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El-Rahman, Atef Abd El-Mohsen Abd,El-Shafei, Sally Mohamed Abd El-Aziz,Ivanova, Elena Vladimirovna,Fattakhova, Alfia Nurlimanovna,Pankova, Anna Victorovna,El-Shafei, Mohamed Abd El-Aziz,El-Morsi, El-M Asian Pacific Journal of Cancer Prevention 2014 Asian Pacific journal of cancer prevention Vol.15 No.17
Trichoderma spp. are known as a rich source of secondary metabolites with biological activity belonging to a variety of classes of chemical compounds. These fungi also are well known for their ability to produce a wide range of antibiotic substances and to parasitize other fungi. In search for new substances, which might act as anticancer agents, the overall objective of this study was to investigate the cytotoxic effects of Trichoderma harzianum and Trichoderma asperellum cultural filtrates against human cervical and breast cancer cell lines (HeLa and MCF-7 cells respectively). To achieve this objective, cells were exposed to 20, 40, 60, 80 and 100 mg/ml of both T. harzianum cultural filtrate (ThCF) and T. asperellum cultural filtrate (TaCF) for 24h, then the cell viability and the cytotoxic responses were assessed by using trypan blue and 3-(4,5-dimethylthiazol-2yl)-2,5-biphenyl tetrazolium bromide (MTT) assays. Morphological changes in cells were investigated by phase contrast inverted microscopy. The results showed that ThCF and TaCF significantly reduce the cell viability, have cytotoxic effects and alter the cellular morphology of HeLa and MCF-7 cells in a concentration dependent manner. A concentration of 80 and 100mg/ml of ThCF resulted in a sharp decline in the cell viability percent of HeLa and MCF-7 respectively (25.2%, 26.5%) which was recorded by trypan blue assay. The half-maximal inhibitory concentrations ($IC_{50}$) of ThCF and TaCF in HeLa and MCF-7 were recorded as 16.6, 12.0, 19.6 and 0.70mg/ml respectively by MTT assay. These results revealed that ThCF and TaCF have a substantial ability to reduce the viability and proliferation of human cervical and breast cancer cells.
Some Applications of Generalized Closed Sets in Fuzzy Topological Spaces
El-Shafei, M.E. Department of Mathematics 2005 Kyungpook mathematical journal Vol.45 No.1
In this paper we introduce the notions of g-regularity and g-normality in fuzzy topological spaces. We obtain some characterizations and several preservation theorems of such spaces.
Two notes on ``On soft Hausdorff spaces"
M. E. El-Shafei,M. Abo-Elhamayel,T. M. Al-shami 원광대학교 기초자연과학연구소 2018 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.16 No.3
One of the well known results in general topology says that every compact subset of a Hausdorff space is closed. This result in soft topology is not true in general as demonstrated throughout this note. We begin this investigation by showing that [Theorem 3.34, p.p.23] which proposed by Varol and Ayg\"{u}n [7] is invalid in general, by giving a counterexample. Then we derive under what condition this result can be generalized in soft topology. Finally, we evidence that [Example 3.22, p.p. 20] which introduced in [7] is false, and we make a correction for this example to satisfy a condition of soft Hausdorffness.
RS-Compactness in L-fuzzy Topological Spaces
M. E. EL-Shafei,I. M. Hanafy,A. I. Aggour 경북대학교 자연과학대학 수학과 2002 Kyungpook mathematical journal Vol.42 No.2
The concept of RS-compactness is introduced and studied in L-fts's. We give some characterizations of RS-compactness in terms of regular closed, semiopen and β-open L-fuzzy sets. We also characterize RS-compactness in the sense of convergent prefilterbasis and by means of finite intersection property. We investigate the image and the inverse image of RS-compact spaces under some types of functions.
Optimal shape design of contact systems
Mahmoud, F.F.,El-Shafei, A.G.,Al-Saeed, M.M. Techno-Press 2006 Structural Engineering and Mechanics, An Int'l Jou Vol.24 No.2
Many applications in mechanical design involve elastic bodies coming into contact under the action of the applied load. The distribution of the contact pressure throughout the contact interface plays an important role in the performance of the contact system. In many applications, it is desirable to minimize the maximum contact pressure or to have an approximately uniform contact pressure distribution. Such requirements can be attained through a proper design of the initial surfaces of the contacting bodies. This problem involves a combination of two disciplines, contact mechanics and shape optimization. Therefore, the objective of the present paper is to develop an integrated procedure capable of evaluating the optimal shape of contacting bodies. The adaptive incremental convex programming method is adopted to solve the contact problem, while the augmented Lagrange multiplier method is used to control the shape optimization procedure. Further, to accommodate the manufacturing requirements, surface parameterization is considered. The proposed procedure is applied to a couple of problems, with different geometry and boundary conditions, to demonstrate the efficiency and versatility of the proposed procedure.
The ring of soft pˆ-adic numbers
Fawzan Sidky,M. E. El-Shafei,M. K. Tahat 원광대학교 기초자연과학연구소 2021 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.21 No.2
We have studied and investigated the soft integers as a significant subset of soft real numbers, as we have developed many well-known theorems over integers to deal with the soft theory like the Chinese remainder theorem over the soft integers beside many other theories. Also, we have studied and investigated the p-adic numbers in the aspect of the soft theory to introduce the ring of soft pˆ-adic numbers and study some of their properties.
Analysis of thermo-rheologically complex structures with geometrical nonlinearity
Mahmoud, Fatin F.,El-Shafei, Ahmed G.,Attia, Mohamed A. Techno-Press 2013 Structural Engineering and Mechanics, An Int'l Jou Vol.47 No.1
A finite element computational procedure for the accurate analysis of quasistatic thermorheological complex structures response is developed. The geometrical nonlinearity, arising from large displacements and rotations (but small strains), is accounted for by the total Lagrangian description of motion. The Schapery's nonlinear single-integral viscoelastic constitutive model is modified for a time-stress-temperature-dependent behavior. The nonlinear thermo-viscoelastic constitutive equations are incrementalized leading to a recursive relationship and thereby the resulting finite element equations necessitate data storage from the previous time step only, and not the entire deformation history. The Newton-Raphson iterative scheme is employed to obtain a converged solution for the non-linear finite element equations. The developed numerical model is verified with the previously published works and a good agreement with them is found. The applicability of the developed model is demonstrated by analyzing two examples with different thermal/mechanical loading histories.
Fawzan Sidky,M. E. El-Shafei,M. K. Tahat 원광대학교 기초자연과학연구소 2020 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.20 No.3
In this paper, we have proposed a refinement for the concept of soft mapping along with a new definition of the soft element of soft sets to discuss the soft continuity of soft mapping over soft sets. Moreover, we have introduced the concept of soft modules over soft rings and studied the soft continuity of soft module operations over soft topological spaces to proceed with the main goal of this paper. Introducing the concept of soft topological soft modules.
Fawzan Sidky,M. E. El-Shafei,M. K. Tahat 원광대학교 기초자연과학연구소 2021 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.21 No.3
In this paper, we have introduced the concept of the soft topological module over soft topological rings as a hybrid of algebraic and soft topological structures. Also, we have studied the properties of soft topological module and their subsystem.