Relation between sequence and structure of HIV-1 protease inhibitor complexes: a model system for the analysis of protein flexibility.

The flexibility of different regions of HIV-1 protease was examined by using a database consisting of 73 X-ray structures that differ in terms of sequence, ligands or both. The root-mean-square differences of the backbone for the set of structures were shown to have the same variation with residue number as those obtained from molecular dynamics simulations, normal mode analyses and X-ray B-factors. This supports the idea that observed structural changes provide a measure of the inherent flexibility of the protein, although specific interactions between the protease and the ligand play a secondary role. The results suggest that the potential energy surface of the HIV-1 protease is characterized by many local minima with small energetic differences, some of which are sampled by the different X-ray structures of the HIV-1 protease complexes. Interdomain correlated motions were calculated from the structural fluctuations and the results were also in agreement with molecular dynamics simulations and normal mode analyses. Implications of the results for the drug-resistance engendered by mutations are discussed briefly.

Fragmentation of massive dense cores down to <~ 1000 AU: relation between fragmentation and density structure

In order to shed light on the main physical processes controlling fragmentation of massive dense cores, we present a uniform study of the density structure of 19 massive dense cores, selected to be at similar evolutionary stages, for which their relative fragmentation level was assessed in a previous work. We inferred the density structure of the 19 cores through a simultaneous fit of the radial intensity profiles at 450 and 850 μm (or 1.2 mm in two cases) and the spectral energy distribution, assuming spherical symmetry and that the density and temperature of the cores decrease with radius following power-laws. Even though the estimated fragmentation level is strictly speaking a lower limit, its relative value is significant and several trends could be explored with our data. We find a weak (inverse) trend of fragmentation level and density power-law index, with steeper density profiles tending to show lower fragmentation, and vice versa. In addition, we find a trend of fragmentation increasing with density within a given radius, which arises from a combination of flat density profile and high central density and is consistent with Jeans fragmentation. We considered the effects of rotational-to-gravitational energy ratio, non-thermal velocity dispersion, and turbulence mode on the density structure of the cores, and found that compressive turbulence seems to yield higher central densities. Finally, a possible explanation for the origin of cores with concentrated density profiles, which are the cores showing no fragmentation, could be related with a strong magnetic field, consistent with the outcome of radiation magnetohydrodynamic simulations.

Molecular biology of the kallikrein-kinin system: from structure to function

The participation of the kallikrein-kinin system, comprising the serine proteases kallikreins, the protein substrates kininogens and the effective peptides kinins, in some pathological processes like hypertension and cardiovascular diseases is still a matter of controversy. The use of different experimental set-ups in concert with the development of potent and specific inhibitors and antagonists for the system has highlighted its importance but the results still lack conclusivity. Over the last few years, transgenic and gene-targeting technologies associated with molecular biology tools have provided specific information about the elusive role of the kallikrein-kinin system in the control of blood pressure and electrolyte homeostasis. cDNA and genomic sequences for kinin receptors B2 and B1 from different species were isolated and shown to encode G-protein-coupled receptors and the structure and pharmacology of the receptors were characterized. Transgenic animals expressing an overactive kallikrein-kinin system were established to study the cardiovascular effects of these alterations and the results of these investigations further corroborate the importance of this system in the maintenance of normal blood pressure. Knockout animals for B2 and B1 receptors are available and their analysis also points to the role of these receptors in cardiovascular regulation and inflammatory processes. In this paper the most recent and relevant genetic animal models developed for the study of the kallikrein-kinin system are reviewed, and the advances they brought to the understanding of the biological role of this system are discussed.

Diagnosing dementia and normal aging: clinical relevance of brain ratios and cognitive performance in a Brazilian sample

The main objective of the present study was to evaluate the diagnostic value (clinical application) of brain measures and cognitive function. Alzheimer and multiinfarct patients (N = 30) and normal subjects over the age of 50 (N = 40) were submitted to a medical, neurological and cognitive investigation. The cognitive tests applied were Mini-Mental, word span, digit span, logical memory, spatial recognition span, Boston naming test, praxis, and calculation tests. The brain ratios calculated were the ventricle-brain, bifrontal, bicaudate, third ventricle, and suprasellar cistern measures. These data were obtained from a brain computer tomography scan, and the cutoff values from receiver operating characteristic curves. We analyzed the diagnostic parameters provided by these ratios and compared them to those obtained by cognitive evaluation. The sensitivity and specificity of cognitive tests were higher than brain measures, although dementia patients presented higher ratios, showing poorer cognitive performances than normal individuals. Normal controls over the age of 70 presented higher measures than younger groups, but similar cognitive performance. We found diffuse losses of tissue from the central nervous system related to distribution of cerebrospinal fluid in dementia patients. The likelihood of case identification by functional impairment was higher than when changes of the structure of the central nervous system were used. Cognitive evaluation still seems to be the best method to screen individuals from the community, especially for developing countries, where the cost of brain imaging precludes its use for screening and initial assessment of dementia.

Photic driving in the electroencephalogram of children and adolescents: harmonic structure and relation to the resting state

In order to identify latent bioelectrical oscillators, 15 normal subjects (aged 9-17 years, 8 males, 7 females) were subjected to intermittent photic stimulation. The EEG amplitude spectra corresponding to the 11 fixed frequencies of stimulation presented (3-24 Hz) were combined to form "profiles" of the driving reaction in the right occipital area. The driving response varied with frequency, and was demonstrable in 70-100% of cases (using as criterion peak amplitudes 20% larger than those of the neighbors). The strongest responses were observed at the frequency closest to the alpha peak of the resting EEG. A secondary profile maximum was in the theta band. In 10 subjects, this maximum exceeded half the alpha peak (with an average of 72.4% of the alpha peak), while in the resting spectra, theta amplitudes were much lower than the alpha maxima. This responsiveness in theta activity seems to be characteristic of prepubertal and pubertal subjects. The profiles and resting EEG spectra showed a highly significant Pearson's correlation, with the peak in the theta band of the profiles being the main difference observed between them. The correlation coefficient was significantly correlated with the ratio of the maxima in the theta and alpha bands (R = -0.77, P<0.001). The correlation coefficient between profile and resting spectrum may be a useful indicator in screening methods used to reveal latent cerebral oscillators. Profiles for the second and third harmonics were correlated with those of the first harmonic (fundamental frequency), when considering the corresponding EEG frequencies. Peak frequencies in all three profiles were close to those of the individual's background alpha rhythm, and peak amplitudes in higher harmonics were not much lower than those of the fundamental frequency (mean values of 84 and 63%, for second and third harmonics, respectively).

Formin proteins in normal tissues and cancer

The actin cytoskeleton is a dynamic structure that determines cell shape. Actin turnover is mandatory for migration in normal and malignant cells. In epithelial cancers invasion is frequently accompanied by epithelial to mesenchymal transition (EMT). In EMT, cancer cells acquire a migratory phenotype through transcriptional reprogramming. EMT requires substantial re-organization of actin. During the past decade, new actin regulating proteins have been discovered. Among these are members of the formin family. To study formin expression in tissues and cells, antibodies for detection of formin proteins FMNL1 (Formin-like protein 1), FMNL2 (Formin-like protein 2) and FHOD1 (Formin homology 2 domain containing protein 1) were used. The expression of formins was characterized in normal tissues and selected cancers using immunohistochemistry. The functional roles of formins were studied in cancer cell lines. We found that FMNL2 is widely expressed. It is a filopodial component in cultured melanoma cells. In clinical melanoma, FMNL2 expression has prognostic significance. FHOD1 is a formin expressed in mesenchymal cell types. FHOD1 expression is increased in oral squamous cell carcinoma (SCC) EMT. Importantly, FHOD1 participates in invasion of cultured oral SCC cells. FMNL1 expression is low in normal epithelia, but high in leukocytes and smooth muscle cells. Expression of FMNL1 can be found in carcinoma; we detected FMNL1 expressing cells in basal type of breast cancer. Our results indicate that formins are differentially expressed in normal tissues and that their expression may shift in cancer. Functionally FMNL2 and FHOD1 participate in processes related to cancer progression. Studying formins is increasingly important since they are potential drug targets.

Computed tomography assessment of lung structure in patients undergoing cardiac surgery with cardiopulmonary bypass

Hypoxemia is a frequent complication after coronary artery bypass graft (CABG) with cardiopulmonary bypass (CPB), usually attributed to atelectasis. Using computed tomography (CT), we investigated postoperative pulmonary alterations and their impact on blood oxygenation. Eighteen non-hypoxemic patients (15 men and 3 women) with normal cardiac function scheduled for CABG under CPB were studied. Hemodynamic measurements and blood samples were obtained before surgery, after intubation, after CPB, at admission to the intensive care unit, and 12, 24, and 48 h after surgery. Pre- and postoperative volumetric thoracic CT scans were acquired under apnea conditions after a spontaneous expiration. Data were analyzed by the paired Student t-test and one-way repeated measures analysis of variance. Mean age was 63 ± 9 years. The PaO2/FiO2 ratio was significantly reduced after anesthesia induction, reaching its nadir after CPB and partially improving 12 h after surgery. Compared to preoperative CT, there was a 31% postoperative reduction in pulmonary gas volume (P < 0.001) while tissue volume increased by 19% (P < 0.001). Non-aerated lung increased by 253 ± 97 g (P < 0.001), from 3 to 27%, after surgery and poorly aerated lung by 72 ± 68 g (P < 0.001), from 24 to 27%, while normally aerated lung was reduced by 147 ± 119 g (P < 0.001), from 72 to 46%. No correlations (Pearson) were observed between PaO2/FiO2 ratio or shunt fraction at 24 h postoperatively and postoperative lung alterations. The data show that lung structure is profoundly modified after CABG with CPB. Taken together, multiple changes occurring in the lungs contribute to postoperative hypoxemia rather than atelectasis alone.

Primary structure and expression studies of the dihydrofolate reductase gene (DFRI) of Saccharomyces cerevisiae

The nucleotide sequence of a genomic DNA fragment thought previously to contain the dihydrofolate reductase gene (DFR1) of Saccharomyces cerevisiae by genetic criteria was determined. This DNA fragment of 1784' basepairs contains a large open reading frame from position 800 to 1432, which encodes a enzyme with a predicted molecular weight of 24,229.8 Daltons. Analysis of the amino acid sequence of this protein revealed that the yeast polypep·tide contained 211 amino acids, compared to the 186 residues commonly found in the polypeptides of other eukaryotes. The difference in size of the gene product can be attributed mainly to an insert in the yeast gene. Within this region, several consensus sequences required for processing of yeast nuclear and class II mitochondrial introns were identified, but appear not sufficient for the RNA splicing. The primary structure of the yeast DHFR protein has considerable sequence homology with analogous polypeptides from other organisms, especially in the consensus residues involved in cofactor and/or inhibitor binding. Analysis of the nucleotide sequence also revealed the presence of a number of canonical sequences identified in yeast as having some function in the regulation of gene expression. These include UAS elements (TGACTC) required for tIle amino acid general control response, and "TATA H boxes as well as several consensus sequences thought to be required for transcriptional termination and polyadenylation. Analysis of the codon usage of the yeast DFRl coding region revealed a codon bias index of 0.0083. this valve very close to zero suggestes 3 that the gene is expressed at a relatively low level under normal physiological conditions. The information concerning the organization of the DFRl were used to construct a variety of fusions of its 5' regulatory region with the coding region of the lacZ gene of E. coli. Some of such fused genes encoded a fusion product that expressed in E.coli and/or in yeast under the control of the 5' regulatory elements of the DFR1. Further studies with these fusion constructions revealed that the beta-galactosidase activity encoded on multicopy plasmids was stimulated transiently by prior exposure of yeast host cells to UV light. This suggests that the yeast PFRl gene is indu.ced by UV light and nlay in1ply a novel function of DHFR protein in the cellular responses to DNA damage. Another novel f~ature of yeast DHFR was revealed during preliminary studies of a diploid strain containing a heterozygous DFRl null allele. The strain was constructed by insertion of a URA3 gene within the coding region of DFR1. Sporulation of this diploid revealed that meiotic products segregated 2:0 for uracil prototrophy when spore clones were germinated on medium supplemented with 5-formyltetrahydrofolate (folinic acid). This finding suggests that, in addition to its catalytic activity, the DFRl gene product nlay play some role in the anabolisln of folinic acid. Alternatively, this result may indicate that Ura+ haploid segregants were inviable and suggest that the enzyme has an essential cellular function in this species.

Testing Mean-Variance Efficiency in CAPM with Possibly Non-Gaussian Errors : An Exact Simulation-Based Approach

In this paper we propose exact likelihood-based mean-variance efficiency tests of the market portfolio in the context of Capital Asset Pricing Model (CAPM), allowing for a wide class of error distributions which include normality as a special case. These tests are developed in the frame-work of multivariate linear regressions (MLR). It is well known however that despite their simple statistical structure, standard asymptotically justified MLR-based tests are unreliable. In financial econometrics, exact tests have been proposed for a few specific hypotheses [Jobson and Korkie (Journal of Financial Economics, 1982), MacKinlay (Journal of Financial Economics, 1987), Gib-bons, Ross and Shanken (Econometrica, 1989), Zhou (Journal of Finance 1993)], most of which depend on normality. For the gaussian model, our tests correspond to Gibbons, Ross and Shanken’s mean-variance efficiency tests. In non-gaussian contexts, we reconsider mean-variance efficiency tests allowing for multivariate Student-t and gaussian mixture errors. Our framework allows to cast more evidence on whether the normality assumption is too restrictive when testing the CAPM. We also propose exact multivariate diagnostic checks (including tests for multivariate GARCH and mul-tivariate generalization of the well known variance ratio tests) and goodness of fit tests as well as a set estimate for the intervening nuisance parameters. Our results [over five-year subperiods] show the following: (i) multivariate normality is rejected in most subperiods, (ii) residual checks reveal no significant departures from the multivariate i.i.d. assumption, and (iii) mean-variance efficiency tests of the market portfolio is not rejected as frequently once it is allowed for the possibility of non-normal errors.

Développement physiologique des voies visuelles chez le rat normal et chez celui ayant subi des convulsions hyperthermiques

Les neurones des couches superficielles du collicule supérieur et du cortex visuel primaire du rat adulte sont sensibles à de basses fréquences spatiales de haut contraste défilant à des vitesses élevées. Entre les jours post-nataux 27-30 et l’âge adulte, les fréquences temporelles optimales des neurones du cortex visuel primaire augmentent, tandis que leurs seuils de contraste diminuent. Cependant, les fréquences spatiales optimales, les valeurs de résolution spatiale et les bandes passantes spatiales de ces neurones sont, dès l’ouverture des paupières, similaires à celles observées chez le rat adulte. Ces profils de réponse neuronale suggèrent que les projections rétino-colliculaires et rétino-géniculo-corticales sont essentiellement issues de neurones ganglionnaires rétinofuges magnocellulaires et koniocellulaires. Les neurones du cortex visuel primaire du rat ayant subi des convulsions hyperthermiques présentent, dès l’ouverture des paupières, de basses fréquences spatiales optimales, de larges bandes passantes directionnelles et temporelles ainsi que des seuils de contraste élevés par rapport aux neurones du rat normal. À l’âge adulte, de basses fréquences temporelles optimales et de larges bandes passantes spatiales sont également observées chez le rat ayant subi des convulsions hyperthermiques. L’altération des profils de réponse des neurones du cortex visuel primaire du rat ayant subi de convulsions hyperthermiques suggère un déséquilibre entre les mécanismes neuronaux excitateurs et inhibiteurs de cette aire corticale. Ces résultats suggèrent également qu’un épisode unique de convulsions fébriles infantiles suffit à altérer le développement des propriétés spatio-temporelles des champs récepteurs des neurones du cortex visuel primaire.

La structure du sommeil et l’activité cardiaque nocturne chez les adolescents ayant un trouble anxieux

L’objectif de la présente thèse était de caractériser le sommeil d’un groupe clinique d’enfants et d’adolescents ayant un trouble d’anxiété comme diagnostic primaire et le comparer à un groupe témoin. Dans un premier temps, nous avons vérifié si le profil de la fréquence cardiaque nocturne des enfants et des adolescents pouvait être regroupé selon le diagnostic. Pour ce faire, la fréquence cardiaque nocturne de 67 adolescents anxieux et 19 sujets non anxieux a été enregistrée à l’aide d’un équipement ambulatoire. Les résultats de cette étude montrent que le profil de la fréquence cardiaque nocturne chez les enfants anxieux varie selon le diagnostic. Alors que les adolescents non anxieux montrent un profil de la fréquence cardiaque nocturne plat, on retrouve les associations suivantes chez les adolescents ayant un trouble anxieux : a) un profil croissant de la fréquence cardiaque chez les adolescents ayant un trouble d’anxiété de séparation; b) un profil décroissant de la fréquence cardiaque chez les adolescents ayant un trouble d’anxiété généralisé; c) un profil en forme de U chez les adolescents ayant un trouble d’anxiété sociale. De plus, une association significative a été observée entre le diagnostic et la présence de fatigue matinale. L’association d’un profil de la fréquence cardiaque nocturne avec un diagnostic d’anxiété suggère la présence d’une dysrégulation de la modulation chronobiologique du système nerveux autonome. Étant donné que le profil de la fréquence cardiaque nocturne s’exprime différemment selon le diagnostic, qu’en est-il de l’architecture du sommeil? Dans un deuxième temps, nous avons enregistré le sommeil en laboratoire d’un groupe clinique de 19 jeunes ayant un trouble d’anxiété comme diagnostic primaire, avec comorbidités et médication et comparé à 19 jeunes non anxieux. Les résultats de cette étude ont montré que les participants du groupe anxieux ont une latence au sommeil plus longue, une latence au sommeil paradoxal plus longue et une durée d’éveil plus longue lorsque comparé au groupe témoin. L’évaluation subjective de la qualité du sommeil chez le groupe d’adolescents anxieux montre que leur auto-évaluation reflète les valeurs enregistrées en laboratoire. Nous avons également observé chez le groupe anxieux une fréquence cardiaque moyenne plus élevée et un index plus élevé d’apnée-hypopnée, bien que non pathologique. Nous avons également observé une association positive entre l’anxiété de trait et l’indice d’apnée-hypopnée et la latence au sommeil, ainsi qu’une association positive entre l’anxiété manifeste et la latence au sommeil paradoxal. Ces résultats suggèrent que le sommeil chez cette population est altéré, que des signes d’hypervigilance physiologique sont présents et qu'une association existe entre ces deux paramètres. Finalement, dans la troisième étude de cette thèse, nous avons analysé l’activité cardiaque pendant le sommeil en utilisant les paramètres temporels et fréquentiels de la variabilité cardiaque chez un groupe clinique de dix-sept enfants et adolescents ayant un trouble d’anxiété comme diagnostic primaire avec comorbidité et médication, et comparé à un groupe non anxieux. Les résultats ont montré que les participants du groupe anxieux, lorsque comparés au groupe non anxieux, présentent des intervalles interbattements plus courts, un indice temporel de la variabilité cardiaque représentant la branche parasympathique moindre, une activité des hautes fréquences normalisées moindre et un ratio basse fréquence sur haute fréquence augmenté. Plusieurs corrélations ont été observées entre les mesures cliniques de l’anxiété et les mesures de la variabilité cardiaque. Ces résultats viennent ajouter à la littérature actuelle un volet descriptif clinique à ce jour non documenté, soit l’impact de l’anxiété pathologique chez un groupe clinique d’enfants et d’adolescents sur le processus normal du sommeil et sur la régulation de la fréquence cardiaque. En résumé, les résultats de ces trois études ont permis de documenter chez un groupe clinique d’enfants et d’adolescents ayant de l’anxiété pathologique, la présence d’une altération circadienne du profil de la fréquence cardiaque, d’une architecture altérée du sommeil ainsi qu’une dysrégulation du système nerveux contrôlant l’activité cardiaque.

L’effet du vieillissement normal sur les mécanismes centraux de la régulation de la douleur

Les personnes vieillissantes doivent composer au quotidien avec des douleurs chroniques. Le but de ce travail est de mieux comprendre les mécanismes sous-jacents qui contribueraient aux douleurs chroniques liées au vieillissement et par là, ouvrir un chemin vers de nouvelles perspectives thérapeutiques. Les contrôles inhibiteurs diffus nociceptifs (CIDN) ont un rôle qui n’est pas des moindres dans le contrôle de la douleur. Des études expérimentales examinant l’effet analgésique de la contre stimulation hétérotopique nociceptive (HNCS), un protocole permettant de tester l’efficacité de ces CIDN, suggèrent que le recrutement des CIDN au sein de cette population était plus faible (i.e. moins d’inhibition) comparé à une population plus jeune. En revanche, les études examinant la sensibilisation centrale induite par sommation temporelle (TS) de la douleur rapportent des résultats mitigés. De plus, une composante importante influençant l’expérience de douleur, les ressources cognitives, dont l’inhibition cognitive, se voient aussi décliner avec l’âge. Premièrement, le recrutement des CIDN a été comparé entre des participants sains, jeunes et des plus âgés avec la HNCS, et le recrutement des mécanismes de sensibilisation centrale avec la TS. La stimulation électrique du nerf sural a été choisie pour permettre de quantifier la douleur, tout en prenant une mesure indicative de la nociception spinale qu’est le réflexe nociceptif spinal (RIII). Nos sujets ont aussi participé à une tâche cognitive (le Stroop), testant l’inhibition cognitive. Deuxièmement, l’efficacité des CIDN ainsi que de l’inhibition cognitive a été testée chez les jeunes et les aînés en imagerie par résonance magnétique (IRM), afin de vérifier la relation entre ces deux mesures psychophysiques et l’épaisseur corticale des régions qui y sont impliquées ainsi que l’effet de l’âge sur celles-ci. Les résultats suggèrent un moindre recrutement des CIDN chez les plus âgés lors de l’expérimentation de la HNCS. Également, les sujets âgés présentaient des capacités d’inhibitions cognitives plus faibles que les jeunes. En plus, une corrélation entre l’inhibition cognitive et la modulation du réflexe RIII par la HNCS a été mise en évidence. Pour l’expérience de TS, les résultats étaient comparables pour les deux groupes, suggérant que les mécanismes impliqués dans la régulation de la douleur ne subiraient pas l’effet de l’âge de la même manière. Pour l’étude de l’épaisseur corticale, on y trouve une diminution globale de l’épaisseur corticale liée à l’âge, mais aussi une corrélation de l’analgésie par la HNCS avec l’inhibition cognitive et également, une relation des deux avec l’épaisseur corticale du cortex orbitofrontal (OFC) latéral gauche, suggérant la possibilité d’une existence d’un réseau neuronal au moins partiellement commun du contrôle inhibiteur descendant sensoriel et cognitif. Ce travail montre que l’effet de l’âge sur les mécanismes centraux de la régulation de la douleur est loin d’être uniforme. Également, il montre une corrélation entre la modulation endogène de la douleur et l’inhibition cognitive, ces deux processus seraient associés à une même région cérébrale. Ces résultats pourraient contribuer à identifier d’autres méthodes thérapeutiques, ouvrant ainsi une nouvelle avenue vers d’autres options dans la prise en charge des douleurs chroniques chez les personnes vieillissantes.

Low backscattered dual-polarised metallo-dielectric structure based on sierpinski carpet

A novel technique for backscattering reduction for both TE and TM polarisation, employing a metallo-dielectric structure based on Sierpinski carpet fractal geometry, is reported. A reduction in backscattered power of --30 dB is obtained for normal incidence in the X-band for the structure using the third iterated stage of the fractal geometry

Performance of hybrid rebars as longitudinal reinforcement in normal strength concrete

A/though steel is most commonly used as a reinforcing material in concrete due to its competitive cost and favorable mechanical properties, the problem of corrosion of steel rebars leads to a reduction in life span of the structure and adds to maintenance costs. Many techniques have been developed in recent past to reduce corrosion (galvanizing, epoxy coating, etc.) but none of the solutions seem to be viable as an adequate solution to the corrosion problem. Apart from the use of fiber reinforced polymer (FRP) rebars, hybrid rebars consisting of both FRP and steel are also being tried to overcome the problem of steel corrosion. This paper evaluates the performance of hybrid rebars as longitudinal reinforcement in normal strength concrete beams. Hybrid rebars used in this study essentially consist of glass fiber reinforced polymer (GFRP) strands of 2 mm diameter wound helically on a mild steel core of 6 mm diameter. GFRP stirrups have been used as shear reinforcement. An attempt has been made to evaluate the flexural and shear performance of beams having hybrid rebars in normal strength concrete with and without polypropylene fibers added to the concrete matrix

Characterization theorem for classical orthogonal polynomials on non-uniform lattices: The functional approach

Using the functional approach, we state and prove a characterization theorem for classical orthogonal polynomials on non-uniform lattices (quadratic lattices of a discrete or a q-discrete variable) including the Askey-Wilson polynomials. This theorem proves the equivalence between seven characterization properties, namely the Pearson equation for the linear functional, the second-order divided-difference equation, the orthogonality of the derivatives, the Rodrigues formula, two types of structure relations,and the Riccati equation for the formal Stieltjes function.