Occurrence of Hirudinea species in a post urban reach of a Patagonian mountain stream

Temporal (May 2005 to February 2006) and habitat distribution (pools and riffles) of Hirudinea species was analyzed at a post urban reach from Esquel stream (Chubut province, Patagonia, Argentina). Site was located 5.7 km downstream a Waste Treatment Plant. Mean values of nutrients: ammonia, nitrates and soluble reactive phosphate, as well water conductivity, turbidity and total suspended solids indicated physical and organic pollution. Leeches assemblage was composed by the glossiphonids: Helobdella scutifera Blanchard, 1900, H. michaelseni (Blanchard, 1900), H. simplex (Moore, 1911), Helobdella sp., H. hyalina Ringuelet, 1942, H. obscura Ringuelet, 1942 and the semiscolecid Patagoniobdella variabilis (Blanchard, 1900). From these H. hyalina and H. obscura are new records for Chubut province. Helobdella hyalina (810 ind.m-2) and H. simplex (465 ind. m-2) clearly dominated the assemblage at the reach. Only H. simplex displayed a spatial preference being significantly more abundant in pools than in riffle habitats (p<0.001). Species recruitment occurred mostly at September, December and March when juveniles were very abundant. Although several species of Helobdella were able to live in the disturbed section of the stream, only H. simplex and H. hyalina sustained large populations at the site and can be considered as tolerant to organic enrichment. This information is valuable to future studies on stream condition assessment in mountainous areas in Patagonia, and in other areas in which these species are present.

Estudos sobre thrombose cardiaca e endocardite parietal de origem não valvular

1.-Since the parietal endocarditis represents a chapter generally neglected, owing to the relative lack of cases, and somewhat confused because there various terms have been applied to a very same morbid condition, it justifies the work which previously we tried to accomplish, of nosographic classification. Taking into account the functional disturbances and the anatomical changes, all cases of parietal endocarditis referred to in the litterature were distributed by the following groups: A-Group-Valvulo-parietal endocarditis. 1st . type-Valvulo-parietal endocarditis per continuum. 2nd. type-Metastatic valvulo-parietal endocarditis. 3rd. type-Valvulo-parietal endocarditis of the mitral stenosis. B-Group-Genuine parietal endocarditis. a) with primary lesions in the myocardium. b) with primary lesions in the endocardium. 4th type-Fibrous chronic parietal endocarditis (B A Ü M L E R), « endocarditis parietalis simplex». 5th type-Septic acute parietal endocarditis (LESCHKE), «endocarditis parietalis septica». 6th type-Subacute parietal endocarditis (MAGARINOS TORRES), «endocarditis muralis lenta». 2.-Studying a group of 14 cases of fibrous endomyocarditis with formation of thrombi, and carrying together pathological and bacteriological examinations it has been found that some of such cases represent an infectious parietal endocarditis, sometimes post-puerperal, of subacute or slow course, the endocardic vegetations being contamined by pathogenic microörganisms of which the most frequent is the Diplococcus pneumoniae, in most cases of attenuated virulence. Along with the infectious parietal endocarditis, there occur arterial and venous thromboses (abdominal aorta, common illiac and femural arteries and external jugular veins). The case 5,120 is a typical one of this condition which we name subacute parietal endocarditis (endocarditis parietalis s. muralis lenta). 3.-The endocarditis muralis lenta encloses an affection reputed to be of rare occurrence, the «myocardite subaigüe primitive», of which JOSSERAND and GALLAVARDIN published in 1901 the first cases, and ROQUE and LEVY, another, in 1914. The «myocardite subaigüe primitive» was, wrongly, in our opinion, included by WALZER in the syndrome of myocardia of LAUBRY and WALZER, considering that, in the refered cases of JOSSERAND and GALLAVARDIN and in that of ROQUE and LEVY, there are described rather considerable inflammatory changes in the myocardium and endocardium. The designation «myocardia» was however especially created by LAUBRY and WALZER for the cases of heart failure in which the most careful aetiologic inquiries and the most minucious clinical examination were unable to explain, and in which, yet, the post-mortem examination did not reveal any anatomical change at all, it being forcible to admit, then, a primary functional change of the cardiac muscle fibre. This special cardiac condition is thoroughly exemplified in the observation that WALZER reproduces on pages 1 to 7 of his book. 4.-The clinical picture of the subacute parietal endocarditis is that of heart failure with oedemas, effusion in the serous cavities and passive chronic congestion of the lungs, liver, kideys and spleen associated, to that of an infectious disease of subacute course. The fever is rather transient oscillating around 99.5 F., being intersected with apyretic periods of irregular duration; it is not dependent on any evident extracardiac septic infection. In other cases the fever is slight, particularly in the final stage of the disease, when the heart failure is well established. The rule is to observe then, hypothermy. The cardiac-vascular signs consist of enlargement of the cardiac dullness, smoothing of the cardiac sounds, absence of organic murmurs and accentuated and persistent tachycardia up to a certain point independent of fever. The galloprhythm is present, in most cases. The signs of the pulmonary infarct are rather expressed by the aspect of the sputum, which is foamy and blood-streaked than by the classic signs. Cerebral embolism was a terminal accident on various cases. Yet, in some of them, along with the signs of septicemia and of cardiac insufficiency, occurred vascular, arterial (abdominal aorta, common illiac and femurals arteries) and venous (extern jugular veins) thromboses. 5. The autopsy revealed an inflammatory process located on the parietal endocardium, accompanied by abundant formation of ancient and recent thrombi, being the apex of the left ventricle, the junction of the anterior wall of the same ventricle, with the interventricular septum, and the right auricular appendage, the usual seats of the inflammatory changes. The region of the left branch of HIS’ bundle is spared. The other changes found consist of fibrosis of the myocardium (healed infarcts and circumscribed interstitial myocarditis), of recent visceral infarcts chiefly in lungs, spleen and brain, of recent or old infarcts in the kidneys (embolic nephrocirrhosis) and in the spleen, and of vascular thromboses (abdominal aorta, common illiacs and femurals arteries and external jugular veins), aside from hydrothorax, hydroperitoneum, cutaneous oedema, chronic passive congestion of the liver, lungs, spleen and kidneys and slight ictericia. 6. In the subacute parietal endocarditis the primary lesions sometimes locate themselves at the myocardium, depending on the ischemic necrosis associated to the arteriosclerosis of the coronariae arteries, or on an specific myocarditis. Other times, the absence of these conditions is suggestive of a primary attack to the parietal endocardium which is then the primary seat of the lesions. It matters little whatever may be the initial pathogenic mechanism; once injured the parietal endocardium and there being settled the infectious injury, the endocarditis develops with peculiar clinical and anatomical characters of remarkable uniformity, constituting an anatomo-clinical syndrome. 7.-The histologic sections show that recent lesions…

Alterações nucleares das cellulas do figado nas infecções de Macacus Rhesus e M. Cynomolgus pelo virus da febre amarella

No figado de um Macacus rhesus inoculado por BEAUREPAIRE ARAGÃO com sangue deum caso benigno de febre amarella e no qual elle descreveu symptomas e lesões typicas semelhantes ás obidas por STOKES, BAUER e HUDSON pela inoculação com o virus africano no mesmo animal, encontrámos alterações nucleares da mesma natureza das assignaladas, no herpes zoster, herpes symptomatico, varicella e virus III do coelho e descriptas ora sob o nome de "inclusões acidophilas intranucleares" (LIPSCHÜTZ, GOODPASTURE), ora sob o de "degeneração oxychromatica" (LAUDA e LUGER). Alterações nucleares semelhantes da cellula hepatica encontrámos, posteriormente em 13 M. rhesus e 2 M. cynomolgus inoculados com e virus brasileiro da febre amarella o qual fôra isolado independentemente por BEAUREPAIRE ARAGÂO e depois por A. MARQUES DA CUNHA e J. MUNIZ de dois casos benignos de febre amarella, tendo sido um dos macacos injectado directamente com o sangue do doente; dois macacos foram inoculados com Aedes aegypti infectados em homem e em macaco; os animais foram anímaes empregados em passagens em serie do virus pelo macaco, e talvez esse facto explique até certo ponto, as notaveis differenças por vezes encontradas nas alterações histopathologicas do figado, visto como, em condições naturaes, o virus nunca passa directamente de homem para homem. A intensidade com que se apresenta a degeneração oxychromatica de modo algum está na dependencia das alterações do conteúdo gorduroso, necrose e necrobiose encontradas; em um caso, ella era a unica alteração presente no figado, sendo então particularmente intensa. As inclusões acidophilas intranucleares (degeneração oxychromatica) não foram encontradas em diversos M. rhesus não inoculados e mortos por causas obscuras; no entanto, em taes figados eram presentes infiltração e degeneração gordurosas associadas a alterações de necrose e necrobiose. Alguns estadios (figuras intranucleares "em borboleta" e "em ameba", v. fig. g e h, Est. colorida) sendo abundantes, facilitam, em virtude de sua configuração especial, o reconhecimento da degeneração oxychromatica em córtes feitos segundo uma technica rapida (pequenos fragmentos de figado fixados em formol aquecido a 60°C.-trinta minutos, córtes em congelação, hematoxylina, eosina, alcool absoluto, phenol-xylol-creosoto, xylol, balsamo), não tendo, afóra isso, importancia especial. Ao passo que a degeneração e infiltração gordurosa, bem como a necrose e a necrobiose da cellula hepatica apresentam variações consideraveis em sua intensidade de um para outro animal em uma passagem em serie não interrompida do virus pelo M. rhesus, chegando mesmo a faltar interamente em dois animaes cujo figado, no entanto, mostrou-se capaz de reproduzir symptomas e lesões typicas na passagem seguinte, as inclusões acidophilas intranucleares (degeneração oxychromatica), de regra, se encontram com muito maior regularidade...

Degeneração oxychromatica ("inclusões intranucleares") na febre amarella

1- No interior do nucleo de cellulas hepaticas de Macacus rhesus e M. cynomolgus (figs. 13-34) inoculado com o virus da febre amarella e de cellulas hepaticas de doentes de febre amarella (figs. 61-65 e 68-69) ocorre o processo regressivo referido na literatura sob o nome de «degeneração oxychromatica». Tal processo apresenta grande intensidade nos macacos, sendo, porém, assaz escasso no material humano colhido em autopsias. Esta alteração está intimamente associada ao effeito nocivo causado pelo proprio virus da febre amarella, sendo, neste sentido, a unica alteração verdadeiramente especifica na febre amarella. Não foram encontradas alterações do cytoplasma nem granulos intracellulares que tivessem relação com o virus da febre amarella. Assim sendo, a febre amarella pertencerá ao grupo de doenças de virus filtraveis produzindo alterações cellulares caracteristicas ou corpusculos especificos, exclusivamente limitados ao nucleo. Deve ser incluida, portanto no grupo karyo-oikon da classificação de Lipschütz, juntamente com herpes, varicella, virus III do coelho, «submaxillary disease», etc. Como acontece em geral, nas doenças de virus filtraveis, formando inclusões intracellulares, observa-se na febre amarella que a inclusão celular especifica predomina ou existe exclusivamente em determinada especie cellular. Até agora, no nosso material só conseguimos evidenciar a degeneração oxychromatica da febre amarella na cellula hepatica. Quando existe, porém, a sua abundancia é notavel, não raro attingido a quasi totalidade das cellulas hepaticas nos cortes histologicos examinados. Esse facto não poude ser observado nos casos humanos que examinamos,provavelmente em virtude de condições proprias do virus no homem e da phase da molestia na qual foi retirado o material para estudo. Nas cellulas da camada cortical das suprarenaes de M. rhesus infectados encontramos aspectos nucleares suggestivos de degeneração oxychromatica (figs. 37 e 40); são escassos e de caracterisação duvidosa em virtude da concomitancia de alterações necrobíoticas não específicas. 2- Durante a epidemia de febre amarella em 1928 no Rio de Janeiro, notamos differenças assaz pronunciadas entre as lesões hepaticas no homem e no M. rhesus. Taes differenças, existindo em material assaz homogeneo quanto ás amostras de virus em questão, nos levam a concluir que a capacidade de formar corpusculos intranucleares especificos, como tambem a já conhecida permanencia do virus no sangue e nos tecidos, depende, de modo evidente, da especie animal usada e não da propria amostra empregada, nem do numero de passagens que ella soffreu no macaco. Embora os doentes pertencessem a raças differentes (quadro VIII) e embora, possivelmente diversas amostras de virus tenham sido nelles inoculadas, estamos autorisados a concluir que a amostra ou amostras que infectaram o homem na epidemia de 1928, no Rio de janeiro, possuem nelle uma fraca capacidade de determinar inclusões intranucleares. Ao contrario, a mesma amostra ou amostras são capazes de produzir no M. rhesus, logo na primeira passagem, inclusões intranucleares assaz abundantes. Outra diferença que notamos e attribuimos a especie animal empregada foi; as alterações hepaticas de natureza toxica e circulatoria (congestão, necrose e necrobiose da cellula hepatica) são nitidamente mais intensas no homem que nos macacos injectados com as amostras brasileiras do virus da febre amarella isoladas durante a epidemia de 1928 no Rio de Janeiro. Conseguimos, no homem, evidencia de inclusões typicas na cellula hepatica, apenas em tres casos dentre dezesete examinados. Esse resultado, provavelmente, ainda não é definitivo, indicando, apenas a raridade extrema que os corpusculos podem apresentar nos casos de febre amarella que ordinariamente chegam á autopsia. Tambem não realisamos uma pesquiza exhaustiva dos corpusculos em outros orgãos além do figado. O caso no qual encontramos em maior abundancia os corpusculos intranucleares, offerecia duas circumstancias que isoladamente, e, com maior razão, associadas, não são habituaes em material de autopsia de febre amarella, a saber: trata-se de uma creança fallecida cerca de 40 horas após o inicio da molestia e a autopsia foi iniciada 30 minutos após o obito. Notamos que, quando em uma preparação é encontrada uma cellula hepatica com inclusão, o exame não tarda em demonstrar, em campos microscopicos visinhos, uma ou outra cellula tambem com inclusão, ao passo que em pontos mais distantes nenhuma cellula é encontrada apresentando inclusões. Esses «fócos» de cellulas com inclusões nem sempre são faceis de encontrar, o que está de accôrdo com as differenças topographicas de outras lesões hepaticas, referidas por Oskar Klotz (1928) e Hudson (1928). 3- A degeneração oxychromatica é um processo regressivo nuclear, no qual tomam parte predominante elementos presentes no nucleo normal de cellulas tratadas pelos fixadores habituaes. São elles: a oxychromatina, o reticulo de linina e as particulas de basichromatina neste ultimo incrustadas; de mistura e associadas á oxychromatina existem provavelmente outras albuminas nucleares acidophilas oriundas do nucleoplasma em condições pathologicas do nucleo. Apenas esses elementos se apresentam alterados, quer quantitativamente, quer em seu aspecto e disposição reciproca, quer em suas affinidades tinctoriaes. O facto importante a reter é que taes modificações regressivas interessam, no inicio, unicamente determinadas partes componentes do nucleo com exclusão de outras e reproduzem nas cellulas hepaticas de animaes infectados, de maneira constante e regular, aspectos nucleares absolutamente typicos e especificos da infecção pelo virus amarillico. 4- O corpusculo intranuclear da febre amarella, em phases typicas (figs. 69 e 71) mostra-se constituido por uma «substancia fundamental» e por um «stroma». A substancia fundamental é uma albumina nuclear basica, em parte formada pela oxychromatina ou lanthanina, em parte por outras nucleoproteinas...

Valproic acid related idiosyncratic drug induced hepatotoxicity in a glioblastoma patient treated with temozolomide.

Glioblastoma patients undergoing treatment with surgery followed by radiation and temozolomide chemotherapy often develop a state of immunosuppression and are at risk for opportunistic infections and reactivation of hepatitis and herpes viruses. We report the case of a 48-year-old glioblastoma patient who developed acute cholestatic hepatitis with hepatic failure during adjuvant treatment with temozolomide and the integrin inhibitor cilengitide. A viral hepatitis was excluded and valproic acid treatment was stopped. Upon normalisation of the liver tests, temozolomide treatment was resumed without perturbation of the liver tests. Valproic acid related idiosyncratic drug induced hepatotoxicity should be considered as a differential diagnosis in glioblastoma patients undergoing adjuvant therapy.

Immune system's role in viral encephalitis.

Viral infections can be a major thread for the central nervous system (CNS), therefore, the immune system must be able to mount a highly proportionate immune response, not too weak, which would allow the virus to proliferate, but not too strong either, to avoid collateral damages. Here, we aim at reviewing the immunological mechanisms involved in the host defense in viral CNS infections. First, we review the specificities of the innate as well as the adaptive immune responses in the CNS, using several examples of various viral encephalitis. Then, we focus on three different modes of interactions between viruses and immune responses, namely human Herpes virus-1 encephalitis with the defect in innate immune response which favors this disease; JC virus-caused progressive multifocal leukoencephalopathy and the crucial role of adaptive immune response in this example; and finally, HIV infection with the accompanying low grade chronic inflammation in the CNS in some patients, which may be an explanation for the presence of cognitive disorders, even in some well-treated HIV-infected patients. We also emphasize that, although the immune response is generally associated with viral replication control and limited cellular death, an exaggerated inflammatory reaction can lead to tissue damage and can be detrimental for the host, a feature of the immune reconstitution inflammatory syndrome (IRIS). We will briefly address the indication of steroids in this situation.

HIV and STI surveillance in Northern Ireland 2010: An analysis of data for the calendar year 2009

This annual analysis of data provides an overview of HIV and STI epidemiology in Northern Ireland for the calendar year 2009. Information from a variety of sources is collated and analysed in detail, while any evident trends over time are highlightedwithgraphs and tables. As well as a general summary of STI diagnoses and a number of overall conclusions, the report looks specifically at each of the following STIs: chlamydia, gonorrhoea, genital herpes, genital warts, syphilis, lymphogranuloma venereum (LGV) and HIV.

HIV and STI surveillance in Northern Ireland 2011: An analysis of data for the calendar year 2010

This annual analysis of data provides an overview of HIV and STI epidemiology in Northern Ireland for the calendar year 2010. Information from a variety of sources is collated and analysed in detail, while any evident trends over time are highlighted�with�graphs and tables. As well as a general summary of STI diagnoses and a number of overall conclusions, the report looks specifically at each of the following STIs: chlamydia, gonorrhoea, genital herpes, genital warts, syphilis, lymphogranuloma venereum (LGV) and HIV.

HIV and STI surveillance in Northern Ireland 2010: An analysis of data for the calendar year 2009

This annual analysis of data provides an overview of HIV and STI epidemiology in Northern Ireland for the calendar year 2009. Information from a variety of sources is collated and analysed in detail, while any evident trends over time are highlighted�with�graphs and tables. As well as a general summary of STI diagnoses and a number of overall conclusions, the report looks specifically at each of the following STIs: chlamydia, gonorrhoea, genital herpes, genital warts, syphilis, lymphogranuloma venereum (LGV) and HIV.

Application of compositional data analysis to geochemical data of marine sediments

In an earlier investigation (Burger et al., 2000) five sediment cores near the RodriguesTriple Junction in the Indian Ocean were studied applying classical statistical methods(fuzzy c-means clustering, linear mixing model, principal component analysis) for theextraction of endmembers and evaluating the spatial and temporal variation ofgeochemical signals. Three main factors of sedimentation were expected by the marinegeologists: a volcano-genetic, a hydro-hydrothermal and an ultra-basic factor. Thedisplay of fuzzy membership values and/or factor scores versus depth providedconsistent results for two factors only; the ultra-basic component could not beidentified. The reason for this may be that only traditional statistical methods wereapplied, i.e. the untransformed components were used and the cosine-theta coefficient assimilarity measure.During the last decade considerable progress in compositional data analysis was madeand many case studies were published using new tools for exploratory analysis of thesedata. Therefore it makes sense to check if the application of suitable data transformations,reduction of the D-part simplex to two or three factors and visualinterpretation of the factor scores would lead to a revision of earlier results and toanswers to open questions . In this paper we follow the lines of a paper of R. Tolosana-Delgado et al. (2005) starting with a problem-oriented interpretation of the biplotscattergram, extracting compositional factors, ilr-transformation of the components andvisualization of the factor scores in a spatial context: The compositional factors will beplotted versus depth (time) of the core samples in order to facilitate the identification ofthe expected sources of the sedimentary process.Kew words: compositional data analysis, biplot, deep sea sediments

Compositional amalgamations and balances: a critical approach

The amalgamation operation is frequently used to reduce the number of parts of compositional data but it is a non-linear operation in the simplex with the usual geometry,the Aitchison geometry. The concept of balances between groups, a particular coordinate system designed over binary partitions of the parts, could be an alternative to theamalgamation in some cases. In this work we discuss the proper application of bothconcepts using a real data set corresponding to behavioral measures of pregnant sows

Mixing compositions and other scales

Theory of compositional data analysis is often focused on the composition only. However in practical applications we often treat a composition together with covariableswith some other scale. This contribution systematically gathers and develop statistical tools for this situation. For instance, for the graphical display of the dependenceof a composition with a categorical variable, a colored set of ternary diagrams mightbe a good idea for a first look at the data, but it will fast hide important aspects ifthe composition has many parts, or it takes extreme values. On the other hand colored scatterplots of ilr components could not be very instructive for the analyst, if theconventional, black-box ilr is used.Thinking on terms of the Euclidean structure of the simplex, we suggest to set upappropriate projections, which on one side show the compositional geometry and on theother side are still comprehensible by a non-expert analyst, readable for all locations andscales of the data. This is e.g. done by defining special balance displays with carefully-selected axes. Following this idea, we need to systematically ask how to display, explore,describe, and test the relation to complementary or explanatory data of categorical, real,ratio or again compositional scales.This contribution shows that it is sufficient to use some basic concepts and very fewadvanced tools from multivariate statistics (principal covariances, multivariate linearmodels, trellis or parallel plots, etc.) to build appropriate procedures for all these combinations of scales. This has some fundamental implications in their software implementation, and how might they be taught to analysts not already experts in multivariateanalysis

Using self organizing maps on compositional data

Self-organizing maps (Kohonen 1997) is a type of artificial neural network developedto explore patterns in high-dimensional multivariate data. The conventional versionof the algorithm involves the use of Euclidean metric in the process of adaptation ofthe model vectors, thus rendering in theory a whole methodology incompatible withnon-Euclidean geometries.In this contribution we explore the two main aspects of the problem:1. Whether the conventional approach using Euclidean metric can shed valid resultswith compositional data.2. If a modification of the conventional approach replacing vectorial sum and scalarmultiplication by the canonical operators in the simplex (i.e. perturbation andpowering) can converge to an adequate solution.Preliminary tests showed that both methodologies can be used on compositional data.However, the modified version of the algorithm performs poorer than the conventionalversion, in particular, when the data is pathological. Moreover, the conventional ap-proach converges faster to a solution, when data is \well-behaved".Key words: Self Organizing Map; Artificial Neural networks; Compositional data

Statistical treatment of grain-size curves and empirical distributions: densities as compositions?

The preceding two editions of CoDaWork included talks on the possible considerationof densities as infinite compositions: Egozcue and D´ıaz-Barrero (2003) extended theEuclidean structure of the simplex to a Hilbert space structure of the set of densitieswithin a bounded interval, and van den Boogaart (2005) generalized this to the setof densities bounded by an arbitrary reference density. From the many variations ofthe Hilbert structures available, we work with three cases. For bounded variables, abasis derived from Legendre polynomials is used. For variables with a lower bound, westandardize them with respect to an exponential distribution and express their densitiesas coordinates in a basis derived from Laguerre polynomials. Finally, for unboundedvariables, a normal distribution is used as reference, and coordinates are obtained withrespect to a Hermite-polynomials-based basis.To get the coordinates, several approaches can be considered. A numerical accuracyproblem occurs if one estimates the coordinates directly by using discretized scalarproducts. Thus we propose to use a weighted linear regression approach, where all k-order polynomials are used as predictand variables and weights are proportional to thereference density. Finally, for the case of 2-order Hermite polinomials (normal reference)and 1-order Laguerre polinomials (exponential), one can also derive the coordinatesfrom their relationships to the classical mean and variance.Apart of these theoretical issues, this contribution focuses on the application of thistheory to two main problems in sedimentary geology: the comparison of several grainsize distributions, and the comparison among different rocks of the empirical distribution of a property measured on a batch of individual grains from the same rock orsediment, like their composition

Hilbert space on probability density functions with Aitchison geometry

Compositional data analysis motivated the introduction of a complete Euclidean structure in the simplex of D parts. This was based on the early work of J. Aitchison (1986) and completed recently when Aitchinson distance in the simplex was associated with an inner product and orthonormal bases were identified (Aitchison and others, 2002; Egozcue and others, 2003). A partition of the support of a random variable generates a composition by assigning the probability of each interval to a part of the composition. One can imagine that the partition can be refined and the probability density would represent a kind of continuous composition of probabilities in a simplex of infinitely many parts. This intuitive idea would lead to a Hilbert-space of probability densitiesby generalizing the Aitchison geometry for compositions in the simplex into the set probability densities