Le travail de cette thèse a consisté à concevoir, réaliser et optimiser un montage expérimental de Polarisation Dynamique Nucléaire multi-échantillons pour des applications biomédicales en Imagerie Spectroscopique par Résonance Magnétique. Ce montage est constitué d'un aimant à fort champ magnétique (3,35T), dans lequel se place un système cryogénique à bain d'hélium (He4) liquide pompé pouvant atteindre des températures inférieures à 1,2K. Un ensemble d'inserts permet d'effectuer les différentes étapes du processus PDN dont l'irradiation des échantillons par un champ micro-onde (f=94GHz et P=50mW) et le suivi de leur polarisation par Résonance Magnétique Nucléaire. Ce système permet de polariser jusqu'à trois échantillons, de volume proche de 1mL, à des taux de polarisation de quelques pourcents. Il présente une forte autonomie supérieure à quatre heures, autorisant ainsi la polarisation de molécules à longues constantes de temps de polarisation. La possibilité de disposer quasi-simultanément, après dissolution, de plusieurs échantillons fortement polarisés ouvre la voie à de nouvelles applications dans le domaine de l'imagerie biomédicale / The aim of this thesis work was to design, build and optimize a large volume multisamples DNP (Dynamic Nuclear Polarization) polarizer dedicated to Magnetic Resonance Spectroscopic Imaging applications. The experimental system is made up of a high magnetic field magnet (3,35T) in which takes place a cryogenic system with a pumped bath of liquid helium (4He) allowing temperatures lower than 1,2K. A set of inserts is used for the different steps of DNP : irradiation of the sample by a microwave field (f=94GHz and P=50mW), polarization measurement by Nuclear Magnetic Resonance. . . With this system, up to three samples of 1mL volume can be polarized to a rate of few percents. The system has a long autonomy of four hours, so it can be used for polarizing molecules with a long time constant of polarization. Finally, the possibility to get quasisimultaneously, after dissolution, several samples with a high rate of polarization opens the way of new applications in biomedical imaging

L’objectif de cette thèse est d’appliquer la théorie du contrôle optimal à la dynamique de systèmes quantiques. Le premier point consiste à introduire dans le domaine du contrôle quantique des outils de contrôle optimal initialement développés en mathématique. Cette approche a ensuite été appliquée sur différent types de systèmes quantiques décrit par une grande ou une petite dimension. La première partie du manuscrit introduit les différents outils de contrôles utilisés avec une approche adaptée à un public de physiciens. Dans la seconde partie, ces techniques sont utilisées pour contrôler la dynamique des spins en RMN et IRM. La troisième partie s’intéresse au développement de nouveaux algorithmes itératifs de contrôle optimal appliqués au contrôle par champ laser de la dynamique rotationnelle des molécules linéaires en phases gazeuse ainsi qu’au développement d’une stratégie de contrôle simple permettant de délocaliser une molécule dans un plan. La quatrième partie traite le contrôle en temps minimum d’un condensat de Bose-Einstein à deux composantes. La dernière partie permet de comparer qualitativement et quantitativement les différentes méthodes de contrôle optimal utilisées. Les seconde et troisième parties ont également bénéficier de l’implémentation expérimentale des solutions de contrôle optimal obtenues. / The goal of this thesis is to apply the optimal control theory to the dynamics of quantum systems.The first part aim at introducing the tools of optimal control in quantum control which were initially developedin mathematics. This approch has been applied on different kinds of quantum system with small and largedimensions. The first part of this manuscript introduces the optimal control tools which are used with a pointof view suited to a public of physicists. In the second part these techniques are used to control the dynamics ofspins in NMR and MRI. The third part deals with the development of new iterative algorithms applied to thecontrol by laser fields of the rotational dynamics of linear molecules in a gaz phases and the development of asimple control strategy allowing to delocalize a molecule in a plan. The fourth part treats the time-minimumcontrol of a two-component Bose Einstein condensate. The last part compares the different optimal controlmethods used qualitatively and quantitatively. The solution found in the second and third parts have been alsoapplied experimentally.

Alors que 30% du génome code pour des protéines membranaires, moins de 3% des structures protéiques dans la Protein Data Bank correspondent à ces protéines. En raison de leur nature hydrophobe, les protéines membranaires sont en effet très difficiles à produire dans des systèmes d'expression classique en cellules, notamment en bactéries. L'étude structurale des protéines membranaires du virus de l'hépatite C (VHC) sous forme entière et native a donc été pendant longtemps entravée. Le VHC est un virus à ARN positif dont le complexe de réplication est basé sur un réarrangement spécifique des membranes induit par l'action concertée de plusieurs protéines non structurales du virus dont NS2, NS4B et NS5A. La structure tridimensionnelle et le rôle de ces protéines dans la réplication virale sont encore mal connus. Pour surmonter les limitations qui empêchent leurs études structurales et fonctionnelles, un système d'expression acellulaire à base d'extrait de germe de blé a été développé avec succès, permettant la production des protéines NS2, NS4B et NS5A entières directement sous une forme solubilisée en présence de détergent. Ces protéines membranaires sont produites et purifiées par chromatographie d'affinité dans des quantités de l'ordre du milligramme. Des analyses par filtration sur gel indiquent que les échantillons obtenus sont homogènes. De plus, des analyses structurales par dichroïsme circulaire montrent que les protéines produites dans ce système sont bien repliées. Leur reconstitution dans des lipides est en cours d'optimisation. Le but ultime est en effet de déterminer leur structure par RMN du solide dans un environnement lipidique mimant l'environnement natif / While 30% of the genome encodes for membrane proteins, less than 3% of protein structures in the Protein Data Bank correspond to such proteins. Due to their hydrophobic nature, membrane proteins are indeed notoriously difficult to express in classical cell-based protein expression systems. The structural study of the membrane proteins of hepatitis C virus (HCV) in their full-length and native form has therefore been for long time hampered. HCV is a positive-strand RNA virus building its replication complex on a specific membrane rearrangement (membranous web), which serves as a scaffold for the HCV replicase, and is induced by the concerted action of several HCV non-structural proteins including NS2, NS4B and NSSA. The knowledge of the three- dimensional structure of these proteins and their role in virus replication is still limited. To overcome the limitations that prevent the structural and functional studies of these proteins, a wheat germ cell-free protein expression system has been developed. A production protocol was designed which allows us to directly obtain membrane proteins in a soluble form by adding detergent during the in vitro protein synthesis. A large number of mainly viral proteins were successfully expressed, and full protocols were developed for the full-length NS2, NS4B and NSSA proteins. These membrane proteins were produced and purified by affinity chromatography using a Strep-tag II in the milligram range. These protein samples are homogenous, as shown by gel filtration analysis. Moreover, structural analyses by circular dichroism showed that the proteins produced in the wheat germ cell-free system are well folded. Reconstitution of these proteins in lipids is currently under optimization. The ultimate goal is to determine their structure by solid-state NMR in a native-like membrane lipids environment

L'imagerie par résonance magnétique (IRM) est une modalité qui offre de bons contrastes et une bonne résolution spatiale, mais qui souffre d'un important problème de sensibilité. Pour répondre à cette problématique, le paradigme actuel est d'accroitre le champ magnétique des aimants d'IRM. Ceci mène toutefois à une explosion des coûts et à des contraintes accrues vis-à-vis des patients. L'approche que nous présentons est radicalement différente~: il s'agit de travailler à champ faible. Les antennes classiques n'étant pas assez sensibles pour recueillir le signal, l'idée est d'utiliser des SQIF. Ces derniers sont une nouvelle technologie d'antennes supraconductrices ultra-sensibles basées sur les réseaux de SQUID. Le projet vise à optimiser les capteurs SQIF et à les adapter pour la première fois à la RMN afin de mesurer un signal sur un aimant à 0.2~T.Pour ce faire, nous avons développé et étudié les performances de nouvelles architectures d'antennes SQIF afin de définir la géométrie la plus adaptée à la RMN. Nous avons également cherché à mieux comprendre comment le contexte d'utilisation de ces nouvelles antennes pouvait influencer leurs performances. Le jeu d'antennes le plus performant réalisé avait un facteur de transfert de 8.4~kVperT et un seuil de détection de 190~fTperHz. Il fut également observé que la présence d'un champ magnétique pendant le refroidissement de ces capteurs supraconducteurs dégradait leur réponse, phénomène à prendre en compte en RMN.Un Démonstrateur Super-QIF intégrant un SQIF dans l'IRM à 0.2~T fut conçu en tenant compte des contraintes géométriques et de l'environnement magnétique. Après sa fabrication, la température du cryostat était de 50~K, donc suffisante pour le bon fonctionnement des SQIF. Les premiers tests ont montrés que la présence du système ne perturbait pas le signal de RMN.Le démonstrateur est toujours en cours de développement et devrait permettre de mesurer un de RMN dans les mois à venir. À long terme, ces travaux pavent la voie à des applications des SQIF en IRM à champ terrestre. / Magnetic resonance imaging (MRI) is a modality that offers good contrasts and good spatial resolution, but suffers from a significant sensitivity problem. To address this issue, the current paradigm is to increase the magnetic field of MRI magnets. However, this leads to an explosion of costs and to increased constraints on patients. The approach we present is radically different: it involves working in a weak field. As conventional antennas are not sensitive enough to collect the signal, the idea is to use SQIF. These are a new ultra sensitive superconducting antenna technology based on SQUID networks. The project aims to optimize SQIF technology and adapt it to measure an NMR signal in a 0.2~T magnet.To do this, we developed and studied the performance of new SQIF antenna architectures in order to define the geometry most suitable for NMR. We also sought to better understand how the context of use of these new antennas could influence their performance. The best performing antennas set had a transfer factor of 8.4~kVperT and a detection threshold of 190~fTperHz. It was also observed that the presence of a magnetic field during the cooling of these superconducting sensors degraded their response, a phenomenon to be accounted for in NMR.The Super-QIF Demonstrator incorporating a SQIF in the 0.2~T MRI was designed considering the geometric constraints and the magnetic environment. After its assembly, the temperature of the cryostat was 50~K, therefore sufficient for the proper operation of SQIF. The first tests showed that the system presence did not disturb the NMR signal.The demonstrator is still under development and is expected to measure an NMR signal in the forthcoming months. In the long term, this work paves the way for applications of SQIF in Earth's field MRI.

The aim of the thesis is to define the dependency of the classification of patients affected by neurodegenerative diseases on the choice of the parcellation atlas. Part of this thesis is the application of the functional connectivity analysis and the calculation of graph metrics according to the method published by Olaf Sporns and Mikail Rubinov [1] on fMRI data measured at CEITEC MU. The application is preceded by the theoretical research of parcellation atlases for brain segmentation from fMRI frames and the research of mathematical methods for classification as well as classifiers of neurodegenerative diseases. The first chapters of the thesis brings a theoretical basis of knowledge from the field of magnetic and functional magnetic resonance imaging. The physical principles of the method, the conditions and the course of acquisition of image data are defined. The third chapter summarizes the graph metrics used in the diploma thesis for analyzing and classifying graphs. The paper presents a brief overview of the brain segmentation methods, with the focuse on the atlas-based segmentation. After a theoretical research of functional connectivity methods and mathematical classification methods, the findings were used for segmentation, calculation of graph metrics and for classification of fMRI images obtained from 96 subjects into the one of two classes using Binary classifications by support vector machines and linear discriminatory analysis. The data classified in this study was measured on patiens with Parkinson’s disease (PD), Alzheimer’s disease (AD), Mild cognitive impairment (MCI), a combination of PD and MCI and subjects belonging to the control group of healthy individuals. For pre-processing and analysis, the MATLAB environment, the SPM12 toolbox and The Brain Connectivity Toolbox were used.

A study was undertaken of plants used for treatment of diabetic symptoms by traditional healers of the Eeyou Istchee Cree (Canada), Lukomir Highlanders (Bosnia & Herzegovina), and Q’eqchi’ Maya (Belize). All antidiabetic plants were ranked by syndromic importance value (SIV) based on 15 symptoms, all of which were recognized by the Cree and Maya and 8 by the Highlanders. The Cree used only 18 species, the Highlanders 41, and the Maya 150, numbers which reflect the diversity of flora in their region. Vaccinium (Ericaceae) was one of the few genera in all three regions and the only consensus genus between the Cree and Highlander study sites. The Q’eqchi’ Maya ethnobotany did not present any cross-cultural consensus genera with Cree or Highlander medicinal plants, perhaps due to major biogeographic differences. In ethnopharmacological studies, Vaccinium species and Q’eqchi’ antidiabetic plants were tested in an assay relevant to diabetes, the advanced glycation endproduct (AGE) inhibition assay. Boreal and tropical Vaccinium species were potent inhibitors of AGEs and demonstrated concentration dependent inhibition, with a half maximal inhibitory concentration (IC50) range of 5.93–100 µg/mL. Phenolic content ranged from 80.3 to 201 µg/mL in boreal samples and from 1470 to 2170 µg/mL in tropical samples. Tropical species have a greater phenolic content and AGE inhibition. Seven Q’eqchi’ antidiabetic plant species were tested and all plant extracts showed AGE-inhibition. The IC50s ranged from 40.8 to 733 µg/mL, and the most active was Tynanthus guatemalensis Donn.. Tynanthus guatemalensis IC50 was about fives times greater (less active) than the mean ± SE IC50 reported for six tropical Vaccinium species of Vaccinium (8.77 ± 0.79 μg/mL). The highest consensus and most active Maya antidiabetic plant, Tynanthus guatemalensis Donn. Sm. was discovered to be an important plant recorded in archeological artifacts from the Late Classic Maya period (~750 CE). Ancient Maya used a cross shaped sign (k’an glyph) as a decorative element on Late Classic polychrome vessels and murals. The sign was believed to be the xylem template for a plant used as a flavouring in cacao drinks. However, the plant was incorrectly identified in the literature as Pimenta dioica (L.) Merr. (common name: Allspice) based on a common name and aromatic plant quality – not from a botanical voucher specimen. Pimenta dioica wood does not have a cross shape visible in the xylem but a unique character visible after a cross section of T. guatemalensis, is the xylem's cross shape organization. Wood of T. guatemalensis' also has an "allspice" aroma. Tynanthus guatemalensis is most likely the true botanical template behind the ancient Maya k’an glyph and this finding would show the continuity of use of this medicinal plant from ancient to modern times. Vaccinium was selected for an in depth phytochemical analysis using modern metabolomic methods. Nuclear magnetic resonance (1H NMR) was used to evaluate leaf extract spectra to provide information on (1) the taxonomic identity and (2) quantities of bioactive metabolites across multiple sites. Spectra clearly differentiated leaf samples of V. angustifolium, V. boreale, V. corymbosum, V. macrocarpon, V. myrtilloides, V. myrtillus, V. ovalifolium, and V. uliginosum according to generic, subgeneric, specific, phenotypic circumscriptions. Quantification of chlorogenic acid and hyperoside were replicated with a method that is highly reproducible across multiple sites with different NMR equipment. This methodology provides an important new approach to taxonomy and quality control for plants and natural health products.

A study was undertaken of plants used for treatment of diabetic symptoms by traditional healers of the Eeyou Istchee Cree (Canada), Lukomir Highlanders (Bosnia & Herzegovina), and Q’eqchi’ Maya (Belize). All antidiabetic plants were ranked by syndromic importance value (SIV) based on 15 symptoms, all of which were recognized by the Cree and Maya and 8 by the Highlanders. The Cree used only 18 species, the Highlanders 41, and the Maya 150, numbers which reflect the diversity of flora in their region. Vaccinium (Ericaceae) was one of the few genera in all three regions and the only consensus genus between the Cree and Highlander study sites. The Q’eqchi’ Maya ethnobotany did not present any cross-cultural consensus genera with Cree or Highlander medicinal plants, perhaps due to major biogeographic differences. In ethnopharmacological studies, Vaccinium species and Q’eqchi’ antidiabetic plants were tested in an assay relevant to diabetes, the advanced glycation endproduct (AGE) inhibition assay. Boreal and tropical Vaccinium species were potent inhibitors of AGEs and demonstrated concentration dependent inhibition, with a half maximal inhibitory concentration (IC50) range of 5.93–100 µg/mL. Phenolic content ranged from 80.3 to 201 µg/mL in boreal samples and from 1470 to 2170 µg/mL in tropical samples. Tropical species have a greater phenolic content and AGE inhibition. Seven Q’eqchi’ antidiabetic plant species were tested and all plant extracts showed AGE-inhibition. The IC50s ranged from 40.8 to 733 µg/mL, and the most active was Tynanthus guatemalensis Donn.. Tynanthus guatemalensis IC50 was about fives times greater (less active) than the mean ± SE IC50 reported for six tropical Vaccinium species of Vaccinium (8.77 ± 0.79 μg/mL). The highest consensus and most active Maya antidiabetic plant, Tynanthus guatemalensis Donn. Sm. was discovered to be an important plant recorded in archeological artifacts from the Late Classic Maya period (~750 CE). Ancient Maya used a cross shaped sign (k’an glyph) as a decorative element on Late Classic polychrome vessels and murals. The sign was believed to be the xylem template for a plant used as a flavouring in cacao drinks. However, the plant was incorrectly identified in the literature as Pimenta dioica (L.) Merr. (common name: Allspice) based on a common name and aromatic plant quality – not from a botanical voucher specimen. Pimenta dioica wood does not have a cross shape visible in the xylem but a unique character visible after a cross section of T. guatemalensis, is the xylem's cross shape organization. Wood of T. guatemalensis' also has an "allspice" aroma. Tynanthus guatemalensis is most likely the true botanical template behind the ancient Maya k’an glyph and this finding would show the continuity of use of this medicinal plant from ancient to modern times. Vaccinium was selected for an in depth phytochemical analysis using modern metabolomic methods. Nuclear magnetic resonance (1H NMR) was used to evaluate leaf extract spectra to provide information on (1) the taxonomic identity and (2) quantities of bioactive metabolites across multiple sites. Spectra clearly differentiated leaf samples of V. angustifolium, V. boreale, V. corymbosum, V. macrocarpon, V. myrtilloides, V. myrtillus, V. ovalifolium, and V. uliginosum according to generic, subgeneric, specific, phenotypic circumscriptions. Quantification of chlorogenic acid and hyperoside were replicated with a method that is highly reproducible across multiple sites with different NMR equipment. This methodology provides an important new approach to taxonomy and quality control for plants and natural health products.