Sur la répartition des unités dans les corps quadratiques réels

Ce mémoire s'emploie à étudier les corps quadratiques réels ainsi qu'un élément particulier de tels corps quadratiques réels : l'unité fondamentale. Pour ce faire, le mémoire commence par présenter le plus clairement possible les connaissances sur différents sujets qui sont essentiels à la compréhension des calculs et des résultats de ma recherche. On introduit d'abord les corps quadratiques ainsi que l'anneau de ses entiers algébriques et on décrit ses unités. On parle ensuite des fractions continues puisqu'elles se retrouvent dans un algorithme de calcul de l'unité fondamentale. On traite ensuite des formes binaires quadratiques et de la formule du nombre de classes de Dirichlet, laquelle fait intervenir l'unité fondamentale en fonction d'autres variables. Une fois cette tâche accomplie, on présente nos calculs et nos résultats. Notre recherche concerne la répartition des unités fondamentales des corps quadratiques réels, la répartition des unités des corps quadratiques réels et les moments du logarithme de l'unité fondamentale. (Le logarithme de l'unité fondamentale est appelé le régulateur.)

In Vitro Ketamine CYP3A Mediated Metabolism Study using Mammalian Liver S9 Fractions, cDNA Expressed Enzymes and Liquid Chromatography Tandem Mass Spectrometry

Ketamine is widely used in medicine in combination with several benzodiazepines including midazolam. The objectives of this study were to develop a novel HPLC-MS/SRM method capable of quantifying ketamine and norketamine using an isotopic dilution strategy in biological matrices and study the formation of norketamine, the principal metabolite of ketamine with and without the presence of midazolam, a well-known CYP3A substrate. The chromatographic separation was achieved using a Thermo Betasil Phenyl 100 x 2 mm column combined with an isocratic mobile phase composed of acetonitrile, methanol, water and formic acid (60:20:20:0.4) at a flow rate of 300 μL/min. The mass spectrometer was operating in selected reaction monitoring mode and the analytical range was set at 0.05–50 μM. The precision (%CV) and accuracy (%NOM) observed were ranging from 3.9–7.8 and 95.9.2–111.1% respectively. The initial rate of formation of norketamine was determined using various ketamine concentration and Km values of 18.4 μM, 13.8 μM and 30.8 μM for rat, dog and human liver S9 fractions were observed respectively. The metabolic stability of ketamine on liver S9 fractions was significantly higher in human (T1/2 = 159.4 min) compared with rat (T1/2 = 12.6 min) and dog (T1/2 = 7.3 min) liver S9 fractions. Moreover significantly lower IC50 and Ki values observed in human compared with rat and dog liver S9 fractions. Experiments with cDNA expressed CYP3A enzymes showed the formation of norketamine is mediated by CYP3A but results suggest an important contribution from others isoenzymes, most likely CYP2C particularly in rat.

Tachykinins Processing is Significantly Impaired in PC1 and PC2 Mutant Mouse Spinal Cord S9 Fractions

Substance P (SP) play a central role in nociceptive transmission and it is an agonist of the Neurokinin-1 receptor located in the lamina I of the spinal cord. SP is a major proteolytic product of the protachykinin-1 primarily synthesized in neurons. Proprotein convertases (PCs) are extensively expressed in the central nervous system (CNS) and specifically cleave at C-terminal of either a pair of basic amino acids, or a single basic residue. The proteolysis control of endogenous protachykinins has a profound impact on pain perception and the role of PCs remain unclear. The objective of this study was to decipher the role of PC1 and PC2 in the proteolysis surrogate protachykinins (i.e. Tachykinin 20-68 and Tachykinin 58-78) using cellular fractions of spinal cords from wild type (WT), PC1-/+ and PC2-/+ animals and mass spectrometry. Full-length Tachykinin 20-68 and Tachykinin 58-78 was incubated for 30 minutes in WT, PC1-/+ and PC2-/+ mouse spinal cord S9 fractions and specific C-terminal peptide fragments were identified and quantified by mass spectrometry. The results clearly demonstrate that both PC1 and PC2 mediate the formation of SP and Tachykinin 58-71, an important SP precursor, with over 50% reduction of the rate of formation in mutant PC 1 and PC2 mouse S9 spinal cord fractions. The results obtained revealed that PC1 and PC2 are involved in the C-terminal processing of protachykinin peptides and suggest a major role in the maturation of the protachykinin-1 protein.

Characterization of Endoproteolytic Processing of Dynorphins by Proprotein Convertases using Mouse Spinal Cord S9 Fractions and Mass Spectrometry

Dynorphins are important neuropeptides with a central role in nociception and pain alleviation. Many mechanisms regulate endogenous dynorphin concentrations, including proteolysis. Proprotein convertases (PCs) are widely expressed in the central nervous system and specifically cleave at C-terminal of either a pair of basic amino acids, or a single basic residue. The proteolysis control of endogenous Big Dynorphin (BDyn) and Dynorphin A (Dyn A) levels has a profound impact on pain perception and the role of PCs remain unclear. The objective of this study was to decipher the role of PC1 and PC2 in the proteolysis control of BDyn and Dyn A levels using cellular fractions of spinal cords from wild type (WT), PC1-/+ and PC2-/+ animals and mass spectrometry. Our results clearly demonstrate that both PC1 and PC2 are involved in the proteolysis regulation of BDyn and Dyn A with a more important role for PC1. C-terminal processing of BDyn generates specific peptide fragments Dynorphin 1-19, Dynorphin 1-13, Dynorphin 1-11 and Dynorphin 1-7 and C-terminal processing of Dyn A generates Dynorphin 1-13, Dynorphin 1-11 and Dynorphin 1-7, all these peptide fragments are associated with PC1 or PC2 processing. Moreover, proteolysis of BDyn leads to the formation of Dyn A and Leu-Enk, two important opioid peptides. The rate of formation of both is significantly reduced in cellular fractions of spinal cord mutant mice. As a consequence, even partial inhibition of PC1 or PC2 may impair the endogenous opioid system.

Influence des fractions hydrophobique et hydrophilique de la matière organique dissoute sur la sorption de Cd, Cu et Pb dans l'horizon B de Podzol

Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal.