The Evaluation of the Sums of More General Series by Bernstein Polynomials

Let n,k be the positive integers, and let S_{k}(n) be the sums of the k-th power of positive integers up to n. By means of that we consider the evaluation of the sum of more general series by Bernstein polynomials. Additionally we show the reality of our idea with some examples.Comment: 6 pages, submitte

On Local Asymptotic Stability of q-Fractional Nonlinear Dynamical Systems

In this paper, locally asymptotic stability of q-fractional order nonlinear dynamical systems is introduced and studied. The sufficient conditions for local stability of such dynamical systems are obtained. Also, useful definitions of fractional order q-integrals and q-derivatives are recalled. Finally, a q-fractional order nonlinear dynamical model is considered

The frequency of Duchenne muscular dystrophy/Becker muscular dystrophy and Pompe disease in children with isolated transaminase elevation: results from the observational VICTORIA study

IntroductionElevated transaminases and/or creatine phosphokinase can indicate underlying muscle disease. Therefore, this study aims to determine the frequency of Duchenne muscular dystrophy/Becker muscular dystrophy (DMD/BMD) in male children and Pompe disease (PD) in male and female children with isolated hypertransaminasemia.MethodsThis multi-center, prospective study enrolled patients aged 3–216 months with serum alanine transaminase (ALT) and/or aspartate transaminase (AST) levels >2× the upper limit of normal (ULN) for ≥3 months. Patients with a known history of liver or muscle disease or physical examination findings suggestive of liver disease were excluded. Patients were screened for creatinine phosphokinase (CPK) levels, and molecular genetic tests for DMD/BMD in male patients and enzyme analysis for PD in male and female patients with elevated CPK levels were performed. Genetic analyses confirmed PD. Demographic, clinical, and laboratory characteristics of the patients were analyzed.ResultsOverall, 589 patients [66.8% male, mean age of 63.4 months (standard deviation: 60.5)] were included. In total, 251 patients (188 male and 63 female) had CPK levels above the ULN. Of the patients assessed, 47% (85/182) of male patients were diagnosed with DMD/BMD and 1% (3/228) of male and female patients were diagnosed with PD. The median ALT, AST, and CPK levels were statistically significantly higher, and the questioned neurological symptoms and previously unnoticed examination findings were more common in DMD/BMD patients than those without DMD/BMD or PD (p < 0.001).DiscussionQuestioning neurological symptoms, conducting a complete physical examination, and testing for CPK levels in patients with isolated hypertransaminasemia will prevent costly and time-consuming investigations for liver diseases and will lead to the diagnosis of occult neuromuscular diseases. Trial RegistrationClinicaltrials.gov NCT04120168

Solutions of Cattaneo-Hristov model of elastic heat diffusion with Caputo-Fabrizio and Atangana-Baleanu fractional derivatives

Recently Hristov using the concept of a relaxation kernel with no singularity developed a new model of elastic heat diffusion equation based on the Caputo-Fabrizio fractional derivative as an extended version of Cattaneo model of heat diffusion equation. In the present article, we solve exactly the Cattaneo-Hristov model and extend it by the concept of a derivative with non-local and non-singular kernel by using the new Atangana-Baleanu derivative. The Cattaneo-Hristov model with the extended derivative is solved analytically with the Laplace transform, and numerically using the Crank-Nicholson scheme

Health School Students' Views on Aging and Their Attitudes Towards Aging

Amaç: Bu araştırma, sağlık yüksekokulu öğrencilerinin yaşlılıkla ilgili görüş ve tutumlarını belirlemek amacıylayapıldı.Yöntem: Araştırmanın örneklemini 2015-2016 Eğitim-Öğretim yılı Güz döneminde Kırklareli Üniversitesi SağlıkYüksekokulu hemşirelik, ebelik, çocuk gelişimi, beslenme ve diyetetik, sağlık yönetimi bölümlerinde öğrenimlerinedevam 1237 öğrenci oluşturdu. Verilerin analizinde frekans analizi, tanımlayıcı istatistikler (ortalama ve standartsapma), varyans analizi ve bağımsız örneklem t-testi kullanıldı (p<0.05).Bulgular: Yaş ortalaması 20.24±1,924 olan öğrencilerin %82.4’ü kızdır. Öğrencilerin yaşlılara yöneliktutumlarının öğrenim gördükleri bölüm (p=0.002) ve sınıfa (p=0.026) göre istatistiksel olarak anlamlı olduğusaptandı. Öğrencilerin yaşlılığa yönelik tutumlarının (155.92) olumlu olduğu tespit edildi.Sonuç: Çocuk gelişimi öğrencilerinin yaşlılığa yönelik tutumları diğer bölümlerdeki öğrencilere göre daha yüksekdüzeyde olduğu belirlendi. Araştırmaya katılan öğrencilerin babalarının eğitim seviyesi yükseldikçe yaşlılığayönelik tutumun olumlu düzeyde arttığı saptandı. Öğrencilerin özellikle klinik yaşlı bakım ortamlarındabulunmaları sağlanarak, yaşlı bireylerle çalışmayı tercih etmesi için stratejiler geliştirilmesi önerilir.Aim: This research, has been made in type in order to school of health students’ views and attitudes about ageism. Methods: The sample of the study consisted of 1237 students attending Kırklareli University School of Health nursing, midwifery, child development, nutrition and dietetics, health management departments in 2015-2016 Education-Training Year. In the analysis of the data, frequency analysis, descriptive statistics (mean and standard deviation), variance analysis and independent samples t-test were used (p<0.05). Results: 82.4% of students whose average age is 20.24±1.924, are girls. It was detected that Students' attitudes towards the old people, statistically significant changed according to department (p=0.002) which they are educated and their class (p=0.026). It was determined that students’ attitudes toward aging (155.92), are positive. Conclusion: It was determined that Child development department students’ attitudes towards old people were higher level than the students from the other departments. It was determined that, attitudes toward aging increased in a positive way with an increase in their fathers’ education level. It is recommended that strategies be developed for students to choose to work with older individuals, especially by ensuring that they are in clinical aged care settings

Numerical analysis for the Klein-Gordon equation with mass parameter

Abstract A numerical analysis of the well-known linear partial differential equation describing the relativistic wave is presented in this work. Three different operators of fractional differentiation with power law, exponential decay law and Mittag-Leffler law are employed to extend the Klein-Gordon equation with mass parameter to the concept of fractional differentiation. The three models are solved numerically. The stability and the convergence of the numerical schemes are investigated in detail

New nonlinear model of population growth.

The model of population growth is revised in this paper. A new model is proposed based on the concept of fractional differentiation that uses the generalized Mittag-Leffler function as kernel of differentiation. The new model includes the choice of sexuality. The existence of unique solution is investigated and numerical solution is provided

Craniofacial Fibrous Dysplasia Involvements of Mccune-Albright Syn-drome: A Review with an Additional Case

Background: McCune-Albright Syndrome (MAS) is a genetic disorder with a triad of endocrine diseases, cafe-au-lait macules and fibrous dysplasias. Craniofacial fibrous dysplasia is a term that is used to describe the fibrous dysplasia, which was localized at the craniofacial skeleton and is common in MAS patients. Objective: The objective of this review is to determine the involvement frequency of cranial and facial bones in patients with MAS and CFD. Methods: Articles in PubMed was searched with the following details "(mccune[Title/Abstract] OR albright[Title/Abstract]) OR ("craniofacial fibrous dysplasia"[MeSH Terms] OR ("craniofacial"[All Fields] AND "fibrous"[All Fields] AND "dysplasia"[All Fields]) OR "craniofacial fibrous dysplasia"[All Fields])". The articles in which the authors did not state the involved bones or did not add any radiographic images were excluded from the study. Results: 26 cases in 25 articles met the inclusion criteria. Among the 26 cases and our case, sphenoid and frontal bones were involved in 17 cases, parietal and occipital bones were involved in 15 cases, mandible and ethmoid bone were involved in 14 cases, maxilla-zygoma-temporal and palate was involved in 13, 11, 6 and 3 cases, respectively. Palate was involved in cases where maxilla was also involved. Our case was the only case that was evaluated with CBCT. Conclusion: Routine follow-ups are important since new CFDs can occur in different cranial or facial bones. 2D imaging techniques may not be able to demonstrate early CFDs; thus, an advanced imaging technique should be used after MAS diagnosis

Ailesi ile Yaşayan ve Ailesinden Ayrı Yaşayan Fizyoterapi ve Rehabilitasyon Bölümü Öğrencilerinde Yaşam Kalitesi, Depresyon, Anksiyete ve Stresin Karşılaştırılması/Comparison of Qualıty of Life, Depression, Anxiety and Stress in Physiotherapy and Rehabilitation Students Living with Parents and away from Parents

Amaç: Üniversite döneminde aile ile yaşama ya da aileden ayrı yaşama öğrencilerin farklı psikolojik semptomlar ile karşılaşmasına sebep olmaktadır. Bu çalışmanın amacı Fizyoterapi ve Rehabilitasyon Bölümü’nde okuyan öğrencilerde aile ile ya da aileden ayrı yaşamanın, öğrencilerde yaşam kalitesi, depresyon, anksiyete ve stres üzerine etkilerinin karşılaştırılmasıdır. Gereç ve Yöntem: Çalışmaya 112’si (%75.2) ailesinden ayrı yaşayan, 37’si (%24.8) ailesi ile yaşayan olmak üzere toplam 149 Fizyoterapi ve Rehabilitasyon Bölümü öğrencisi (ortalama yaş;19.49±1.04) dâhil edildi. Ailesinden ayrı yaşayan öğrenciler evde ve yurtta kalan öğrenciler olarak gruplandırıldı. Tüm katılımcıların demografik özellikleri kaydedildi. Depresyon, anksiyete ve stres için Depresyon, Anksiyete ve Stres Ölçeği, yaşam kalitesini değerlendirmek için Nottingham Sağlık Profili kullanıldı. Ölçek sonuçlarının karşılaştırılmasında Mann Whitney U Testi kullanıldı. Bulgular: Depresyon, anksiyete, stres ve yaşam kalitesi skorları ailesi ile yaşayan öğrencilerde daha kötü seyretmekle birlikte aradaki fark istatistiksel açıdan anlamlı değildi (p>.05). Ailesinden ayrı yaşayan öğrencilerde; yurtta ya da başka ev ortamında kalan grupların anksiyete, depresyon ve stres skorları benzerdi (p>.05).Yurtta yaşayan öğrencilerin yaşam kalitesi skorları daha kötü gibi görünse de fark istatistiksel açıdan anlamlı değildi (p=.542). Sonuç: Fizyoterapi ve Rehabilitasyon Bölümü öğrencilerinde farklı düzeylerde anksiyete stres ve yaşam kalitesi etkilenimleri görülse de çalışmamız sonuçları bu etkilenimin aileden ayrı yaşamak ya da yaşanılan ortam şartları ile ilişkisi olmadığını göstermiştir. Objective: Living with parents or away from their parents causes students to experience different psychological symptoms during university period. The aim of this study is to compare the effects of living with or without parents on quality of life, depression, anxiety and stress among physiotherapy and rehabilitation students. Material and Methods: A total of 149 Physiotherapy and Rehabilitation students (mean age;19.49±1.04 years) were included in the study, of which 112(%75.2) were away from their parents and 37(%24.8) were living with their parents. Students living away from their parents were grouped as student staying at home and in dormitories. Demographic characteristics of all participants were recorded. Depression, Anxiety and Stress Scale were used for depression, anxiety and stress, and Nottingham Health Profile was used to evaluate quality of life. Mann Whitney U Test was used to compare the results. Findings: Depression, anxiety, stress and quality of life scores were worse among the students living with their parents, but the difference was not statistically significant (p>.05). In students living away from their parents; the anxiety, depression and stress scores of the groups staying in the dormitory or other home environment were similar. (p>.05). Although the quality of life scores of the students living in the dormitory seemed to be worse, the difference was not statistically significant (p=.542). Conclusion: Although different levels of anxiety, stress and quality of life effects were observed in the Physiotherapy and Rehabilitation students, the results of our study showed that this effect was not related to living away from parents or living conditions