Aortic stenosis. Gender influence on left ventricular geometry and function in patients under 70 years of age

OBJECTIVE: To verify if adaptive left ventricle (LV) characteristics are also present in individuals under 70 years of age with severe aortic stenosis (AS). METHODS: The study comprised 40 consecutive patients under 70 years of age with AS and no associated coronary artery disease, referred for valve surgery. Out of the 40 patients, 22 were men and 18 women, and the mean age was 49.8±14.3 years. Cardiac symptoms, presence of systemic hypertension (SH), functional class according to the New York Heart Association (NYHA), and valve lesion etiology were considered. LV cavity dimensions, ejection fraction (EF), fractional shortening (FS), mass (MS), and relative diastolic thickness (RDT) were examined by Doppler echocardiography. RESULTS: Fourteen (63.6%) men and 11 (61.6%) women were classified as NYHA class III/IV (p=0.70). There was no difference in the frequency of angina, syncope or dyspnea between genders. The incidence of SH was greater in women than in men (10 versus 2, p=0.0044). Women had a smaller LV end-diastolic diameter index (32.1±6.5 x 36.5±5.3mm/m², p=0.027), LV end-systolic diameter index (19.9±5.9 x 26.5±6.4mm/m², p=0.0022) and LV mass index (MS) (211.4±71.1 x 270.9±74.9g/m², p=0.017) when compared with men. EF (66.2±13.4 x 52.0±14.6%, p=0.0032), FS (37.6±10.7 x 27.9±9.6%, p=0.0046) and RDT (0.58±0.22 x 0.44±0.09, p=0.0095) were significantly greater in women than in men. CONCLUSION: It is the patient gender rather than age that influences left ventricular adaptive response to AS.

Left Ventricular Diastolic Function in Essential Hypertensive Patients: Influence of Age and Left Ventricular Geometry

PURPOSE - To evaluate diastolic dysfunction (DD) in essential hypertension and the influence of age and cardiac geometry on this parameter. METHODS - Four hundred sixty essential hypertensive patients (HT) underwent Doppler echocardiography to obtain E/A wave ratio (E/A), atrial deceleration time (ADT), and isovolumetric relaxation time (IRT). All patients were grouped according to cardiac geometric patterns (NG - normal geometry; CR - concentric remodeling; CH- concentric hypertrophy; EH - eccentric hypertrophy) and to age (<40; 40 - 60; >60 years). One hundred six normotensives (NT) persons were also evaluated. RESULTS - A worsening of diastolic function in the HT compared with the NT, including HT with NG (E/A: NT - 1.38±0.03 vs HT - 1.27±0.02, p<0.01), was observed. A higher prevalence of DD occurred parallel to age and cardiac geometry also in the prehypertrophic groups (CR). Multiple regression analysis identified age as the most important predictor of DD (r²=0.30, p<0.01). CONCLUSION - DD was prevalent in this hypertensive population, being highly affected by age and less by heart structural parameters. DD is observed in incipient stages of hypertensive heart disease, and thus its early detection may help in the risk stratification of hypertensive patients.

Contribuição da análise eletrofisiológica e anatômica do circuito atípico da taquicardia atrioventricular nodal

OBJETIVOS: Analisar a condução retrógrada durante os episódios de ritmo juncional ectópico acelerado (JET) e avaliar a existência da relação entre a presença de um bloqueio retrógrado e o risco de desenvolvimento de bloqueio atrioventricular (BAV) durante os procedimentos de ablação por radiofreqüência de pacientes portadores de taquicardia atrioventricular nodal (TAVN). MÉTODOS: Foram 145 pacientes portadores de TAVN, de ambos os sexos, com 16 a 84 anos submetidos à ablação com cateter de radiofreqüência na região póstero-septal do átrio direito. Critérios avaliados: localização anatômica e comportamento eletrofisiológico da condução retrógrada durante TAVN (definindo a taquicardia como típica ou atípica) e monitorização da condução retrógrada durante o JET para eventos de risco para BAV. RESULTADOS: Dos 145 pacientes estudados, 132 (91%) preencheram critérios eletrofisiológicos e anatômicos da forma típica da TAVN e 13 (9%), da atípica. Durante a ablação, 5,3% do grupo das típicas e 30,8% das atípicas apresentaram eventos de risco para BAV. Complicações após ablação foram um episódio de BAV total e outro de BAV de primeiro grau nas típicas e um de BAV de primeiro grau nas atípicas. Os três episódios foram precedidos de eventos de risco que resultaram em uma injúria nodal após procedimento. CONCLUSÃO: Portadores de TAVN atípica apresentaram porcentualmente mais eventos preditores de risco para BAV do que os da típica (p = 0,021), sendo fundamental a observação criteriosa da condução retrógrada durante o JET, afim de se evitar permanente da condução nodal, como o BAVT, após o procedimento ablativo.

Convex and toric geometry to analyze complex dynamics in chemical reaction systems

Convex cone, toric variety, graph theory, electrochemical catalysis, oxidation of formic acid, feedback-loopsbifurcations, enzymatic catalysis, Peroxidase reaction, Shil'nikov chaos

Ricci-flat complex geometry and its applications

Magdeburg, Univ., Fak. für Mathematik, Habil.-Schr., 2010

Adelic convex geometry of numbers

Magdeburg, Univ., Fak. für Mathematik, Diss., 2014

Elements of algebraic geometry and the positive theory of partially commutative groups

The first main result of the paper is a criterion for a partially commutative group G to be a domain. It allows us to reduce the study of algebraic sets over G to the study of irreducible algebraic sets, and reduce the elementary theory of G (of a coordinate group over G) to the elementary theories of the direct factors of G (to the elementary theory of coordinate groups of irreducible algebraic sets). Then we establish normal forms for quantifier-free formulas over a non-abelian directly indecomposable partially commutative group H. Analogously to the case of free groups, we introduce the notion of a generalised equation and prove that the positive theory of H has quantifier elimination and that arbitrary first-order formulas lift from H to H * F, where F is a free group of finite rank. As a consequence, the positive theory of an arbitrary partially commutative group is decidable.

Horospheres in hyperbolic geometry

In this paper we investigate the role of horospheres in Integral Geometry and Differential Geometry. In particular we study envelopes of families of horocycles by means of “support maps”. We define invariant “linear combinations” of support maps or curves. Finally we obtain Gauss-Bonnet type formulas and Chern-Lashof type inequalities.

Continuity of set-valued maps revisited in the light of tame geometry

Continuity of set-valued maps is hereby revisited: after recalling some basic concepts of variational analysis and a short description of the State-of-the-Art, we obtain as by-product two Sard type results concerning local minima of scalar and vector valued functions. Our main result though, is inscribed in the framework of tame geometry, stating that a closed-valued semialgebraic set-valued map is almost everywhere continuous (in both topological and measure-theoretic sense). The result –depending on stratification techniques– holds true in a more general setting of o-minimal (or tame) set-valued maps. Some applications are briefly discussed at the end.

Geometry and physics of knots

KNOTS are usually categorized in terms of topological properties that are invariant under changes in a knot's spatial configuration(1-4). Here we approach knot identification from a different angle, by considering the properties of particular geometrical forms which we define as 'ideal'. For a knot with a given topology and assembled from a tube of uniform diameter, the ideal form is the geometrical configuration having the highest ratio of volume to surface area. Practically, this is equivalent to determining the shortest piece of tube that can be closed to form the knot. Because the notion of an ideal form is independent of absolute spatial scale, the length-to-diameter ratio of a tube providing an ideal representation is constant, irrespective of the tube's actual dimensions. We report the results of computer simulations which show that these ideal representations of knots have surprisingly simple geometrical properties. In particular, there is a simple linear relationship between the length-to-diameter ratio and the crossing number-the number of intersections in a two-dimensional projection of the knot averaged over all directions. We have also found that the average shape of knotted polymeric chains in thermal equilibrium is closely related to the ideal representation of the corresponding knot type. Our observations provide a link between ideal geometrical objects and the behaviour of seemingly disordered systems, and allow the prediction of properties of knotted polymers such as their electrophoretic mobility(5).

Wing geometry as a tool for studying the Lutzomyia longipalpis (Diptera: Psychodidae) complex

Toro Toro (T) and Yungas (Y) have been described as genetically well differentiated populations of the Lutzomyia longipalpis (Lutz & Neiva, 1912) complex in Bolivia. Here we use geometric morphometrics to compare samples from these populations and new populations (Bolivia and Nicaragua), representing distant geographical origins, qualitative morphological variation ("one-spot" or "two-spots" phenotypes), ecologically distinct traits (peridomestic and silvatic populations), and possibly different epidemiological roles (transmitting or nor transmitting Leishmania chagasi). The Nicaragua (N) (Somotillo) sample was "one-spot" phenotype and a possible peridomestic vector. The Bolivian sample of the Y was also "one-spot" phenotype and a demonstrated peridomestic vector of visceral leishmaniasis (VL). The three remaining samples were silvatic, "two-spots" phenotypes. Two of them (Uyuni and T) were collected in the highlands of Bolivian where VL never has been reported. The last one (Robore, R) came from the lowlands of Bolivia, where human cases of VL are sporadically reported. The decomposition of metric variation into size and shape by geometric morphometric techniques suggests the existence of two groups (N/Y/R, and U/T). Several arguments indicate that such subdivision of Lu. longipalpis could correspond to different evolutionary units.

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.

Analysis of the regulation of Nodal function by SPC-mediated cleavage during early mammalian development

RÉSUMÉ Après implantation dans l'utérus, le foetus de mammifère est composé de trois populations différentes de cellules: l'epiblast, l'ectoderme extraembryonnaire et l'endoderme viscéral. Pendant la gastrulation, les cellules de l'epiblast donnent naissance aux trois lignées germinales: l'ectoderme, le mésoderme et l'endodermes. Les lignées germinales produisent par la suite les différents tissus et organes du corps embryonnaire et adulte. Les cellules de l'ectoderme extraembryonnaire donnent par la suite le composant foetal du placenta qui est essentiel à la survie de l'embryon dans l'utérus. L'épiblast et l'ectoderme extraembryonnaire sont entourés par l'endoderme viscéral et forment une structure connue sous le nom de bouton embryonnaire. L'endoderme viscéral joue un rôle important dans l'embryogenèse car il comporte une sous-population de cellules appelées l'endoderme viscéral antérieur dont les signaux influencent l'épiblast adjacent et déterminent le futur axe antéro-postérieur de l'embryon. La protéine de signalisation Nodal de la famille des TGFß est essentielle dans l'épiblast pour spécifier le mésendoderme, l'endoderme viscéral antérieur, ainsi que pour maintenir les cellules souche de l'ectoderme extraembryonnaire. Ainsi, dans les embryons mutants pour Nodal, aucun axe antéro-postérieur n'est établi, les lignées germinales ne sont pas spécifiés et le placenta ne se développe pas. Au niveau moléculaire, comme pour les protéines de la famille des TGFß, Nodal est initialement synthétisée sous forme de précurseur avant d'être clivée de façon endoproteolytique par des protéanes sécrétées, les proprotéines convertases du type subtilisin (SPC), qui suppriment la partie inhibitrice N-terminale du pro peptide. Dans ce contexte, le projet de ma thèse a été d'analyser l'influence des SPC sur la fonction de Nodal en employant une combinaison d'approches génétiques et biochimiques. Premièrement, nous avons constaté que le clivage du précurseur par les protéases active Nodal, mais en même temps augmente son turn-over et diminue la portée de son action. Deuxièmement, dans l'embryon, il apparaît que Nodal est activé par l'action combinée de Furin et de PACE4, deux protéases sécrétées qui sont spécifiquement exprimées dans les cellules de l'ectoderme extraembryonnaire, donc adjacentes au domaine d'expression de Nodal. De manière similaire aux mutants de Nodal, les embryons mutants pour les deux protéases ne forment pas d'endoderme viscéral antérieur et ne gastrulent pas. Cependant, certains gènes cible de Nodal restent exprimés, suggérant que toutes les activités de Nodal ne sont pas dépendent du clivage par les SPCs. En effet, la génération et l'analyse de mutants portant un allèle knock-in qui code pour une forme mutante de Nodal résistante aux SPC, ont montré que ces mutants ont les caractères phénotypique des mutants de Nodal seulement de façon partielle. La formation de mésoderme est partiellement induite, et de façon remarquable, la forme de Nodal résistante aux SPC est capable d'agir à une distance de sa source, maintenant l'expression de ses propres protéases et d'autres gènes essentiels pour la spécification de l'ectoderme extraembryonnaire. Ensemble, ces résultats prouvent que par leur action directe les protéases extraembryonnaire modulent la signalisation de Nodal pendant le développement mammifère précoce. SUMMARY : Early after implantation in the uterus, the mammalian conceptus is composed of three different cell populations: the epiblast, the extraembryonic ectoderm and the visceral endoderm. During gastrulation, epiblast cells give rise to the three embryonic germ layers: the ectoderm, the mesoderm and the endoderm. These germ layers then generate the different tissues and organs of the embryonic and adult bodies. In parallel, extraembryonic ectoderm cells give rise to the fetal component of the placenta, which is essential for the survival of the embryo in the uterus. Both the epiblast and extraembryonic ectoderm are surrounded by the visceral endoderm to form a structure known as the egg cylinder. The visceral endoderm plays an important role as it harbours a subpopulation of cells called the anterior visceral endoderm, from which signals influence the adjacent epiblast and determine the future antero-posterior embryonic axis. The TGFß-related signalling protein Nodal is required within the epiblast to specify the mesoderm, the endoderm,the anterior visceral endoderm and is also essential to maintain stem cells in the extraembryonic ectoderm. Thus, in Nodal null conceptuses, no antero-posterior axis is established, the germ layers are not specified and the placenta does not develop. At the molecular level, Nodal, like related proteins of the TGFß family, is initially synthesized as a precursor and undergoes endoproteolytic cleavage by secreted proteases of the subtilisin-like proprotein convertases (SPC) to remove an inhibitory N-terminal pro peptide. In the embryo, Nodal is activated by the combined action of Furin and PACE4, two secreted SPCs that are specifically expressed in cells of the extraembryonic ectoderm, thus adjacent to the Nodal expression domain. Similar to Nodal null .embryos, mutant embryos lacking both these proteases fail to specify the anterior visceral endoderm and to undergo gastrulation. However, these mutants still express a subset of Nodal target genes, suggesting that part of Nodal activity is independent on cleavage by SPCs. Indeed, by generating and analyzing mutants with a knock-in allele that encodes an SPC-resistant mutant form of Nodal, I could show that they retain a subset of Nodal activities. Mesoderm formation is partially induced, but most remarkably, SPC-resistant Nodal form is able to act at a distance from its source, maintaining the expression of its proteases and of other genes essential for maintenance of the extraembryonic ectoderm.

Vertebrates Limb Geometry in the Simplex space

A novel metric comparison of the appendicular skeleton (fore and hind limb) ofdifferent vertebrates using the Compositional Data Analysis (CDA) methodologicalapproach it’s presented.355 specimens belonging in various taxa of Dinosauria (Sauropodomorpha, Theropoda,Ornithischia and Aves) and Mammalia (Prothotheria, Metatheria and Eutheria) wereanalyzed with CDA.A special focus has been put on Sauropodomorpha dinosaurs and the Aitchinsondistance has been used as a measure of disparity in limb elements proportions to infersome aspects of functional morphology