Self and cross-velocity correlation functions and diffusion coefficients in liquids: a molecular dynamics study of binary mixtures of soft spheres

Molecular dynamics simulation is applied to the study of the diffusion properties in binary liquid mixtures made up of soft-sphere particles with different sizes and masses. Self- and distinct velocity correlation functions and related diffusion coefficients have been calculated. Special attention has been paid to the dynamic cross correlations which have been computed through recently introduced relative mean molecular velocity correlation functions which are independent on the reference frame. The differences between the distinct velocity correlations and diffusion coefficients in different reference frames (mass-fixed, number-fixed, and solvent-fixed) are discussed.

When telegrapher's equation furnishes a better approximation to transport equation than the difussion approximation

It has been suggested that a solution to the transport equation which includes anisotropic scattering can be approximated by the solution to a telegrapher's equation [A.J. Ishimaru, Appl. Opt. 28, 2210 (1989)]. We show that in one dimension the telegrapher's equation furnishes an exact solution to the transport equation. In two dimensions, we show that, since the solution can become negative, the telegrapher's equation will not furnish a usable approximation. A comparison between simulated data in three dimensions indicates that the solution to the telegrapher's equation is a good approximation to that of the full transport equation at the times at which the diffusion equation furnishes an equally good approximation.

Control of transepithelial Na+ transport and Na-K-ATPase by oxytocin and aldosterone.

Short- and long-term effect of oxytocin on Na+ transport and Na-K-ATPase biosynthesis in the toad bladder, and the potential interaction of this hormone with aldosterone have been studied, leading to the following observations. An early Na+ transport response (oxytocin, 50 mU/ml) peaked at 10-15 min of hormone addition. At maximal stimulation a three- to fourfold increase in Na+ transport was observed, a sustained Na+ transport response (about two-fold control base line) was observed as long as the hormone was present in the medium and for up to 20 h of incubation. Pretreatment for 30 min with actinomycin D (2 micrograms/ml) did not inhibit the early response, but significantly impaired the sustained response, suggesting that de novo protein synthesis was required. The simultaneous addition of the two hormones led within 60 min to a marked potentiation of the action on Na+ transport. This synergism could be mimicked by exogenous cyclic adenosine monophosphate (cAMP). Oxytocin alone (18 h exposure, 50 mU/ml) increased the relative rate of synthesis of both alpha and beta subunits of Na-K-ATPase (1.9- and 1.6-fold, respectively; P less than 0.05), whereas aldosterone (80 nM) increased the relative rate of synthesis of the same subunits (2.6- and 2.2-fold, respectively; P less than 0.02). Finally, in contrast to what was observed at the physiological level, the interaction of oxytocin and aldosterone did not lead to a similar potentiation at the biochemical level, i.e., induction of Na-K-ATPase biosynthesis (2.7- and 2.9-fold, for alpha and beta subunits, respectively; P less than 0.025).

Sediment Control in Bridge Waterways, February 1990

The objective of this study was to develop guidelines for use of the Iowa Vanes technique for sediment control in bridge waterways. Iowa Vanes are small flow-training structures (foils) designed to modify the near-bed flow pattern and redistribute flow and sediment transport within the channel cross section. The structures are installed at an angleof attack of 15 - 25' with the flow, and their initial height is 0.2 - 0.5 times water depth at design stage. The vanes function by generating secondary circulation in the flow. The circulation alters magnitude and direction of the bed shear stress and causes a reduction in velocity and sediment transport in the vane controlled area. As a result, the river bed aggrades in the vane controlled area and degrades outside. This report summarizes the basic theory, describes results of laboratory and field tests, and presents the resulting design procedure. Design graphs have been developed based on the theory. The graphs are entered with basic flow variables and desired bed topography. The output is vane layout and design. The procedure is illustrated with two numerical examples prepared with data that are typical for many rivers in Iowa and the midwest. The report also discusses vane material. In most applications, the vane height will be between 30% and 50% of bankfull flow depth and the vane length will be two to three times vane height. The vanes will be placed in arrays along the bank of the river. Each array will contain two or more vanes. The vanes in an array will be spaced laterally a distance of two to three times vane height. The streamwise spacing between the arrays will be 15 to 30 times vane height, and the vane-to-bank distance will be three to four times vane height. The study also show that the first (most upstream) array in the vane system must be located a distance of at least three array spacings upstream from the bridge, and there must be at least three arrays in the system for it to be effective at and downstream from the third array.

Estimation of the correlation structure of crustal velocity heterogeneity from seismic reflection data

Numerous sources of evidence point to the fact that heterogeneity within the Earth's deep crystalline crust is complex and hence may be best described through stochastic rather than deterministic approaches. As seismic reflection imaging arguably offers the best means of sampling deep crustal rocks in situ, much interest has been expressed in using such data to characterize the stochastic nature of crustal heterogeneity. Previous work on this problem has shown that the spatial statistics of seismic reflection data are indeed related to those of the underlying heterogeneous seismic velocity distribution. As of yet, however, the nature of this relationship has remained elusive due to the fact that most of the work was either strictly empirical or based on incorrect methodological approaches. Here, we introduce a conceptual model, based on the assumption of weak scattering, that allows us to quantitatively link the second-order statistics of a 2-D seismic velocity distribution with those of the corresponding processed and depth-migrated seismic reflection image. We then perform a sensitivity study in order to investigate what information regarding the stochastic model parameters describing crustal velocity heterogeneity might potentially be recovered from the statistics of a seismic reflection image using this model. Finally, we present a Monte Carlo inversion strategy to estimate these parameters and we show examples of its application at two different source frequencies and using two different sets of prior information. Our results indicate that the inverse problem is inherently non-unique and that many different combinations of the vertical and lateral correlation lengths describing the velocity heterogeneity can yield seismic images with the same 2-D autocorrelation structure. The ratio of all of these possible combinations of vertical and lateral correlation lengths, however, remains roughly constant which indicates that, without additional prior information, the aspect ratio is the only parameter describing the stochastic seismic velocity structure that can be reliably recovered.

Sperm velocity in an Alpine whitefish: effects of age, size, condition, fluctuating asymmetry and gonad abnormalities

The relationship between sperm velocity and individual age, size, body condition and fluctuating asymmetry was investigated in Alpine whitefish Coregonus fatioi. The fish analysed belonged to one among several sympatric whitefish populations of Lake Thun, Switzerland, which are characterized by a high prevalence of gonad alterations. Therefore, sperm velocity data were also tested for a link between gonad deformation and sperm swimming speed. Sperm velocity was significantly lower in larger-grown individuals and in individuals of higher body condition. As expected, sperm velocity was higher in males with higher levels of fluctuating asymmetry, but it did not significantly vary with male age. Moreover, variation in sperm velocity was found to be significantly higher in individuals showing some types of gonad alterations but it did not significantly correlate with the presence of other types of alterations. (C) 2007 The Authors Journal compilation (C) 2007 The Fisheries Society of the British Isles.

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.

Evaluation of uptake and transport of ultrasmall superparamagnetic iron oxide nanoparticles by human brain-derived endothelial cells.

Aim: Ultrasmall superparamagnetic iron oxide nanoparticles (USPIO-NPs) are under development for imaging and drug delivery; however, their interaction with human blood-brain barrier models is not known. Materials & Methods: The uptake, reactive oxygen species production and transport of USPIO-NPs across human brain-derived endothelial cells as models of the blood-brain tumor barrier were evaluated for either uncoated, oleic acid-coated or polyvinylamine-coated USPIO-NPs. Results: Reactive oxygen species production was observed for oleic acid-coated and polyvinylamine-coated USPIO-NPs. The uptake and intracellular localization of the iron oxide core of the USPIO-NPs was confirmed by transmission electron microscopy. However, while the uptake of these USPIO-NPs by cells was observed, they were neither released by nor transported across these cells even in the presence of an external dynamic magnetic field. Conclusion: USPIO-NP-loaded filopodia were observed to invade the polyester membrane, suggesting that they can be transported by migrating angiogenic brain-derived endothelial cells.

Cholesterol transport from late endosomes to the Golgi regulates t-SNARE trafficking, assembly, and function

Cholesterol regulates plasma membrane (PM) association and functioning of syntaxin-4 and soluble N-ethylmaleimide-sensitive fusion protein 23 (SNAP23) in the secretory pathway. However, the molecular mechanism and cellular cholesterol pools that determine the localization and assembly of these target membrane SNAP receptors (t-SNAREs) are largely unknown. We recently demonstrated that high levels of annexin A6 (AnxA6) induce accumulation of cholesterol in late endosomes, thereby reducing cholesterol in the Golgi and PM. This leads to an impaired supply of cholesterol needed for cytosolic phospholipase A2 (cPLA2) to drive Golgi vesiculation and caveolin transport to the cell surface. Using AnxA6-overexpressing cells as a model for cellular cholesterol imbalance, we identify impaired cholesterol egress from late endosomes and diminution of Golgi cholesterol as correlating with the sequestration of SNAP23/syntaxin-4 in Golgi membranes. Pharmacological accumulation of late endosomal cholesterol and cPLA2 inhibition induces a similar phenotype in control cells with low AnxA6 levels. Ectopic expression of Niemann-Pick C1 (NPC1) or exogenous cholesterol restores the location of SNAP23 and syntaxin-4 within the PM. Importantly, AnxA6-mediated mislocalization of these t-SNAREs correlates with reduced secretion of cargo via the SNAP23/syntaxin-4¿dependent constitutive exocytic pathway. We thus conclude that inhibition of late endosomal export and Golgi cholesterol depletion modulate t-SNARE localization and functioning along the exocytic pathway.

Measuring conduct and cost parameters in the Spanish air transport market

This paper estimates a model of airline competition for the Spanish air transport market. I test the explanatory power of alternative oligopoly models with capacity constraints. In addition, I analyse the degree of density economies. Results show that Spanish airlines conduct follows a price-leadership scheme so that it is less competitive than the Cournot solution. I also find evidence that thin routes can be considered as natural monopolies

Velocity fluctuations of fracturelike disruptions of associating polymer solutions

Velocity has been measured as a function of time for propagating crack tips as water is injected into solutions of end-capped associating polymers in a rectanguar Hele-Shaw cell. Measurements were performed for flows with different values of cell gap, channel width, polymer molecular weight, and polymer concentration. The condition for the onset of fracturelike behavior is well described by a Deborah number which uses the shear-thinning shear rate of the polymer solution as a characteristic frequency for network relaxation. At low molecular weight, the onset of fracturelike pattern evolution is accompanied by an abrupt jump in tip velocity, followed by a lower and approximately constant acceleration. At high molecular weight, the transition to fracturelike behavior involves passing through a regime that may be understood in terms of stick-slip dynamics. The crack-tip wanders from side to side and fluctuates (in both speed and velocity along the channel) with a characteristic frequency which depends linearly on the invading fluid injection rate.

Velocity-jump instabilities in Hele-Shaw flow of associating polymer solutions

We study fracturelike flow instabilities that arise when water is injected into a Hele-Shaw cell filled with aqueous solutions of associating polymers. We explore various polymer architectures, molecular weights, and solution concentrations. Simultaneous measurements of the finger tip velocity and of the pressure at the injection point allow us to describe the dynamics of the finger in terms of the finger mobility, which relates the velocity to the pressure gradient. The flow discontinuities, characterized by jumps in the finger tip velocity, which are observed in experiments with some of the polymer solutions, can be modeled by using a nonmonotonic dependence between a characteristic shear stress and the shear rate at the tip of the finger. A simple model, which is based on a viscosity function containing both a Newtonian and a non-Newtonian component, and which predicts nonmonotonic regions when the non-Newtonian component of the viscosity dominates, is shown to agree with the experimental data.

Differences in glucose transporter gene expression between rat pancreatic alpha- and beta-cells are correlated to differences in glucose transport but not in glucose utilization.

Glucose exerts inverse effects upon the secretory function of islet alpha- and beta-cells, suppressing glucagon release and increasing insulin release. This diverse action may result from differences in glucose transport and metabolism between the two cell types. The present study compares glucose transport in rat alpha- and beta-cells. beta-Cells transcribed GLUT2 and, to a lesser extent, GLUT 1; alpha-cells contained GLUT1 but no GLUT2 mRNA. No other GLUT-like sequences were found among cDNAs from alpha- or beta-cells. Both cell types expressed 43-kDa GLUT1 protein which was enhanced by culture. The 62-kDa beta-cell GLUT2 protein was converted to a 58-kDa protein after trypsin treatment of the cells without detectable consequences upon glucose transport kinetics. In beta-cells, the rates of glucose transport were 10-fold higher than in alpha-cells. In both cell types, glucose uptake exceeded the rates of glucose utilization by a factor of 10 or more. Glycolytic flux, measured as D-[5(3)H]glucose utilization, was comparable in alpha- and beta-cells between 1 and 10 mmol/liter substrate. In conclusion, differences in glucose transporter gene expression between alpha- and beta-cells can be correlated with differences in glucose transport kinetics but not with different glucose utilization rates.

Diffusive transport in spatially periodic hydrodynamic flows

We calculate the effective diffusion coefficient in convective flows which are well described by one spatial mode. We use an expansion in the distance from onset and homogenization methods to obtain an explicit expression for the transport coefficient. We find that spatially periodic fluid flow enhances the molecular diffusion D by a term proportional to D-1. This enhancement should be easy to observe in experiments, since D is a small number.

Early parenteral lipids and growth velocity in extremely-low-birth-weight infants.

BACKGROUND & AIMS: Whether early parenteral lipids improve postnatal growth of preterm neonates remains unclear. We aimed to assess the effects of parenteral lipids on growth velocity in extremely-low-birth-weight infants. METHODS: This retrospective cohort study included 121 extremely-low-birth-weight infants. The associations between parenteral lipids (cumulative intakes during the first week and delays in their introduction) and growth velocities (weight, head circumference and length) up to 28 days of life and to 36 weeks of corrected age were analysed using uni- and multivariate linear regression. RESULTS: Univariate analyses showed a significant positive association between the cumulative intakes of parenteral lipids during the first week and i) weight gain up to day 28; ii) weight gain up to 36 weeks of corrected age; iii) head circumference growth up to day 28. There was a negative correlation between the delay in parenteral lipid introduction and weight gain up to day 28. In multivariate analyses, the association between the cumulative intakes of parenteral lipids and weight gain up to 28 days was independent of gestational age at birth, birth weight, sex, smallness for gestational age, and enteral intakes (regression coefficient: 0.19; 95% CI: 0.01-0.38) and, up to 36 weeks, independent of gestational age, birth weight, sex, smallness for gestational age and parenteral glucose and amino acids (0.16; 95% CI: 0.04-0.27). CONCLUSIONS: Parenteral lipids during the first week were positively associated with weight gain in extremely-low-birth-weight infants and could improve early nutritional support of preterm neonates.