Aitchison Geometry for Probability and Likelihood as a new approach to mathematical statistics

The Aitchison vector space structure for the simplex is generalized to a Hilbert space structure A2(P) for distributions and likelihoods on arbitrary spaces. Centralnotations of statistics, such as Information or Likelihood, can be identified in the algebraical structure of A2(P) and their corresponding notions in compositional data analysis, such as Aitchison distance or centered log ratio transform.In this way very elaborated aspects of mathematical statistics can be understoodeasily in the light of a simple vector space structure and of compositional data analysis. E.g. combination of statistical information such as Bayesian updating,combination of likelihood and robust M-estimation functions are simple additions/perturbations in A2(Pprior). Weighting observations corresponds to a weightedaddition of the corresponding evidence.Likelihood based statistics for general exponential families turns out to have aparticularly easy interpretation in terms of A2(P). Regular exponential families formfinite dimensional linear subspaces of A2(P) and they correspond to finite dimensionalsubspaces formed by their posterior in the dual information space A2(Pprior).The Aitchison norm can identified with mean Fisher information. The closing constant itself is identified with a generalization of the cummulant function and shown to be Kullback Leiblers directed information. Fisher information is the local geometry of the manifold induced by the A2(P) derivative of the Kullback Leibler information and the space A2(P) can therefore be seen as the tangential geometry of statistical inference at the distribution P.The discussion of A2(P) valued random variables, such as estimation functionsor likelihoods, give a further interpretation of Fisher information as the expected squared norm of evidence and a scale free understanding of unbiased reasoning

The sand rat, Psammomys obesus, develops type 2 diabetic retinopathy similar to humans.

PURPOSE: Diabetic retinopathy (DR) is a leading cause of blindness, yet pertinent animal models are uncommon. The sand rat (Psammomys obesus), exhibiting diet-induced metabolic syndrome, might constitute a relevant model. METHODS: Adult P. obesus (n = 39) were maintained in captivity for 4 to 7 months and fed either vegetation-based diets (n = 13) or standard rat chow (n = 26). Although plant-fed animals exhibited uniform body weight and blood glucose levels over time, nearly 60% of rat chow-raised animals developed diabetes-like symptoms (test group). Animals were killed, and their eyes and vitreous were processed for immunochemistry. RESULTS: Compared with plant-fed animals, diabetic animals showed many abnormal vascular features, including vasodilation, tortuosity, and pericyte loss within the blood vessels, hyperproteinemia and elevated ratios of proangiogenic and antiangiogenic growth factors in the vitreous, and blood-retinal barrier breakdown. Furthermore, there were statistically significant decreases in retinal cell layer thicknesses and densities, accompanied by profound alterations in glia (downregulation of glutamine synthetase, glutamate-aspartate transporter, upregulation of glial fibrillar acidic protein) and many neurons (reduced expression of protein kinase Cα and Cξ in bipolar cells, axonal degeneration in ganglion cells). Cone photoreceptors were particularly affected, with reduced expression of short- and mid-/long-wavelength opsins. Hypercaloric diet nondiabetic animals showed intermediate values. CONCLUSIONS: Simple dietary modulation of P. obesus induces a rapid and severe phenotype closely resembling human type 2 DR. This species presents a valuable novel experimental model for probing the neural (especially cone photoreceptor) pathogenic modifications that are difficult to study in humans and for screening therapeutic strategies.

The aldosterone-mineralocorticoid receptor pathway exerts anti-inflammatory effects in endotoxin-induced uveitis.

We have previously shown that the eye is a mineralocorticoid-sensitive organ and we now question the role of mineralocorticoid receptor (MR) in ocular inflammation. The endotoxin-induced uveitis (EIU), a rat model of human intraocular inflammation, was induced by systemic administration of lipopolysaccharide (LPS). Evaluations were made 6 and 24 hours after intraocular injection of aldosterone (simultaneous to LPS injection). Three hours after onset of EIU, the MR and the glucocorticoid metabolizing enzyme 11-beta hydroxysteroid dehydrogenase type 2 (11β-HSD2) expression were down-regulated in iris/ciliary body and the corticosterone concentration was increased in aqueous humor, altering the normal MR/glucocorticoid receptor (GR) balance. At 24 hours, the GR expression was also decreased. In EIU, aldosterone reduced the intensity of clinical inflammation in a dose-dependent manner. The clinical benefit of aldosterone was abrogated in the presence of the MR antagonist (RU26752) and only partially with the GR antagonist (RU38486). Aldosterone reduced the release of inflammatory mediators (6 and 24 hours: TNF-α, IFN-γ, MIP-1α) in aqueous humor and the number of activated microglia/macrophages. Aldosterone partly prevented the uveitis-induced MR down-regulation. These results suggest that MR expression and activation in iris/ciliary body could protect the ocular structures against damages induced by EIU.

Assessment of a new MRI classification of spinal stenosis based on cross-sectional morphology of the dural sac : FM2

Introduction: Quantitative measures of degree of lumbar spinal stenosis (LSS) such as antero-posterior diameter of the canal or dural sac cross sectional area vary widely and do not correlate with clinical symptoms or results of surgical decompression. In an effort to improve quantification of stenosis we have developed a grading system based on the morphology of the dural sac and its contents as seen on T2 axial images. The grading comprises seven categories ranging form normal to the most severe stenosis and takes into account the ratio of rootlet/CSF content. Material and methods: Fifty T2 axial MRI images taken at disc level from twenty seven symptomatic lumbar spinal stenosis patients who underwent decompressive surgery were classified into seven categories by five observers and reclassified 2 weeks later by the same investigators. Intra- and inter-observer reliability of the classification were assessed using Cohen's and Fleiss' kappa statistics, respectively. Results: Generally, the morphology grading system itself was well adopted by the observers. Its success in application is strongly influenced by the identification of the dural sac. The average intraobserver Cohen's kappa was 0.53 ± 0.2. The inter-observer Fleiss' kappa was 0.38 ± 0.02 in the first rating and 0.3 ± 0.03 in the second rating repeated after two weeks. Discussion: In this attempt, the teaching of the observers was limited to an introduction to the general idea of the morphology grading system and one example MRI image per category. The identification of the dimension of the dural sac may be a difficult issue in absence of complete T1 T2 MRI image series as it was the case here. The similarity of the CSF to possibly present fat on T2 images was the main reason of mismatch in the assignment of the cases to a category. The Fleiss correlation factors of the five observers are fair and the proposed morphology grading system is promising.

Haggadah de Pâque (hébreu) (judéo-italien). Padoue

Haggadah de pâque, texte avec version italienne et commentaire abrégé de l'explication d'Isaac Abravanel. Une préface à ce même commentaire, par Juda Arié de Modène, se trouve tête de volume, accompagnant les prescriptions rituelles de la fête de pâque. Ecrit par Elie ben Ascher Malakhi Cohen en l'an 5544 de la Création, à Padoue. Titre rouge et noir entouré d'un triple cadre, les deux lignes externes en lignes ornées, et le cadre médiant constitué de verset de l'Exode (II, 17-19). Dessins à la plume sur chaque page, et initiales enluminées. Grande ériture arrée vocalisée pour le texte, rubrique des vignettes en petit module. Commentaire en écriture rabbinique italienne. A la fin du manuscrit la version allemande du poème un cabri.

Genome-wide association study of major recurrent depression in the U.K. population.

OBJECTIVE: Studies of major depression in twins and families have shown moderate to high heritability, but extensive molecular studies have failed to identify susceptibility genes convincingly. To detect genetic variants contributing to major depression, the authors performed a genome-wide association study using 1,636 cases of depression ascertained in the U.K. and 1,594 comparison subjects screened negative for psychiatric disorders. METHOD: Cases were collected from 1) a case-control study of recurrent depression (the Depression Case Control [DeCC] study; N=1346), 2) an affected sibling pair linkage study of recurrent depression (probands from the Depression Network [DeNT] study; N=332), and 3) a pharmacogenetic study (the Genome-Based Therapeutic Drugs for Depression [GENDEP] study; N=88). Depression cases and comparison subjects were genotyped at Centre National de Génotypage on the Illumina Human610-Quad BeadChip. After applying stringent quality control criteria for missing genotypes, departure from Hardy-Weinberg equilibrium, and low minor allele frequency, the authors tested for association to depression using logistic regression, correcting for population ancestry. RESULTS: Single nucleotide polymorphisms (SNPs) in BICC1 achieved suggestive evidence for association, which strengthened after imputation of ungenotyped markers, and in analysis of female depression cases. A meta-analysis of U.K. data with previously published results from studies in Munich and Lausanne showed some evidence for association near neuroligin 1 (NLGN1) on chromosome 3, but did not support findings at BICC1. CONCLUSIONS: This study identifies several signals for association worthy of further investigation but, as in previous genome-wide studies, suggests that individual gene contributions to depression are likely to have only minor effects, and very large pooled analyses will be required to identify them.

Avaliação do projeto Final - Recursos Hídrico do Tarrafal – Cabo Verde

A avaliacão do projecto do recursos hidricos do Tarrafal (Cabo Verde ) tem por base dois objectivos: 1) Cumprir as obrigag8es do contrato, o qual roquor uwa avaliação.o final, a 2) Sujeitar-se aon requisitos da CID pars a avaliação final. Desta formal a extenslo deta avaliaqlo 6 male quo ura simples rovialo, reopondendo a obrigaqos do contracto. Esta avaliagKot tern por fim estimar a forma coo o projecto atinglu ou doixou do atingir os objectivos propostos. An recomendaga4s quo safram desta avalia qio dovem sorvir para melhorar os projectos om andamento quo integram no sistema da CID. Ambos o fundos da CID o do contracto foram utilizados nesta avaliaqlo Os pontos apresentados nests documento slo da equipe do avaliaqlo o n~o representan necessariamente 0s da Administraqlo o/ou do Executivo da CID. B. A.VLICrUi)Z DA Ai1ALIAj!O Todo o projecto do Recurnos Hfdricos do Tarrafal eat inserido dontro do pris1m desta avalia.lo. Zbora outrou relatdrios tenham servido do fontes do infor=qlo, a proeantj oxamina o projecto dead. o porfodo da preparaqEo at o trmino C. EQU!!' DE AYALIACKO A equioe roi Joloeada polo Dean ( tipo do reitor do faculdads )# Director da Cemara don Adminintradoras da CID Dr. drnont Briskoyp o polo Director do Executivo, Dr. John L. Fiecher. A avaliaqgo foi orientada pole repartiglo do Executivo da CID. 0 Dr. Barry Re. Baintonp agents director do projectop coordenou o processo do avaliaqEo. 0 Dr. Gerald 3stlockq director do programus Internacionais do agricultura na Universidade do Arizonap foi selocionado coo lider da equips . 0 Dr. Howard Peterson, professor do agriculture • ongenharia do irrgaqIo da Universidade do Utah, foi selecionado coma segundo mumbro da equips. 0 Dr. Peterson ji tinha cumprido dues misses no projecto em Cabo Verde. 0 Dr. Jean Ruley Kearns, conselheiro director da CID no poriodo do 1982-83p fot selecionado comc sondo o tarceiro membro da equipe. D. ATODO DE AVALIAQXO Os pianos proliminares para conduzir a avaliaqo foram feitos numa rounibo inicial em Tucson ( Arizona ) a 5 do novembro do 1982. Nessa rounilo foi deci dido quo o Dr. Matlock visitaria o projecto durante o afs do novembro do 1982. A visita fot planojada do forma a coincidir com a presenga do Kern Stutlor, director coordenador do projectop quo devoria astar am Cabo lirde nessa data co.mpletando os trabalho a preparando o relat6rio final. Uma c6pia do Procasio do Avaliaglo pola AID assim como cdpias do relatdrios anteriores a outros docunontos rolevantea foram diatribufdos aos membros da equips duranto a reunigo inicial. Oa docu ientos examinados polos membros da equip. encontram-se listados na secção /III, Referiencias

Overexpressed or intraperitoneally injected human transferrin prevents photoreceptor degeneration in rd10 mice.

PURPOSE: Retinal degeneration has been associated with iron accumulation in age-related macular degeneration (AMD), and in several rodent models that had one or several iron regulating protein impairments. We investigated the iron concentration and the protective role of human transferrin (hTf) in rd10 mice, a model of retinal degeneration. METHODS: The proton-induced X-ray emission (PIXE) method was used to quantify iron in rd10 mice 2, 3, and 4 weeks after birth. We generated mice with the β-phosphodiesterase mutation and hTf expression by crossbreeding rd10 mice with TghTf mice (rd10/hTf mice). The photoreceptor loss and apoptosis were evaluated by terminal deoxynucleotidyl transferase dUTP nick end labeling in 3-week-old rd10/hTf mice and compared with 3-week-old rd10 mice. The neuroprotective effect of hTf was analyzed in 5-day-old rd10 mice treated by intraperitoneal administration with hTf for up to 25 days. The retinal hTf concentrations and the thickness of the outer nuclear layer were quantified in all treated mice at 25 days postnatally. RESULTS: PIXE analysis demonstrated an age-dependent iron accumulation in the photoreceptors of rd10 mice. The rd10/hTf mice had the rd10 mutation, expressed high levels of hTf, and showed a significant decrease in photoreceptor death. In addition, rd10 mice intraperitoneally treated with hTf resulted in the retinal presence of hTf and a dose-dependent reduction in photoreceptor degeneration. CONCLUSIONS: Our results suggest that iron accumulation in the retinas of rd10 mutant mice is associated with photoreceptor degeneration. For the first time, the enhanced survival of cones and rods in the retina of this model has been demonstrated through overexpression or systemic administration of hTf. This study highlights the therapeutic potential of Tf to inhibit iron-induced photoreceptor cell death observed in degenerative diseases such as retinitis pigmentosa and age-related macular degeneration.

Krypton laser photocoagulation induces retinal vascular remodeling rather than choroidal neovascularization.

The purpose of this study is to analyze the retina and choroid response following krypton laser photocoagulation. Ninety-two C57BL6/Sev129 and 32 C57BL/6J, 5-6-week-old mice received one single krypton (630 nm) laser lesion: 50 microm, 0.05 s, 400 mW. On the following day, every day thereafter for 1 week and every 2-3 days for the following 3 weeks, serial sections throughout the lesion were systematically collected and studied. Immunohistology using specific markers or antibodies for glial fibrillary acidic protein (GFAP) (astrocytes, glia and Muller's cells), von Willebrand (vW) (vascular endothelial cells), TUNEL (cells undergoing caspase dependent apoptosis), PCNA (proliferating cell nuclear antigen) p36, CD4 and F4/80 (infiltrating inflammatory and T cells), DAPI (cell nuclei) and routine histology were carried out. Laser confocal microscopy was also performed on flat mounts. Temporal and spatial observations of the created photocoagulation lesions demonstrate that, after a few hours, activated glial cells within the retinal path of the laser beam express GFAP. After 48 h, GFAP-positive staining was also detected within the choroid lesion center. "Movement" of this GFAP-positive expression towards the lasered choroid was preceded by a well-demarcated and localized apoptosis of the retina outer nuclear layer cells within the laser beam path. Later, death of retinal outer nuclear cells and layer thinning at this site was followed by evagination of the inner nuclear retinal layer. Funneling of the entire inner nuclear and the thinned outer nuclear layers into the choroid lesion center was accompanied by "dragging" of the retinal capillaries. Thus, from days 10 to 14 after krypton laser photocoagulation onward, well-formed blood capillaries (of retinal origin) were observed within the lesion. Only a few of the vW-positive capillary endothelial cells stained also for PCNA p36. In the choroid, dilatation of the vascular bed occurred at the vicinity of the photocoagulation site and around it. Confocal microscopy demonstrates that the vessels throughout the path lesion are located within the neuroretina while in the choroid (after separation of the neural retina) only GFAP-positive but no lectin-positive cells can be seen. The involvement of infiltrating inflammatory cells in these remodeling and healing processes remained minimal throughout the study period. During the 4 weeks following krypton laser photocoagulation in the mouse eye, processes of wound healing and remodeling appear to be driven by cells (and vessels) originating from the retina.

Evaluation fonctionnelle cinématique après chirurgie de l'épaule.

Introduction: L'évaluation de la fonction de l'épaule à l'aide de capteurscinématiques embarqués produit des mesures discriminatives etsensibles au changement. Cependant, la réalisation pratique reste tropcomplexe pour l'utilisation courante. L'objectif de cette étude était dedévelopper une méthode d'évaluation cinématique simplifié et efficace.Méthode : Une analyse secondaire a été effectuée sur les donnéesd'un score de référence, basé sur la réalisation de 7 mouvements.Trente-cinq patients ont été mesurés à l'aide d'accéléromètreset de gyroscopes en préopératoire, ainsi qu'à 3, 6 et 12mois après chirurgie de l'épaule. Les mouvements essentiels ontété identifiés à l'aide une analyse en composantes principales(ACP). Une méthode d'évaluation simplifiée a ensuite été élaboréeen effectuant des régressions multiples des mouvementssélectionnées versus le score de référence à 3 mois. Les résultatsdu score simplifié ont été comparés au score de référence paranalyse statistique (ANOVA à mesure double répétées, régressionlinéaire, taille de l'effet, limite de l'agrément et corrélationaux échelles cliniques).Resultats : Une composante d'élévation et une composante de rotationreprésentant plus de 62 % de la variance ont été identifiées.Des modèles simplifiés d'évaluation ont donc été calculés avec desrégressions multiples incluant des combinaisons de mouvementsde rotation et d'élévation : dos-tête, dos-abduction, dos-épaule, dosplafond.La comparaison du score de référence et des scores simplifiésmontrait à tous les stades : une relation fortement linéaire (R2> 0,96), une taille de l'effet comparable (d de Cohen 1,33 à 1,51 versus1,33 pour le score de référence) et une corrélation comparable avecles scores cliniques (r = 0,22 à 0,8). La différence entre les scoresse situait entre - 6,28 et + 2,78. La limite de l'agrément variait de 13à 24 %. Parmi les scores simplifiés, seul le score « dos-plafond » nemontrait pas de différence avec le score de référence pour l'interactiontemps*score (p > 0,5).Discussion-Conclusion : Un score cinématique de l'épaule comprenantuniquement deux mouvements a été développé. Plusieursmodèles de score simplifiés produisent des résultats comparablesau score de référence pour l'évaluation de groupes de patients. Lescore moyen « dos-plafond » présente un profil d'évolution dans letemps en relation étroite avec le score de référence. Par contre, ladiscordance des résultats entre le score de référence et les scoressimplifiés lors de mesures individuelles doit être prise en considérationavant une éventuelle application à des études de cas clinique.Implications : Cette nouvelle méthode d'évaluation présente desavantages pratiques pour l'évaluation objective de l'épaule. Cecipourrait favoriser l'utilisation de méthodes d'analyse informatiséedu mouvement en clinique et pour la recherche. Les résultats confirmentégalement que l'on peut obtenir une bonne appréciation de lafonction de l'épaule en demandant au patient de mettre la main dansle dos, puis de lever le bras.

Genome-wide association analysis of copy number variation in recurrent depressive disorder.

Large, rare copy number variants (CNVs) have been implicated in a variety of psychiatric disorders, but the role of CNVs in recurrent depression is unclear. We performed a genome-wide analysis of large, rare CNVs in 3106 cases of recurrent depression, 459 controls screened for lifetime-absence of psychiatric disorder and 5619 unscreened controls from phase 2 of the Wellcome Trust Case Control Consortium (WTCCC2). We compared the frequency of cases with CNVs against the frequency observed in each control group, analysing CNVs over the whole genome, genic, intergenic, intronic and exonic regions. We found that deletion CNVs were associated with recurrent depression, whereas duplications were not. The effect was significant when comparing cases with WTCCC2 controls (P=7.7 × 10(-6), odds ratio (OR) =1.25 (95% confidence interval (CI) 1.13-1.37)) and to screened controls (P=5.6 × 10(-4), OR=1.52 (95% CI 1.20-1.93). Further analysis showed that CNVs deleting protein coding regions were largely responsible for the association. Within an analysis of regions previously implicated in schizophrenia, we found an overall enrichment of CNVs in our cases when compared with screened controls (P=0.019). We observe an ordered increase of samples with deletion CNVs, with the lowest proportion seen in screened controls, the next highest in unscreened controls and the highest in cases. This may suggest that the absence of deletion CNVs, especially in genes, is associated with resilience to recurrent depression.

The major genetic determinants of HIV-1 control affect HLA class I peptide presentation.

Infectious and inflammatory diseases have repeatedly shown strong genetic associations within the major histocompatibility complex (MHC); however, the basis for these associations remains elusive. To define host genetic effects on the outcome of a chronic viral infection, we performed genome-wide association analysis in a multiethnic cohort of HIV-1 controllers and progressors, and we analyzed the effects of individual amino acids within the classical human leukocyte antigen (HLA) proteins. We identified >300 genome-wide significant single-nucleotide polymorphisms (SNPs) within the MHC and none elsewhere. Specific amino acids in the HLA-B peptide binding groove, as well as an independent HLA-C effect, explain the SNP associations and reconcile both protective and risk HLA alleles. These results implicate the nature of the HLA-viral peptide interaction as the major factor modulating durable control of HIV infection.

Evaluation of a topical cyclosporine A prodrug on corneal graft rejection in rats.

PURPOSE: To assess the efficacy of a topical cyclosporine A (CsA), water-soluble prodrug, for promoting the survival of allogenic rat corneal grafts after penetrating keratoplasty (PKP). METHODS: Corneas of Brown-Norway rats (donors) were transplanted to Lewis rats (recipients). Transplanted rats were divided in three treatment groups: group I (PBS) and group II (0.26% Debio088) received drops five times per day. Group III received a daily intramuscular CsA injection (10 mg/kg/day). Blood CsA concentrations were measured on days 2 and 14. On day 4, 10, 13 after PKP, grafts were scored for corneal transparency, edema and extent of neovascularization. An opacity score of greater than or equal to 3 was considered as a nonreversible graft rejection process. On day 14, the experimental eyes were processed for histology. RESULTS: On day 13, 12 of the 18 corneal transplants (67%) in group I showed irreversible graft rejection. Three of 18 transplants (19%) in group II and 5 of 16 transplants (28%) in group III showed irreversible graft rejection (p=0.013/p=0.019, OR=0.14/0.06 versus vehicle). Each mean clinical score for edema, opacity, and neovessels in group II were significantly lower than those of the grafts in group I (respectively p=0.010, p=0.013, p=0.024) and III except for neovessels (respectively p=0.002, p=0.001, p=0.057). Histology confirmed the clinical results. The mean CsA blood levels for groups II and III were, respectively 54+/-141 mug/l and 755+/-319 mug/l on day 2 and 14+/-34 mug/l and 1318+/-463 mug/l on day 14. CONCLUSIONS: Debio088 CsA prodrug drops given five times daily are as effective as intramuscular injection of 10 mg/kg/day for the prevention of acute corneal graft rejection in rats.