Hyperbolic type metrics and distortion of quasiconformal map pings

This Ph.D. thesis consists of four original papers. The papers cover several topics from geometric function theory, more specifically, hyperbolic type metrics, conformal invariants, and the distortion properties of quasiconformal mappings. The first paper deals mostly with the quasihyperbolic metric. The main result gives the optimal bilipschitz constant with respect to the quasihyperbolic metric for the M¨obius self-mappings of the unit ball. A quasiinvariance property, sharp in a local sense, of the quasihyperbolic metric under quasiconformal mappings is also proved. The second paper studies some distortion estimates for the class of quasiconformal self-mappings fixing the boundary values of the unit ball or convex domains. The distortion is measured by the hyperbolic metric or hyperbolic type metrics. The results provide explicit, asymptotically sharp inequalities when the maximal dilatation of quasiconformal mappings tends to 1. These explicit estimates involve special functions which have a crucial role in this study. In the third paper, we investigate the notion of the quasihyperbolic volume and find the growth estimates for the quasihyperbolic volume of balls in a domain in terms of the radius. It turns out that in the case of domains with Ahlfors regular boundaries, the rate of growth depends not merely on the radius but also on the metric structure of the boundary. The topic of the fourth paper is complete elliptic integrals and inequalities. We derive some functional inequalities and elementary estimates for these special functions. As applications, some functional inequalities and the growth of the exterior modulus of a rectangle are studied.

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.

Structure and function of the selectin ligand PSGL-1

P-selectin glycoprotein ligand-1 (PSGL-1) is a dimeric mucin-like 120-kDa glycoprotein on leukocyte surfaces that binds to P- and L-selectin and promotes cell adhesion in the inflammatory response. The extreme amino terminal extracellular domain of PSGL-1 is critical for these interactions, based on site-directed mutagenesis, blocking monoclonal antibodies, and biochemical analyses. The current hypothesis is that for high affinity interactions with P-selectin, PSGL-1 must contain O-glycans with a core-2 branched motif containing the sialyl Lewis x antigen (NeuAca2®3Galß1®4[Fuca1®3]GlcNAcß1®R). In addition, high affinity interactions require the co-expression of tyrosine sulfate on tyrosine residues near the critical O-glycan structure. This review addresses the biochemical evidence for this hypothesis and the evidence that PSGL-1 is an important in vivo ligand for cell adhesion.

Structure and function of the cystic fibrosis transmembrane conductance regulator

Cystic fibrosis (CF) is a lethal autosomal recessive genetic disease caused by mutations in the CF transmembrane conductance regulator (CFTR). Mutations in the CFTR gene may result in a defective processing of its protein and alter the function and regulation of this channel. Mutations are associated with different symptoms, including pancreatic insufficiency, bile duct obstruction, infertility in males, high sweat Cl-, intestinal obstruction, nasal polyp formation, chronic sinusitis, mucus dehydration, and chronic Pseudomonas aeruginosa and Staphylococcus aureus lung infection, responsible for 90% of the mortality of CF patients. The gene responsible for the cellular defect in CF was cloned in 1989 and its protein product CFTR is activated by an increase of intracellular cAMP. The CFTR contains two membrane domains, each with six transmembrane domain segments, two nucleotide-binding domains (NBDs), and a cytoplasmic domain. In this review we discuss the studies that have correlated the role of each CFTR domain in the protein function as a chloride channel and as a regulator of the outwardly rectifying Cl- channels (ORCCs).

Effect of exercise training and carvedilol treatment on cardiac function and structure in mice with sympathetic hyperactivity-induced heart failure

The present investigation was undertaken to study the effect of β-blockers and exercise training on cardiac structure and function, respectively, as well as overall functional capacity in a genetic model of sympathetic hyperactivity-induced heart failure in mice (α2A/α2CArKO). α2A/α2CArKO and their wild-type controls were studied for 2 months, from 3 to 5 months of age. Mice were randomly assigned to control (N = 45), carvedilol-treated (N = 29) or exercise-trained (N = 33) groups. Eight weeks of carvedilol treatment (38 mg/kg per day by gavage) or exercise training (swimming sessions of 60 min, 5 days/week) were performed. Exercise capacity was estimated using a graded treadmill protocol and HR was measured by tail cuff. Fractional shortening was evaluated by echocardiography. Cardiac structure and gastrocnemius capillary density were evaluated by light microscopy. At 3 months of age, no significant difference in fractional shortening or exercise capacity was observed between wild-type and α2A/α2CArKO mice. At 5 months of age, all α2A/α2CArKO mice displayed exercise intolerance and baseline tachycardia associated with reduced fractional shortening and gastrocnemius capillary rarefaction. In addition, α2A/ α2CArKO mice presented cardiac myocyte hypertrophy and ventricular fibrosis. Exercise training and carvedilol similarly improved fractional shortening in α2A/α2CArKO mice. The effect of exercise training was mainly associated with improved exercise tolerance and increased gastrocnemius capillary density while β-blocker therapy reduced cardiac myocyte dimension and ventricular collagen to wild-type control levels. Taken together, these data provide direct evidence for the respective beneficial effects of exercise training and carvedilol in α2A/α2CArKO mice preventing cardiac dysfunction. The different mechanisms associated with beneficial effects of exercise training and carvedilol suggest future studies associating both therapies.

The effect of microgravity on tissue structure and function of rat testis

To explore whether an environment of weightlessness will cause damage to the reproductive system of animals, we used the tail-suspension model to simulate microgravity, and investigated the effect of microgravity on the tissue structure and function of the testis in sexually mature male rats. Forty-eight male Wistar rats weighing 200-250 g were randomly assigned to three groups (N = 16 each): control, tail traction, and tail suspension. After the rats were suspended for 7 or 14 days, morphological changes of testis were evaluated by histological and electron microscopic methods. The expression of HSP70, bax/bcl-2 and AR (androgen receptor) in testis was measured by immunohistochemistry. Obvious pathological lesions were present in the testis after the rats were suspended for 7 or 14 days. We detected overexpression of HSP70 and an increase of apoptotic cells, which may have contributed to the injury to the testis. The expression of AR, as an effector molecule in the testis, was significantly decreased in the suspended groups compared to control (P < 0.01). We also observed that, with a longer time of suspension, the aforementioned pathological damage became more serious and some pathological injury to the testis was irreversible. The results demonstrated that a short- or medium-term microgravity environment could lead to severe irreversible damage to the structure of rat testis.

From protein structure to function with bioinformatics

It has long been known that amino acids are the building blocks for proteins and govern their folding into specific three-dimensional structures. However, the details of this process are still unknown and represent one of the main problems in structural bioinformatics, which is a highly active research area with the focus on the prediction of three-dimensional structure and its relationship to protein function. The protein structure prediction procedure encompasses several different steps from searches and analyses of sequences and structures, through sequence alignment to the creation of the structural model. Careful evaluation and analysis ultimately results in a hypothetical structure, which can be used to study biological phenomena in, for example, research at the molecular level, biotechnology and especially in drug discovery and development. In this thesis, the structures of five proteins were modeled with templatebased methods, which use proteins with known structures (templates) to model related or structurally similar proteins. The resulting models were an important asset for the interpretation and explanation of biological phenomena, such as amino acids and interaction networks that are essential for the function and/or ligand specificity of the studied proteins. The five proteins represent different case studies with their own challenges like varying template availability, which resulted in a different structure prediction process. This thesis presents the techniques and considerations, which should be taken into account in the modeling procedure to overcome limitations and produce a hypothetical and reliable three-dimensional structure. As each project shows, the reliability is highly dependent on the extensive incorporation of experimental data or known literature and, although experimental verification of in silico results is always desirable to increase the reliability, the presented projects show that also the experimental studies can greatly benefit from structural models. With the help of in silico studies, the experiments can be targeted and precisely designed, thereby saving both money and time. As the programs used in structural bioinformatics are constantly improved and the range of templates increases through structural genomics efforts, the mutual benefits between in silico and experimental studies become even more prominent. Hence, reliable models for protein three-dimensional structures achieved through careful planning and thoughtful executions are, and will continue to be, valuable and indispensable sources for structural information to be combined with functional data.

The role of water in determining structure and function of macromolecules and macromolecular assemblies /

The interaction of biological molecules with water is an important determinant of structural properties both in molecular assemblies, and in conformation of individual macromolecules. By observing the effects of manipulating the activity of water (which can be accomplished by limiting its concentration or by adding additional solutes, "osmotic stress"), one can learn something about intrinsic physical properties of biological molecules as well as measure an energetic contribution of closely associated water molecules to overall equilibria in biological reactions. Here two such studies are reported. The first of these examines several species of lysolipid which, while present in relatively low concentrations in biomembranes, have been shown to affect many cellular processes involving membrane-protein or membrane-membrane interactions. Monolayer elastic constants were determined by combining X-ray diffraction and the osmotic stress technique. Spontaneous radii of curvature of lysophosphatidylcholines were determined to be positive and in the range +30A to +70A, while lysophosphatidylethanolamines proved to be essentially flat. Neither lysolipid significantly affected the bending modulus of the monolayer in which it was incorporated. The second study examines the role of water in theprocess of polymerization of actin into filaments. Water activity was manipulated by adding osmolytes and the effect on the equilibrium dissociation constant (measured as the criticalmonomer concentration) was determined. As water activity was decreased, the critical concentration was reduced for Ca-actin but not for Mg-actin, suggesting that 10-12 fewer water molecules are associated with Ca-actin in the polymerized state. Thisunexpectedly small amount of water is discussed in the context of the common structural motif of a nucleotide binding cleft.

The structure of arabidopsis NPR1 : its function as a salicylic acid receptor and a metal-binding protein

The Arabidopsis NPRI protein regulates systemic acquired resistance dependent on salicylic acid. Analyses by plant two-hybrid analysis in vivo and pull-down assays in vitro showed that the BTB/POZ domain of NPRI at the N-terminus serves as an autoinhibitory domain to negate the function of the transactivation domain at the C-terminus through direct binding of these two domains. I t was also shown that the binding of the BTB/POZ domain to the C-terminus of NPRI was abolished by SA treatment, suggesting that SA could interfere directly with this binding. By gel filtration, it was demonstrated that SA affects the conformation of full-length NPRl , confirming the role of NPRI as an SA receptor. Gel filtration analysis also indicated that NPRI could be converted from an oligomer to a dimer with SA treatment. Furthermore, one N-terminal deletion ~513 has been shown to act as a metal-binding protein and its two Cys-521 and Cys-529 are important for binding to Ni 2 + by pull-down assays.

Étude du rôle de la MAP Kinase non-conventionnelle ERK3 dans le développement thymique et l'activation des lymphocytes T

Les voies de signalisation des MAP kinases (MAPK) conventionnelles jouent des rôles essentiels pendant le développement des lymphocytes T (LT) ainsi que lors de leur activation suite à la reconnaissance antigénique. En raison de ses différences structurelles ainsi que de son mode de régulation, ERK3 fait partie des MAPK dites non-conventionnelles. Encore aujourd’hui, les événements menant à l’activation de ERK3, ses substrats ou partenaires ainsi que sa fonction physiologique demeurent peu caractérisés. Nous avons entrepris dans cette thèse d’étudier le rôle de ERK3 lors du développement et de l’activation des LT en utilisant un modèle de souris déficient pour l’expression de ERK3. Nous avons premièrement établi que ERK3 est exprimée chez les thymocytes. Ensuite, nous avons évalué le développement thymique chez la souris ERK3-déficiente et nous avons observé une diminution significative de la cellularité aux étapes DN1, DP et SP CD4+ du développement des LT. La création de chimères hématopoïétiques ERK3-déficientes nous a permis de démontrer que la diminution du nombre de cellules observée aux étapes DN1 et DP est autonome aux thymocytes alors que le phénotype observé à l’étape SP CD4+ est dépendant de l’abolition simultanée de ERK3 dans l’épithélium thymique et dans les thymocytes. Une étude plus approfondie de l’étape DP nous a permis de démontrer qu’en absence de ERK3, les cellules DP meurent plus abondamment et accumulent des cassures doubles brins (DSB) dans leur ADN. De plus, nous avons démontré que ces cassures dans l’ADN sont réalisées par les enzymes RAG et qu’en absence de ces dernières, la cellularité thymique est presque rétablie chez la souris ERK3-déficiente. Ces résultats suggèrent que ERK3 est impliquée dans un mécanisme essentiel à la régulation des DSB pendant le réarrangement V(D)J de la chaîne  du récepteur des cellules T (RCT). Dans le deuxième article présenté dans cette thèse, nous avons montré que ERK3 est exprimé chez les LT périphériques, mais seulement suite à leur activation via le RCT. Une fois activés in vitro les LT ERK3-déficients présentent une diminution marquée de leur prolifération et dans la production de cytokines. De plus, les LT ERK3-déficients survivent de façon équivalente aux LT normaux, mais étonnamment, ils expriment des niveaux plus faibles de la molécule anti-apoptotique Bcl-2. Ces résultats suggèrent que la prolifération réduite des LT ERK3-déficients est la conséquence d’une altération majeure de leur activation. Ainsi, nos résultats établissent que ERK3 est une MAPK qui joue des rôles essentiels et uniques dans le développement thymique et dans l’activation des lymphocytes T périphériques. Grâce à ces travaux, nous attribuons pour la toute première fois une fonction in vivo pour ERK3 au cours de deux différentes étapes de la vie d’un LT.

The effects of oxidative stress on the retinal structure and function

Des études antérieures ont démontré que le métabolisme de la rétine, son apport sanguin et sa consommation de l'oxygène sont plus élevés dans le noir (Riva C.E. et al. 1983, Wang L. et al. 1996, Tam B.M. and Moritz O.L. 2007). Les stimuli physiologiques jouent supposément un rôle important dans le développement des différents systèmes nerveux (Arthur W. Spira, David Parkinson 1991). La privation de la rétine de son stimulus physiologique, la lumière, est un moyen valable de démontrer la validité de ce concept. D'autres études ont affirmé que les injections de dichlorure de paraquat dans la cavité vitréenne causent une sévère rétinopathie (Rétinopathie induite par paraquat: RIP). Cette rétinopathie est provoquée par les dérivés réactifs de l'oxygène (DRO) générés par le paraquat (Cingolani C. et al. 2006, Lu L. et al. 2006). Le but de notre premier projet (''Dark rearing project'') était de déterminer si les conséquences nocives de l'hyperoxie postnatale chez les rats albinos SD pourraient être amoindries en élevant une portée de rats au noir. Nos résultats suggèrent qu'une augmentation du métabolisme de la rétine causée par la déprivation de lumière chez les ratons, pourrait protéger ou masquer certains effets néfastes de l'hyperoxie postnatale. Le but de notre deuxième étude (''Paraquat project'') était d'examiner les possibles points de similitude entre RIP et d'autres modèles de rétinopathies oxydatives étudiés présentement par notre équipe, à savoir: Rétinopathie induite par l'oxygène (RIO) et Rétinopathie induite par la lumière (RIL). Nos résultats suggèrent que l'injection de dichlorure de paraquat dans la cavité vitréenne cause des changements sévères de la fonction de la rétine, tandis que sa structure semble intacte. La sévérité de ces changements dépend inversement de la maturité de la rétine au moment de l'injection.

The study of RNA tertiary interactions in tRNA structure and function

Le rôle des deux paires de bases universelles inverse Hoogsteen U : A ( RHUAs ) présentent chez les ARNt standards , une dans la boucle T et l'autre dans le noyau de la forme en L , a été étudiée. Pour chacun des RHUAs , un criblage génétique spécialisé in vivo chez les bactéries , le système suppresseur ambre ( pour l'étude de la RHUA dans la boucle T ) et le système d'ARNt de la sélénocystéine ( tRNASec ) ( pour l'étude de la RHUA dans le noyau ) , ont été utilisé pour générer des variants fonctionnels à partir de multiples librairies combinatoires . Ces variants ont ensuite été séquencé et soumis à une analyse systématique qui comprend la modélisation informatique et un type d'analyse phylogénétique. Les résultats du système suppresseur ambre ont montré un ensemble de variants fonctionnels qui ne nécessitent pas le motif RHUA dans la boucle T et qui ont remplacé la méthode standard de l'interaction entre les boucles D et T avec une double hélice interboucle , ILDH . D'autres études ont abouti à la détermination d'un modèle In silico de l'alternative à la norme standard de la boucle T, sous le nom de type III . Les résultats du système tRNASec ont révélé que pour cette ARNt exceptionnel, l'absence de RHUA ( dans le noyau ) assure une flexibilité accrue qui est spécifiquement nécessaire pour la fonction de tRNASec . Ainsi, les ARNt standards , à la différence de tRNASec , avec la présence universelle de RHUA dans le noyau , a été naturellement sélectionnée pour être rigide . Pris ensemble, la RHUA joue un rôle essentiel dans la stabilisation des interactions tertiaires.

Bifurcation structure and Lyapunov exponents of a modulated logistic map

We have studied the bifurcation structure of the logistic map with a time dependant control parameter. By introducing a specific nonlinear variation for the parameter, we show that the bifurcation structure is modified qualitatively as well as quantitatively from the first bifurcation onwards. We have also computed the two Lyapunov exponents of the system and find that the modulated logistic map is less chaotic compared to the logistic map.

Germin and germin-like proteins: evolution, structure, and function

Germin and germin-like proteins (GLPs) are encoded by a family of genes found in all plants. They are part of the cupin superfamily of biochemically diverse proteins, a superfamily that has a conserved tertiary structure, though with limited similarity in primary sequence. The subgroups of GLPs have different enzyme functions that include the two hydrogen peroxide-generating enzymes, oxalate oxidase (OxO) and superoxide dismutase. This review summarizes the sequence and structural details of GLPs and also discusses their evolutionary progression, particularly their amplification in gene number during the evolution of the land plants. In terms of function, the GLPs are known to be differentially expressed during specific periods of plant growth and development, a pattern of evolutionary subfunctionalization. They are also implicated in the response of plants to biotic (viruses, bacteria, mycorrhizae, fungi, insects, nematodes, and parasitic plants) and abiotic (salt, heat/cold, drought, nutrient, and metal) stress. Most detailed data come from studies of fungal pathogenesis in cereals. This involvement with the protection of plants from environmental stress of various types has led to numerous plant breeding studies that have found links between GLPs and QTLs for disease and stress resistance. In addition the OxO enzyme has considerable commercial significance, based principally on its use in the medical diagnosis of oxalate concentration in plasma and urine. Finally, this review provides information on the nutritional importance of these proteins in the human diet, as several members are known to be allergenic, a feature related to their thermal stability and evolutionary connection to the seed storage proteins, also members of the cupin superfamily.