Skewness, splitting number and vertex deletion of some toroidal meshes

The skewness sk(G) of a graph G = (V, E) is the smallest integer sk(G) >= 0 such that a planar graph can be obtained from G by the removal of sk(C) edges. The splitting number sp(G) of C is the smallest integer sp(G) >= 0 such that a planar graph can be obtained from G by sp(G) vertex splitting operations. The vertex deletion vd(G) of G is the smallest integer vd(G) >= 0 such that a planar graph can be obtained from G by the removal of vd(G) vertices. Regular toroidal meshes are popular topologies for the connection networks of SIMD parallel machines. The best known of these meshes is the rectangular toroidal mesh C(m) x C(n) for which is known the skewness, the splitting number and the vertex deletion. In this work we consider two related families: a triangulation Tc(m) x c(n) of C(m) x C(n) in the torus, and an hexagonal mesh Hc(m) x c(n), the dual of Tc(m) x c(n) in the torus. It is established that sp(Tc(m) x c(n)) = vd(Tc(m) x c(n) = sk(Hc(m) x c(n)) = sp(Hc(m) x c(n)) = vd(Hc(m) x c(n)) = min{m, n} and that sk(Tc(m) x c(n)) = 2 min {m, n}.

Variation of Patterns of Malocclusion by Site of Pharyngeal Obstruction in Children

Objective: To correlate the type of dental occlusion and the type of pharyngeal lymphoid tissue obstruction in children. Design: Cross-sectional study. Setting: Ambulatory ear, nose, and throat clinic of Faculdade de Medicina da Universidade de Sao Paulo. Patients: One hundred fourteen children aged 3 to 12 years presenting with mouth breathing and snoring due to tonsil and/or adenoid enlargement. Interventions: Oroscopy and nasal fiber pharyngoscopy complemented by lateral head radiography to diagnose the type of obstruction, and clinical examination to evaluate the dental occlusion. Main Outcome Measures: Tonsil and adenoid obstruction (classified from grades 1-4) and sagittal, transverse, and vertical evaluation of dental occlusion. Results: Obstructive enlargement of both tonsils and adenoids was detected in 64.9% of the sample; isolated enlargement of the adenoids, in 21.9%; isolated enlargement of the palatine tonsils, in 7.0%; and nonobstructive tonsils and adenoids, in 6.1%. All types of pharyngeal obstruction were related to a high prevalence of posterior crossbite (36.8%). Statistically significant association was found between sagittal dental occlusion and the site of lymphoid tissue obstruction (P = .02). A higher rate of class II relationship (43.2%) was detected in the group with combined adenoid and tonsil obstructive enlargement. Isolated tonsil obstruction showed a higher rate of class III relationship (37.5%). Conclusions: Different sites of obstruction of the upper airway due to enlarged lymphoid tissue are associated with different types of dental malocclusion. Findings are relevant to orthodontic and surgical decision making in these mouth-breathing patients.

Morphometric evaluation of the sphenopalatine foramen for endonasal surgery

Objective: Ligation of the sphenopalatine artery is used to treat severe nasal haemorrhage. The objective of the study was to investigate the numerical variation of the sphenopalatine foramen (SPF), its relation to the ethmoid bone crista of the palatine bone in the lateral nasal wall, its distance from the anterior nasal spine and the angle between this distance and the anterior nasal floor. Material and Methods: Fifty-four hemiskulls were submitted to anatomical study and measurements using the Image Tool 3.0 software. Results: The SPF was single in 87% of the specimens, and more than one orifice was present in 13%. It was possible to establish a relation with the ethmoid crista, which is a surgical reference for the SIT location. The mean values of the measurements were significantly higher in the hemifaces than in the hemiskulls ranging from 54 to 63mm, and angulation ranged from 20 to 32 degrees. Conclusions: In most specimens studied, the SPF was single and located in the superior nasal meatus. The distances measured suggest that these values can be used as distance references for the use of the endoscope for ligation or endonasal cauterization of the branches of the sphenopalatine artery, preventing possible errors and complications.

Immunohistochemical study of stromal and vascular components of tonsillar polyps: high endothelial venules as participants of the polyp`s lymphoid tissue

Tonsillar polyps are nonneoplastic lesions usually composed of variable amounts of lymphoid and vascular and connective tissues. All of them are generally assumed to be hamartomatous proliferations, but the profile of vascular and connective components has yet to be explored. The vascular system of the tonsils is complex and includes highly specialized structures (i.e., high endothelial venules (HEVs)) involved in lymphocyte homing into lymphoid tissues. In 14 tonsillar polyps and 26 control tonsils, an immunohistochemical study was performed using CD34 (blood vessels and HEVs), MECA-79 (HEVs), D2-40 (lymphatic vessels), Ki-67, collagens I and III, fibronectin, and tenascin-C. The polyps showed increased total lymphatic area, whereas the number of blood vessels and lymphatics and the blood vascular area did not differ significantly from those of control tonsils. Rare Ki-67+ endothelial cells were found. In the polyps, we detected, possibly for the first time, HEVs amid lymphoid tissue, and that the amount of the latter correlated positively with HEV density. The polyps also presented lesser amounts of fibronectin and collagens I and III than in normal tonsils, which were distributed in a disorganized fashion. Tenascin-C expression was uncommon in the polyps and control tonsils. Tonsillar polyps are composed of disorganized connective tissue and lymphatic channels which can be considered hamartomatous proliferations. However, the lymphoid component is possibly reactive due to its relationship with the HEVs. The highly differentiated phenotype of the HEVs and their complex biology are not in agreement with what would be expected for a component of hamartomatous nature.

Prenatal diagnosis of facial clefts : evaluation of a specialised counseling

Résumé: Questions étudiées / principes: Le diagnostic prénatal des fentes faciales et palatines a soulevé maintes questions concernant la meilleure manière d'informer les parents et d'offrir une aide appropriée durant les semaines de grossesse restant, afin de faire de la naissance une expérience positive. Le conseil prénatal diffère selon la personne qui en est responsable et ses connaissances concernant les aspects pratiques des soins ainsi que l'impact de cette malformation sur la qualité de vie de l'enfant. Le but de cette étude est d'évaluer nos techniques actuelles et de les modifier de façon appropriée. Méthodes: 29 couples ayant bénéficié d'un diagnostic prénatal ont été priés de répondre rétrospectivement à un questionnaire. L'histoire obstétrique personnelle ainsi que l'histoire familiale, le déroulement des évènements, la qualité de l'information fournie et leurs impressions à la naissance ont été considérées. Résultats: Les parents utilisent de multiples sources d'information: l'obstétricien, le conseil du chirurgien pédiatrique au sein de I « équipe fente », les groupes de soutien de parents et Internet. 93% des parents se sont sentis bien préparés à la naissance de leur enfant, autant psychologiquement que concernant les aspects pratiques des soins. 54% ont été soulagés de voir leur enfant moins affecté qu'ils ne l'imaginaient. Finalement, 96% considèrent que le diagnostic prénatal est un bénéfice. Conclusion: Une information de base devrait être apportée rapidement après l'ultrason confirmant le diagnostic, suivie de discussions techniques progressivement plus détaillées durant le temps de grossesse restant. Summary: Questions under study / principles: Prenatal diagnosis of cleft lip and palate has raised many questions concerning the best way to inform the parents and offer appropriate support during the remaining pregnancy to help prepare a positive birth experience. Prenatal counseling differs according to whose is responsible and that person's knowledge of practical aspects of care and the impact of the malformation on the child's quality of life. The aim of the study was to evaluate our current techniques and modify them when appropriate. Methods: 29 couples having experienced prenatal diagnosis were asked to respond retrospectively to a questionnaire. Personal obstetric and family history, timing and quality of information provided and their impressions at birth were considered. Results: The parents used several sources of information: the obstetrician, the counsel by the cleft team surgeon, the parents support groups and Internet. 93% of the parents felt well prepared for the birth of their child psychologically and concerning practical aspects of care. 54% felt relieved that their child was less affected than imagined. 96% considered prenatal diagnosis a benefit. Conclusion: Basic information should be provided soon after ultrasound confirmation, followed by progressively more detailed technical discussions over the remaining pregnancy.

Ultrastructure of the membrane attack complex of complement: detection of the tetramolecular C9-polymerizing complex C5b-8.

The ultrastructure of the membrane attack complex (MAC) of complement had been described as representing a hollow cylinder of defined dimensions that is composed of the proteins C5b, C6, C7, C8, and C9. After the characteristic cylindrical structure was identified as polymerized C9 [poly(C9)], the question arose as to the ultrastructural identity and topology of the C9-polymerizing complex C5b-8. An electron microscopic analysis of isolated MAC revealed an asymmetry of individual complexes with respect to their length. Whereas the length of one boundary (+/- SEM) was always 16 +/- 1 nm, the length of the other varied between 16 and 32 nm. In contrast, poly(C9), formed spontaneously from isolated C9, had a uniform tubule length (+/- SEM) of 16 +/- 1 nm. On examination of MAC-phospholipid vesicle complexes, an elongated structure was detected that was closely associated with the poly(C9) tubule and that extended 16-18 nm beyond the torus of the tubule and 28-30 nm above the membrane surface. The width of this structure varied depending on its two-dimensional projection in the electron microscope. By using biotinyl C5b-6 in the formation of the MAC and avidin-coated colloidal gold particles for the ultrastructural analysis, this heretofore unrecognized subunit of the MAC could be identified as the tetramolecular C5b-8 complex. Identification also was achieved by using anti-C5 Fab-coated colloidal gold particles. A similar elongated structure of 25 nm length (above the surface of the membrane) was observed on single C5b-8-vesicle complexes. It is concluded that the C5b-8 complex, which catalyzes poly(C9) formation, constitutes a structure of discrete morphology that remains as such identifiable in the fully assembled MAC, in which it is closely associated with the poly(C9) tubule.

Geometry and physics of catenanes applied to the study of DNA replication.

The concept of ideal geometric configurations was recently applied to the classification and characterization of various knots. Different knots in their ideal form (i.e., the one requiring the shortest length of a constant-diameter tube to form a given knot) were shown to have an overall compactness proportional to the time-averaged compactness of thermally agitated knotted polymers forming corresponding knots. This was useful for predicting the relative speed of electrophoretic migration of different DNA knots. Here we characterize the ideal geometric configurations of catenanes (called links by mathematicians), i.e., closed curves in space that are topologically linked to each other. We demonstrate that the ideal configurations of different catenanes show interrelations very similar to those observed in the ideal configurations of knots. By analyzing literature data on electrophoretic separations of the torus-type of DNA catenanes with increasing complexity, we observed that their electrophoretic migration is roughly proportional to the overall compactness of ideal representations of the corresponding catenanes. This correlation does not apply, however, to electrophoretic migration of certain replication intermediates, believed up to now to represent the simplest torus-type catenanes. We propose, therefore, that freshly replicated circular DNA molecules, in addition to forming regular catenanes, may also form hemicatenanes.

Influence of the primary cleft palate closure on the future need for orthognathic surgery in unilateral cleft lip and palate patients

RESUME : Introduction : L'objectif de cette étude est de déterminer l'influence de la dissection du palais lors de la chirurgie primaire et le type de chirurgie orthognathique requise chez les patients porteurs d'une séquelle de fente labio-maxillo-palatine unilatérale complète Méthode : Cette revue porte sur 58 enfants nés avec une fente labio-maxillo-palatine complète unilatérale et traités entre 1994 et 2008 à Page approprié pour une chirurgie orthognathique. C'est une étude rétrospective longitudinale mixte. Les patients avec des syndromes ou anomalies associées ont été exclus. Tous les patients ont été traités parle même orthodontiste et par la même équipe chirurgicale. Les enfants sont divisés en deux groupes; le premier comprend les patients avec une chirurgie primaire du palais conventionnelle, avec un décollement extensif de la fibro-muqueuse palatine. Le deuxième groupe comprend les patients opérés selon le protocole de Malek. Le palais mou est fermé a |'âge de trois mois, le palais dur à |'âge de six mois, avec un décollement minimal de la tibro-muqueuse palatine. Les radiographies du crâne de profil ainsi que les données chirurgicales ont été comparées. Résultats: La nécessité d'une chirurgie orthognathique est plus élevée dans le premier groupe par rapport au deuxième (60% versus 47,8%). Concernant le type de chirurgie orthognathique réalisé, des ostéotomies Lefort I en deux ou trois pièces ou des ostéotomies bi-maxillaires ont aussi été plus fréquentes dans le premier groupe Conclusion : La chirurgie primaire du palais selon le protocole de Malek améliore le pronostic des patients avec une fente labio-maxillo-palatine. Avec un décollement minimal de la fibro-muqueuse palatine, le nombre d'interventions de chirurgie orthognathique a été diminué. Lorsque ces opérations étaient néanmoins indiquées, elles étaient simplifiées.

Chicken BAFF--a highly conserved cytokine that mediates B cell survival.

Members of the tumor necrosis factor (TNF) family play key roles in the regulation of inflammation, immune responses and tissue homeostasis. Here we describe the identification of the chicken homologue of mammalian B cell activating factor of the TNF family (BAFF/BLyS). By searching a chicken EST database we identified two overlapping cDNA clones that code for the entire open reading frame of chicken BAFF (chBAFF), which contains a predicted transmembrane domain and a putative furin protease cleavage site like its mammalian counterparts. The amino acid identity between soluble chicken and human BAFF is 76%, considerably higher than for most other known cytokines. The chBAFF gene is most strongly expressed in the bursa of Fabricius. Soluble recombinant chBAFF produced by human 293T cells interacted with the mammalian cell-surface receptors TACI, BCMA and BAFF-R. It bound to chicken B cells, but not to other lymphocytes, and it promoted the survival of splenic chicken B cells in culture. Furthermore, bacterially expressed chBAFF induced the selective expansion of B cells in the spleen and cecal tonsils when administered to young chicks. Our results suggest that like its mammalian counterpart, chBAFF plays an important role in survival and/or proliferation of chicken B cells.

Spatial analysis of erythrocyte membrane fluctuations by digital holographic microscopy.

Red blood cell (RBC) membrane fluctuations provide important insights into cell states. We present a spatial analysis of red blood cell membrane fluctuations by using digital holographic microscopy (DHM). This interferometric and dye-free technique, possessing nanometric axial and microsecond temporal sensitivities enables to measure cell membrane fluctuations (CMF) on the whole cell surface. DHM acquisition is combined with a model which allows extracting the membrane fluctuation amplitude, while taking into account cell membrane topology. Uneven distribution of CMF amplitudes over the RBC surface is observed, showing maximal values in a ring corresponding to the highest points on the RBC torus as well as in some scattered areas in the inner region of the RBC. CMF amplitudes of 35.9+/-8.9 nm and 4.7+/-0.5 nm (averaged over the cell surface) were determined for normal and ethanol-fixed RBCs, respectively.

El exilio de la razón: Isabel de Bohemia y Simone Weil ante la ciencia cartesiana

Casi 300 años distancian la correspondencia de Isabel de Bohemia con Descartes de la lectura que del autor hace Simone Weil. Las dos, sin embargo, muestran una sutil comprensión de la aportación cartesiana y un empeño por hacerse cargo del significado de la misma en la constitución de la ciencia moderna, considerando las implicaciones de la sustitución de la geometría por el álgebra. Las dos subrayan también las dificultades queencuentran en el cartesianismo a la hora de enfocar la relación entre autoconocimiento einvestigación del mundo natural, un problema cuyas consecuencias centrarán buena partedel debate teórico del siglo XX.La investigación de las posibles coincidencias entre estas lecturas pretende aportar una perspectiva en la que se clarifican aspectos decisivos tanto del interés de estas autoras por la fundarnentación de la ciencia, como de los términos en los que, desde su origen, seplantean problemas que continúan abiertos.Casi 300 años distancian la correspondencia de Isabel de Bohemia con Descartes de la lectura que del autor hace Simone Weil. Las dos, sin embargo, muestran una sutil comprensión de la aportación cartesiana y un empeño por hacerse cargo del significado de la misma en la constitución de la ciencia moderna, considerando las implicaciones de la sustitución de la geometría por el álgebra. Las dos subrayan también las dificultades que encuentran en el cartesianismo a la hora de enfocar la relación entre autoconocimiento einvestigación del mundo natural, un problema cuyas consecuencias centrarán buena partedel debate teórico del siglo XX.La investigación de las posibles coincidencias entre estas lecturas pretende aportar una perspectiva en la que se clarifican aspectos decisivos tanto del interés de estas autoras por la fundarnentación de la ciencia, como de los términos en los que, desde su origen, seplantean problemas que continúan abiertos.

A recombinant rubella virus E1 glycoprotein as a rubella vaccine candidate.

A recombinant rubella virus E1 (rE1) glycoprotein was produced and some of its chemical and immunological features were characterized. Two animal models were then used to establish that the rE1 glycoprotein and rubella virus particles shared antigenic and immunogenic properties. In the first one, sera from rE1 glycoprotein-immunized BALB/c mice neutralized in vitro rubella virus infection. In the second model, severe combined immune deficient (SCID) mice implanted with tonsil fragments from rubella immune donors and immunized with rE1 glycoprotein produced human anti-rubella virus antibodies. Altogether, these results showed that immunization with rE1 glycoprotein elicited neutralizing anti-rubella virus antibodies. This study thus indicated that the rE1 glycoprotein could constitute a non-replicating rubella vaccine.

El exilio de la razón: Isabel de Bohemia y Simone Weil ante la ciencia cartesiana

Casi 300 años distancian la correspondencia de Isabel de Bohemia con Descartes de la lectura que del autor hace Simone Weil. Las dos, sin embargo, muestran una sutil comprensión de la aportación cartesiana y un empeño por hacerse cargo del significado de la misma en la constitución de la ciencia moderna, considerando las implicaciones de la sustitución de la geometría por el álgebra. Las dos subrayan también las dificultades queencuentran en el cartesianismo a la hora de enfocar la relación entre autoconocimiento einvestigación del mundo natural, un problema cuyas consecuencias centrarán buena partedel debate teórico del siglo XX.La investigación de las posibles coincidencias entre estas lecturas pretende aportar una perspectiva en la que se clarifican aspectos decisivos tanto del interés de estas autoras por la fundarnentación de la ciencia, como de los términos en los que, desde su origen, seplantean problemas que continúan abiertos.Casi 300 años distancian la correspondencia de Isabel de Bohemia con Descartes de la lectura que del autor hace Simone Weil. Las dos, sin embargo, muestran una sutil comprensión de la aportación cartesiana y un empeño por hacerse cargo del significado de la misma en la constitución de la ciencia moderna, considerando las implicaciones de la sustitución de la geometría por el álgebra. Las dos subrayan también las dificultades que encuentran en el cartesianismo a la hora de enfocar la relación entre autoconocimiento einvestigación del mundo natural, un problema cuyas consecuencias centrarán buena partedel debate teórico del siglo XX.La investigación de las posibles coincidencias entre estas lecturas pretende aportar una perspectiva en la que se clarifican aspectos decisivos tanto del interés de estas autoras por la fundarnentación de la ciencia, como de los términos en los que, desde su origen, seplantean problemas que continúan abiertos.

Nasopalatine duct cyst: report of 22 cases and review of the literature

Objectives: Nasopalatine duct cysts (NPDCs) are the most common developmental, epithelial and non-odontogenic cysts of the maxillae. The present study describes the clinicopathological characteristics of 22 NPDCs and discusses their etiology, incidence, treatment and prognosis, with a review of the literature on the subject. Study design: A retrospective observational study was made comprising a period of 36 years (1970-2006), and yielding a series of 22 patients with histopathological confirmation of NPDC. Surgical treatment was carried out under local anesthesia and comprised the dissection and removal of the cyst adopting a usually palatine approach, with the preparation of an enveloping flap from 1.4 to 2.4. Results: No statistically significant correlation was observed between the size of the lesion and patient age, although the size of the cyst differed according to patient gender, with a mean NPDC diameter of 16 mm in males and 12 mm in females. In no case did we observe root reabsorption or loss of vitality of the upper incisors following surgery. The X-ray image was rounded in 15 cases and heart-shaped in the remaining 7 cases. In the majority of cases panoramic X-rays and periapical and occlusal X-rays sufficed to identify the lesion, though computed tomography was used in cases of doubt. Conclusions: The etiology of NPDC is unclear. Simple surgical resection is recommended, followed by clinical and radiological control to ensure correct resolution of the case.

Nasopalatine duct cyst: report of 22 cases and review of the literature

Objectives: Nasopalatine duct cysts (NPDCs) are the most common developmental, epithelial and non-odontogenic cysts of the maxillae. The present study describes the clinicopathological characteristics of 22 NPDCs and discusses their etiology, incidence, treatment and prognosis, with a review of the literature on the subject. Study design: A retrospective observational study was made comprising a period of 36 years (1970-2006), and yielding a series of 22 patients with histopathological confirmation of NPDC. Surgical treatment was carried out under local anesthesia and comprised the dissection and removal of the cyst adopting a usually palatine approach, with the preparation of an enveloping flap from 1.4 to 2.4. Results: No statistically significant correlation was observed between the size of the lesion and patient age, although the size of the cyst differed according to patient gender, with a mean NPDC diameter of 16 mm in males and 12 mm in females. In no case did we observe root reabsorption or loss of vitality of the upper incisors following surgery. The X-ray image was rounded in 15 cases and heart-shaped in the remaining 7 cases. In the majority of cases panoramic X-rays and periapical and occlusal X-rays sufficed to identify the lesion, though computed tomography was used in cases of doubt. Conclusions: The etiology of NPDC is unclear. Simple surgical resection is recommended, followed by clinical and radiological control to ensure correct resolution of the case.