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Global behavior of a rational second order difference equation

Gümüş M. | Abo-Zeid R.

Makale | 2019 | Journal of Applied Mathematics and Computing

In this paper, we solve the difference equation xn+1=?1-xnxn-1,n=0,1,…,where ?> 0 and the initial values x- 1, x are real numbers. We find invariant sets and discuss the global behavior of the solutions of that equation. We show that when ?<233, one of the positive equilibrium points attracts all orbits with initials outside a set of Lebesgue measure zero. Also, when ?=233, the unique positive equilibrium points attracts all orbits with initials outside a set of Lebesgue measure zero. Finally, we show that when ?>233, under certain conditions there exist solutions that are either periodic or converging to periodic solutions . . . and give some examples. We show also the existence of dense solutions in the real line. © 2019, Korean Society for Informatics and Computational Applied Mathematics Daha fazlası Daha az

A new perspective for quintic B-spline based Crank-Nicolson-differential quadrature method algorithm for numerical solutions of the nonlinear Schrödinger equation

Başhan A. | Uçar Y. | Murat Yağmurlu N. | Esen A.

Makale | 2018 | European Physical Journal Plus133 ( 1 )

In the present paper, a Crank-Nicolson-differential quadrature method (CN-DQM) based on utilizing quintic B-splines as a tool has been carried out to obtain the numerical solutions for the nonlinear Schrödinger (NLS) equation. For this purpose, first of all, the Schrödinger equation has been converted into coupled real value differential equations and then they have been discretized using both the forward difference formula and the Crank-Nicolson method. After that, Rubin and Graves linearization techniques have been utilized and the differential quadrature method has been applied to obtain an algebraic equation system. Next, in ord . . .er to be able to test the efficiency of the newly applied method, the error norms, L 2 and L ? , as well as the two lowest invariants, I 1 and I 2 , have been computed. Besides those, the relative changes in those invariants have been presented. Finally, the newly obtained numerical results have been compared with some of those available in the literature for similar parameters. This comparison clearly indicates that the currently utilized method, namely CN-DQM, is an effective and efficient numerical scheme and allows us to propose to solve a wide range of nonlinear equations. © 2018, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature Daha fazlası Daha az

Olive oil shortenings as an alternative to commercial shortenings in cake production: physical and sensory properties

Kaçar D. | Sivri Özay D.

Makale | 2019 | Journal of Food Measurement and Characterization13 ( 4 ) , pp.2846 - 2852

The aim of this work was to evaluate the quality characteristics of the cakes produced with zero trans interesterified shortenings containing high levels (75% and 85%) of refined olive oil (OO). A commercial cake shortening (CCS) was also used as control sample. Cake baking quality was determined by color, weight loss, volume, texture, symmetry and uniformity indices. Sensory evaluation was also conducted for shape, pore distribution, odor, off-flavor, softness, moistness and overall acceptability. Cakes produced with the fat containing 85% OO (IF2) had lighter surface color, proper symmetry and desirably curved surface. Hardness va . . .lues of the cakes were increased with the increase of OO amount in the fat blends and volume of the cakes were decreased. Although total acceptability was lower than the control sample, some physical properties (pore distribution, odor, off-flavor, softness) were comparable with the control sample. The results showed that olive oil shortenings could be successfully used as a functional and nutritionally valuable substitute for commercial shortening, even in quantities up to 85%, without significant deterioration of the technological quality of cake. © 2019, Springer Science+Business Media, LLC, part of Springer Nature Daha fazlası Daha az

Vitamin B12 deficiency evaluation and treatment in severe dry eye disease with neuropathic ocular pain

Ozen S. | Ozer M.A. | Akdemir M.O.

Makale | 2017 | Graefe's Archive for Clinical and Experimental Ophthalmology255 ( 6 ) , pp.1173 - 1177

Purpose: This study aims to understand the effect of vitamin B12 deficiency on neuropathic ocular pain (NOP) and symptoms in patients with dry eye disease (DED). Methods: Patients with severe DED (without receiving topical artificial tears treatment) and ocular pain were enrolled (n = 90). Patients with severe DED and vitamin B12 deficiency (group 1, n = 45) received parenteral vitamin B12 supplement + topical treatment (artificial tears treatment + cyclosporine), and patients with severe DED and normal serum vitamin B12 level (group 2, n = 45) received only topical treatment (artificial tears treatment + cyclosporine). Patients wer . . .e evaluated by the ocular surface disease index (OSDI) questionnaire, 3rd question (have you experienced painful or sore eyes during last week?) score of OSDI as a pain determiner and pain frequency measure), tear break up time (TBUT), and Schirmer’s type 1 test. We compared the groups’ OSDI, TBUT, and Schirmer’s test recordings at the first visit and after 12 weeks retrospectively. Results: The OSDI score, 3rd OSDI question score, TBUT, and Schirmer’s test results improved after 12 weeks (p < 0.001 for each group). The mean vitamin B12 level at enrollment was 144.24 ±43.36 pg/ml in group 1 and 417.53 ±87.22 pg/ml in group 2. The mean vitamin B12 level in group 1 reached to 450 ±60.563 pg/ml after 12 weeks of treatment. The mean score changes between the groups were not statistically significant; however, the decrease in the OSDI questionnaire score (-30.80 ±5.24) and 3rd OSDI question score (-2.82 ±0.53) were remarkable in group 1 (Table 2). The mean TBUT increase was +7.98 ±2.90 s and Schirmer’s test result increase was +12.16 ±2.01 mm in group 1. The mean TBUT increase was +6.18 ±1.49 s and Schirmer’s test result increase was +6.71 ±1.47 mm in group 2. Conclusions: These findings indicate that vitamin B12 deficiency is related with NOP. It may be important to consider measuring the serum vitamin B12 level in patients with severe DED presenting with resistant ocular pain despite taking topical treatment. © 2017, Springer-Verlag Berlin Heidelberg Daha fazlası Daha az

Proximal humeral fractures with minimal displacement treated conservatively

Keser S. | Bölükbaşi S. | Bayar A. | Kanatlı U. | Meray J. | Özdemir H.

Gözden Geçirme | 2004 | International Orthopaedics28 ( 4 ) , pp.231 - 234

We reviewed 27 patients with a minimally displaced proximal humeral fracture treated conservatively after a mean follow-up of 25 (12-34) months. All fractures had united. Patients were evaluated using the Constant-Murley scoring system, and isokinetic muscle strength was tested using a Cybex dynamometer. Finally, all shoulders were examined ultrasonographically. The mean Constant score for all patients were 81 (54-100). Twenty-three patients had no or only mild pain, while three had moderate and one severe pain necessitating regular use of oral analgesics. Twenty patients were able to perform all activities of daily living, but seve . . .n had mild trouble in overhead activities and weight carrying. Only in one patient, the abduction peak torque equalled the one of the opposite shoulder. In all other patients, the peak torque was lower than, and in 14 patients below, 50%. In nine patients, rotator cuff tears were seen at ultrasonography Daha fazlası Daha az

Identification problems for systems of nonlinear evolution equations and functional equations

Anikonov Y.E. | Gölgeleyen İ. | Yildiz M.

Makale | 2016 | Advances in Difference Equations2016 ( 1 ) , pp.231 - 234

In this work, we consider two inverse problems for systems of nonlinear differential and differential-difference evolution equations. We propose a new technique for the solution of such inverse problems. We reduce the problem to a system of functional equations by using the given data and then we obtain the solution by the method of Kuczma (Functional Equations in a Single Variable, 1968). © 2016, Anikonov et al.

Real-time monitoring of ST change for telemedicine

Kayıkçıoğlu İ. | Akdeniz F. | Kayıkçıoğlu T. | Kaya İ.

Konferans nesnesi | 2017 | IFMBE Proceedings62 , pp.671 - 677

Modern medical breakthroughs and general improvements in environmental and social conditions have raised the global life expectancy. As the world’s population is aging, the incidence and prevalence of chronic diseases increases. Dramatic increase in the numbers of chronically ill patients is profoundly affects the healthcare system. Care at home provides benefits not only to patients but also the community and the health care providers. A telemedicine system utilizing today’s information and mobile communication technologies plays a crucial role in providing care at home. Currently, diverse telemedicine projects are progress in the . . .most countries. A telemedicine project is supported by The Scientific and Technological Research Council of Turkey (TÜBİTAK) under Grant 114E452in Turkey. This project aims end to end remote monitoring of patients with chronic diseases such as heart failure, diabetes, asthma, and high blood pressure. A clinical decision support system integrated to telemedicine improves prognosis and quality of life in patients. The mainstay of a decision support system is early detection of important clinical signs and prompts medical intervention. Cardiovascular diseases are the leading cause of death globally. People with cardiovascular disease need early detection. An effective decision support system is needed to detect ECG arrhythmia before a serious heart failure occurs. One of the aims of the project is to develop decision support system which will detect whether a beat is normal or arrhythmia. The ECG signals in MIT-BIH arrhythmia database and Long Term ST Database are used for training and testing the algorithm. A total of 103026 beat samples attributing to fifteen ECG beat types are selected for experiments in MIT-BIH arrhythmia database. 103026 RR intervals with ST segment change were selected from the Long Term ST Database. ST segment changes detection is just based on the signal between two consecutive R peaks. The features are obtained from Wigner-Ville transform of this signal. The classification algorithms provided by the MATLAB Classification Learner Toolbox were tested. The Cubic SVM achieved best results with accuracy of 98.03%, sensitivity of 98.04%, specificity of 98 % and positive predictive value of 98%. © Springer Nature Singapore Pte Ltd. 2017 Daha fazlası Daha az

Pathogenesis of Crimean–Congo Hemorrhagic Fever From an Immunological Perspective

Arasli M.

Gözden Geçirme | 2016 | Current Tropical Medicine Reports3 ( 1 ) , pp.14 - 19

Crimean–Congo hemorrhagic fever (CCHF) is a severe viral infection disease. Infection is a battle between the virus and host immune system. The CCHF virus can enter to the organism by way of skin, mucosa, or inhalation and encounters innate immune system cells like monocytes, macrophages, and dendritic cells. These cells cannot successfully eliminate viruses. Thus, the viruses are able to disseminate to regional lymph nodes and to whole body. Different viral pathogen-associated molecular patterns (PAMPs) stimulate the intracellular Toll-like receptors, RIG-like Helicase receptors, and NOD-like receptors. So, different inflammatory c . . .ytokines, chemokines, and adhesion molecules are induced. The virus has both direct cytopathic effects on parenchymal cells especially on the liver, spleen, and endothelial cells and non-cytopathic indirect effects depending upon releasing factors from innate immune cells. In severe fatal cases, infection causes coagulation by stimulating both intrinsic and extrinsic coagulation pathways and disseminated intravascular coagulopathy occurs. The prognosis of the disease is dependent on the balance between the viral load and host’s immune system. While high values of IL-12/IL-10, IL-15/IL-10, IL-18/IL-10, and IFN-?/IL-10 ratios show strong TH1 immune status, low values show suppressed immune system. These ratios together with viral load can indicate the patients’ clinical prognosis from an immunological perspective. © 2016, Springer International Publishing AG Daha fazlası Daha az

A stability assessment of the rockfall problem around the Gökgöl Tunnel (Zonguldak, Turkey)

Geniş M. | Sakız U. | Çolak Aydıner B.

Makale | 2017 | Bulletin of Engineering Geology and the Environment76 ( 4 ) , pp.1237 - 1248

The stability of rock slopes is an important area of interest in civil and mining engineering. This study investigated rockfall occurring around the Gökgöl tunnel along the Zonguldak-Ankara roadway. Extensive field studies, including determination of geological description of the rock mass, scan-line surveys on discontinuities, identification of slope profiles, measurement of actual fallen block dimensions, and sampling procedures, were carried out. The study area and its surroundings are part of a Lower Carboniferous limestone formation. The assessments based on field studies indicated that two joint sets and a bedding plane were t . . .he main types of discontinuity. Two slope profiles were then created by considering the most frequently encountered rock fall events. The present study aimed to investigate the rockfall potential in this area by means of numerical analyses. For this purpose, RocFall software based on the lumped-mass method was utilized. Based on these analyses, traffic safety is threatened by potential rockfall. In Case I, a 30 % portion of the falling blocks reached the side of the main road, while about 70 % of them remained on the slope. However, falling blocks reached the end of the road in Case II. The study area requires some protection measures, such as the construction of retaining barriers and steel mesh to hold small size rock blocks. As a result, barrier heights to hold falling blocks were calculated as 0.5 m and 4 m for Case I and Case II, respectively. Barrier heights sufficient to hold falling rocks were determined using numerical analysis. In Case II, from such analyses, the energy required for a protection barrier for 1000 kg was found to be 200 kJ. © 2016, Springer-Verlag Berlin Heidelberg Daha fazlası Daha az

Comparison of novel intramedullary nailing with mini-invasive plating in surgical fixation of displaced midshaft clavicle fractures

Zehir S. | Zehir R. | Şahin E. | Çalbıyık M.

Makale | 2015 | Archives of Orthopaedic and Trauma Surgery135 ( 3 ) , pp.339 - 344

Introduction: This prospective randomized pilot study sought to determine whether fixation with Sonoma CRx intramedullary pin is a comparable alternative to minimally invasive plating fixation in patients with displaced clavicle fractures. Materials and methods: A total of 45 consecutive patients (Robinson class B1 or B2) were randomly allocated into two groups; intramedullary pin (IMP) group (n = 24, mean age; 33.17 ± 8.60 years, 14 males 58.3 %) received Sonoma CRx Collarbone pin (Sonoma, USA) whereas locking midshaft superior plating (MIPPO) group (n = 21, 32.38 ± 8.41 years, 12 males) patients received minimally invasive locking . . . midshaft superior plating (Acumed, USA). Patients were followed up with a mean time of 11.82 ± 4.22 and 14.45 ± 6.43 months, respectively. Functional status, as the primary outcome measure, was assessed using quick disability of the arm, shoulder and hand (DASH) scores. Results: Mean time of operation and mean time of fluoroscopy were significantly shorter in the IMP group than those in MIPPO group (p Daha fazlası Daha az

Positive and negative ionospheric responses to the March 2015 geomagnetic storm from BDS observations

Jin S. | Jin R. | Kutoglu H.

Makale | 2017 | Journal of Geodesy91 ( 6 ) , pp.613 - 626

The most intense geomagnetic storm in solar cycle 24 occurred on March 17, 2015, and the detailed ionospheric storm morphologies are difficultly obtained from traditional observations. In this paper, the Geostationary Earth Orbit (GEO) observations of BeiDou Navigation Satellite System (BDS) are for the first time used to investigate the ionospheric responses to the geomagnetic storm. Using BDS GEO and GIMs TEC series, negative and positive responses to the March 2015 storm are found at local and global scales. During the main phase, positive ionospheric storm is the main response to the geomagnetic storm, while in the recovery phas . . .e, negative phases are pronounced at all latitudes. Maximum amplitudes of negative and positive phases appear in the afternoon and post-dusk sectors during both main and recovery phases. Furthermore, dual-peak positive phases in main phase and repeated negative phase during the recovery are found from BDS GEO observations. The geomagnetic latitudes corresponding to the maximum disturbances during the main and recovery phases show large differences, but they are quasi-symmetrical between southern and northern hemispheres. No clear zonal propagation of traveling ionospheric disturbances is detected in the GNSS TEC disturbances at high and low latitudes. The thermospheric composition variations could be the dominant source of the observed ionospheric storm effect from GUVI [O]/[N 2 ] ratio data as well as storm-time electric fields. Our study demonstrates that the BDS (especially the GEO) observations are an important data source to observe ionospheric responses to the geomagnetic storm. © 2016, Springer-Verlag Berlin Heidelberg Daha fazlası Daha az

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