Étude du mécanisme de transport des cations par la Na, K-ATPase et de son implication dans la migraine familiale hémiplégique de type 2

Résumé La Na,K-ATPase est une protéine transmembranaire, présente dans toutes les cellules de mammifères et indispensable à la viabilité cellulaire. Elle permet le maintien des gradients sodiques et potassiques à l'origine du potentiel membranaire en transportant 3 Na+ en dehors de la cellule contre 2 K+, grâce à l'énergie fournie par l'hydrolyse d'une molécule d'ATP. Le potentiel membranaire est indispensable au maintien de l'excitabilité cellulaire et à la transmission de l'influx nerveux. Il semblerait que la Na,K-ATPase soit liée à l'hypertension et à certains troubles neurologiques comme la Migraine Familiale Hémiplégique (1VIFH). La MFH est une forme de migraine avec aura, qui se caractérise par une hémiparésie. Cette forme de migraine est très rare. Elle se transmet génétiquement sur un mode autosomique dominant. Plusieurs mutations localisées dans le gène de la Na,K-ATPase ont été identifiées durant ces 3 dernières années. C'est la première fois qu'une maladie génétique est associée au gène de la Na,K-ATPase. La compréhension du fonctionnement de cette protéine peut donner des informations sur les mécanismes conduisant à ces pathologies. On sait que la fonction d'une protéine est liée à sa structure. L'étude de sa fonction nécessite donc l'étude de sa structure. Alors que la structure de la SERCA a été déterminée à haute résolution, par cristallographie, celle de la Na,K-ATPase ne l'est toujours pas. Mais ces 2 ATPases présentent une telle homologie qu'un modèle de la Na,K-ATPase a pu être élaboré à partir de la structure de la SERCA. Les objectifs de cette étude sont d'une part, de comprendre le contrôle de l'accessibilité du K+ extracellulaire àses sites de liaison. Pour cela, nous avons ciblé cette étude sur la 2ìème et la 31eme boucle extracellulaire, qui relient respectivement les segments transmembranaires (STM) 3-4 et 5-6. Le choix s'est porté sur ces 2 boucles car elles bordent le canal des cations formés des 4ième' Sième et 6'ème hélices. D'autre part, nous avons également essayer de comprendre les effets des mutations, liées à la Migraine Familiale Hémiplégique de type 2 (MFH2), sur la fonctionnalité de la Na,K-ATPase. Alors que les STM et les domaines cytoplasmiques sont relativement proches entre la Na,KATPase et la SERCA, les boucles extracellulaires présentent des différences. Le modèle n'est donc pas une approche fiable pour déterminer la structure et la fonction des régions extracellulaires. Nous avons alors utilisé une approche fonctionnelle faisant appel à la mutation dirigée puis à l'étude de l'activité fonctionnelle de la Na,K ATPase par électrophysiologie sur des ovocytes de Xenopus. En conclusion, nous pouvons dire que la troisième boucle extracellulaire participerait à la structure de la voie d'entrée des cations et que la deuxième boucle extracellulaire semble impliquée dans le contrôle de l'accessibilité des ions K+àses sites de liaison. Concernant les mutations associées à la MFH2, nos résultats ont montré une forte diminution de l'activité fonctionnelle de la pompe Na,K, inférieure aux conditions physiologiques de fonctionnement, et pour une des mutations nous avons observés une diminution de l'affmité apparente au K+ externe. Nous poumons faire l'hypothèse que l'origine pathologique de la migraine est liée à une diminution de l'activité de la pompe à Na+. Summary The Na,K-ATPase is a transmembrane protein, present in all mammalian cells and is necessary for the viability of the cells. It maintains the gradients of Na+ and K+ involved in the membrane potential, by transporting 3Na+ out the cell, and 2K+ into the cell, using the energy providing from one ATP molecule hydrolysis. The membrane potential is necessary for the cell excitability and for the transmission of the nervous signal. Some evidence show that Na,K-ATPase is involved in hypertension and neurological disorders like the Familial Hemiplegic Migraine (FHM). La FHM is a rare form of migraine characterised by aura and hemiparesis and an autosomal dominant transmission. Several mutations linked to the Na,KATPase gene have been identified during these 3 last years. It's the first genetic disorder associated with the Na,K-ATPase gene. Understand the function of this protein is important to elucidate the mechanisms implicated in these pathologies. The function of a protein is linked with its structure. Thus, to know the function of a protein, we need to know its structure. While the Ca-ATPase (SERCA) has been crystallised with a high resolution, the structure of the Na,K-ATPase is not known. Because of the great homology between these 2 ATPases, a model of the Na,K-ATPase was realised by comparing with the structure of the SERCA. The aim of this study is on one side, understand the control of the extracellular K+ accessibility to their binding sites. Because of theirs closed proximity with the cation pathway, located between the 4th, 5th and 6th helices, we have targeted this study on the 2nd and the 3rd extracellular loops linking respectively the transmembrane segment (TMS) 3 and 4, and the TMS 5 and 6. And on the other side, we have tried to understand the functional effects of mutations linked with the Familial Hemiplegic Migraine Type 2 (FHM2). In contrast with the transmembrane segments and the cytoplasmic domains, the extracellular loops show lots of difference between Na,K-ATPase and SERCA, the model is not a good approach to know the structure and the function of the extracellular loops. Thus, we have used a functional approach consisting in directed mutagenesis and the study of the functional activity of the Na,K-ATPase by electrophysiological techniques with Xenopus oocytes. In conclusion, we have demonstrated that the third extracellular loop could participate in the structure of the entry of the cations pathway and that the second extracellular loop could control the K+ accessibility to their binding sites. Concerning the mutations associated with the FHM2, our results showed a strong decrease in the functional activity of the Na,K-pump under physiological conditions and for one of mutations, induce a decrease in the apparent external K+ affinity. We could make the hypothesis that the pathogenesis of migraine is related to the decrease in Na,K-pump activity. Résumé au large publique De la même manière que l'assemblage des mots forme des phrases et que l'assemblage des phrases forme des histoires, l'assemblage des cellules forme des organes et l'ensemble des organes constitue les êtres vivants. La fonction d'une cellule dans le corps humain peut se rapprocher de celle d'une usine hydroélectrique. La matière première apportée est l'eau, l'usine électrique va ensuite convertir l'eau en énergie hydraulique pour fournir de l'électricité. Le fonctionnement de base d'une cellule suit le même processus. La cellule a besoin de matières premières (oxygène, nutriments, eau...) pour produire une énergie sous forme chimique, l'ATP. Cette énergie est utilisée par exemple pour contracter les muscles et permet donc à l'individu de se déplacer. Morphologiquement la cellule est une sorte de petit sac rempli de liquide (milieu intracellulaire) baignant elle-même dans le liquide (milieu extracellulaire) composant le corps humain (un adulte est constitué environ de 65 % d'eau). La composition du milieu intracellulaire est différente de celle du milieu extracellulaire. Cette différence doit être maintenue pour que l'organisme fonctionne correctement. Une des différences majeures est la quantité de sodium. En effet il y a beaucoup plus de sodium à l'extérieur qu'à l'intérieur de la cellule. Bien que l'intérieur de la cellule soit isolé de l'extérieur par une membrane, le sodium arrive à passer à travers cette membrane, ce qui a tendance à augmenter la quantité de sodium dans la cellule et donc à diminuer sa différence de concentration entre le milieu extracellulaire et le milieu intracellulaire. Mais dans les membranes, il existe des pompes qui tournent et dont le rôle est de rejeter le sodium de la cellule. Ces pompes sont des protéines connues sous le nom de pompe à sodium ou Na,K-ATPase. On lui attribue le nom de Na,K-ATPase car en réalité elle rejette du sodium (Na) et en échange elle fait entrer dans la cellule du potassium (K), et pour fonctionner elle a besoin d'énergie (ATP). Lorsque les pompes à sodium ne fonctionnent pas bien, cela peut conduire à des maladies. En effet la Migraine Familiale Hémiplégique de type 2, est une migraine très rare qui se caractérise par l'apparition de la paralysie de la moitié d'un corps avant l'apparition du mal de tête. C'est une maladie génétique (altération qui modifie la fonction d'une protéine) qui touche la pompe à sodium située dans le cerveau. On a découvert que certaines altérations (mutations) empêchent les pompes à sodium de fonctionner correctement. On pense alors que le développement des migraines est en partie dû au fait que ces pompes fonctionnent moins bien. Il est important de bien connaître la fonction de ces pompes car cela permet de comprendre des mécanismes pouvant conduire à certaines maladies, comme les migraines. En biologie, la fonction d'une protéine est étudiée à travers sa structure. C'est pourquoi l'objectif de cette thèse a été d'étudier la structure de la Na,K-ATPase afin de mieux comprendre son mécanisme d'action.

Epithelial sodium channel/degenerin family of ion channels: a variety of functions for a shared structure.

The recently discovered epithelial sodium channel (ENaC)/degenerin (DEG) gene family encodes sodium channels involved in various cell functions in metazoans. Subfamilies found in invertebrates or mammals are functionally distinct. The degenerins in Caenorhabditis elegans participate in mechanotransduction in neuronal cells, FaNaC in snails is a ligand-gated channel activated by neuropeptides, and the Drosophila subfamily is expressed in gonads and neurons. In mammals, ENaC mediates Na+ transport in epithelia and is essential for sodium homeostasis. The ASIC genes encode proton-gated cation channels in both the central and peripheral nervous system that could be involved in pain transduction. This review summarizes the physiological roles of the different channels belonging to this family, their biophysical and pharmacological characteristics, and the emerging knowledge of their molecular structure. Although functionally different, the ENaC/DEG family members share functional domains that are involved in the control of channel activity and in the formation of the pore. The functional heterogeneity among the members of the ENaC/DEG channel family provides a unique opportunity to address the molecular basis of basic channel functions such as activation by ligands, mechanotransduction, ionic selectivity, or block by pharmacological ligands.

Electronic structure and properties of AlN

The electronic structure of the wurtzite-type phase of aluminum nitride has been investigated by means of periodic ab initio Hartree-Fock calculations. The binding energy, lattice parameters (a,c), and the internal coordinate (u) have been calculated. All structural parameters are in excellent agreement with the experimental data. The electronic structure and bonding in AlN are analyzed by means of density-of-states projections and electron-density maps. The calculated values of the bulk modulus, its pressure derivative, the optical-phonon frequencies at the center of the Brillouin zone, and the full set of elastic constants are in good agreement with the experimental data.

Electronic structure and properties of Cu2O

The structural and electronic properties of Cu2O have been investigated using the periodic Hartree-Fock method and a posteriori density-functional corrections. The lattice parameter, bulk modulus, and elastic constants have been calculated. The electronic structure of and bonding in Cu2O are analyzed and compared with x-ray photoelectron spectroscopy spectra, showing a good agreement for the valence-band states. To check the quality of the calculated electron density, static structure factors and Compton profiles have been calculated, showing a good agreement with the available experimental data. The effective electron and hole masses have been evaluated for Cu2O at the center of the Brillouin zone. The calculated interaction energy between the two interpenetrated frameworks in the cuprite structure is estimated to be around -6.0 kcal/mol per Cu2O formula. The bonding between the two independent frameworks has been analyzed using a bimolecular model and the results indicate an important role of d10-d10 type interactions between copper atoms.

Electronic structure and magnetic interactions of the spin-chain compounds Ca2CuO3 and Sr2CuO3

The results are presented of a combined periodic and cluster model approach to the electronic structure and magnetic interactions in the spin-chain compounds Ca2CuO3 and Sr2CuO3. An extended t-J model is presented that includes in-chain and interchain hopping and magnetic interaction processes with parameters extracted from ab initio calculations. For both compounds, the in-chain magnetic interaction is found to be around -240 meV, larger than in any of the other cuprates reported in the literature. The interchain magnetic coupling is found to be weakly antiferromagnetic, -1 meV. The effective in-chain hopping parameters are estimated to be ~650 meV for both compounds, whereas the value of the interchain hopping parameter is 30 meV for Sr2CuO3 and 40 meV for Ca2CuO3, in line with the larger interchain distance in the former compound. These effective parameters are shown to be consistent with expressions recently suggested for the Néel temperature and the magnetic moments, and with relations that emerge from the t-J model Hamiltonian. Next, we investigate the physical nature of the band gap. Periodic calculations indicate that an interpretation in terms of a charge-transfer insulator is the most appropriate one, in contrast to the suggestion of a covalent correlated insulator recently reported in the literature.

Magnetic structure of Li2CuO2: From ab initio calculations to macroscopic simulations

The magnetic structure of the edge-sharing cuprate compound Li2CuO2 has been investigated with highly correlated ab initio electronic structure calculations. The first- and second-neighbor in-chain magnetic interactions are calculated to be 142 and -22 K, respectively. The ratio between the two parameters is smaller than suggested previously in the literature. The interchain interactions are antiferromagnetic in nature and of the order of a few K only. Monte Carlo simulations using the ab initio parameters to define the spin model Hamiltonian result in a Nel temperature in good agreement with experiment. Spin population analysis situates the magnetic moment on the copper and oxygen ions between the completely localized picture derived from experiment and the more delocalized picture based on local-density calculations.

Effective t-J model Hamiltonian parameters of monolayered cuprate superconductors from ab initio electronic structure calculations

The magnetic coupling constant of selected cuprate superconductor parent compounds has been determined by means of embedded cluster model and periodic calculations carried out at the same level of theory. The agreement between both approaches validates the cluster model. This model is subsequently employed in state-of-the-art configuration interaction calculations aimed to obtain accurate values of the magnetic coupling constant and hopping integral for a series of superconducting cuprates. Likewise, a systematic study of the performance of different ab initio explicitly correlated wave function methods and of several density functional approaches is presented. The accurate determination of the parameters of the t-J Hamiltonian has several consequences. First, it suggests that the appearance of high-Tc superconductivity in existing monolayered cuprates occurs with J/t in the 0.20¿0.35 regime. Second, J/t=0.20 is predicted to be the threshold for the existence of superconductivity and, third, a simple and accurate relationship between the critical temperatures at optimum doping and these parameters is found. However, this quantitative electronic structure versus Tc relationship is only found when both J and t are obtained at the most accurate level of theory.

Electronic structure of a neutral oxygen vacancy in SrTiO3

The electronic structure of an isolated oxygen vacancy in SrTiO3 has been investigated with a variety of ab initio quantum mechanical approaches. In particular we compared pure density functional theory (DFT) approaches with the Hartree-Fock method, and with hybrid methods where the exchange term is treated in a mixed way. Both local cluster models and periodic calculations with large supercells containing up to 80 atoms have been performed. Both diamagnetic (singlet state) and paramagnetic (triplet state) solutions have been considered. We found that the formation of an O vacancy is accompanied by the transfer of two electrons to the 3d(z2) orbitals of the two Ti atoms along the Ti-Vac-Ti axis. The two electrons are spin coupled and the ground state is diamagnetic. New states associated with the defect center appear in the gap just below the conduction band edge. The formation energy computed with respect to an isolated oxygen atom in the triplet state is 9.4 eV.

Electronic and magnetic structure of LaMnO3 from hybrid periodic density-functional theory

The electronic and magnetic structures of the LaMnO3 compound have been studied by means of periodic calculations within the framework of spin polarized hybrid density-functional theory. In order to quantify the role of approximations to electronic exchange and correlation three different hybrid functionals have been used which mix nonlocal Fock and local Dirac-Slater exchange. Periodic Hartree-Fock results are also reported for comparative purposes. The A-antiferromagnetic ground state is properly predicted by all methods including Hartree-Fock exchange. In general, the different hybrid methods provide a rather accurate description of the band gap and of the two magnetic coupling constants, strongly suggesting that the corresponding description of the electronic structure is also accurate. An important conclusion emerging from this study is that the nature of the occupied states near the Fermi level is intermediate between the Hartree-Fock and local density approximation descriptions with a comparable participation of both Mn and O states.

Surface structure and stability of PdZn and PtZn alloys: Density-functional slab model studies

Geometric parameters of binary (1:1) PdZn and PtZn alloys with CuAu-L10 structure were calculated with a density functional method. Based on the total energies, the alloys are predicted to feature equal formation energies. Calculated surface energies of PdZn and PtZn alloys show that (111) and (100) surfaces exposing stoichiometric layers are more stable than (001) and (110) surfaces comprising alternating Pd (Pt) and Zn layers. The surface energy values of alloys lie between the surface energies of the individual components, but they differ from their composition weighted averages. Compared with the pure metals, the valence d-band widths and the Pd or Pt partial densities of states at the Fermi level are dramatically reduced in PdZn and PtZn alloys. The local valence d-band density of states of Pd and Pt in the alloys resemble that of metallic Cu, suggesting that a similar catalytic performance of these systems can be related to this similarity in the local electronic structures.