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 examined. The equilibrium points’ asymptotic stability is analyzed using linear stability. Then, global stability and persistence are investigated using the Lyapunov strategy. The occurrence of bifurcations of the model, such as of trans-critical or Hopf type, is also explored. Numerical simulations are used to verify the theoretical analysis. The Runge–Kutta method of fourth order is used in the simulation of the model. The analytical study and simulation findings show that the immune system is boosted by regular vitamin consumption, inhibiting the growth of tumor cells. Further, the chemotherapy drug contributes to the control of tumor cell progression. Vitamin intake and chemotherapy are treated both individually and in combination, and in all situations, the minimal level required to eliminate the cancer is determined.
TV drama has gone through many developmental stages until it reached and settled in the form of TV series of thirty episodes. Alongside the development of the TV technologies and the widespread of satellite channels, the form of the TV drama has changed and the series has consisted of two parts and then parts multiplied until they amounted to ten parts and more. This form of TV drama has become an artistic phenomenon, that once the series is displayed on one of the channels and achieves a noticeable success, its producers work to produce a second part of that series and so on. This form of TV drama has remained away from being researched.
This has urged the researcher to accomplish this study entitled (TV series of multiple parts fro
Abstract
This research deals with Building A probabilistic Linear programming model representing, the operation of production in the Middle Refinery Company (Dura, Semawa, Najaif) Considering the demand of each product (Gasoline, Kerosene,Gas Oil, Fuel Oil ).are random variables ,follows certain probability distribution, which are testing by using Statistical programme (Easy fit), thes distribution are found to be Cauchy distribution ,Erlang distribution ,Pareto distribution ,Normal distribution ,and General Extreme value distribution . &
... Show MoreClimate change in recent years has greatly affected the distribution of ground covers. Monitoring these changes has become very easy due to the development of remote sensitivity science and the use of satellites to monitor these changes. The aim of this research is to monitor changes in the spectral reflectivity of the Baghdad governorate center for the month (March, June, September, December) of the year 2021 using remote sensing and satellite images Sentinel 2 and knowing the climate imact on them. Fifty-one samples were selected for four types of ground cover (agricultural land, water, buildings and open space) and their spectral reflectivity was calculated using satellite images.
В статье рассматриваются понятие наглядности и ее классификация, эффективное применение принципа наглядности, возможность и преимущество использования наглядности и современные инструменты ее реализации в ираке.
Вследствие глобальных изменений во всем мире изменилась и роль иностранного языка в системе образования. Современный человек, шагающий в ногу со временем, не мыслит себя без зна
... Show MoreAdvertising is an important and influential tool in various commercial operations, as it represents a means of communication that depends on influencing individuals or society as a whole, working on a link between the producer and the consumer, so the importance of advertising appears in two dimensions, the first is economic represented in its role in achieving economic growth for the facility, while the social dimension lies in its role By influencing the behaviors and ideas of individuals, and from here it appears to us the importance of formulating, organizing and designing the advertising message that advertising agencies resort to in their advertising campaigns. Orientation, definition, and raising the level of the advertising messa
... Show MoreThe study discusses ''The Security Intellectual Proposals of the Paris and the Welsh Schools'', which are considered one of the most important contemporary European monetary schools that emerged in the nineties of the twentieth century, and how did it approach the concept of security, criticizing the traditional trend that prevailed during the Cold War period regarding limiting the concept of security to the state or to the military aspect (National Security), and an attempt to expand the concept to economic, social and environmental dimensions, as well as political and military dimensions. The most important proposals that the Wales School provided are “Security as an emancipation policy”, “ individual security”, and “The ro
... Show MoreThe importance of this research in studying the actor life existence on the stage through the performance art;where as all the literary theatrical dimensions didn't ignore the importance of the actor's performance.
So, it is shed a light on the nature of the scenery in the actor's performance and what its representations in the temporary directions ……..
The research set off from the imitation as a human instinct to the performance of the actor in post-modernity theater; so the researcher found that there is a question must be answered which is :Is the actor live a regression state in his theatrical performance ,or that the performance of the actor connect with collective conscience of human being which is repeated in certain
The text has many connotations in the Arabic language, such as vowel points, designation, completion, etc., and the original meaning of the text is to show. The Western text has its owen independent semantic unit .The biblical texts are a mixture of what was reported by the Prophet Moses (peace be upon him) and what the authors described in terms of texts over many centuries.The meaning of the text is guidance and payment, and it is a natural connotation. The religious text for Muslims is divided into peremptory texts that are national proof. The evidence for the meaning of the text is proven by language, and it is not required that the researcher be a jurist. The approach is a factual questionnaire by the researcher according to a speci
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