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TRANS-SASAKIAN MANIFOLDS WITH RESPECT TO GENERALIZED TANAKA-WEBSTER CONNECTION
Kazan, Ahmet,Karadag, H.Bayram The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.3
In this study, we use the generalized Tanaka-Webster connection on a trans-Sasakian manifold of type (${\alpha},{\beta}$) and obtain the curvature tensors of a trans-Sasakian manifold with respect to this connection. Also, we investigate some special curvature conditions of a trans-Sasakian manifold with respect to generalized Tanaka-Webster connection and finally, give an example for trans-Sasakian manifolds.
LAPLACE-BELTRAMI MINIMALITY OF TRANSLATION HYPERSURFACES IN E<sup>4</sup>
( Ahmet Kazan ),( Mustafa Altin ) 호남수학회 2023 호남수학학술지 Vol.45 No.2
In the present paper, we study translation hypersurfaces in E<sup>4</sup>. In this context, firstly we obtain first, second and third Laplace- Beltrami (LB<sup>I</sup>, LB<sup>II</sup> and LB<sup>III</sup>) operators of the translation hypersurfaces in E<sup>4</sup>. By solving second and third order nonlinear ordinary differential equations, we prove theorems that contain LB<sup>I</sup>-minimal, LB<sup>II</sup>-minimal and LB<sup>III</sup>-minimal translation hypersurfaces in E<sup>4</sup>.
SASAKIAN STATISTICAL MANIFOLDS WITH QSM-CONNECTION AND THEIR SUBMANIFOLDS
( Sema Kazan ) 호남수학회 2023 호남수학학술지 Vol.45 No.3
In this present paper, we study QSM-connection (quartersymmetric metric connection) on Sasakian statistical manifolds. Firstly, we express the relation between the QSM-connection □ and the torsionfree connection ∇ and obtain the relation between the curvature tensors ~R of □ and R of ∇. After then we obtain these relations for □ and the dual connection ∇* of ∇. Also, we give the relations between the curvature tensor ~R of QSM-connection □ and the curvature tensors R and R* of the connections ∇ and ∇* on Sasakian statistical manifolds. We obtain the relations between the Ricci tensor of QSM-connection □ and the Ricci tensors of the connections ∇ and ∇*. After these, we construct an example of a 3-dimensional Sasakian manifold admitting the QSM-connection in order to verify our results. Finally, we study the submanifolds with the induced connection with respect to QSM-connection of statistical manifolds.
TRANS-SASAKIAN MANIFOLDS WITH RESPECT TO GENERALIZED TANAKA-WEBSTER CONNECTION
( Ahmet Kazan ),( H. Bayram Karadag ) 호남수학회 2018 호남수학학술지 Vol.40 No.3
In this study, we use the generalized Tanaka-Webster connection on a trans-Sasakian manifold of type (α, β) and obtain the curvature tensors of a trans-Sasakian manifold with respect to this connection. Also, we investigate some special curvature conditions of a trans-Sasakian manifold with respect to generalized Tanaka-Webster connection and finally, give an example for trans-Sasakian manifolds.
Rania El Majzoub,Mohammad Fayyad‑kazan,Assaad Nasr El Dine,Rawan Makki,Eva Hamade,René Grée,Ali Hachem,Rabih Talhouk,Hussein Fayyad‑Kazan,Bassam Badran 한국유전학회 2019 Genes & Genomics Vol.41 No.12
Background Breast cancer, the most commonly diagnosed malignancy in women, accounts for the highest cancer-related deaths worldwide. Triple negative breast cancer (TNBC), lacking the expression of estrogen, progesterone and HER2 receptors, has an aggressive clinical phenotype and is susceptible to chemotherapy but not to hormonal or targeted immunotherapy. In an attempt to identify potent and selective anti-TNBC agents, a set of thiosemicarbazone derivatives were screened for their cytotoxic activity against MDA-MB 231 breast cancer cell line. Methods MTT assay was used to examine cell viability. P53 phosphorylation status, poly (ADP-ribose) polymerase (PARP) cleavage as well as Bcl2 and Bax protein levels were assessed by Western blot. Quantitative Real Time-PCR was carried out to characterize miRNAs expression levels. Results Combining Cisplatin + thiosemicarbazone compound 4 showed potent anti-TNBC potential. Cisplatin + compound 4 significantly enhanced p53 phosphorylation, induced Bax amount, reduced Bcl2 protein levels, enhanced PARP cleavage and modulated miRNAs expression profile in TNBCs, with a particular overexpression of miR-125a-5p and miR-181a-5p. Intriguingly, miR-125a-5p and miR-181a-5p could significantly downregulate BCL2 expression by binding to their target sites in the 3′UTR. Conclusions Collectively, our results demonstrate an anti-TNBC activity of Cisplatin + thiosemicarbazone compound 4 combination mediated via induction of apoptosis.
RULED SURFACES IN E<sup>3</sup> WITH DENSITY
Altin, Mustafa,Kazan, Ahmet,Karadag, H.Bayram The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.4
In the present paper, we study curves in 𝔼<sup>3</sup> with density $e^{ax^2+by^2}$, where a, b ∈ ℝ not all zero constants and give the parametric expressions of the curves with vanishing weighted curvature. Also, we create ruled surfaces whose base curves are the curve with vanishing weighted curvature and the ruling curves are Smarandache curves of this curve. Then, we give some characterizations about these ruled surfaces by obtaining the mean curvatures, Gaussian curvatures, distribution parameters and striction curves of them.
RULED SURFACES IN E<sup>3</sup> WITH DENSITY
( Mustafa Altin ),( Ahmet Kazan ),( H. Bayram Karadag ) 호남수학회 2019 호남수학학술지 Vol.41 No.4
In the present paper, we study curves in E<sup>3</sup> with den- sity e<sup>ax2+by2 </sup>, where a, b ∈ R not all zero constants and give the parametric expressions of the curves with vanishing weighted cur- vature. Also, we create ruled surfaces whose base curves are the curve with vanishing weighted curvature and the ruling curves are Smarandache curves of this curve. Then, we give some characteriza- tions about these ruled surfaces by obtaining the mean curvatures, Gaussian curvatures, distribution parameters and striction curves of them.
CANAL HYPERSURFACES GENERATED BY NON-NULL CURVES IN LORENTZ-MINKOWSKI 4-SPACE
Mustafa Altın,Ahmet Kazan,윤대원 대한수학회 2023 대한수학회보 Vol.60 No.5
In the present paper, firstly we obtain the general expression of the canal hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres, pseudo hyperbolic hyperspheres and null hypercones whose centers lie on a non-null curve with non-null Frenet vector fields in $E_{1} ^{4}$ and give their some geometric invariants such as unit normal vector fields, Gaussian curvatures, mean curvatures and principal curvatures. Also, we give some results about their flatness and minimality conditions and Weingarten canal hypersurfaces. Also, we obtain these characterizations for tubular hypersurfaces in $E_{1}^{4}$ by taking constant radius function and finally, we construct some examples and visualize them with the aid of Mathematica.
원종하,Hasan Hüseyin Kazan,권재,박명선,Mehmet Ali Ergun,Sureyya Ozcan,최병윤,허원도,이창준 한국뇌신경과학회 2021 Experimental Neurobiology Vol.30 No.1
In the era of COVID-19 outbreak, various efforts are undertaken to develop a quick, easy, inexpensive, and accurate way for diagnosis. Although many commercial diagnostic kits are available, detailed scientific evaluation is lacking, making the public vulnerable to fear of false-positive results. Moreover, current tissue sampling method from respiratory tract requires personal contact of medical staff with a potential asymptomatic SARSCOV-2 carrier and calls for safe and less invasive sampling method. Here, we have developed a convenient detection protocol for SARS-COV-2 based on a non-invasive saliva self-sampling method by extending our previous studies on development of a laboratory-safe and low-cost detection protocol based on qRT-PCR. We tested and compared various self-sampling methods of self-pharyngeal swab and self-saliva sampling from non-carrier volunteers. We found that the self-saliva sampling procedure gave expected negative results from all of the non-carrier volunteers within 2 hours, indicating cost-effectiveness, speed and reliability of the saliva-based method. For an automated assessment of the sampling quality and degree of positivity for COVID-19, we developed scalable formulae based on a logistic classification model using both cycle threshold and melting temperature from the qRT-PCR results. Our newly developed protocol will allow easy sampling and spatial-separation between patient and experimenter for guaranteed safety. Furthermore, our newly established risk assessment formula can be applied to a large-scale diagnosis in health institutions and agencies around the world.