfer of oxygen from air to wastewater was investigated. Mass-transfer coefficient (K_La)  in the liquid phase was determined by measuring  the rate transfer of oxygen.  A   laboratory scale of (RPBC) consisted of a semicircular trough was used with a working capacity of 40 liters capacity of liquid. Synthetic wastewater was used as a liquid phase, while air was used as a gas phase.

The effects of m

In this article our goal is mixing ARMA models with EGARCH models and composing a mixed model ARMA(R,M)-EGARCH(Q,P) with two steps, the first step includes modeling the data series by using EGARCH model alone interspersed with steps of detecting the heteroscedasticity effect and estimating  the model's parameters and check the adequacy of the model. Also we are predicting the conditional variance and verifying it's convergence to the unconditional variance value. The second step includes mixing ARMA with EGARCH and using the mixed (composite) model in modeling time series data and predict future values then asses the prediction ability of the proposed model by using prediction error criterions.