On the longitudinal component of paraxial fields

The analysis of paraxial Gaussian beams features in most undergraduate courses in laser physics, advanced optics and photonics. These beams provide a simple model of the field generated in the resonant cavities of lasers, thus constituting a basic element for understanding laser theory. Usually, uniformly polarized beams are considered in the analytical calculations, with the electric field vibrating at normal planes to the propagation direction. However, such paraxial fields do not verify the Maxwell equations. In this paper we discuss how to overcome this apparent contradiction and evaluate the longitudinal component that any paraxial Gaussian beam should exhibit. Despite the fact that the assumption of a purely transverse paraxial field is useful and accurate, the inclusion of the above issue in the program helps students to clarify the importance of the electromagnetic nature of light, thus providing a more complete understanding of the paraxial approach.

Molecular dating of caprines using ancient DNA sequences of Myotragus balearicus, an extinct endemic Balearic mammal

Background: Myotragus balearicus was an endemic bovid from the Balearic Islands (Western Mediterranean) that became extinct around 6,000-4,000 years ago. The Myotragus evolutionary lineage became isolated in the islands most probably at the end of the Messinian crisis, when the desiccation of the Mediterranean ended, in a geological date established at 5.35 Mya. Thus, the sequences of Myotragus could be very valuable for calibrating the mammalian mitochondrial DNA clock and, in particular, the tree of the Caprinae subfamily, to which Myotragus belongs. Results: We have retrieved the complete mitochondrial cytochrome b gene (1,143 base pairs), plus fragments of the mitochondrial 12S gene and the nuclear 28S rDNA multi-copy gene from a well preserved Myotragus subfossil bone. The best resolved phylogenetic trees, obtained with the cytochrome b gene, placed Myotragus in a position basal to the Ovis group. Using the calibration provided by the isolation of Balearic Islands, we calculated that the initial radiation of caprines can be dated at 6.2 ± 0.4 Mya. In addition, alpine and southern chamois, considered until recently the same species, split around 1.6 ± 0.3 Mya, indicating that the two chamois species have been separated much longer than previously thought. Conclusion: Since there are almost no extant endemic mammals in Mediterranean islands, the sequence of the extinct Balearic endemic Myotragus has been crucial for allowing us to use the Messinian crisis calibration point for dating the caprines phylogenetic tree.

Genome-wide enrichment analysis between endometriosis and obesity-related traits reveals novel susceptibility loci.

Endometriosis is a chronic inflammatory condition in women that results in pelvic pain and subfertility, and has been associated with decreased body mass index (BMI). Genetic variants contributing to the heritable component have started to emerge from genome-wide association studies (GWAS), although the majority remain unknown. Unexpectedly, we observed an intergenic locus on 7p15.2 that was genome-wide significantly associated with both endometriosis and fat distribution (waist-to-hip ratio adjusted for BMI; WHRadjBMI) in an independent meta-GWAS of European ancestry individuals. This led us to investigate the potential overlap in genetic variants underlying the aetiology of endometriosis, WHRadjBMI and BMI using GWAS data. Our analyses demonstrated significant enrichment of common variants between fat distribution and endometriosis (P = 3.7 × 10(-3)), which was stronger when we restricted the investigation to more severe (Stage B) cases (P = 4.5 × 10(-4)). However, no genetic enrichment was observed between endometriosis and BMI (P = 0.79). In addition to 7p15.2, we identify four more variants with statistically significant evidence of involvement in both endometriosis and WHRadjBMI (in/near KIFAP3, CAB39L, WNT4, GRB14); two of these, KIFAP3 and CAB39L, are novel associations for both traits. KIFAP3, WNT4 and 7p15.2 are associated with the WNT signalling pathway; formal pathway analysis confirmed a statistically significant (P = 6.41 × 10(-4)) overrepresentation of shared associations in developmental processes/WNT signalling between the two traits. Our results demonstrate an example of potential biological pleiotropy that was hitherto unknown, and represent an opportunity for functional follow-up of loci and further cross-phenotype comparisons to assess how fat distribution and endometriosis pathogenesis research fields can inform each other.

Interactome analysis reveals that FAM161A, deficient in recessive retinitis pigmentosa, is a component of the Golgi-centrosomal network.

Defects in FAM161A, a protein of unknown function localized at the cilium of retinal photoreceptor cells, cause retinitis pigmentosa, a form of hereditary blindness. By using different fragments of this protein as baits to screen cDNA libraries of human and bovine retinas, we defined a yeast two-hybrid-based FAM161A interactome, identifying 53 bona fide partners. In addition to statistically significant enrichment in ciliary proteins, as expected, this interactome revealed a substantial bias towards proteins from the Golgi apparatus, the centrosome and the microtubule network. Validation of interaction with key partners by co-immunoprecipitation and proximity ligation assay confirmed that FAM161A is a member of the recently recognized Golgi-centrosomal interactome, a network of proteins interconnecting Golgi maintenance, intracellular transport and centrosome organization. Notable FAM161A interactors included AKAP9, FIP3, GOLGA3, KIFC3, KLC2, PDE4DIP, NIN and TRIP11. Furthermore, analysis of FAM161A localization during the cell cycle revealed that this protein followed the centrosome during all stages of mitosis, likely reflecting a specific compartmentalization related to its role at the ciliary basal body during the G0 phase. Altogether, these findings suggest that FAM161A's activities are probably not limited to ciliary tasks but also extend to more general cellular functions, highlighting possible novel mechanisms for the molecular pathology of retinal disease.

Molecular profiling of non-small cell lung cancer by histologic subtype

Background: A substantial proportion of NSCLC has been shown to harbour specific molecular alterations affecting tumour proliferation and resulting in sensitivity to inhibition of the corresponding activated oncogenic pathway by targeted therapies. Comprehensive tumor profiling can diagnose such alterations and may identify new alterations opening additional treatment options for all distinct NSCLC subtypes. Methods: Over 6,700 non-small cell lung cancer cases referred to Caris Life Sciences between 2009 and 2014 were evaluated; clinical diagnoses and detailed tumor pathology were collected from referring physicians. Specific profiling was performed per physician request and included a combination of sequencing (Sanger, NGS or pyrosequencing), protein expression (IHC), gene amplification/rearrangement (CISH or FISH), and/or RNA fragment analysis within potential cancer-related genes and pathways. Results: Patients were grouped into cohorts according to histological subtype - adenocarcinoma (AD) (n=4,286), squamous cell carcinoma (SCC) (n=1,280), large cell carcinoma (LCC) (n=153) and bronchioalveolar carcinoma (BAC) (n=94). Protein overexpression of cMET (>2+ in >50% cells) was higher in AD (35.9%) compared to other subgroups (12-20%) while RRM1 and TOP2A levels were lower in AD. ALK or ROS1 were rearranged in 5.3% of patients with AD compared to 3.7% of patients with LCC and 1.2% of patients with SCC. EGFR mutations were found at low prevalence in both the LCC (0%) and SCC cohorts (2.8%) compared to 21% in AD. Similar lower rates of BRAF mutations were observed in the LCC and SCC cohorts compared to AD (0%, 1.1% and 5.1%). Pathway analysis showed activating mutations in the ERK pathway in 40% of patients with AD. Only 10-12% of patients with LCC or SCC had activating mutations in the ERK pathway. Conclusions: Despite the limitations of this retrospective series, we report comprehensive profiling of the largest cohort of NSCLC. Tumor profiling reveals that ADs may be more addicted to the ERK pathway than other histological subtypes. Drugs which target cMET may also have most utility in AD. Full analysis by histological subtype and additional correlative data on protein expression, gene copy number and mutations will be presented.

Potential blindness in children of patients with hereditary bone disease.

Mono- and bi-allelic mutations in the low-density lipoprotein receptor related protein 5 (LRP5) may cause osteopetrosis, autosomal dominant and recessive exudative vitreoretinopathy, juvenile osteoporosis, or persistent hyperplastic primary vitreous (PHPV). We report on a child affected with PHPV and carrying compound mutations. The father carried the splice mutation and suffered from severe bone fragility since childhood. The mother carried the missense mutation without any clinical manifestations. The genetic diagnosis of their child allowed for appropriate treatment in the father and for the detection of osteopenia in the mother. Mono- and bi-allelic mutations in LRP5 may cause osteopetrosis, autosomal dominant and recessive exudative vitreoretinopathy, juvenile osteoporosis, or PHPV. PHPV is a component of persistent fetal vasculature of the eye, characterized by highly variable expressivity and resulting in a wide spectrum of anterior and/or posterior congenital developmental defects, which may lead to blindness. We evaluated a family diagnosed with PHPV in their only child. The child presented photophobia during the first 3 weeks of life, followed by leukocoria at 2 months of age. Molecular resequencing of NDP, FZD4, and LRP5 was performed in the child and segregation of the observed mutations in the parents. At presentation, fundus examination of the child showed a retrolental mass in the right eye. Ultrasonography revealed retinal detachment in both eyes. Thorough familial analysis revealed that the father suffered from many fractures since childhood without specific fragility bone diagnosis, treatment, or management. The mother was asymptomatic. Molecular analysis in the proband identified two mutations: a c.[2091+2T>C] splice mutation and c.[1682C>T] missense mutation. We report the case of a child affected with PHPV and carrying compound heterozygous LRP5 mutations. This genetic diagnosis allowed the clinical diagnosis of the bone problem to be made in the father, resulting in better management of the family. It also enabled preventive treatment to be prescribed for the mother and accurate genetic counseling to be provided.

Lista de recomendações do Exame PET/CT com 18F-FDG em Oncologia: consenso entre a Sociedade Brasileira de Cancerologia e a Sociedade Brasileira de Biologia, Medicina Nuclear e Imagem Molecular

Apresentamos uma lista de recomendações sobre a utilização de 18F-FDG PET em oncologia, no diagnóstico, estadiamento e detecção de recorrência ou progressão do câncer. Foi realizada pesquisa para identificar estudos controlados e revisões sistemáticas de literatura composta por estudos retrospectivos e prospectivos. As consequências e o impacto da 18F-FDG PET no manejo de pacientes oncológicos também foram avaliados. A 18F-FDG PET deve ser utilizada como ferramenta adicional aos métodos de imagem convencionais como tomografia computadorizada e ressonância magnética. Resultados positivos que sugiram alteração no manejo clínico devem ser confirmados por exame histopatológico. A 18F-FDG PET deve ser utilizada no manejo clínico apropriado para o diagnóstico de cânceres do sistema respiratório, cabeça e pescoço, sistema digestivo, mama, melanoma, órgão genitais, tireoide, sistema nervoso central, linfoma e tumor primário oculto.

Molecular Physics of Elementary Processes relevant to Hypersonics: atom-molecule, molecule-molecule and atom-surface processes.

In the present chapter some prototype gas and gas-surface processes occurring within the hypersonic flow layer surrounding spacecrafts at planetary entry are discussed. The discussion is based on microscopic dynamical calculations of the detailed cross sections and rate coefficients performed using classical mechanics treatments for atoms, molecules and surfaces. Such treatment allows the evaluation of the efficiency of thermal processes (both at equilibrium and nonequilibrium distributions) based on state-to-state and state specific calculations properly averaged over the population of the initial states. The dependence of the efficiency of the considered processes on the initial partitioning of energy among the various degrees of freedom is discussed.

Subfamilial and tribal relationships of Ranunculaceae: evidence from eight molecular markers

The first molecular phylogenies of the flowering plant family Ranunculaceae were published more than twenty years ago, and have led to major changes in the infrafamilial classification. However, the current phylogeny is not yet well supported, and relationships among subfamilies and tribes of Ranunculaceae remain an open question. Eight molecular markers from the three genomes (nuclear, chloroplast and mitochondrial) were selected to investigate these relationships, including new markers for the family (two homologs of the nuclear CYCLOIDEA gene, the chloroplast gene ndhF, and the mitochondrial intron nad4-I1). The combination of multiple markers led to better resolution and higher support of phylogenetic relationships among subfamilies of Ranunculaceae, and among tribes within subfamily Ranunculoideae. Our results challenge the monophyly of Ranunculoideae as currently circumscribed due to the position of tribe Adonideae (Ranunculoideae), sister to Thalictroideae. We suggest that Thalictroideae could be merged with Ranunculoideae in an enlarged single subfamily.

Molecular analysis of NOTCH2 in patients with primary open-angle glaucoma

Le glaucome est la seconde cause de cécité dans le monde après la cataracte et est caractérisé par la perte progressive de cellules ganglionnaires de la rétine allant vers la dégénérescence du nerf optique. On distingue deux formes de glaucome; le glaucome à angle fermé et le glaucome à angle ouvert. L'hérédité du glaucome est souvent sporadique, parfois autosomique dominante. Une pression intraoculaire de plus de 21 mmHg représente un facteur de risque important pour son développement. Actuellement, la mutation la plus fréquente, observée dans 5% des cas de glaucome héréditaire, est retrouvée dans le gène MYOC (trabecular meshwork inducible glucocorticoide response). À ce jour, les causes et mécanismes moléculaires sous-jacent ne sont que partiellement compris. Récemment, il a été démontré qu'une souris transgénique exprimant le gène Notch2 dans luvée, développait un glaucome. Pour cette raison, nous avons analysé le gène NOTCH2 chez l'homme afin de déterminer s'il était impliqué. NOTCH2 est composé de 34 exons sur le chromosome 1 et code une protéine transmembranaire essentielle à la prolifération, l'apoptose, la différenciation cellulaire et le destin cellulaires. L'expression du gène est localisée dans le segment antérieur de l'oeil, le segment externe du corps ciliaire et le trabéculum. Les fonctions principales de ces deux tissus sont la production et le drainage de l'humeur aqueuse. Pour mémoire, une perturbation du flux peut générer une augmentation de la pression intraoculaire. Le but de cette étude était de rechercher d'éventuelles mutations du gène NOTCH2 chez des patients souffrant de glaucome. 130 patients ont été vu à l'hôpital ophtalmique Jules- Gonin et un échantillon d'ADN a été récolté afin d'identifier l'origine moléculaire de leur pathologie. L'analyse moléculaire s'est fait étape par étape. Premièrement, j'ai séquencé l'exon 3 du gène MYOC. Deuxièment, la Chromatographie en phase liquide à haute performance a été utilisée pour l'analyse des 34 exons du gène NOTCH2. Troisièment, tous les exons présentant une courbe suspecte au chromatogramme ont été séquencés selon la méthode de Sanger. Dans la première partie de l'étude, j'ai analysé l'exon 3 du gène MYOC afin de déterminer les éventuels porteurs d'une mutation dominante. Aucune mutation pathogénique n'a été mis en évidence mais 4 patients sur les 130 étaient porteurs d'un variant connu et fréquent. Dans la deuxième partie de mon étude, j'ai analysé les 34 exons du gène NOTCH2, qui n'ont révélé aucune mutation. Bien que les méthodes utilisées dans cette étude montrent quelques limitations, il est peu probable que des mutations dans les régions codantes de NOTCH2 soient un facteur de risque important dans le glaucome primaire à angle ouvert.

Uma introdução à análise exploratória de dados multivariados

The modern technological ability to handle large amounts of information confronts the chemist with the necessity to re-evaluate the statistical tools he routinely uses. Multivariate statistics furnishes theoretical bases for analyzing systems involving large numbers of variables. The mathematical calculations required for these systems are no longer an obstacle due to the existence of statistical packages that furnish multivariate analysis options. Here basic concepts of two multivariate statistical techniques, principal component and hierarchical cluster analysis that have received broad acceptance for treating chemical data are discussed.

Quimiometria I: calibração multivariada, um tutorial

The aim of this work is to present a tutorial on Multivariate Calibration, a tool which is nowadays necessary in basically most laboratories but very often misused. The basic concepts of preprocessing, principal component analysis (PCA), principal component regression (PCR) and partial least squares (PLS) are given. The two basic steps on any calibration procedure: model building and validation are fully discussed. The concepts of cross validation (to determine the number of factors to be used in the model), leverage and studentized residuals (to detect outliers) for the validation step are given. The whole calibration procedure is illustrated using spectra recorded for ternary mixtures of 2,4,6 trinitrophenolate, 2,4 dinitrophenolate and 2,5 dinitrophenolate followed by the concentration prediction of these three chemical species during a diffusion experiment through a hydrophobic liquid membrane. MATLAB software is used for numerical calculations. Most of the commands for the analysis are provided in order to allow a non-specialist to follow step by step the analysis.

Modeling reaction kinetics and mass transfer in ozonation in water solutions

This dissertation is based on four articles dealing with modeling of ozonation. The literature part of this considers some models for hydrodynamics in bubble column simulation. A literature review of methods for obtaining mass transfer coefficients is presented. The methods presented to obtain mass transfer are general models and can be applied to any gas-liquid system. Ozonation reaction models and methods for obtaining stoichiometric coefficients and reaction rate coefficients for ozonation reactions are discussed in the final section of the literature part. In the first article, ozone gas-liquid mass transfer into water in a bubble column was investigated for different pH values. A more general method for estimation of mass transfer and Henry’s coefficient was developed from the Beltrán method. The ozone volumetric mass transfer coefficient and the Henry’s coefficient were determined simultaneously by parameter estimation using a nonlinear optimization method. A minor dependence of the Henry’s law constant on pH was detected at the pH range 4 - 9. In the second article, a new method using the axial dispersion model for estimation of ozone self-decomposition kinetics in a semi-batch bubble column reactor was developed. The reaction rate coefficients for literature equations of ozone decomposition and the gas phase dispersion coefficient were estimated and compared with the literature data. The reaction order in the pH range 7-10 with respect to ozone 1.12 and 0.51 the hydroxyl ion were obtained, which is in good agreement with literature. The model parameters were determined by parameter estimation using a nonlinear optimization method. Sensitivity analysis was conducted using object function method to obtain information about the reliability and identifiability of the estimated parameters. In the third article, the reaction rate coefficients and the stoichiometric coefficients in the reaction of ozone with the model component p-nitrophenol were estimated at low pH of water using nonlinear optimization. A novel method for estimation of multireaction model parameters in ozonation was developed. In this method the concentration of unknown intermediate compounds is presented as a residual COD (chemical oxygen demand) calculated from the measured COD and the theoretical COD for the known species. The decomposition rate of p-nitrophenol on the pathway producing hydroquinone was found to be about two times faster than the p-nitrophenol decomposition rate on the pathway producing 4- nitrocatechol. In the fourth article, the reaction kinetics of p-nitrophenol ozonation was studied in a bubble column at pH 2. Using the new reaction kinetic model presented in the previous article, the reaction kinetic parameters, rate coefficients, and stoichiometric coefficients as well as the mass transfer coefficient were estimated with nonlinear estimation. The decomposition rate of pnitrophenol was found to be equal both on the pathway producing hydroquinone and on the path way producing 4-nitrocathecol. Comparison of the rate coefficients with the case at initial pH 5 indicates that the p-nitrophenol degradation producing 4- nitrocathecol is more selective towards molecular ozone than the reaction producing hydroquinone. The identifiability and reliability of the estimated parameters were analyzed with the Marcov chain Monte Carlo (MCMC) method. @All rights reserved. No part of the publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior permission of the author.

Entendendo estrutura molecular com a molécula de hidrogênio ionizada

In this paper a general view about the modern molecular structure theory is developed discussing the ionized hydrogen molecule. We introduce some necessary approximation methods for the electronic and nuclear spectra study adopting a systematic approach. In addition though, we have performed calculations in order to illustrate these methods.