An Exponential Matrix Method for Numerical Solutions of Hantavirus Infection Model

In this paper, a new matrix method based on exponential polynomials and collocation points is proposed to obtain approximate solutions of Hantavirus infection model corresponding to a class of systems of nonlinear ordinary differential equations. The method converts the model problem into a system of nonlinear algebraic equations by means of the matrix operations and the collocation points. The reliability and efficiency of the proposed scheme is demonstrated by the numerical applications and all numerical computations have been made by using a computer program written in Maple

A Taylor polynomial approach for solving differential-difference equations

AbstractThe purpose of this study is to give a Taylor polynomial approximation for the solution of mth-order linear differential-difference equations with variable coefficients under the mixed conditions about any point. For this purpose, Taylor matrix method is introduced. This method is based on first taking the truncated Taylor expansions of the functions in the differential-difference equations and then substituting their matrix forms into the equation. Hence, the result matrix equation can be solved and the unknown Taylor coefficients can be found approximately. In addition, examples that illustrate the pertinent features of the method are presented, and the results of study are discussed. Also we have discussed the accuracy of the method. We use the symbolic algebra program, Maple, to prove our results

Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method

We have suggested a numerical approach, which is based on an improved Taylor matrix method, for solving Duffing differential equations. The method is based on the approximation by the truncated Taylor series about center zero. Duffing equation and conditions are transformed into the matrix equations, which corresponds to a system of nonlinear algebraic equations with the unknown coefficients, via collocation points. Combining these matrix equations and then solving the system yield the unknown coefficients of the solution function. Numerical examples are included to demonstrate the validity and the applicability of the technique. The results show the efficiency and the accuracy of the present work. Also, the method can be easily applied to engineering and science problems

The Course and Prognosis of Pemphigus: A Review of 42 Patients

Pemphigus is a rare, chronic and life-threating autoimmune disease. The objective of this retrospective study was to evaluate the course and prognosis of pemphigus patients treated in our clinics. Medical records of 42 patients followed up regularly, and diagnosed at the Department of Dermatology, Faculty of Medicine, University of Dicle, from July 1994 to January 2004 were reviewed retrospectively. Of 42 patients with pemphigus, 38 had been treated with combination of methylprednisolone and azathioprine. Four patients had been treated with methylprednisolone alone. The initial doses ranged from 80 to 300 mg of methylprednisolone and 100-150 mg of azathioprine daily. No remission was obtained in 5 cases treated with combined therapy of methylprednisolone and azathioprine. Of 42 patients, 5 died during the study period. All of the patients who died were those patients with pemphigus vulgaris. In 4 patients, death occurred due to reasons related to the disease or treatment. Twenty nine patients were in complete remission with no therapy for duration varying between 4 months and 8 years

Destek vektör makinesi kullanarak bağımsız bileşen tabanlı 3B nesne tanıma = Independent component based 3D object recognition using support vector machines

Bu makalede, zaman ve belleğin bileşimsel (kombinezon) patlaması olmaksızın yüksek dereceden istatistikleri kullanan bir nesne tanıma tekniği önerilmektedir. Önerilen yöntem literatürdeki iki gözde yöntem olan Bağımsız Bileşen Analizi (BBA) ve Destek Vektör Makinesi (DVM)’nin kaynaşımıdır. İmgelerdeki artıklığı gidermek ve her imge için daha düşük boyutlu öznitelik vektörleri elde etmek için BBA’yı ve sonrasında BBA adımından gelen bu öznitelik vektörlerini sınıflandırmak için DVM’nin kullanması önerilmektedir. Coil-20 veritabanı ve kendi ürettiğimiz bir 2B üretim nesneleri veritabanı için deney sonuçları verilmiştir

Son dönem böbrek hastalarında gelişen sekonder hiperparatiroidizmin cerrahi tedavisi: Cerrahi yaklaşımlar ve olgu sunumları

Amaç: Son dönem böbrek hastalığı dünya çapında bir sağlık problemidir. Bu hastaların yaşam süreleri uzadıkça sekonder hiperparatiroidizm gibi ek patolojiler de gelişmektedir. Bu çalışmanın amacı sekonder hiperparatiroidizme cerrahi yaklaşımları gözden geçirmek ve kendi tecrübelerimizi sunmaktır. Hastalar ve Yöntemler: Bu retrospektif çalışmaya 2004 ve 2008 yılları arasında kronik böbrek hastalığı tanısıyla ameliyat edilen beş erkek hasta (ort. yaş 38.6) dahil edildi. Hasta bilgileri hastane kayıtlarından toplandı. Bulgular: Hastaların ortalama hemodiyaliz süresi 106.8 aydı. Bütün hastalar ameliyat öncesi dönemde ultrasonografi ve sintigrafi ile incelendi. Hastaların ameliyat öncesi ve sonrası dönemde ortalama serum PTH değeri 2097 ng/ ml ve 36.5 ng/dl, Ca 11.48 mg/dl ve 6.2 mg/dl, P 7.5 mg/dl ve 4.4 mg/dl, ALP 527 IU/L ve 89 IU/L idi. Bütün hastalara total paratiroidektomi ve sternokleidomastoid kasa ototransplantasyon yapılırken bir hastaya ek olarak sağ tiroidektomi yapıldı. Ameliyat sonrası dönemde tüm hastalar oral kalsiyum karbonat ve kalsitriol kullandılar. Hiçbir hastada ciddi komplikasyon görülmedi. Ortalama hastanede kalış süresi 4.6 gündü. Hastaların hepsinde serum PTH düzeyleri 300 ng/dl altında seyretti ve hiçbir hastada takipler esnasında nüks hiperparatiroidizm görülmedi. Sonuç: Sekonder hiperparatiroidizmin cerrahi tedavisi için birçok yöntem olsa da total paratiroidektomi ve ototransplantasyon düşük nüks ve komplikasyon oranları ile son dönem böbrek hastalarında gelişen sekonder hiperparatiroidizmin için en kabul edilen tedavi metotlarındandır.Objectives: End-stage renal disease is a worldwide public health problem. While the survival time of the patients extends, additional pathologies such as secondary hyperparathyroidism occurs. The aim of the study is to review the surgical approaches to secondary hyperparathyroidism and present our experiences. Patients and Methods: This retrospective study included five male patients (mean age 38.6 years) who were operated on for chronic renal failure between 2004 and 2008. The data of patients were collected from hospital records. Results: The mean duration of hemodialysis was 106.8 months. All patients had ultrasonography and scintigraphy preoperatively. The mean value of preoperative and postoperative serum PTH was 2097 ng/ml and 36.5 ng/dl, Ca 11.48 mg/dl and 6.2 mg/dl, P 7.5 mg/dl and 4.4 mg/dl, ALP 527 IU/L and 89 IU/L. Total parathyroidectomy and sternocleidomastoid muscle autotransplantation was performed in all patients and one patient had right thyroidectomy in addition. Postoperatively, all patients received oral calcium carbonate and calcitriol. No serious postoperative complications occurred in any of these cases. The duration of hospitalization was 4.6 days on the average. Serum PTH was kept constantly below 300 ng/L in all cases in follow-up and no recurrent hyperparathyroidism was detected. Conclusion: Although there are many types of surgery techniques in treatment of secondary hyperparathyroidism, total parathyroidectomy with autografting is the most accepted procedure with low recurrent and complication rate in end-stage renal disease patients

The effects of urban rail transportation projects on urban areas: Case study of Izmir

Starting in the late nineteenth century rail network expansion activities in large cities of developed countries has been in trouble because of the energy crisis in the 1970s, but the rail system works in the 1990s accelerated the concepts of environmental and economic sustainability, and is still continuing today. In the 1970s urban rail systems, previously only applied to highly populated cities, started to be implemented in low-populated urban areas. Despite efforts to accelerate rail system in the 1990s in developed countries, many developing countries had not have rail networks. In countries which had been studying on rail system networks, along with the acceleration of urban development, due to the lack of transportation plans, inadequate or incorrect implementation of the plans or changing actions in the implementation phase applied advanced rail system has not reached capacity or expected. In Turkey, the purpose, goals and policies of transport plans are away from integrity, and the problems are not clearly detected. Also, not defined and incomplete assessment of transportation systems and insufficient financial analysis are the most important cause of failure. Rail systems and other transportation systems to be addressed as a whole is seen as the main factor in increasing efficiency in applications that are not integrated yet in our country to come to this point has led to the problem. Compared to other transport systems, rail systems require more efficient use of the investment because of the high investment costs, so that implementation of these systems without deviating from the main policies and objectives, efficient use of financial resources has become crucial for the correct orientation of the investment. One of the most important factors in the provision of effective use of rail systems is locating in the right corridor. Provided, however, to meet the expected passenger capacity in terms of investment is very important to achieve the objective. In this study, located in the city of İzmir, Bornova-Üçyol Metro line and Aliağa-Menderes İzban Light Rail System and light rail systems in the coming years and the projected capacity of recommendation after analyzing tried to reveal the effects of urban space

A New Hermite Collocation Method for Solving Differential Difference Equations

The purpose of this study is to give a Hermite polynomial approximation for the solution of mth order linear differential-difference equations with variable coefficients under mixed conditions. For this purpose, a new Hermite collocation method is introduced. This method is based on the truncated Hermite expansion of the function in the differential-difference equations. Hence, the resulting matrix equation can be solved and the unknown Hermite coefficients can be found approximately. In addition, examples that illustrate the pertinent features of the method are presented and the results of the study discusse

A novel collocation method based on residual error analysis for solving integro-differential equations using hybrid Dickson and Taylor polynomials

In this study, a novel matrix method based on collocation points is proposed to solve some linear and nonlinear integro-differential equations with variable coefficients under the mixed conditions. The solutions are obtained by means of Dickson and Taylor polynomials. The presented method transforms the equation and its conditions into matrix equations which comply with a system of linear algebraic equations with unknown Dickson coefficients, via collocation points in a finite interval. While solving the matrix equation, the Dickson coefficients and the polynomial approximation are obtained. Besides, the residual error analysis for our method is presented and illustrative examples are given to demonstrate the validity and applicability of the method