156 resultados para Convexity


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Meningiomas are the most common benign neoplasm of the brain whereas ectopic presentation, although reported, is rare. Among these ectopic tumors, there are a group of purely intraosseous meningiomas, which usually are diagnosed differentially from common primary osseous tumor such as fibrous dysplasia and osteoid osteoma. We report a 62-year-old female with a history of headaches and 6 months of progressive right parietal bulging, with no neurological signs. Parietal craniotomy was performed with immediate titanium cranioplasty of the parietal convexity. Histopathology exams revealed an ectopic intradiploic meningioma without invasion of cortical layers, with positive staining for progesterone receptors and epithelial membrane antigen. Ectopic intraosseous meningiomas remain a rare neoplasm with only a few cases reported. The main theories to justify the unusual topography appear to be embryological remains of neuroectodermal tissue or cellular dedifferentiation. Surgical treatment seems the best curative option.

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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A revision of the deep-water verticordiid genus Spinosipella is provided, based on conchological and anatomical characters. The genus is considered distinct from Verticordia (of which it was considered a subgenus) based on the strong ribs, prickly surface, reduction of lunula, relative large size, weakly spiral valve shape, and other characters. The following species are considered in the genus: (1) Spinosipella agnes new species, ranging from Florida, USA, to Rio de Janeiro, Brazil, and also including the Porcupine Abyssal Plain in the North Atlantic; (2) S. tinga new species, occurring from Rio de Janeiro to Rio Grande do Sul, Brazil; (3) S. acuticostata (Philippi, 1844), a Pliocene fossil from southern Italy; (4) S. deshayesiana (Fischer, 1862), from south and central Indo-Pacific (S. ericia Hedley, 1911, the type species of the genus, was revealed to be a new synonym of S. deshayesiana); and (5) S. costeminens (Poutiers, 1981), from the tropical west Pacific. The five species differ mainly in conchological details of the number and size of ribs, of the prickly sculpture, shape of the shell, of the hinge and the degree of convexity. Anatomical description is also provided for the two Pacific species, which differ among themselves mainly by the size of the pair of renal folds. From the standpoint of anatomical characters, the more significant are: the wide lithodesma; the elongation of the auricles, crossing the roof of pallial cavity; a tall digital fold in posterior region of supraseptal chamber; the low but wide palps; the muscular, gizzard-like stomach; the complete separation of both constituents of the hermaphroditic gonad (a ventro-posterior testicle and a centro-dorsal ovary), and a complete fusion of the visceral ganglia.

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This work deals with global solvability of a class of complex vector fields of the form L = partial derivative/partial derivative t + (a(x, t)+ ib(x, t))partial derivative/partial derivative x, where a and b are real-valued C-infinity functions, defined on the cylinder Omega = R x S-1. Relatively compact (Sussmann) orbits are allowed. The connection with Malgrange's notion of L-convexity for supports is investigated. (C) 2011 Elsevier Masson SAS. All rights reserved.

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Background: In the literature, there are several experimental models that induce scoliosis in rats; however, they make use of drugs or invasive interventions to generate a scoliotic curve. Objectives: To design and apply a non-invasive immobilization model to induce scoliosis in rats. Methods: Four-week old male Wistar rats (85 +/- 3.3 g) were divided into two groups: control (CG) and scoliosis (SG). The animals in the SG were immobilized by two vests (scapular and pelvic) made from polyvinyl chloride (PVC) and externally attached to each other by a retainer that regulated the scoliosis angle for twelve weeks with left convexity. After immobilization, the abdominal, intercostal, paravertebral, and pectoral muscles were collected for chemical and metabolic analyses. Radiographic reports were performed every 30 days over a 16-week period. Results: The model was effective in the induction of scoliosis, even 30 days after immobilization, with a stable angle of 28 +/- 5 degrees. The chemical and metabolic analyses showed a decrease (p<0.05) in the glycogenic reserves and in the relationship between DNA and total protein reserves of all the muscles analyzed in the scoliosis group, being lower (p<0.05) in the convex side. The values for the Homeostatic Model Assessment of Insulin Resistance indicated a resistance condition to insulin (p<0.05) in the scoliosis group (0.66 +/- 0.03), when compared to the control group (0.81 +/- 0.02). Conclusions: The scoliosis curvature remained stable 30 days after immobilization. The chemical and metabolic analyses suggest changes in muscular homeostasis during the induced scoliosis process.

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Objective: To evaluate numerically the facial profile of children with isolated Pierre Robin sequence (PRS) and to compare them with a control group that has no pathologies and exhibits regular and balanced facial growth, with no skeletal alterations. Patients: Eighty-three children aged 5 to 10 years (PRS group, n = 60; control group, n = 23) were selected. Setting: Hospital for Rehabilitation of Craniofacial Anomalies, University of Sao Paulo (HRAC-USP). Children from the control group were taken from the program of Interceptive Orthodontics at HRAC-USP. Design: Angular and ratio analyses of the facial profiles in both groups were realized through digital photographs. The PRS group was subdivided into two groups-complete and incomplete-according to the sagittal extension of the cleft palate, to investigate the possible influence of cleft extension on the face. Results: The facial convexity angle and the facial inferior third angle were considerably higher in the PRS groups than in the control group and were not significantly different between PRS groups. Nasolabial angle did not differ between groups. Conclusion: The facial profile was more convex in individuals with PRS than in those with regular facial growth and with no pathology. The mandible was responsible for the convexity of the profile in PRS because of its lack off anterior projection. An important relationship between the extension of the cleft palate and alterations in facial profile in PRS was not observed.

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Introduction: This retrospective cephalometric study analyzed the influence of intentional ankylosis of deciduous canines in patients with Class III malocclusion and anterior crossbite, in the deciduous and early mixed dentition stages, treated by orthopedic maxillary expansion followed by maxillary protraction. Methods: Lateral cephalograms of 40 patients were used, divided in 2 groups paired for age and gender. The Ankylosis Group was composed of 20 patients (10 boys and 10 girls) treated with induced ankylosis and presenting initial and final mean ages of 7 years 4 months and 8 years 3 months, respectively, with a mean period of maxillary protraction of 11 months. The Control Group comprised 20 patients (10 boys and 10 girls) treated without induced ankylosis, with initial and final mean ages of 7 years 8 months and 8 years 7 months, respectively, with a mean period of maxillary protraction of 11 months. Two-way analysis of variance and covariance analysis were applied to compare the initial and final cephalometric variables and the treatment changes between groups. Results: According to the results, the variables evidencing the significant treatment changes between groups confirmed that the intentional ankylosis enhanced the sagittal response of the apical bases (Pg-NPerp) and increased the facial convexity angles (NAP and ANB). Conclusions: The protocol involving intentional ankylosis of deciduous canines enhanced the sagittal response of the apical bases.

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[EN]Often some interesting or simply curious points are left out when developing a theory. It seems that one of them is the existence of an upper bound for the fraction of area of a convex and closed plane area lying outside a circle with which it shares a diameter, a problem stemming from the theory of isoperimetric inequalities. In this paper such a bound is constructed and shown to be attained for a particular area. It is also shown that convexity is a necessary condition in order to avoid the whole area lying outside the circle

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This work deals with some classes of linear second order partial differential operators with non-negative characteristic form and underlying non- Euclidean structures. These structures are determined by families of locally Lipschitz-continuous vector fields in RN, generating metric spaces of Carnot- Carath´eodory type. The Carnot-Carath´eodory metric related to a family {Xj}j=1,...,m is the control distance obtained by minimizing the time needed to go from two points along piecewise trajectories of vector fields. We are mainly interested in the causes in which a Sobolev-type inequality holds with respect to the X-gradient, and/or the X-control distance is Doubling with respect to the Lebesgue measure in RN. This study is divided into three parts (each corresponding to a chapter), and the subject of each one is a class of operators that includes the class of the subsequent one. In the first chapter, after recalling “X-ellipticity” and related concepts introduced by Kogoj and Lanconelli in [KL00], we show a Maximum Principle for linear second order differential operators for which we only assume a Sobolev-type inequality together with a lower terms summability. Adding some crucial hypotheses on measure and on vector fields (Doubling property and Poincar´e inequality), we will be able to obtain some Liouville-type results. This chapter is based on the paper [GL03] by Guti´errez and Lanconelli. In the second chapter we treat some ultraparabolic equations on Lie groups. In this case RN is the support of a Lie group, and moreover we require that vector fields satisfy left invariance. After recalling some results of Cinti [Cin07] about this class of operators and associated potential theory, we prove a scalar convexity for mean-value operators of L-subharmonic functions, where L is our differential operator. In the third chapter we prove a necessary and sufficient condition of regularity, for boundary points, for Dirichlet problem on an open subset of RN related to sub-Laplacian. On a Carnot group we give the essential background for this type of operator, and introduce the notion of “quasi-boundedness”. Then we show the strict relationship between this notion, the fundamental solution of the given operator, and the regularity of the boundary points.

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This thesis deals with an investigation of Decomposition and Reformulation to solve Integer Linear Programming Problems. This method is often a very successful approach computationally, producing high-quality solutions for well-structured combinatorial optimization problems like vehicle routing, cutting stock, p-median and generalized assignment . However, until now the method has always been tailored to the specific problem under investigation. The principal innovation of this thesis is to develop a new framework able to apply this concept to a generic MIP problem. The new approach is thus capable of auto-decomposition and autoreformulation of the input problem applicable as a resolving black box algorithm and works as a complement and alternative to the normal resolving techniques. The idea of Decomposing and Reformulating (usually called in literature Dantzig and Wolfe Decomposition DWD) is, given a MIP, to convexify one (or more) subset(s) of constraints (slaves) and working on the partially convexified polyhedron(s) obtained. For a given MIP several decompositions can be defined depending from what sets of constraints we want to convexify. In this thesis we mainly reformulate MIPs using two sets of variables: the original variables and the extended variables (representing the exponential extreme points). The master constraints consist of the original constraints not included in any slaves plus the convexity constraint(s) and the linking constraints(ensuring that each original variable can be viewed as linear combination of extreme points of the slaves). The solution procedure consists of iteratively solving the reformulated MIP (master) and checking (pricing) if a variable of reduced costs exists, and in which case adding it to the master and solving it again (columns generation), or otherwise stopping the procedure. The advantage of using DWD is that the reformulated relaxation gives bounds stronger than the original LP relaxation, in addition it can be incorporated in a Branch and bound scheme (Branch and Price) in order to solve the problem to optimality. If the computational time for the pricing problem is reasonable this leads in practice to a stronger speed up in the solution time, specially when the convex hull of the slaves is easy to compute, usually because of its special structure.

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Innerhalb des Untersuchungsgebiets Schleswig-Holstein wurden 39.712 topographische Hohlformen detektiert. Genutzt wurden dazu ESRI ArcMap 9.3 und 10.0. Der Datenaufbereitung folgten weitere Kalkulationen in MATLAB R2010b. Jedes Objekt wurde räumlich mit seinen individuellen Eigenschaften verschnitten. Dazu gehörten Fläche, Umfang, Koordinaten (Zentroide), Tiefe und maximale Tiefe der Hohlform und Formfaktoren wie Rundheit, Konvexität und Elongation. Ziel der vorgestellten Methoden war die Beantwortung von drei Fragestellungen: Sind negative Landformen dazu geeignet Landschaftseinheiten und Eisvorstöße zu unterscheiden und zu bestimmen? Existiert eine Kopplung von Depressionen an der rezenten Topographie zu geologischen Tiefenstrukturen? Können Senken unterschiedlicher Entstehung anhand ihrer Formcharakteristik unterteilt werden? Die vorgenommene Klassifikation der großen Landschaftseinheiten basiert auf der Annahme, dass sowohl Jungmoränengebiete, ihre Vorflächen als auch Altmoränengebiete durch charakteristische, abflusslose Hohlformen, wie Toteislöcher, Seen, etc. abgegrenzt werden können. Normalerweise sind solche Depressionen in der Natur eher selten, werden jedoch für ehemalige Glaziallandschaften als typisch erachtet. Ziel war es, die geologischen Haupteinheiten, Eisvorstöße und Moränengebiete der letzten Vereisungen zu differenzieren. Zur Bearbeitung wurde ein Detektionsnetz verwendet, das auf quadratischen Zellen beruht. Die Ergebnisse zeigen, dass durch die alleinige Nutzung von Depressionen zur Klassifizierung von Landschaftseinheiten Gesamtgenauigkeiten von bis zu 71,4% erreicht werden können. Das bedeutet, dass drei von vier Detektionszellen korrekt zugeordnet werden können. Jungmoränen, Altmoränen, periglazialeVorflächen und holozäne Bereiche können mit Hilfe der Hohlformen mit großer Sicherheit voneinander unterschieden und korrekt zugeordnet werden. Dies zeigt, dass für die jeweiligen Einheiten tatsächlich bestimmte Senkenformen typisch sind. Die im ersten Schritt detektierten Senken wurden räumlich mit weiterreichenden geologischen Informationen verschnitten, um zu untersuchen, inwieweit natürliche Depressionen nur glazial entstanden sind oder ob ihre Ausprägung auch mit tiefengeologischen Strukturen in Zusammenhang steht. 25.349 (63,88%) aller Senken sind kleiner als 10.000 m² und liegen in Jungmoränengebieten und können vermutlich auf glaziale und periglaziale Einflüsse zurückgeführt werden. 2.424 Depressionen liegen innerhalb der Gebiete subglazialer Rinnen. 1.529 detektierte Hohlformen liegen innerhalb von Subsidenzgebieten, von denen 1.033 innerhalb der Marschländer im Westen verortet sind. 919 große Strukturen über 1 km Größe entlang der Nordsee sind unter anderem besonders gut mit Kompaktionsbereichen elsterzeitlicher Rinnen zu homologisieren.344 dieser Hohlformen sind zudem mit Tunneltälern im Untergrund assoziiert. Diese Parallelität von Depressionen und den teils über 100 m tiefen Tunneltälern kann auf Sedimentkompaktion zurückgeführt werden. Ein Zusammenhang mit der Zersetzung postglazialen, organischen Materials ist ebenfalls denkbar. Darüber hinaus wurden in einer Distanz von 10 km um die miozän aktiven Flanken des Glückstadt-Grabens negative Landformen detektiert, die Verbindungen zu oberflächennahen Störungsstrukturen zeigen. Dies ist ein Anzeichen für Grabenaktivität während und gegen Ende der Vereisung und während des Holozäns. Viele dieser störungsbezogenen Senken sind auch mit Tunneltälern assoziiert. Entsprechend werden drei zusammenspielende Prozesse identifiziert, die mit der Entstehung der Hohlformen in Verbindung gebracht werden können. Eine mögliche Interpretation ist, dass die östliche Flanke des Glückstadt-Grabens auf die Auflast des elsterzeitlichen Eisschilds reagierte, während sich subglazial zeitgleich Entwässerungsrinnen entlang der Schwächezonen ausbildeten. Diese wurden in den Warmzeiten größtenteils durch Torf und unverfestigte Sedimente verfüllt. Die Gletschervorstöße der späten Weichselzeit aktivierten erneut die Flanken und zusätzlich wurde das Lockermaterial exariert, wodurch große Seen, wie z. B. der Große Plöner See entstanden sind. Insgesamt konnten 29 große Depressionen größer oder gleich 5 km in Schleswig-Holstein identifiziert werden, die zumindest teilweise mit Beckensubsidenz und Aktivität der Grabenflanken verbunden sind, bzw. sogar auf diese zurückgehen.Die letzte Teilstudie befasste sich mit der Differenzierung von Senken nach deren potentieller Genese sowie der Unterscheidung natürlicher von künstlichen Hohlformen. Dazu wurde ein DEM für einen Bereich im Norden Niedersachsens verwendet, das eine Gesamtgröße von 252 km² abdeckt. Die Ergebnisse zeigen, dass glazial entstandene Depressionen gute Rundheitswerte aufweisen und auch Elongation und Exzentrizität eher kompakte Formen anzeigen. Lineare negative Strukturen sind oft Flüsse oder Altarme. Sie können als holozäne Strukturen identifiziert werden. Im Gegensatz zu den potentiell natürlichen Senkenformen sind künstlich geschaffene Depressionen eher eckig oder ungleichmäßig und tendieren meist nicht zu kompakten Formen. Drei Hauptklassen topographischer Depressionen konnten identifiziert und voneinander abgegrenzt werden: Potentiell glaziale Senken (Toteisformen), Flüsse, Seiten- und Altarme sowie künstliche Senken. Die Methode der Senkenklassifikation nach Formparametern ist ein sinnvolles Instrument, um verschiedene Typen unterscheiden zu können und um bei geologischen Fragestellungen künstliche Senken bereits vor der Verarbeitung auszuschließen. Jedoch zeigte sich, dass die Ergebnisse im Wesentlichen von der Auflösung des entsprechenden Höhenmodells abhängen.

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Rosai-Dorfman disease (RDD) is a non-neoplastic proliferative histiocytic disorder that primarily affects lymph nodes (sinus histiocytosis with massive lymphadenopathy). Primary RDD of the central nervous system is most uncommon. We report on a 35-year-old man with isolated RDD of the meninges overlying the left cerebral hemisphere. Presenting signs and symptoms included severe progressive ipsilateral headaches of 4 months duration, as well as laboratory evidence of mild non-specific systemic inflammatory reaction. On magnetic resonance imaging, the lesion was seen as a contrast-enhancing, plaque-like thickening of the dura mater over the left convexity,without impinging on adjacent bone or cerebral parenchyma. Meningeal biopsy revealed a mixed mononuclear infiltrate dominated by CD68(+), S100(+), CD1a(-) non-Langerhans type histiocytes on a background of fibrosis. Bacteria, in particular mycobacteria, and fungi were excluded with special stains. Extensive clinical workup, encompassing computed tomography of thoracal and abdominal organs, bone marrow biopsy, and bronchoalveolar lavage failed to reveal any extracranial involvement. Laboratory tests for autoimmunity, including C- and P-antineutrophil cytoplasmic antibodies, antinuclear antibody, and serum rheumatoid factor, were negative. Methylprednisolone therapy induced complete remission of symptoms, with the neuroradiologic status remaining unchanged on follow-up after 2 months. We discuss the complex clinicopathologic differential diagnosis and therapeutic issues of this rare condition. While the correct diagnosis of central nervous system RDD is unlikely to be established without invasive procedures (biopsy), a conservative therapeutic approach may be considered a legitimate option.

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A method is given for proving efficiency of NPMLE directly linked to empirical process theory. The conditions in general are appropriate consistency of the NPMLE, differentiability of the model, differentiability of the parameter of interest, local convexity of the parameter space, and a Donsker class condition for the class of efficient influence functions obtained by varying the parameters. For the case that the model is linear in the parameter and the parameter space is convex, as with most nonparametric missing data models, we show that the method leads to an identity for the NPMLE which almost says that the NPMLE is efficient and provides us straightforwardly with a consistency and efficiency proof. This identify is extended to an almost linear class of models which contain biased sampling models. To illustrate, the method is applied to the univariate censoring model, random truncation models, interval censoring case I model, the class of parametric models and to a class of semiparametric models.

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BACKGROUND: To validate the concept of early implant placement for use in the esthetically sensitive anterior maxilla, clinical trials should ideally include objective esthetic criteria when assessing outcome parameters. METHODS: In this cross-sectional, retrospective 2- to 4-year study involving 45 patients treated with maxillary anterior single-tooth implants according to the concept of early implant placement, a novel comprehensive index, comprising pink esthetic score and white esthetic score (PES/WES; the highest possible combined score is 20), was applied for the objective esthetic outcome assessment of anterior single-tooth implants. RESULTS: All 45 anterior maxillary single-tooth implants fulfilled strict success criteria for dental implants with regard to osseointegration, including the absence of peri-implant radiolucency, implant mobility, suppuration, and pain. The mean total PES/WES was 14.7 +/- 1.18 (range: 11 to 18). The mean total PES of 7.8 +/- 0.88 (range: 6 to 9) documents favorable overall peri-implant soft tissue conditions. The two PES variables facial mucosa curvature (1.9 +/- 0.29) and facial mucosa level (1.8 +/- 0.42) had the highest mean values, whereas the combination variable root convexity/soft tissue color and texture (1.2 +/- 0.53) proved to be the most difficult to fully satisfy. Mean scores were 1.6 +/- 0.5 for the mesial papilla and 1.3 +/- 0.5 for the distal papilla. A mean value of 6.9 +/- 1.47 (range: 4 to 10) was calculated for WES. CONCLUSIONS: This study demonstrated that anterior maxillary single-tooth replacement, according to the concept of early implant placement, is a successful and predictable treatment modality, in general, and from an esthetic point of view, in particular. The suitability of the PES/WES index for the objective outcome assessment of the esthetic dimension of anterior single-tooth implants was confirmed. However, prospective clinical trials are needed to further validate and refine this index.

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AIM To compare dentoskeletal and soft tissue treatment effects of two alternative Class II division 1 treatment modalities (maxillary first permanent molar extraction versus Herbst appliance). METHODS One-hundred-fifty-four Class II division 1 patients that had either been treated with extractions of the upper first molars and a lightwire multibracket (MB) appliance (n = 79; 38 girls, 41 boys) or non-extraction by means of a Herbst-MB appliance (n = 75; 35 girls, 40 boys). The groups were matched on age and sex. The average age at the start of treatment was 12.7 years for the extraction and for 13.0 years for the Herbst group. Pretreatment (T1) and posttreatment (T2) lateral cephalograms were retrospectively analyzed using a standard cephalometric analysis and the sagittal occlusal analysis according to Pancherz. RESULTS The SNA decrease was 1.10° (p = 0.001) more pronounced in the extraction group, the SNB angle increased 1.49° more in the Herbst group (p = 0.000). In the extraction group, a decrease in SNB angle (0.49°) was observed. The soft tissue profile convexity (N-Sn-Pog) decreased in both groups, which was 0.78° more (n. s.) pronounced in the Herbst group. The nasolabial angle increased significantly more (+ 2.33°, p = 0.025) in the extraction group. The mechanism of overjet correction in the extraction group was predominantly dental (65% dental and 35% skeletal changes), while in the Herbst group it was predominantly skeletal (58% skeletal and 42% dental changes) in origin. CONCLUSION Both treatment methods were successful and led to a correction of the Class II division 1 malocclusion. Whereas for upper first molar extraction treatment more dental and maxillary effects can be expected, in case of Herbst treatment skeletal and mandibular effects prevail.