Giant acceleration of free diffusion by use of titled periodic potentials

The effective diffusion coefficient for the overdamped Brownian motion in a tilted periodic potential is calculated in closed analytical form. Universality classes and scaling properties for weak thermal noise are identified near the threshold tilt where deterministic running solutions set in. In this regime the diffusion may be greatly enhanced, as compared to free thermal diffusion with, for a realistic experimental setup, an enhancement of up to 14 orders of magnitude.

Bistability driven by white shot noise

We consider mean-first-passage times and transition rates in bistable systems driven by white shot noise. We obtain closed analytical expressions, asymptotic approximations, and numerical simulations in two cases of interest: (i) jumps sizes exponentially distributed and (ii) jumps of the same size.

Primordial neurosecretory apparatus identified in the choanoflagellate Monosiga brevicollis.

SNARE protein-driven secretion of neurotransmitters from synaptic vesicles is at the center of neuronal communication. In the absence of the cytosolic protein Munc18-1, synaptic secretion comes to a halt. Although it is believed that Munc18-1 orchestrates SNARE complexes, its mode of action is still a matter of debate. In particular, it has been challenging to clarify the role of a tight Munc18/syntaxin 1 complex, because this interaction interferes strongly with syntaxin's ability to form a SNARE complex. In this complex, two regions of syntaxin, the N-peptide and the remainder in closed conformation, bind to Munc18 simultaneously. Until now, this binary complex has been reported for neuronal tissues only, leading to the hypothesis that it might be a specialization of the neuronal secretion apparatus. Here we aimed, by comparing the core secretion machinery of the unicellular choanoflagellate Monosiga brevicollis with that of animals, to reconstruct the ancestral function of the Munc18/syntaxin1 complex. We found that the Munc18/syntaxin 1 complex from M. brevicollis is structurally and functionally highly similar to the vertebrate complex, suggesting that it constitutes a fundamental step in the reaction pathway toward SNARE assembly. We thus propose that the primordial secretion machinery of the common ancestor of choanoflagellates and animals has been co-opted for synaptic roles during the rise of animals.

Test of the fluctuation theorem for stochastic entropy production in a nonequilibrium steady state

We derive a simple closed analytical expression for the total entropy production along a single stochastic trajectory of a Brownian particle diffusing on a periodic potential under an external constant force. By numerical simulations we compute the probability distribution functions of the entropy and satisfactorily test many of the predictions based on Seiferts integral fluctuation theorem. The results presented for this simple model clearly illustrate the practical features and implications derived from such a result of nonequilibrium statistical mechanics.

Methods to Quantify Nickel in Soils and Plant Tissues

In comparison with other micronutrients, the levels of nickel (Ni) available in soils and plant tissues are very low, making quantification very difficult. The objective of this paper is to present optimized determination methods of Ni availability in soils by extractants and total content in plant tissues for routine commercial laboratory analyses. Samples of natural and agricultural soils were processed and analyzed by Mehlich-1 extraction and by DTPA. To quantify Ni in the plant tissues, samples were digested with nitric acid in a closed system in a microwave oven. The measurement was performed by inductively coupled plasma/optical emission spectrometry (ICP-OES). There was a positive and significant correlation between the levels of available Ni in the soils subjected to Mehlich-1 and DTPA extraction, while for plant tissue samples the Ni levels recovered were high and similar to the reference materials. The availability of Ni in some of the natural soil and plant tissue samples were lower than the limits of quantification. Concentrations of this micronutrient were higher in the soil samples in which Ni had been applied. Nickel concentration differed in the plant parts analyzed, with highest levels in the grains of soybean. The grain, in comparison with the shoot and leaf concentrations, were better correlated with the soil available levels for both extractants. The methods described in this article were efficient in quantifying Ni and can be used for routine laboratory analysis of soils and plant tissues.

Wind Monitoring of the Saylorville and Red Rock Reservoir Bridges with Remote, Cellular-Based Notifications, May 2012

Following a high wind event on January 24, 2006, at least five people claimed to have seen or felt the superstructure of the Saylorville Reservoir Bridge in central Iowa moving both vertically and laterally. Since that time, the Iowa Department of Transportation (DOT) contracted with the Bridge Engineering Center at Iowa State University to design and install a monitoring system capable of providing notification of the occurrence of subsequent high wind events. In subsequent years, a similar system was installed on the Red Rock Reservoir Bridge to provide the same wind monitoring capabilities and notifications to the Iowa DOT. The objectives of the system development and implementation are to notify personnel when the wind speed reaches a predetermined threshold such that the bridge can be closed for the safety of the public, correlate structural response with wind-induced response, and gather historical wind data at these structures for future assessments. This report describes the two monitoring systems, their components, upgrades, functionality, and limitations, and results from one year of wind data collection at both bridges.

Estimation of jump-diffusion processes via empirical characteristic functions

Preface The starting point for this work and eventually the subject of the whole thesis was the question: how to estimate parameters of the affine stochastic volatility jump-diffusion models. These models are very important for contingent claim pricing. Their major advantage, availability T of analytical solutions for characteristic functions, made them the models of choice for many theoretical constructions and practical applications. At the same time, estimation of parameters of stochastic volatility jump-diffusion models is not a straightforward task. The problem is coming from the variance process, which is non-observable. There are several estimation methodologies that deal with estimation problems of latent variables. One appeared to be particularly interesting. It proposes the estimator that in contrast to the other methods requires neither discretization nor simulation of the process: the Continuous Empirical Characteristic function estimator (EGF) based on the unconditional characteristic function. However, the procedure was derived only for the stochastic volatility models without jumps. Thus, it has become the subject of my research. This thesis consists of three parts. Each one is written as independent and self contained article. At the same time, questions that are answered by the second and third parts of this Work arise naturally from the issues investigated and results obtained in the first one. The first chapter is the theoretical foundation of the thesis. It proposes an estimation procedure for the stochastic volatility models with jumps both in the asset price and variance processes. The estimation procedure is based on the joint unconditional characteristic function for the stochastic process. The major analytical result of this part as well as of the whole thesis is the closed form expression for the joint unconditional characteristic function for the stochastic volatility jump-diffusion models. The empirical part of the chapter suggests that besides a stochastic volatility, jumps both in the mean and the volatility equation are relevant for modelling returns of the S&P500 index, which has been chosen as a general representative of the stock asset class. Hence, the next question is: what jump process to use to model returns of the S&P500. The decision about the jump process in the framework of the affine jump- diffusion models boils down to defining the intensity of the compound Poisson process, a constant or some function of state variables, and to choosing the distribution of the jump size. While the jump in the variance process is usually assumed to be exponential, there are at least three distributions of the jump size which are currently used for the asset log-prices: normal, exponential and double exponential. The second part of this thesis shows that normal jumps in the asset log-returns should be used if we are to model S&P500 index by a stochastic volatility jump-diffusion model. This is a surprising result. Exponential distribution has fatter tails and for this reason either exponential or double exponential jump size was expected to provide the best it of the stochastic volatility jump-diffusion models to the data. The idea of testing the efficiency of the Continuous ECF estimator on the simulated data has already appeared when the first estimation results of the first chapter were obtained. In the absence of a benchmark or any ground for comparison it is unreasonable to be sure that our parameter estimates and the true parameters of the models coincide. The conclusion of the second chapter provides one more reason to do that kind of test. Thus, the third part of this thesis concentrates on the estimation of parameters of stochastic volatility jump- diffusion models on the basis of the asset price time-series simulated from various "true" parameter sets. The goal is to show that the Continuous ECF estimator based on the joint unconditional characteristic function is capable of finding the true parameters. And, the third chapter proves that our estimator indeed has the ability to do so. Once it is clear that the Continuous ECF estimator based on the unconditional characteristic function is working, the next question does not wait to appear. The question is whether the computation effort can be reduced without affecting the efficiency of the estimator, or whether the efficiency of the estimator can be improved without dramatically increasing the computational burden. The efficiency of the Continuous ECF estimator depends on the number of dimensions of the joint unconditional characteristic function which is used for its construction. Theoretically, the more dimensions there are, the more efficient is the estimation procedure. In practice, however, this relationship is not so straightforward due to the increasing computational difficulties. The second chapter, for example, in addition to the choice of the jump process, discusses the possibility of using the marginal, i.e. one-dimensional, unconditional characteristic function in the estimation instead of the joint, bi-dimensional, unconditional characteristic function. As result, the preference for one or the other depends on the model to be estimated. Thus, the computational effort can be reduced in some cases without affecting the efficiency of the estimator. The improvement of the estimator s efficiency by increasing its dimensionality faces more difficulties. The third chapter of this thesis, in addition to what was discussed above, compares the performance of the estimators with bi- and three-dimensional unconditional characteristic functions on the simulated data. It shows that the theoretical efficiency of the Continuous ECF estimator based on the three-dimensional unconditional characteristic function is not attainable in practice, at least for the moment, due to the limitations on the computer power and optimization toolboxes available to the general public. Thus, the Continuous ECF estimator based on the joint, bi-dimensional, unconditional characteristic function has all the reasons to exist and to be used for the estimation of parameters of the stochastic volatility jump-diffusion models.

Industrial agglomerations and wage gradients: the Spanish economy in the interwar period

This paper gives new evidence on the relationship between integration and industrial agglomeration in the presence of scale economies, by testing directly one of the predictions that can be derived from Krugman (1991), that is, the existence of regional nominal wage gradients and its transformation following changes in trade regimes. Our case study analyzes the effects of the substitution of an open economy by a closed economy regime, exactly the opposite process studied by Hanson (1996, 1997). In Spain, during the interwar period, protectionist policies would have favored the loss of centrality of the coastal location (Barcelona) and the relative rise of central locations (such as Madrid). Our results indicate the existence of a wage gradient centered in Barcelona during the interwar period (1914-1930) and its weakening after 1925.

Urinary hexane diamine to assess respiratory exposure to hexamethylene diisocyanate aerosol: a human inhalation study

The use of urinary hexane diamine (HDA) as a biomarker to assess human respiratory exposure to hexamethylene diisocyanate (HDI) aerosol was evaluated. Twenty-three auto body shop workers were exposed to HDI biuret aerosol for two hours using a closed exposure apparatus. HDI exposures were quantified using both a direct-reading instrument and a treated-filter method. Urine samples collected at baseline, immediately post exposure, and every four to five hours for up to 20 hours were analyzed for HDA using gas chromatography and mass spectrometry. Mean urinary HDA (microg/g creatinine) sharply increased from the baseline value of 0.7 to 18.1 immediately post exposure and decreased rapidly to 4.7, 1.9 and 1.1, respectively, at 4, 9, and 18 hours post exposure. Considerable individual variability was found. Urinary HDA can assess acute respiratory exposure to HDI aerosol, but may have limited use as a biomarker of exposure in the workplace. [Authors]

Wind Monitoring of the Saylorville and Red Rock Reservoir Bridges with Remote, Cellular-Based Notifications, May 2012

Following high winds on January 24, 2006, at least five people claimed to have seen or felt the superstructure of the Saylorville Reservoir Bridge in central Iowa moving both vertically and laterally. Since that time, the Iowa Department of Transportation (DOT) contracted with the Bridge Engineering Center at Iowa State University to design and install a monitoring system capable of providing notification of the occurrence of subsequent high winds. Although measures were put into place following the 2006 event at the Saylorville Reservoir Bridge, knowledge of the performance of this bridge during high wind events was incomplete. Therefore, the Saylorville Reservoir Bridge was outfitted with an information management system to investigate the structural performance of the structure and the potential for safety risks. In subsequent years, given the similarities between the Saylorville and Red Rock Reservoir bridges, a similar system was added to the Red Rock Reservoir Bridge southeast of Des Moines. The monitoring system developed and installed on these two bridges was designed to monitor the wind speed and direction at the bridge and, via a cellular modem, send a text message to Iowa DOT staff when wind speeds meet a predetermined threshold. The original intent was that, once the text message is received, the bridge entrances would be closed until wind speeds diminish to safe levels.

Monge assignment games

Un juego de asignación se define por una matriz A; donde cada fila representa un comprador y cada columna un vendedor. Si el comprador i se empareja a un vendedor j; el mercado produce aij unidades de utilidad. Estudiamos los juegos de asignación de Monge, es decir, aquellos juegos bilaterales de asignación en los cuales la matriz satisface la propiedad de Monge. Estas matrices pueden caracterizarse por el hecho de que en cualquier submatriz 2x2 un emparejamiento óptimo está situado en la diagonal principal. Para mercados cuadrados, describimos sus núcleos utilizando sólo la parte central tridiagonal de elementos de la matriz. Obtenemos una fórmula cerrada para el reparto óptimo de los compradores dentro del núcleo y para el reparto óptimo de los vendedores dentro del núcleo. Analizamos también los mercados no cuadrados reduciéndolos a matrices cuadradas apropiadas.

Linear least squares estimation of the first order moving average parameter

We propose an iterative procedure to minimize the sum of squares function which avoids the nonlinear nature of estimating the first order moving average parameter and provides a closed form of the estimator. The asymptotic properties of the method are discussed and the consistency of the linear least squares estimator is proved for the invertible case. We perform various Monte Carlo experiments in order to compare the sample properties of the linear least squares estimator with its nonlinear counterpart for the conditional and unconditional cases. Some examples are also discussed

Investigation of Earlham Community School District Employee’s Personal Use of a School Vehicle, July 6, 2012

We received a complaint in late September 2011 that an Earlham School District employee had borrowed a school vehicle for her personal use for one month, with the Superintendent’s permission. The school board had discussed the circumstances of the borrowed district vehicle in closed session. The complainant believed this was contrary to Iowa law and also believed no action had been taken against the school employee who borrowed the vehicle or the superintendent who allowed the personal use of the vehicle. He was aware the school district’s attorney reviewed the matter and determined the employee and superintendent violated no law or district policies. Since the school board discussed the matter only in closed session, it was unknown what, if any, discipline was taken against the employees and whether such actions were condoned by the district. We agreed to investigate to determine if the actions of school officials or employees violated Iowa law and if the response from the school board was appropriate.

Processus de reconnaissance et d'identification de personnes décédées

Recognition and identification processes for deceased persons. Determining the identity of deceased persons is a routine task performed essentially by police departments and forensic experts. This thesis highlights the processes necessary for the proper and transparent determination of the civil identities of deceased persons. The identity of a person is defined as the establishment of a link between that person ("the source") and information pertaining to the same individual ("identifiers"). Various identity forms could emerge, depending on the nature of the identifiers. There are two distinct types of identity, namely civil identity and biological identity. The paper examines four processes: identification by witnesses (the recognition process) and comparisons of fingerprints, dental data and DNA profiles (the identification processes). During the recognition process, the memory function is examined and helps to clarify circumstances that may give rise to errors. To make the process more rigorous, a body presentation procedure is proposed to investigators. Before examining the other processes, three general concepts specific to forensic science are considered with regard to the identification of a deceased person, namely, matter divisibility (Inman and Rudin), transfer (Locard) and uniqueness (Kirk). These concepts can be applied to the task at hand, although some require a slightly broader scope of application. A cross comparison of common forensic fields and the identification of deceased persons reveals certain differences, including 1 - reverse positioning of the source (i.e. the source is not sought from traces, but rather the identifiers are obtained from the source); 2 - the need for civil identity determination in addition to the individualisation stage; and 3 - a more restricted population (closed set), rather than an open one. For fingerprints, dental and DNA data, intravariability and intervariability are examined, as well as changes in these post mortem (PM) identifiers. Ante-mortem identifiers (AM) are located and AM-PM comparisons made. For DNA, it has been shown that direct identifiers (taken from a person whose civil identity has been alleged) tend to lead to determining civil identity whereas indirect identifiers (obtained from a close relative) direct towards a determination of biological identity. For each process, a Bayesian model is presented which includes sources of uncertainty deemed to be relevant. The results of the different processes combine to structure and summarise an overall outcome and a methodology. The modelling of dental data presents a specific difficulty with respect to intravariability, which in itself is not quantifiable. The concept of "validity" is, therefore, suggested as a possible solution to the problem. Validity uses various parameters that have an acknowledged impact on teeth intravariability. In cases where identifying deceased persons proves to be extremely difficult due to the limited discrimination of certain procedures, the use of a Bayesian approach is of great value in bringing a transparent and synthetic value. RESUME : Titre: Processus de reconnaissance et d'identification de personnes décédées. L'individualisation de personnes décédées est une tâche courante partagée principalement par des services de police, des odontologues et des laboratoires de génétique. L'objectif de cette recherche est de présenter des processus pour déterminer valablement, avec une incertitude maîtrisée, les identités civiles de personnes décédées. La notion d'identité est examinée en premier lieu. L'identité d'une personne est définie comme l'établissement d'un lien entre cette personne et des informations la concernant. Les informations en question sont désignées par le terme d'identifiants. Deux formes distinctes d'identité sont retenues: l'identité civile et l'identité biologique. Quatre processus principaux sont examinés: celui du témoignage et ceux impliquant les comparaisons d'empreintes digitales, de données dentaires et de profils d'ADN. Concernant le processus de reconnaissance, le mode de fonctionnement de la mémoire est examiné, démarche qui permet de désigner les paramètres pouvant conduire à des erreurs. Dans le but d'apporter un cadre rigoureux à ce processus, une procédure de présentation d'un corps est proposée à l'intention des enquêteurs. Avant d'entreprendre l'examen des autres processus, les concepts généraux propres aux domaines forensiques sont examinés sous l'angle particulier de l'identification de personnes décédées: la divisibilité de la matière (Inman et Rudin), le transfert (Locard) et l'unicité (Kirk). Il est constaté que ces concepts peuvent être appliqués, certains nécessitant toutefois un léger élargissement de leurs principes. Une comparaison croisée entre les domaines forensiques habituels et l'identification de personnes décédées montre des différences telles qu'un positionnement inversé de la source (la source n'est plus à rechercher en partant de traces, mais ce sont des identifiants qui sont recherchés en partant de la source), la nécessité de devoir déterminer une identité civile en plus de procéder à une individualisation ou encore une population d'intérêt limitée plutôt qu'ouverte. Pour les empreintes digitales, les dents et l'ADN, l'intra puis l'inter-variabilité sont examinées, de même que leurs modifications post-mortem (PM), la localisation des identifiants ante-mortem (AM) et les comparaisons AM-PM. Pour l'ADN, il est démontré que les identifiants directs (provenant de la personne dont l'identité civile est supposée) tendent à déterminer une identité civile alors que les identifiants indirects (provenant d'un proche parent) tendent à déterminer une identité biologique. Puis une synthèse des résultats provenant des différents processus est réalisée grâce à des modélisations bayesiennes. Pour chaque processus, une modélisation est présentée, modélisation intégrant les paramètres reconnus comme pertinents. À ce stade, une difficulté apparaît: celle de quantifier l'intra-variabilité dentaire pour laquelle il n'existe pas de règle précise. La solution préconisée est celle d'intégrer un concept de validité qui intègre divers paramètres ayant un impact connu sur l'intra-variabilité. La possibilité de formuler une valeur de synthèse par l'approche bayesienne s'avère d'une aide précieuse dans des cas très difficiles pour lesquels chacun des processus est limité en termes de potentiel discriminant.

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.