O diagnóstico da obstrução da via de saída do ventrículo esquerdo na cardiomiopatia hipertrófica

A cardiomiopatia hipertrófica é uma doença genética prevalente caracterizada por hipertrofia ventricular esquerda, em que obstrução dinâmica da via de saída com geração de gradiente subaórtico incide em repouso em 30% dos casos. A obstrução é atribuida complexa interação entre o folheto anterior mitral, o septo interventricular e vetores anômalos de fluxo gerados no ventrículo esquerdo aliada a modificações na geometria da via de saída. Regurgitação mitral em grau variável é detectada associada ou não a deformidades estruturais do aparelho valvar. O ecocardiograma de esforço demonstra obstrução latente facilmente induzida por exercício em 60 a 75% das formas não obstrutivas. A determinação do gradiente nessas condições impõe-se na investigação de rotina dos pacientes com obstrução leve ou ausente em repouso. A avaliação da cardiomiopatia hipertrófica incorpora métodos de imagem baseados no ultrassom, os quais, adicionados ressonância magnética, possibilitam o reconhecimento de mecanismos geradores de obstrução ventricular, de modo a favorecer o diagnóstico e o manejo das formas obstrutivas e obstrutivas latentes.

Sildenafil vs. Nitroprussiato de Sódio durante Teste de Reatividade Pulmonar pré-transplante cardíaco

FUNDAMENTO: A hipertensão pulmonar é associada ao pior prognóstico no pós-transplante cardíaco. O teste de reatividade pulmonar com Nitroprussiato de Sódio (NPS) está associado a elevados índices de hipotensão arterial sistêmica, disfunção ventricular do enxerto transplantado e elevadas taxas de desqualificação para o transplante. OBJETIVO: Neste estudo, objetivou-se comparar os efeitos do Sildenafil (SIL) e NPS sobre variáveis hemodinâmicas, neuro-hormonais e ecocardiográficas durante teste de reatividade pulmonar. MÉTODOS: Os pacientes foram submetidos, simultaneamente, ao cateterismo cardíaco direito, ao ecocardiograma e à dosagem de BNP e gasometria venosa, antes e após administração de NPS (1 - 2 µg/Kg/min) ou SIL (100 mg, dose única). RESULTADOS: Ambos reduziram a hipertensão pulmonar, porém o nitrato promoveu hipotensão sistêmica significativa (Pressão Arterial Média - PAM: 85,2 vs. 69,8 mmHg, p < 0,001). Ambos reduziram as dimensões cardíacas e melhoraram a função cardíaca esquerda (NPS: 23,5 vs. 24,8 %, p = 0,02; SIL: 23,8 vs. 26 %, p < 0,001) e direita (SIL: 6,57 ± 2,08 vs. 8,11 ± 1,81 cm/s, p = 0,002; NPS: 6,64 ± 1,51 vs. 7,72 ± 1,44 cm/s, p = 0,003), medidas pela fração de ejeção ventricular esquerda e Doppler tecidual, respectivamente. O SIL, ao contrário do NPS, apresentou melhora no índice de saturação venosa de oxigênio, medido pela gasometria venosa. CONCLUSÃO: Sildenafil e NPS são vasodilatadores que reduzem, de forma significativa, a hipertensão pulmonar e a geometria cardíaca, além de melhorar a função biventricular. O NPS, ao contrário do SIL, esteve associado a hipotensão arterial sistêmica e piora da saturação venosa de oxigênio.

O conduto valvulado bovino contegra, um biomaterial para o tratamento cirúrgico de cardiopatias congênitas

O Contegra, um enxerto de veia jugular bovina, tem sido amplamente utilizado como biomaterial de preferência no tratamento cirúrgico das cardiopatias congênitas, especialmente como um conduto para a reconstrução da via de saída ventricular direita. Este artigo tem como objetivo fazer uma revisão abrangente sobre os desfechos clínicos do Contegra. Foram recuperados, coletados e analisados, relatos de Contegra publicados desde 2002. Havia 1.718 Contegra, aplicados em 1.705 pacientes. Os tamanhos dos condutos foram de 8-22 mm. As idades dos pacientes foram de recém-nascidos até 74,5 anos, com prevalência de pacientes pediátricos. O diagnóstico primário foi cardiopatia congênita em todos os casos, sendo os três diagnósticos principais: tetralogia de Fallot, tronco arterioso e atresia pulmonar, que representaram 25,6%, 16,7% e 13,1%, respectivamente. O Contegra foi utilizado como enxerto tubular na posição pulmonar em 1635 (95,9%) pacientes, como remendo monocúspide em 12 (0,7%), como enxerto na posição da valva pulmonar ou monocúspide em 40 (2,3%), e, como conduto artéria pulmonar-veia cava inferior na operação de Fontan, em 18 (1,1%) pacientes, respectivamente. O reimplante de conduto foi realizado em 141 (8,3%) pacientes, 33,8 ± 37 (8,6-106,8) meses após a inserção do conduto inicial. A plástica do conduto foi necessária em seis (0,4%) e a reintervenção em 83 (4,9%) dos pacientes. As indicações do reimplante do conduto incluíram estenose importante da anastomose distal, pseudoaneurisma da anastomose proximal e regurgitação importante do conduto. Quanto ao bom desempenho, disponibilidade e longevidade, o Contegra é um biomaterial adequado para a reconstrução da via de saída ventricular direita e como remendo para reparo de comunicação interventricular, mas não é apto para a operação de Fontan.

Impacto do padrão geométrico ventricular na remodelação cardíaca após o infarto do miocárdio

FUNDAMENTO: A relevância do padrão de geometria após o infarto do miocárdio não é conhecida. OBJETIVOS: Analisar a presença de diferentes padrões de geometria ventricular esquerda (VE) e seu impacto como preditor de remodelação em pacientes com infarto do miocárdio. MÉTODOS: Pacientes com infarto agudo anterior (n = 80) foram divididos de acordo com o padrão de geometria: normal (índice de massa [IMVE] normal e espessura relativa da parede [ERP] normal), remodelação concêntrica (IMVE normal e ERP aumentada), hipertrofia concêntrica (IMVE e ERP aumentadas) e hipertrofia excêntrica (IMVE aumentado e ERP normal). Após seis meses, foi repetido o ecocardiograma. RESULTADOS: Quatro pacientes foram a óbito. Dos sobreviventes, 41 apresentaram remodelação (R+), enquanto 39 não remodelaram (R-). Considerando-se o padrão geométrico, houve a seguinte distribuição: 24 pacientes com padrão normal, 13 com remodelação concêntrica, 29 com hipertrofia concêntrica e 14 com hipertrofia excêntrica. Os pacientes que remodelaram apresentaram maiores tamanhos de infarto analisados pelo pico da CPK (R+ = 4.610 (1.688 - 7.970), R- = 1.442 (775 - 4.247), p < 0,001) e da CK-MB (R+ = 441 (246 - 666), R- = 183 (101 - 465), p < 0,001), tendência a maior prevalência de remodelação concêntrica (R+ = 10, R- = 3, p = 0,08) e menor prevalência de hipertrofia excêntrica (R+ = 2, R- = 12, p = 0,006). Na análise de regressão multivariada, o tamanho do infarto foi preditor (OR = 1,01; p = 0,020) e a hipertrofia excêntrica foi fator protetor (OR = 0,189; p = 0,046) de remodelação ventricular após a oclusão coronariana. CONCLUSÃO: O padrão de geometria ventricular pode ter impacto no processo de remodelação em pacientes com infarto do miocárdio.

Modelling and analysis of a production plant for low density polyethylene

Dynamic model, tubular reactor, polyethylene, LDPE, discretization, simulation, sensitivity analysis, nonlinear analysis

Estudos citológicos em Hemíoteros da família Coreidae

A more or less detailed study of the spermatogenesis in six species of Hemiptera belonging to the Coreid Family is made in the present paper. The species studied and their respective chromosome numbers were: 1) Diactor bilineatus (Fabr.) : spermatogonia with 20 + X, primary spermatocytes with 10 + X, X dividing equationaliv in the first division and passing undivided to one pole in the second. 2) Lcptoglossus gonagra (Fabr.) : spermatogonia with 20 + X, primary spermatocytes with 10 + X, X dividing equationally in the first division and passing undivided to one pole in the second. 3) Phthia picta (Drury) : spermatogonia with 20 + X, primary spermatocytes with 10 + X, X dividing equationally in the first division and passing undivided to one pole in the second. 4) Anisocelis foliacea Fabr. : spermatogonia with 26 + X fthe highest mumber hitherto known in the Family), primary .spermatocytes with 13 + X, X dividing equationally in the first division an passing undivided to one pole in the second. 5) Pachylis pharaonis (Herbtst) : spermatogonia with 16 + X, primary spermatocytes with 8 + X. Behaviour of the heteroehromosome not referred. 6) Pachylis laticornis (Fabr.) : spermatogonia with 14 + X, primary spermatocytes with 7 + X, X passing undivided to one pole in the first division and therefore secondary spermatocytes with 7 + X and 7 chromosomes. General results and conclusions a) Pairing modus of the chromosomes (Telosynapsis or Farasynapsis ?) - In several species of the Coreld bugs the history of the chromosomes from the diffuse stage till diakinesis cannot be follewed in detail due specially to the fact that lhe bivalents, as soon as they begin to be individually distinct they appear as irregular and extremely lax chromatic areas, which through an obscure process give rise to the diakinesis and then to the metaphase chomosomes. Fortunately I was able to analyse the genesis of the cross-shaped chromosomes, becoming thus convinced that even in the less favorable cases like that of Phthia, in which the crosses develop from four small condensation areas of the diffuse chromosomes, nothing in the process permit to interpret the final results as being due to a previous telosynaptic pairing. In the case of long bivalents formed by two parallel strands intimately united at both endsegments and more or less widely open in the middle (Leptoglossus, Pachylis), I could see that the lateral arms of the crosses originate from condensation centers created by a torsion or bending in the unpaired parts of the chromosomes In the relatively short bivalents the lateral branches of the cross are formed in the middle but in the long ones, whose median opening is sometimes considerable, two asymetrical branches or even two independent crosses may develop in the same pair. These observations put away the idea of an end-to-end pairing of the chromosomes, since if it had occured the lateral arms of the crosses would always be symetrical and median and never more than two. The direct observation of a side- toside pairing of the chromosomal threads at synizesis, is in foil agreement with the complete lack of evidence in favour of telosynapsis. b) Anaphasic bridges and interzonal connections - The chromosomes as they separate from each other in anaphase they remain connected by means of two lateral strands corresponding to the unpaired segmenas observed in the bivalents at the stages preceding metaphase. In the early anaphase the chromosomes again reproduce the form they had in late diafcinesis. The connecting threads which may be thick and intensely coloured are generally curved and sometimes unequal in lenght, one being much longer than the other and forming a loop outwardly. This fact points to a continuous flow of chromosomal substance independently from both chromosomes of the pair rather than to a mechanical stretching of a sticky substance. At the end of anaphase almost all the material which formed the bridges is reduced to two small cones from whose vertices a very fine and pale fibril takes its origin. The interzonal fibres, therefore, may be considered as the remnant of the anaphasic bridges. Abnormal behaviour of the anaphase chromosomes showed to be useful in aiding the interpretation of normal aspects. It has been suggested by Schrader (1944) "that the interzonal is nothing more than a sticky coating of the chromosome which is stretched like mucilage between the daughter chromosomes as they move further and further apart". The paired chromosomes being enclosed in a commom sheath, as they separate they give origin to a tube which becomes more and more stretched. Later the walls of the tube collapse forming in this manner an interzonal element. My observations, however, do not confirm Schrader's tubular theory of interzonal connections. In the aspects seen at anaphase of the primary spermatocytes and described in this paper as chromosomal bridges nothing suggests a tubular structure. There is no doubt that the chromosomes are here connected by two independent strands in the first division of the spermatocytes and by a single one in the second. The manner in which the chromosomes separate supports the idea of transverse divion, leaving little place for another interpretation. c) Ptafanoeomc and chromatoid bodies - The colourabtlity of the plasmosome in Diactor and Anisocelis showed to be highly variable. In the latter species, one may find in the same cyst nuclei provided with two intensely coloured bodies, the larger of which being the plasmosome, sided by those in which only the heterochromosome took the colour. In the former one the plasmosome strongly coloured seen in the primary metaphase may easily be taken for a supernumerary chromosome. At anaphase this body stays motionless in the equator of the cell while the chromosomes are moving toward the poles. There, when intensely coloured ,it may be confused with the heterochromosome of the secondary spermatocytes, which frequently occupies identical position in the corresponding phase, thus causing missinterpretation. In its place the plasmosome may divide into two equal parts or pass undivided to one cell in whose cytoplasm it breaks down giving rise to a few corpuscles of unequal sizes. In Pachylis pharaonis, as soon as the nuclear membrane breate down, the plasmosome migrates to a place in the periphery of the cell (primary spermatocyte), forming there a large chromatoid body. This body is never found in the cytoplasm prior to the dissolution of the nuclear membrane. It is certain that chromatoid bodies of different origin do exist. Here, however, we are dealing, undoubtedly, with true plasmosomes. d) Movement of the heterochromosome - The heterochromosome in the metaphase of the secondary spermatocytes may occupy the most different places. At the time the autosomes prient themselves in the equatorial plane it may be found some distance apart in this plane or in any other plane and even in the subpolar and polar regions. It remains in its place during anaphase. Therefore, it may appear at the same level with the components of one of the anaphase plates (synchronism), between both plates (succession) or between one plate and tbe pole (precession), what depends upon the moment the cell was fixed. This does not mean that the heterochromosome sometimes moves as quickly as the autosomes, sometimes more rapidly and sometimes less. It implies, on the contrary, that, being anywhere in the cell, the heterochromosome m he attained and passed by the autosomes. In spite of being almost motionless the heterochromosome finishes by being enclosed in one of the resulting nuclei. Consequently, it does move rapidly toward the group formed by the autosomes a little before anaphase is ended. This may be understood assuming that the heterochromosome, which do not divide, having almost inactive kinetochore cannot orient itself, giving from wherever it stays, only a weak response to the polar influences. When in the equator it probably do not perform any movement in virtue of receiving equal solicitation from both poles. When in any other plane, despite the greater influence of the nearer pole, the influence of the opposite pole would permit only so a slow movement that the autosomes would soon reach it and then leave it behind. It is only when the cell begins to divide that the heterochromosome, passing to one of the daughter cells scapes the influence of the other and thence goes quickly to join the autosomes, being enclosed with them in the nucleus formed there. The exceptions observed by BORING (1907) together with ; the facts described here must represent the normal behavior of the heterocromosome of the Hemiptera, the greater frequency of succession being the consequence of the more frequent localization of the heterochromosome in the equatorial plane or in its near and of the anaphase rapidity. Due to its position in metaphase the heterochromosome in early anaphase may be found in precession. In late anaphase, oh the contrary ,it appears almost always in succession. This is attributed to the fact of the heterochromosome being ordinairily localized outside the spindle area it leaves the way free to the anaphasic plate moving toward the pole. Moreover, the heterochromosome being a round element approximately of the size of the autosomes, which are equally round or a little longer in the direction of the movement, it can be passed by the autosomes even when it stands in the area of the spindle, specially if it is not too far from the equatorial plane. e) The kinetochore - This question has been fully discussed in another paper (PIZA 1943a). The facts treated here point to the conclusion that the chromosomes of the Coreidae, like those of Tityus bahiensis, are provided with a kinetochore at each end, as was already admitted by the present writer with regard to the heterochromosome of Protenor. Indeed, taking ipr granted the facts presented in this paper, other cannot be the interpretation. However, the reasons by which the chromosomes of the species studied here do not orient themselves at metaphase of the first division in the same way as the heterochromosome of Protenor, that is, with the major axis parallelly to the equatorial plane, are claiming for explanation. But, admiting that the proximity of the kinetochores at the ends of chromosomes which do not separate until the second division making them respond to the poles as if they were a single kinetochore ,the explanation follows. (See PIZA 1943a). The median opening of the diplonemas when they are going to the diffuse stage as well as the reappearance of the bivalents always united at the end-segments and open in the middle is in full agreement with the existence of two terminal kinetochores. The same can be said with regard to the bivalents which join their extremities to form a ring.

Sôbre a expressão hr1 + kr2 + Ir3 = 0

Por meio da projeção estereográfica e geometria analítica é apresentada uma nova dedução da expressão hr1 + kr2 + lr3 = 0.

Estrutura floral das angiospermas usadas por Heliconius erato phyllis (Lepidoptera, Nymphalidae) no Rio Grande do Sul, Brasil

A field survey of flowering plants used as food resource by the adults of Heliconius erato phyllis (Fabricius, 1775) was carried out in four sites located in Rio Grande do Sul state, Brazil. Samples were taken in preserved areas of the Atlantic Rain and Myrtaceae forests, an Eucalyptus plantation, and an urban park. Adult feeding frequencies on flowers were registered monthly from December 1996 to May 1997, on plants located on previously marked 200 m long transects. Flowers on which H. erato phyllis fed in the field were collected, drawn and morphometrically characterized. Feeding was registered on flowers of twenty-three species, of which seventeen are new records for H. erato in Brazil . The use of a given plant varied among localities, as a function of its corresponding abundance. The most visited flowers were those of Lantana camara L. and Stachytarpheta cayennensis (Rich.) Vahl, followed by Dahliapinnata Voss in the urban site. The data suggest the existence of size and shape convergence between the proboscis and the small, tubular flowers upon which H. eratophyllis feeds. They also indicate that H. eratophyllis adults have an opportunistic nectar feeding / pollen gathering habit, using several of those flowers available in a given time and locality that fit such a morphometrical pattern. Since plant species of both primitive and derived families are used, there is no indication that phylogenetic constraints play a major role in this association, nor that color of flowers, growth pattern or size of the plants are relevant in determining their use by H. erato phyllis.

Histologia e ultra-estrutura do vaso dorsal de Scaptotrigona postica (Hymenoptera, Apidae) em operárias e rainhas de diferentes idades

O vaso dorsal é um órgão tubular localizado na região mediano-dorsal do corpo dos insetos, abaixo do tegumento. Fez-se um estudo de microscopia de luz e eletrônica de transmissão da porção abdominal do vaso dorsal, o coração, em uma espécie de abelha indígena. Foram estudadas operárias e rainhas em diferentes idades. O coração está localizado no sinus pericárdico. A parede cardíaca é formada por fibras musculares estriadas e apresenta aberturas ou ostíolos providos de válvulas. A fibra cardíaca contém miofibrilas arranjadas irregularmente, núcleos alongados ou redondos, mitocôndrias grandes e numerosas, e depósitos de glicogênio. Em operárias e rainhas longevas, as fibras encontram-se em degeneração, evidenciada por vacúolos autofágicos, alterações mitocondriais e acúmulo de corpos mielínicos. Em conclusão, o coração de Scaptotrigona postica é semelhante ao de outros insetos estudados. As alterações encontradas estão relacionadas ao processo de envelhecimento e mantêm relação temporal com a expectativa de vida da casta.

Estructura del aparato reproductor masculino de Uca uruguayensis (Decapoda, Ocypodidae)

The structure of the male reproductive tract was described in Uca uruguayensis Nobili, 1901, by using histological methods, scanning electron microscopy techniques, and stereoscopic observations of fresh material. The aim of this work was to establish the functional changes associated with sexual maturation. The morphology of the first (G1) and second (G2) pair of gonopods was described. The male reproductive tract consists of paired organs: testes, and tubular and convoluted vas deferens (VD) ending with a terminal ampoule (TA).The (VD) is composed of three parts: anterior (AVD), medial (MVD) and posterior (PVD). The AVD and MVD are lined by a single layer of cubical cells. The PVD epithelial cells are columnar with elongated nuclei. The terminal ampoule comprises four interconnecting chambers and is externally surrounded by connective tissue. The study of testes and vas deferens at different times along the year suggests that U. uruguayensis has a single and continuous reproductive season from December to March. The TA has not been described in other brachyurans and this structure is novel to Brachyura.

Novo gênero Neotropical de Spintharinae (Araneae, Theridiidae)

Neopisinus gen. nov. é proposto com designação da espécie-tipo Neopisisnus fiapo sp. nov., com base em ambos os sexos, do Rio Grande do Sul, Brasil. Neopisinus distingue-se de todos os gêneros de Spintharinae pelo palpo do macho com enorme condutor trífido, com duas projeções afiladas e uma com ápice bifurcado; pela forma característica da apófise tegular de theridioideos com um lobo terminal e outro dorsal. Nas fêmeas, epígino com aberturas inconspícuas junto à fenda transversal no terço anterior e, internamente, por um espessamento mediano-longitudinal tubular, por onde correm os ductos de copulação em seu percurso inicial. Neopisinus urucu sp. nov. é descrita do norte do Brasil, com base em ambos os sexos. Sete espécies são transferidas de Episinus para Neopisinus: N. bigibbosus (O. P.-Cambridge, 1896), N. bruneoviridis (Mello-Leitão, 1948), N. cognatus (O. P.-Cambridge, 1893), N. gratiosus (Bryant, 1940), N. longipes (Keyserling, 1884), N. putus (O. P.-Cambridge, 1894) e N. recifensis (Levi, 1964). São descritos pela primeira vez o macho de N. longipes e a fêmea de N. recifensis. Novas ocorrências e ilustrações são apresentadas para N. bruneoviridis.

Sobre a morfologia e ciclo evolutivo dos flagelados do genero Metasaccinobaculus n. gen. (Polymastigina, Oxymonadidae) do termita Kalotermes (Neotermes) Wagneri, Desneux, 1904, com a descrição de duas espécies novas

1) O A. descreve, no presente trabalho duas novas espécies de um novo gênero de flagelados (Metasaccinobaculus), colocado entre os Oxymo-nadidae, 2) Morfológicamente, caracterizam-se pela existência de um rostelo que juntamente com o aspecto geral e as esferas endoplasmáticas os aproxima dos oximonadideos, e pela presença de um axostilo ondulante dotado de movementos enérgicos, únicos responsáveis pela locomoção do protozoário. Os flagelos foram definitivamente perdidos. 3) No seu ciclo evolutivo o protozoário apresenta duas fórmas perfeitamente distintas: uma fórma jovem que nada livremente no fluido intes¬tinal do termita e uma fórma adulta, fixa pelo rostelo na parede do tubo digestivo do hospedeiro. A forma adulta e sacciforme, com um longo rostelo em cuja extremidade anterior existe um disco de fixação. O ectoplasma é espesso sobretudo na extremidade posterior, e o endoplasma cheio de esferas pardas. O componente cinético extranuclear é constituído por um axostilo ondulante muito cromófilo, por vêzes franjados nos bordos e preso a parede do corpo por uma estrutura tubular. Além desta organela, observa-se ainda dois sistema fibrilares. O primeiro é constituído de fibras rostelares e que ligam a porção ondulante do axostilo à extremidade do rostelo. O outro que denominamos fibrilas cromófobas independentes, nascem na extremidade do rostelo, percorrendo-o lateralmente em tôda a sua extensão e atingindo o corpo, onde se resolvem em feixes secundários que se espalham em todas as direções. O núcleo é formado de traves grosseiras de cromatina, formando um re¬tículo muito irregular. A forma jovem é muito menor, com rostelo e fibrilas cromófobas rudimentares. O axostilo ondulante relativamente muito desenvolvido, se fixa na extremidade posterior. Com o crescimento, este ponto vai-se deslocando em direção à região anterior do corpo. Nota-se perto do ponto de inserção, uma bainha de filamentos finíssimos envolvendo a porção tubular posterior do axostilo, bastante semelhante são de Saccinobaculus. O endoplasma é fortemente cromófilo, mas sem esferas. O núcleo a principio formado de granulos muito finos de cromatina e uniformemente dispersos, apresenta uma ou mais estruturas envolvidas por um halo claro, com a aparência de cariosoma. Cêdo porém desaparecem. 4) Antes da mitose, que é muito semelhante a de O. grandis, o núcleo desprende-se e caí na porção posterior do corpo, por degeneração de tôdas as organelas cinéticas extranucleares. A membrana nuclear persiste. Forma-se um fuso central muito desenvolvido. Os cromosomas são em número imenso, muito finos e irregulares. No lugar onde deveriam estar presentes os centríolos, vê-se um espaço claro circular na superfície do qual se inserem as fibrilas do fuso. Os novos axostilos ondulantes e demais organelas se formam nos pólos da figura mitótica, a partir dos centríolos perceptíveis pela sua imagem negativa, ou por uma estrutura hialina que envolve a figura mitótica, como é sugerido pelo exame de certas preparações (v. texto desenvolvido).

Mixed Hodge structures and vector bundles on the projective Plane I

We describe an equivalence of categories between the category of mixed Hodge structures and a category of vector bundles on the toric complex projective plane which verify some semistability condition. We then apply this correspondence to define an invariant which generalises the notion of R-split mixed Hodge structure and compute extensions in the category of mixed Hodge structures in terms of extensions of the corresponding vector bundles. We also give a relative version of this correspondence and apply it to define stratifications of the bases of the variations of mixed Hodge structure.

Distribuição geográfica da fauna e flora da Baía de Guanabara

The author studied, the horizontal and vertical distribution of most common part of the flora and fauna of the bay of Guanabara at Rio de Janeiro. In this paper the eulittoral, poly, meso and oligohaline regions were localised and studied; and the first chart of its distribution was presented (fig. 2). The salinity of superficial waters was established through determinations based on 30 trips inside the buy for collecting biological materials. Some often 409 determinations which were previous reported together with the present ones served for the eleboration of a salinity map of the bay of Guanabara (fig. 1). This map of fig. 2 shows the geographic locations of the water regions. EULITTORAL WATER REGIME — Fig. 3 shows the diagram scheme of fauna and flora of this regime. Sea water salinity 34/1.000, density mean 1.027, transparent greenish waters, sea coast with moderate bursting waves. Limpid sea shore with white sand, gneiss with the big barnacle Tetraclita squamosa var. stalactifera (Lam. Pilsbry. Vertical distributions: barna¬cles layers with a green region in which are present the oyster Ostrea pa-rasitica L., the barnacles Tetraclita, Chthamalus, Balanus tintinnabulum var. tintinnabulum (L.) e var. antillensis Pilsbry in connection with several mollusca and the sea beatle Isopoda Lygia sp. Covered by water and exposed to air by the tidal ritms, there is a stratum of brown animals that is the layer of mussels Mytilus perna L., with others brown and chestnut animals : the Crustacea Pachygrapsus, the little crab Porcellana sp., the stone crab Me-nippe nodifrons Stimpson, the sea stars Echinaster brasiliensis (Mull. & Tr.), Astropecten sp. and the sea anemones Actinia sp. Underneath and never visible there is a subtidal region with green tubular algae of genus Codium and amidst its bunches the sea urchin Lycthchinus variegatus (Agass.) walks and more deeply there are numerous sand-dollars Encope emarginata (Leske). The microplancton of this regime is Ceratiumplancton. POLYHALINE WATER REGIMB — Water almost sea water, but directly influenced by continental lands, with rock salts dissolved and in suspension. Salinity: 33 to 32/1.000. This waters endure the actions of the popular nicknamed «water of the hill» (as the waters of mesohaline and oligohaline regimes), becoming suddenly reddish during several hours. That pheno¬menon returns several times in the year and come with great mortality of fishes. In these waters, according to Dr. J. G. FARIA there are species of Protozoa : Peridinea, the Glenoidinium trochoideum St., followed by its satellites which he thinks that they are able to secret toxical substances which can slaughter some species of fishes. In these «waters of the hill» was found a species of Copepoda the Charlesia darwini. In August 1946 the west shore of the Guanabara was plenty of killed fishes occupying a area of 8 feet large by 3 nautical miles of lenght. The enclosure for catching fishes in the rivers mouthes presents in these periods mass dead fishes. The phenomenon of «waters of the hill» appears with the first rains after a period of long dryness. MESOHALINE WATER REGIME — Fig. 4 shows the the diagramm scheme. Salt or brackish water from 30 to 17/1.000 salinity, sometimes until 10/1.000. Turbid waters with mud in suspension, chestnut, claveyous waters; shore dirty black mud without waving bursting; the waters are warmer and shorner than those of the polihaline regime. Mangrove shore with the mangrove trees : Rhizophora mangle L., Avicennia sp., Laguncularia sp., and the »cotton tree of sea» Hibiscus sp. Fauna: the great land crab «guaimú» Cardisoma guanhumi Latr., ashore in dry firm land. There is the real land crab Ucides cordatus (L.) in wetting mud and in neigh¬ bourhood of the burrows of the fiddler-crabs of genus Uca. On stones and in the roots of the Rhizophora inhabits the brightly colored mangrove-tree-crab («aratu» Portuguese nickname) Goniopsis cruentata (Latreille) and the sparingly the big oyster Ostrea rhizophorae Guild. Lower is the region of barnacles Balanus amphitrite var. communis Darwin and var. niveus Darwin; Balanus tintinnabulum var. tintinnabulum (L.) doesn't grow in this brackish water; lower is the region of Pelecipoda with prepollency of Venus and Cytherea shell-fishes and the Panopeus mud crab; there are the sea lettuce Ulva and the Gastreropod Cerithium. The Paguridae Clibanarius which lives in the empty shells of Gasteropod molluscs, and the sessile ascidians Tethium plicatum (Lesuer) appears in some seasons. In the bottom there is a black argillous mud where the «one landed shrimps» Alpheus sp. is hidden. OLIGOHALINE WATER REGIME — The salinity is lower than 10/1.000. average 8/1.000. There are no barnacles and no sea-beetles Isopods of genus Lygia; on the hay of the shore there are several graminea. This brackish water pervades by mouthes of rivers and penetrates until about 3 kilometers river above. While there is some salt dissolved in water, there are some mud crabs of the genus Uca, Sesarma, Metasesarma and Chasmagnatus. The presence of floating green plants coming from the rivers in the waters of a region indicated the oligohaline waters, with low salt content because when the average of NaCl increases above 8/1.000 these plants die and become rusty colored.

Contractions in the 2-wasserstein lenght space and thermalization of granular media

An algebraic decay rate is derived which bounds the time required for velocities to equilibrate in a spatially homogeneous flow-through model representing the continuum limit of a gas of particles interacting through slightly inelastic collisions. This rate is obtained by reformulating the dynamical problem as the gradient flow of a convex energy on an infinite-dimensional manifold. An abstract theory is developed for gradient flows in length spaces, which shows how degenerate convexity (or even non-convexity) | if uniformly controlled | will quantify contractivity (limit expansivity) of the flow.