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Dynamical Behavior of a Cancer Growth Model with Chemotherapy and Boosting of the Immune System
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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.

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Publication Date
Tue Jan 01 2019
Journal Name
Journal Of The College Of Languages (jcl)
The article deals with the marked vocabulary of Russian and Arabic language, extrapolated to the phraseological: Маркировка арабского и русского языков: На примере фразеологии
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  The paper deals with the marked vocabulary of Russian and Arabic language, and the extrapolated to the phraseological layer of the mentioned language systems. Specificity of the functioning of this process is presented against the backdrop of the peculiarities of the existence of Russian and Arabic languages. Attention is focused on the fact that linguistic markers should be considered as a kind of keys that represent the specificity of the experience of being experienced by an individual in ontological reality. It is asserted that marking can be revealed practically at all levels of the language polysystem, but it is especially productive on its lexical layer, in particular, on the basis of lexicology and ph

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Publication Date
Sun Jun 01 2014
Journal Name
Baghdad Science Journal
The construction of Complete (kn,n)-arcs in The Projective Plane PG(2,5) by Geometric Method, with the Related Blocking Sets and Projective Codes
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A (k,n)-arc is a set of k points of PG(2,q) for some n, but not n + 1 of them, are collinear. A (k,n)-arc is complete if it is not contained in a (k + 1,n)-arc. In this paper we construct complete (kn,n)-arcs in PG(2,5), n = 2,3,4,5, by geometric method, with the related blocking sets and projective codes.

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Publication Date
Sat Oct 26 2024
Journal Name
Zac Conference Series: Social Sciences And Humanities
A Comparative Study of Postwar Literature (Iranian Defense and Vietnam’s War) a Komunyakaa’s and Aminpour’s Poems
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The comparative study tries to find the common points in two different authors’ works and in this kind of studying so many other common but the hidden points may be revealed. Postwar literature is somehow one of the best literary genres for finding the common factors and features that the poets have tried to present in their works elements such as desire to be winner, cruelty, inhumanity, and absurdity of the war.  The Iranian poet late Qaisar Aminpour(1961-2007)  and Yusef Komunyakaa ( 1947) from  Bogalusa, Louisiana, are among the great American and Iranian  poets whose works so many times have been  interpreted and analyzed. The finding the outstanding and the most important points and themes in the postwar poems of these

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Publication Date
Mon Nov 24 2025
Journal Name
Journal Of Physical Education
The effect of special exercises using a designer device and added relative weights to develop some of the physical abilities of volleyball players
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Publication Date
Tue Jun 01 2021
Journal Name
Journal Of Engineering
A Comparative Study of a Moving Bed Biofilm Reactor and Bio-shaft Technology for a Wastewater Treatment Process: A review
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In addition to the primary treatment, biological treatment is used to reduce inorganic and organic components in the wastewater. The separation of biomass from treated wastewater is usually important to meet the effluent disposal requirements, so the MBBR system has been one of the most important modern technologies that use plastic tankers to transport biomass with wastewater, which works in pure biofilm, at low concentrations of suspended solids. However, biological treatment has been developed using the active sludge mixing process with MBBR. Turbo4bio was established as a sustainable and cost-effective solution for wastewater treatment plants in the early 1990s and ran on minimal sludge, and is easy to maintain. This

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Publication Date
Sat Sep 30 2017
Journal Name
College Of Islamic Sciences
Semantic Exchange A study of rooting the term
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The term "semantic exchange" was popularized in Arabic, especially in derivatives, grammatical structures, etc., but it came under different names or terms, including deviation, deviation, transition, displacement, tooth breach, replacement, attention, etc. In the rooting of this term through its study in language and terminology, and among linguists, grammar and others, we have reached a number of results, including The existence of a harmonization between the lexical and idiomatic meaning of the term exchange, and the phenomenon of semantic exchange is a form of expansion in language, and that the first language scientists They had turned to this And studied under Cairo for different names, as noted above.

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Publication Date
Mon Sep 30 2002
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
The New Synthesis of Potassium-Exchange Zeolite A
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Publication Date
Mon Mar 08 2021
Journal Name
Baghdad Science Journal
a study of the womens collages in usa
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The study aims to identify the colleges women in the USA where he was browsing the Internet for five universities and sixty-two women's college located these colleges in 25 states only three general and other civil 51% supported by the churches and religious associations of various began its founding in Alqrnn eighteenth and continued in the nineteenth and twentieth and to provide an opportunity for women to complete higher education, while most men's colleges opened their doors to the admission of women and turned it on coeducation

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Publication Date
Wed May 12 2021
Journal Name
Journal Of Biotechnology Research Center
A review of the Common Food-borne Viruses
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Publication Date
Wed Jan 01 2020
Journal Name
Italian Journal Of Pure And Applied Mathematics
The non-zero divisor graph of a ring
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