Sürdürülebilir Kalkınma Amaçları

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• MakaleAçık Erişim2025/r/gumushane/19511
  Analysis of Diabetes Complications Model With Time Delays

  Merdan, Mehmet; Şişman, Şeyma

  In this article, diabetes, a disease known to be influenced by genetic and environmental factors, is divided into two types: diabetes without complications (D) and diabetes with complications (C). The stability of the equilibrium points of this two-dimensional diabetes complication (DC) model, the D and C equations are studied by time delay. In addition, the behavior of the model is obtained with the help of the MATLAB package program.

  İncele
• MakaleAçık Erişim2024/r/gumushane/19973
  Investigation of solution behavior of Differential Equations by Sumudu methods of random complex Partial Differential Equations

  Merdan, Mehmet; Merdan, Merve; Şahin, Rıdvan

  In this study, solutions of random complex partial differential equations were found using the two-dimensional Sumudu transformation method(STM). The initial conditions of a deterministic equation or the non-homogeneous part of the equation are transformed into random variables to obtain a random complex partial differential equation. With the help of the properties of two-dimensional Sumudu and inverse Sumudu transformation, an approximate analytical solution of a complex partial differential equation with random constant coefficients was obtained by selecting a random variable with an initial condition of Normal and Gamma distribution. The probability characteristics of the resulting solutions, such as expected value and variance, were obtained and graphically shown with the help of the Maple package program.

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• MakaleAçık Erişim2023/r/gumushane/20276
  Application of Formable Transform for Solving Growth and Decay Problems, Logistic Growth Model and Prey-Predator Model

  Güngör, Nihan

  Integral transforms have become the focus of investigations, because they allow the solution of significant problems in the domains of science and engineering to be accomplished with a minimal number of straightforward calculations. In this study, growth and decay problems, which are crucial in fields such as biology, zoology, physics, chemistry, and economics, are solved utilizing the Formable transform. The Formable transform method is applied to the logistic growth model in population and prey-predator models. The effectiveness and simplicity of the use of the Formable transform in obtaining the solution to these problems are examples.

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• MakaleAçık Erişim2023/r/gumushane/16997
  On Solutions Of Random Partial Differential Equations With Laplace Adomian Decomposition Method

  Merdan, Mehmet; Atasoy, Nihal

  In this study, random partial differential equations obtained by randomly choosing the coefficients or initial conditions of partial differential equations will be analyzed. With the help of Laplace Adomian Decomposition Method and Homotopy Analysis Method, approximate analytical solutions of random partial differential equations were obtained. Initial conditions and parameters are made into random variables with normal distribution and gamma distribution. Probability characteristics such as expected value, variance and confidence intervals of the obtained random partial differential equation are calculated. Obtained results will be plotted with the help of MATLAB (2013a), package program and random results will be interpreted.

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• MakaleAçık Erişim2022/r/gumushane/17223
  A Mathematical Model of Susceptible Diabetes Complication (SDC) Model in Discrete Time Fuzzy and Crisp Environment

  Merdan, Mehmet; Şişman, Şeyma

  In this study, we examined the mathematical model of the discrete-time equation system with susceptible diabetes complication (SDC), which is known to be caused by environmental and genetic factors in a fuzzy environment. From the diabetes complication (DC) model, the susceptible diabetes complication (SDC) model is being developed. It was obtained using definitions of how the behavior of this model changes in a fuzzy environment. A nonlinear differential equation system transforms the sensitive diabetes complication (SDC) model into a discrete time equation system. Stability analysis of the model with jury criterion was examined. In addition, numerical solutions and graphics of the analysis of the discrete model in fuzzy environment are obtained by using the MATLAB package program.

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  İncele
• MakaleAçık Erişim2020/r/gumushane/17703
  Can an abts antioxidant test be performed without a spectrophotometer?

  Burnaz, Nesibe Arslan; Akar, Zeynep

  ABTS• + (2,2-azinobis- (3-ethylbenzothiazoline-6-sulphonic acid)) radical scavenging assay iswidely used to determine the antioxidant activity of natural and synthetic substances. As otherantioxidant activity determination methods, a spectrophotometer device is needed to determinethe numerical value of the color formed in ABTS method. Therefore, the dependence on thedevice is disadvantageous due to especially the high cost and restriction of workspace. Toovercome this disadvantage, a new colorimetric method in the determination of antioxidantactivity for ABTS method was developed with the help of a scanner device and free software(Image J). Mixtures (plant extracts and antioxidant standards) in this new colorimetric methodwere prepared as in the spectrophotometric method and, after the incubation period, each ofthese reagent mixtures was dropped onto the thin layer chromatography (TLC) plate. Then thecolors that appeared on the thin layer chromatography were transferred to the computer withthe help of a scanner and CSC50 values (the color value of the antioxidant concentrationrequired to scavenge 50% of the ABTS radical in the test solution using Image J software)were measured with free software of Image J. The same measurements were performedsimultaneously on the spectrophotometer. The results of both methods were compared. Therewas a strong correlation between the new colorimetric method and the spectrophotometricmethod for ABTS. Thus, the new colorimetric method for the ABTS test has become easilyapplicable since no spectrophotometer device is needed and in all environments.

  İncele
• MakaleAçık Erişim2019/r/gumushane/18234
  Diferansiyel Dönüşüm Yöntemi İle Rastgele Kalp Atış Modelinin Analizi

  Oral, Pınar; Merdan, Mehmet; Bekiryazıcı, Zafer

  Bu çalışmada, rastgele Zeeman Kalpatış Modelinin incelenmesi için diferansiyel dönüşüm yöntemi kullanılmıştır. Modelin bazı parametreleri ve başlangıç koşulları sırasıyla Beta ve Normal dağılımlara sahip rastgele değişkenler olarak alınmıştır. Rastgele Zeeman Modelinin yaklaşık analitik çözümü elde edilmiş ve model bileşenlerinin beklenen değer ve varyansı elde edilmiştir. Beta ve normal olarak dağılmış rastgele etkiler altında, rastgele modellerin sonuçları karşılaştırılmış ve bu durumlar için elde edilen yaklaşık sayısal karakteristikler karşılaştırılmıştır. Elde edilen yaklaşık formüllere, yaklaşımların yakınsama aralığını artırmak için Laplace-Padé Metodu uygulanarak iyileştirilmiş çözümler bulunmuştur.

  İncele
• MakaleAçık Erişim2018/r/gumushane/18332
  Antidiabetic Potential: Effect of Resorcinol on α-Glycosidase and α-Amylase Enzymes

  Topal, Fevzi

  The vast majority of the carbohydrates in the biomolecule class are formed by photosynthesis using sunlight. One of the important enzymes in this class is α-glycosidase. This enzyme converts complex carbohydrates to monosaccharides. On the other hand, another important enzyme species is the α-amylase enzyme. Which directly related to starch. Starch is a type of polymer formed by the oxygen binding of glucose units to each other at the C1 position with glycosidic bonds. α-Amylase is an enzyme that catalyzes the hydrolysis of glycosidic bonds in starch, and this enzyme is purified from a wide variety of animals, plants, and microorganisms. Resorcinol, a phenol derivative, is an important organic chemical substance in the production of textile, medicine, hair dye, plastic and agricultural products of many industrial materials. Resorcinol, a phenol derivative, is present as white crystals, and resorcinol consists of two hydroxyl molecules attached to the benzene ring, and also was defined as α-glycosidase and α-amylase inhibitor to detect antidiabetic properties. Resorcinol was used as 𝛼-glycosidase and 𝛼-amylase inhibitor. Accordingly, IC50 values of α-amylase and α-glycosidase were calculated as 1.34 μM and 77.00 nM, respectively. On the other hand, Ki value for α-glycosidase was found as 30.16 nM. It has been observed that α-amylase and α-glycosidase enzymes can inhibit by resorcinol compound. It has the properties of inhibiting carbohydrate absorption by inhibiting α-glycosidase enzymes in the small intestine. For both metabolic enzymes, resorcinol may be preferred as an inhibitor. In this case, resorcinol may be used as an inhibitor against to healty problems like Diabetes mellitus and antiobesity.

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• MakaleAçık Erişim2018/r/gumushane/18331
  Investigation of Antibiotic Resistance Genes and Class 1 Integron in Multi-Drug Resistant P. aeruginosa and E. coli Strains

  Sarıyer, Aysegül Saral; Düzgün, Azer Özad

  P. aeruginosa and E. coli are resistant to many antibiotics, so the treatment of infections of these pathogens has become difficult. Therefore, searching for the presence of antibiotic resistance genes in clinical isolates is of great importance. The purpose of this study is to investigate the presence of beta-lactam resistance genes and class 1 integron in multi-drug resistant P. aeruginosa and E. coli clinical strains. Vitek 2 Compact automatization system were used for identification and antibiogram of 2 P. aeruginosa and 2 E. coli isolates which were isolated from blood, urine and sputum specimens of patients whom were hospitalized in Gümüşhane State Hospital intensive care unit. Total DNA isolation was done by boiling DNA method. PCR were performed using primers of class 1 integron gene cassette, blaVIM, blaNDM, blaIMP, blaGES, blaCTXM-1, blaCTXM-2, blaOXA-58, blaOXA-23, blaOXA-51, blaOXA-40 and blaKPC. All amplification samples were performed on 1% agarose gel and subsequently visualized under UV light. According to the results of the antibiogram, P. aeruginosa isolates showed resistance against all used antibiotics except gentamicin. The E. coli isolates were found to be resistant to cephalosporin antibiotics and susceptible to carbapenems. blaCTXM-1-class A beta lactamase genes was found in 3 strains of 4, while no blaCTXM-2, blaGES and blaKPC genes were detected in the strains. The presence of the investigated class B and class D beta lactamase genes was not observed in any sample. The presence of class 1 integron was detected in 3 strains. According to the result of the DNA sequence analysis, it was determined that three integron positive samples had the dfrA1/AadA5 gene cassettes.

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  İncele
• MakaleYalnız künye2017/r/gumushane/18595
  Experimental Investigation of MR Effect to RTV Silicone Rubber-based Magneto-rheological Materials

  Mazlum, Uğur; Gümrük, Recep

  Magneto-rheological Elastomers are smart materials whose properties can be altered reversibly and almost instantaneously by application of external magnetic fields. Silicone rubber species are used widely in the laboratory studies because of it is easy to prepare and cured at room temperature. In this study, MRE material was produced using three different types of silicone rubber and ferromagnetic powder which is sensitive to magnetic field. MRE materials are obtained as isotropic (homogenous) and anisotropy (aligned) state. Composite materials were tested in uniaxial compression testing machine with three different test procedures. In this way, the mechanical properties and the magneto-rheological effect of the materials were compared. As a result, under the magnetic field to 0.430 T with anisotropic Sorta Clear40 materials were found to increase in stress 30%, according to the pure state has been demonstrated that the rate of 50%. When the isotropic Sorta Clear40 and Vario40 materials were comparable, MR effect was revealed that the increases the rate of about 325% at strain to 5%. When selecting to optimum rubber types was reached the result should be used to materials the most appropriate to the material characteristics of engineering aspects.

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