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

Interdental Alveolar Distraction In an Adult Patient with a Unilateral Wide Alveolar Cleft: Case Report

Aim:To demonstrate treatment of an adult patient with a wide unilateral cleft by segmental alveolar distraction using a hyrax screw.Subjects and Methods:An 18 year-old boy presented with a right complete cleft lip and palate; collapsed lateral segments; a retruded position of the premaxilla; and a Class III relationship. Tollowing orthodontic expansion and alignment of the upper teeth the residual width of the cleft was too wide to successfully grafting and it was decided to mesialize the right buccal segment surgically by means of callus distraction using an intraoral tooth-anchored hyrax screw under local anesthesia. After three weeks of activation and a 12 weeks retention period bone grafting was performed.Results:After alveolar grafting the cleft was found to have an osseous closure with adequate soft tissue coverage and the integrity of the maxilla was provided. However, as the skeletal relation was not appropriate for the space closure of the missing lateral incisor the disuse atrophy of the grafted bone could not be prevented.Conclusion:Segmental alveolar distraction can be a good choice in the treatment of adult patients with wide residual alveolar clefts. But, teeth movement is the most important factor in the long term success of the grafted bone

A HISTOMORPHOMETRIC EVALUATION OF THE EFFECTS OF PLATELET-RICH FIBRIN AND RIFAMYCIN IN COMBINATION WITH AN ALLOGRAFT ON BONE AUGMENTATION WITH SIMULTANEOUS IMPLANT PLACEMENT IN RABBIT TIBIA

Objective: To evaluate the potential of platelet-rich fibrin (PRF) and rifamycin to enhance guided bone augmentation with simultaneous high-profile dental implant placement in a rabbit tibia model. Materials and Methods: Dental implants protruding 2 mm were covered with dome-shaped stiff occlusive titanium barriers filled with demineralized freeze-dried bone allograft (DFDBA)+saline (7 rabbits), DFDBA + rifamycin (8 rabbits), or DFDB +PRF (8 rabbits). After 4 weeks, the animals were sacrificed, and undecalcified histomorphometric examination with toluidine blue staining was performed. Results: The bone-to-implant contact (BIC) was 58.43 ± 1.92% in the saline group, 68.3 ±20.37% in the rifamycin group, and 80.70±2.55% in the PRF group, and the percentage of new bone formation was 36.90 ± 0.94%, 45.26±0.60%, and 51.82±0.82%, respectively. Conclusions: Both PRF and rifamycin have potential to enhance GBA, and using DFDBA + PRF or DFDBA+rifamycin beneath a stiff occlusive titanium barrier next to a high-profile implant may enhance both BIC and new bone formation. Keywords: Guided bone augmentation, platelet-rich fibrin, rifamycin, allograft, high-profile dental implant

Effects of hyperbaric oxygen treatment on implant osseointegration in experimental diabetes mellitus

Objective: To evaluate whether hyperbaric oxygen (HBO) treatment has a favorable effect on implant osseointegration in diabetic rabbits. Material and Methods: An experimental diabetes model was induced in 32 New Zealand rabbits through IV injection of alloxan. After the state of diabetes had been confirmed, one dental implant was placed in the metaphysical region of each animal’s tibia. After the implants’ placements, the animals were divided into two groups. Half of the animals underwent HBO treatment, while the other group did not receive HBO treatment and served as the control group. The animals were euthanized at the 4th and 8th weeks. The osseointegration of the implants were compared by histomorphometry and resonance frequency analysis (RFA). Results: The Bone Implant Contact (BIC) values were significantly higher in the HBO group than in the control group at the 4th week. There was no difference in the BIC values between the groups at the 8th week. There was no significant difference in the RFA scores between the groups both at the 4th and 8th weeks after the operation. Conclusion: Histomorphometry findings suggest that HBO has positive effect on implant osseointegration in the early healing period in diabetic rabbits. However, implant stability is not affected by HBO treatment

Effects of Nitric Oxide Synthase Isoforms During Experimental Tooth Movement

Aim:Many systemic/local factors take part in the process of bone-remodeling. Nitric oxide (NO), an important intercellular signal modulator produced by osteoblasts, is a potent regulator of bone-remodeling. The objective of the study was to investigate the effects of different NO-isoforms on bone-remodeling during orthodontic tooth movement.Materials and Methods:66-male, adult Sprague-Dawley rats were randomly divided into 11 groups to determine the effects of three different NO-synthase (NOS) inhibitors. All NOS-inhibitors (iNOS-inhibitor 1400W-dihydrochloride, eNOS-inhibitor L-NIO-dihydrochloride and nNOS-inhibitor Nu)-propyl-L-arginine) were administered in three different doses (10, 30 and 100μg/20μl); the remaining two groups served as control. Mandibular first molars were moved mesially with Ni-Ti closed coil-springs in all groups.Results:The results were evaluated histomorphometrically and parameters of trabecular bone volume (BV/TV), trabecular bone number (Tr.N) and trabecular separation (Tr.Sep) were analyzed at the interradicular bone area of the mandibular first molars. The outcomes of the WinTAS (Trabecular Analyze System, V. 1.2.9) revealed statistically significant alterations in BV/TV, Tr.N and Tr.Sep for the eNOS groups, especially for the 30\ig L-NIO dihydrochloride group.Conclusion:Data suggest that eNOS could be the primary NO-isoenzyme involved in bone-remodeling during orthodontic tooth movement, and optimum dose is in a certain range

Evaluation of The Effects of Angiostatin on Bone During Experimental Tooth Movement

Aim:The undesired movement of anchor teeth and relapse of previously moved teeth are major clinical problems in orthodontics. Angiostatin, a circulating inhibitor of angiogenesis, inhibits progression of osteolytic lesions. The aim of the study was to investigate the effects of different doses of angiostatin on bone-remodeling during orthodontic tooth movement due to determine the clinical utility in preventing undesired tooth movement and relapse.Materials and Method:To determine the effects of angiostatin in bone remodeling during experimental tooth movement, angiostatin was administered to rats at three different doses (Group 1, 2 and 3; 1, 3 and 10jjg/20jjl respectively). Mandibular first molars were moved mesially by means of Ni-Ti closed coil springs in all groups. The results were evaluated histomorphometrically and parameters of trabecular bone volume (BV/TV), trabecular bone number (Tr.N), and trabecular separation (Tr.Sep) were investigated at the interradicular bone area of the mandibular first molars.Results:In the comparison of Group 1 with Group 4 and 5, only the decrease in Tr.Sep was significant. The increase in BV/TV and the decrease in Tr.Sep were significant in the comparison of Group 2 against Group 4. In addition, the decrease in Tr.Sep was also statistically significant in Group 2, compared with Group 5. Increase in BV/TV and Tr.N, and decrease in Tr.Sep were significant in the comparison of Group 3 with Group 4. When Group 3 and Group 5 were compared, the increase in BV/TV and Tr.N, and the decrease in Tr.Sep were also statistically significant.Conclusion:Increases in BV/TV and Tr.N and decreases in Tr.Sep demonstrated the possibility of antiosteoclastic activity of angiostatin in bone remodeling during orthodontic tooth movement. The increase in dose caused an increase in bone apposition and/or inhibition of osteoclastic activity. Angiostatin inhibited the rate of resorption and further investigations with higher doses, different dose sequences and more detailed analyze programs were required to determine the specific effects on bone remodeling

Urbanism and hydraulic installations of Termessos

Cette thèse a pour objectif d’étudier les aménagements hydrauliques de Termessos en Pisidie dont le site montagneux et isolé est dépourvu de sources, en rassemblant le corpus de toutes les structures explorables, et d’en définir l’intérêt technologique et socio-Historique durant l’époque hellénistique et impériale. Après le dépouillement des sources écrites et de la bibliographie moderne, nous avons effectué une exploration détaillée du terrain. Plusieurs méthodes ont été appliquées au cours des six prospections archéologiques qui ont eu lieu entre 2010 et 2013, telles qu’une étude géophysique par radar à pénétration du sol et une analyse par magnétomètre à vapeur (gradiomètre). Nous avons eu également recours à la collaboration interdisciplinaire avec des spécialistes architectes, géographes, géologues, hydrologues et archéologues. Dans le cadre d’une recherche comparative, de nombreux sites antiques ont été visités en Anatolie, en Grèce, en France et en Espagne afin de mieux appréhender l’évolution du système hydraulique dans différentes conditions géographiques. Suite à ces travaux, 162 structures hydrauliques ont été observées et inventoriées. Nous avons identifié deux nouveaux types de citernes antiques, un barrage bien conservé, un édifice de spectacle et l’unique sanctuaire dédié à Pan découvert en Anatolie jusqu’ici. Nous avons interprété les vestiges de deux constructions comme des établissements thermaux. Force est de constater que face à un milieu naturel hostile, les Termessiens ont romanisé leur ville en effectuant des travaux considérables, leur permettant de couvrir leurs besoins en eau et d’accéder au niveau de vie urbain de l’époque impériale romaine.The aim of this PhD is not only to focus on Termessos' hydraulic settlement, which has been erected on a sourceless location, but also to examine all explorable structures in order to define their socio-Historical interest and highlight their value to the understanding of hellenistic and roman times. We have started by studying the written sources and by conducting extensive research on site. Different technics have been employed such as georadar technology (Ground Penetration Radar, GPR) and vapour magnetometer (gradiometer) in order to collect data during the six archaeological prospections which took place between 2010 and 2013. Researchers from various disciplines have brought their expertise to this work : architects, geographers, geologists, hydrologists and archaeologists. During this investigation, many ancient sites have been explored in Anatolia, Greece, France and Spain in order to understand the evolution of the hydraulic system with regard to geographical requirements. Followings this, 162 hydraulic structures have been studied and registered. The irrigation and water supply network as well as the sewerage system have been restored. We have discovered two new types of ancient tank, a well preserved water dam, an entertainment building and the only sanctuary dedicated to Pan found in Anatolia so far. The remains of two establishments have been interpreted as thermal baths. Most of all, and despite a challenging natural environment, the Termessians have romanized their city by carrying out great major construction projects allowing them to fulfill their water needs and to celebrate their power

Bir Türk linyitinin akışkan yatakta yanmasıyla üretilen uçucu külün katkılı çimento üretiminde kullanımı..

Fly ashes generated from fluidized bed combustion of low calorific value, high ash content Turkish lignites are characterized by high content of acidic oxides, such as SiO2, Al2O3 and Fe2O3, varying in the range 50-70%. However, there exists no study for the investigation of the possibility of using these ashes as concrete admixture. Therefore, in this study, characterization of fly ashes from fluidized bed combustion of a Turkish lignite and evaluation of these fly ashes as a substitute for Portland cement in production of pastes and mortars were carried out. The samples were subjected to chemical, physical, mineralogical and morphological analyses. Results of chemical and physical analyses of three fly ash samples show that they satisfy the requirements of EN 197-1, EN 450 and ASTM C 618, except for CaO and SO3, owing to high content of acidic oxides of these ashes contrary to majority of FBC fly ashes reported in the literature. In addition to characterization studies, water requirement, compressive strength, setting time and soundness tests were also performed for 10%, 20% and 30% fly ash-cement blends and the reference cement. Results of these tests reveal that the blends meet compressive strength, setting time and soundness requirements of ASTM C 595 without any pre-hydration treatment, and that fly ashes from fluidized bed combustion of Turkish lignites have significant potential for utilization as an admixture in manufacture of blended cements.M.S. - Master of Scienc

Effects of Zoledronic Acid on Physiologic Bone Remodeling of Condylar Part of TMJ: A Radiologic and Histomorphometric Examination in Rabbits

Objective. The purpose of the present study is to evaluate the effects of systemically administered zoledronic acid (ZA) on the physiological bone remodeling and the microarchitectural parameters of the condylar part of TMJ in a rabbit model. Study Design. Thirty skeletally mature male New Zealand white rabbits were randomly divided into two groups. The experimental group was administered an intravenous, single dose of 0.1 mg/kg ZA diluted with 15 mL of saline in a 15-minute perfusion with an infusion pump. The control group was administered only saline infusion for 15 minutes. All rabbits were sacrificed on the 21st postoperative day. Radiodensitometric and histomorphometric examinations were performed on the harvested mandibular condyles. The data were analyzed statistically. Results. Radiodensitometric findings showed that ZA treatment resulted in a significant increase in the mineralization of mandibular condyle. This result was supported by the histomorphometric findings. Conclusion. The present study has revealed that a temporary delay in the physiological bone remodeling using single dose of ZA increases bone mineral content and makes the microarchitecture of the mandibular condyle more compact. These effects may be regarded as base data and considered in numerous clinical situations including TMJ