Entropic transport in confined media: a challenge for computational studies in biological and soft-matter systems

Transport in small-scale biological and soft-matter systems typically occurs under confinement conditions in which particles proceed through obstacles and irregularities of the boundaries that may significantly alter their trajectories. A transport model that assimilates the confinement to the presence of entropic barriers provides an efficient approach to quantify its effect on the particle current and the diffusion coefficient. We review the main peculiarities of entropic transport and treat two cases in which confinement effects play a crucial role, with the appearance of emergent properties. The presence of entropic barriers modifies the mean first-passage time distribution and therefore plays a very important role in ion transport through micro- and nano-channels. The functionality of molecular motors, modeled as Brownian ratchets, is strongly affected when the motor proceeds in a confined medium that may constitute another source of rectification. The interplay between ratchet and entropic rectification gives rise to a wide variety of dynamical behaviors, not observed when the Brownian motor proceeds in an unbounded medium. Entropic transport offers new venues of transport control and particle manipulation and new ways to engineer more efficient devices for transport at the nanoscale.

Influence of the pseudopotential on the properties of liquid rubidium at 315 K

The influence of the pseudopotential on both the structure and the self-diffusion of liquid rubidium at the melting point has been investigated by means of molecular-dynamics calculations. The model potential considered has been computed from the pseudopotential of Ashcroft, the dielectric function of Geldart and Vosko, and a Born-Mayer term. Four different values for the core radius which enters as input in the pseudopotential have been considered. In this way we have been able to observe and interpret the effect of this contribution on the properties of the liquid.

Mechanisms of garnet growth in eclogites of the Zermatt-Saas Fee unit, Western Alps

THESIS ABSTRACT Garnets are one of the key metamorphic minerals used to study peak metamorphic conditions or crystallization ages. Equilibrium is typically assumed between the garnet and the matrix. This thesis attempts to understand garnet growth in the Zermatt-Saas Fee (ZSF) eclogites, and discusses consequences for Sm/Nd and Lu/Hf dating and the equilibrium assumption. All studied garnets from the ZSF eclogites are strongly zoned in Mn, Fe, Mg, and Ca. Methods based on chemical zoning patterns and on 3D spatial statistics indicate different growth mechanisms depending on the sample studied. Garnets from the Pfulwe area are grown in a system where surface kinetics likely dominated over intergranular diffusion kinetics. Garnets fram two other localities, Nuarsax and Lago di Cignana, seem to have grown in a system where intergranular diffusion kinetics were dominating over surface kinetics, at least during initial growth. Garnets reveal strong prograde REE+Y zoning. They contain narrow central peaks for Lu + Yb + Tm ± Er and at least one additional small peak towards the rim. The REE Sm + Eu + Gd + Tb ± Dy are depleted in the cores but show one prominent peak close to the rim. It is shown that these patterns cam be explained using a transient matrix diffusion model where REE uptake is limited by diffusion in the matrix surrounding the porphyroblast. The secondary peaks in the garnet profiles are interpreted to reflect thermally activated diffusion due to a temperature increase during prograde metamorphism. The model predicts anomalously low 176Lu/177Hf and 147Sm/144Nd ratios in garnets where growth rates are fast compared to diffusion of the REE, which decreases garnet isochron precisions. The sharp Lu zoning was further used to constrain maximum Lu volume diffusion rates in garnet. The modeled minimum pre-exponential diffusion coefficient which fits the measured central peak is in the order of Do = 5.7* 106 m2/s, taking an activation energy of 270 kJ/mol. The latter was chosen in agreement with experimentally determined values. This can be used to estimate a minimum closure temperature of around 630°C for the ZSF zone. Zoning of REE was combined with published Lu/Hf and Sm/Nd age information to redefine the prograde crystallization interval for Lago di Cignana UHP eclogites. Modeling revealed that a prograde growth interval in the order of 25 m.y. is needed to produce the measured spread in ages. RÉSUMÉ Le grenat est un minéral métamorphique clé pour déterminer les conditions du pic de métamorphisme ainsi que l'âge de cristallisation. L'équilibre entre le grenat et la matrice est requis. Cette étude a pour but de comprendre la croissance du grenat dans les éclogites de la zone de Zermatt-Saas Fee (ZSF) et d'examiner quelques conséquences sur les datations Sm/Nd et Lu/Hf. Tous les grenats des éclogites de ZSF étudiés sont fortement zonés en Mn, Fe, Mg et partiellement en Ca. Les différentes méthodes basées sur le modèle de zonation chimique ainsi que sur les statistiques de répartition spatiale en 3D indiquent un mécanisme de croissance différent en fonction de la localité d'échantillonnage. Les grenats provenant de la zone de Pfulwe ont probablement crû dans un système principalement dominé par la cinétique de surface au détriment de 1a cinétique de diffusion intergranulaire. Les grenats provenant de deux autres localités, Nuarsax et Lago di Cignana, semblent avoir cristallisé dans un système dominé par la diffusion intergranulaire, au moins durant les premiers stades de croissance. Les grenats montrent une forte zonation prograde en Terres Rares (REE) ainsi qu'en Y. Les profils présentent au coeur un pic étroit en Lu + Yb+ Tm ± Er et au moins un petit pic supplémentaire vers le bord. Les coeurs des grenats sont appauvris en Sm + Eu + Gd + Tb ± Dy, mais les bords sont marqués par un pic important de ces REE. Ces profils s'expliquent par un modèle de diffusion matricielle dans lequel l'apport en REE est limité par la diffusion dans la matrice environnant les porphyroblastes. Les pics secondaires en bordure de grain reflètent la diffusion activée par l'augmentation de la température lors du métamorphisme prograde. Ce modèle prédit des rapports 176Lu/177Hf et 147Sm/144Nd anormalement bas lorsque les taux de croissance sont plus rapides que la diffusion des REE, ce qui diminue la précision des isochrones impliquant le grenat. La zonation nette en Lu a permis de contraindre le maximum de diffusion volumique par une approche numérique. Le coefficient de diffusion minimum modélisé en adéquation avec les pics mesurés est de l'ordre de Do = 5.7*10-6 m2/s, en prenant une énergie d'activation ~270 kJ/mol déterminée expérimentalement. Ainsi, la température de clôture minimale est estimée aux alentours de 630°C pour la zone ZSF. Des nouvelles données de zonation de REE sont combinées aux âges obtenus avec les rapports Lu/Hf et Sm/Nd qui redéfissent l'intervalle de cristallisation prograde pour les éclogites UHP de Lago di Cignana. La modélisation permet d'attribuer au minimum un intervalle de croissance prograde de 25 Ma afin d'obtenir les âges préalablement mesurés. RESUME GRAND PUBLIC L'un des principaux buts du pétrologue .métamorphique est d'extraire des roches les informations sur l'évolution temporelle, thermique et barométrique qu'elles ont subi au cours de la formation d'une chaîne de montagne. Le grenat est l'un des minéraux clés dans une grande variété de roches métamorphiques. Il a fait l'objet de nombreuses études dans des terrains d'origines variées ou lors d'études expérimentales afin de comprendre ses domaines de stabilité, ses réactions et sa coexistence avec d'autres minéraux. Cela fait du grenat l'un des minéraux les plus attractifs pour la datation des roches. Cependant, lorsqu'on l'utilise pour la datation et/ou pour la géothermobarométrie, on suppose toujours que le grenat croît en équilibre avec les phases coexistantes de la matrice. Pourtant, la croissance d'un minéral est en général liée au processus de déséquilibre. Cette étude a pour but de comprendre comment croît le grenat dans les éclogites de Zermatt - Saas Fee et donc d'évaluer le degré de déséquilibre. Il s'agit aussi d'expliquer les différences d'âges obtenues grâce aux grenats dans les différentes localités de l'unité de Zermatt-Saas Fee. La principale question posée lors de l'étude des mécanismes de croissance du grenat est: Parmi les processus en jeu lors de la croissance du grenat (dissolution des anciens minéraux, transport des éléments vers le nouveau grenat, précipitation d'une nouvelle couche en surface du minéral), lequel est le plus lent et ainsi détermine le degré de déséquilibre? En effet, les grenats d'une des localités (Pfulwe) indiquent que le phénomène d'adhérence en surface est le plus lent, contrairement aux grenats des autres localités (Lago di Cignana, Nuarsax) dans lesquels ce sont les processus de transport qui sont les plus lents. Cela montre que les processus dominants sont variables, même dans des roches similaires de la même unité tectonique. Ceci implique que les processus doivent être déterminés individuellement pour chaque roche afin d'évaluer le degré de déséquilibre du grenat dans la roche. Tous les grenats analysés présentent au coeur une forte concentration de Terres Rares: Lu + Yb + Tm ± Er qui décroît vers le bord du grain. Inversement, les Terres Rares Sm + Eu + Gd + Tb ± Dy sont appauvries au coeur et se concentrent en bordure du grain. La modélisation révèle que ces profils sont-dus à des cinétiques lentes de transport des Terres Rares. De plus, les modèles prédisent des concentrations basses en éléments radiogéniques pères dans certaines roches, ce qui influence fortement sur la précision des âges obtenus par la méthode d'isochrone. Ceci signifie que les roches les plus adaptées pour les datations ne doivent contenir ni beaucoup de grenat ni de très gros cristaux, car dans ce cas, la compétition des éléments entre les cristaux limite à de faibles concentrations la quantité d'éléments pères dans chaque cristal.

First-passage and escape problems in the Feller process

The Feller process is an one-dimensional diffusion process with linear drift and state-dependent diffusion coefficient vanishing at the origin. The process is positive definite and it is this property along with its linear character that have made Feller process a convenient candidate for the modeling of a number of phenomena ranging from single-neuron firing to volatility of financial assets. While general properties of the process have long been well known, less known are properties related to level crossing such as the first-passage and the escape problems. In this work we thoroughly address these questions.

Poly(butylene terephthalate-co-5-tert-butyl isophthalate) Copolyesters: Synthesis, Characterization and Properties

A series of poly(butylene terephthalate) copolyesters containing 5-tert-butyl isophthalate units up to 50%-mole, as well as the homopolyester entirely made of these units, were prepared by polycondensation from the melt. The microstructure of the copolymers was determined by NMR to be at random for the whole range of compositions. The effect exerted by the 5-tert-butyl isophthalate units on thermal, tensile and gas transport properties was evaluated. Both Tm and crystallinity as well as the mechanical moduli were found to decrease steadily with copolymerization whereas Tg increased and the polyesters became more brittle. Permeability and solubility sligthly increased also with the content in substituted units whereas the diffusion coefficient remained practically constant. For the homopolyester poly(5-tert-butyl isophthalate), all these properties were found to deviate significantly from the general trend displayed by copolyesters suggesting that a different chain mode of packing in the amorphous phase is likely adopted in this case.

Application of intravoxel incoherent motion perfusion imaging to shoulder muscles after a lift-off test of varying duration.

Intravoxel incoherent motion (IVIM) MRI is a method to extract microvascular blood flow information out of diffusion-weighted images acquired at multiple b-values. We hypothesized that IVIM can identify the muscles selectively involved in a specific task, by measuring changes in activity-induced local muscular perfusion after exercise. We tested this hypothesis using a widely used clinical maneuver, the lift-off test, which is known to assess specifically the subscapularis muscle functional integrity. Twelve shoulders from six healthy male volunteers were imaged at 3 T, at rest, as well as after a lift-off test hold against resistance for 30 s, 1 and 2 min respectively, in three independent sessions. IVIM parameters, consisting of perfusion fraction (f), diffusion coefficient (D), pseudo-diffusion coefficient D* and blood flow-related fD*, were estimated within outlined muscles of the rotator cuff and the deltoid bundles. The mean values at rest and after the lift-off tests were compared in each muscle using a one-way ANOVA. A statistically significant increase in fD* was measured in the subscapularis, after a lift-off test of any duration, as well as in D. A fD* increase was the most marked (30 s, +103%; 1 min, +130%; 2 min, +156%) and was gradual with the duration of the test (in 10(-3) mm(2) /s: rest, 1.41 ± 0.50; 30 s, 2.86 ± 1.17; 1 min, 3.23 ± 1.22; 2 min, 3.60 ± 1.21). A significant increase in fD* and D was also visible in the posterior bundle of the deltoid. No significant change was consistently visible in the other investigated muscles of the rotator cuff and the other bundles of the deltoid. In conclusion, IVIM fD* allows the demonstration of a task-related microvascular perfusion increase after a specific task and suggests a direct relationship between microvascular perfusion and the duration of the effort. It is a promising method to investigate non-invasively skeletal muscle physiology and clinical perfusion-related muscular disorders.

Caracterização e propriedades catalíticas da zeolita HZSM5 modificada com nióbio

HZSM5 zeolite was modified by exchanging proton by niobium (V). Several samples were obtained with various degrees of exchange. Pore volumes and acidity were measured to characterize these exchanged zeolites. Catalytic properties were evaluated with two reaction tests: m-xylene transformation and n-heptane cracking. The introduction of niobium on HZSM5 zeolite decreases the diffusion coefficient of 2-methyl-pentane and increases the zeolite acidity. The sample containing niobium are initially more active in cracking of n-heptane and m-xylene isomerization than HZSM5 alone.

Accounting for adsorption and desorption in Lattice Boltzmann simulations

We report a Lattice-Boltzmann scheme that accounts for adsorption and desorption in the calculation of mesoscale dynamical properties of tracers in media of arbitrary complexity. Lattice Boltzmann simulations made it possible to solve numerically the coupled Navier-Stokes equations of fluid dynamics and Nernst-Planck equations of electrokinetics in complex, heterogeneous media. With the moment propagation scheme, it became possible to extract the effective diffusion and dispersion coefficients of tracers, or solutes, of any charge, e.g., in porous media. Nevertheless, the dynamical properties of tracers depend on the tracer-surface affinity, which is not purely electrostatic and also includes a species-specific contribution. In order to capture this important feature, we introduce specific adsorption and desorption processes in a lattice Boltzmann scheme through a modified moment propagation algorithm, in which tracers may adsorb and desorb from surfaces through kinetic reaction rates. The method is validated on exact results for pure diffusion and diffusion-advection in Poiseuille flows in a simple geometry. We finally illustrate the importance of taking such processes into account in the time-dependent diffusion coefficient in a more complex porous medium.

Desenvolvimento e aplicação de células eletroquímicas em camada delgada

Theoretical and practical aspects concerning construction and use of a thin layer electrochemical cell are presented. Construction was realized by a simple technic and geometry was optimized in order to minimize the problems of electrical resistance. A well known redox system was studied ((Fe(III)(CN)6(3-)/Fe(II)(CN) 6(4-)) using two experimental methods, cyclic voltammetry and pulse chronopotentiometry. A numerical integration based-program was developed to calculate the voltammetric current in case of nernstian and non-nernstian behaviours and a diffusional model was used to treat the chronopotentiometric data. Thermodynamic (potential, concentration) and kinetic parameters (diffusion coefficient) were successfully determined for the redox system studied in this work.

Antenatal inflammation and brain pathology in preterm infants

Chorioamnionitis is known to be an important risk factor underlying preterm delivery, and it has also been suggested to associate with brain lesions and deviant neurological development in both preterm and term infants. Cytokines are believed to be the link causing the deleterious effects of inflammation to the nervous system. Their genetic regulation has also been suggested to play a role, as interleukin (IL)-6 -174 and -572 genotypes, which partly regulate IL-6 synthesis responses, have been connected with deviant neurological development in preterm infants. We evaluated the association of histological chorioamnionitis with brain lesions, regional brain volumes, and the functioning of the auditory pathway in very low birth weight/very low gestational age (VLBW/VLGA) infants. In addition, we investigated the association between IL-6 -174 and -572 genotypes and histological chorioamnionitis, neonatal infections, and brain lesions and regional brain volumes in VLBW/VLGA infants. This study is a part of a larger multidisciplinary project PIPARI (Development and Functioning of Very Low Birth Weight Infants from Infancy to School Age), in which the survivors of a 6-year cohort of VLBW/VLGA infants (n=274) are being followed until school age in Turku University Central Hospital, Finland. Placental samples were collected in the delivery room, and were analyzed for histological inflammatory findings. Blood samples from the infants were collected and DNA was genotyped for IL-6-174 and -572 polymorphisms (GG/GC/CC). Brain ultrasound examinations were performed repeatedly in the neonatal intensive care unit and at term age, and were analysed for structural brain lesions. Brain magnetic resonance imaging was performed at term age, and was analysed for regional brain volumes. In addition, diffusion tensor imaging was performed at term, and was used to analyse fractional anisotrophy and the apparent diffusion coefficient of inferior colliculus. The brainstem auditory evoked potential recordings were carried out according to the routine clinical procedure at median age of 30 days after term age. In our study, we found that histological chorioamnionitis was not an independent risk factor for brain lesions, reduced regional brain volumes or abnormal functioning of the auditory pathway in VLBW/VLGA infants. In addition, we found that IL-6 -174 GG and -572 GC genotypes were associated with a higher incidence of histological chorioamnionitis, and that -174 CC genotype associated with higher incidence of septicaemia. The analysed IL-6 genotypes were not associated with other brain lesions, but a reduced volume of basal ganglia and thalami was associated with IL-6 -174 CC and -572 GG genotypes. In conclusion, our findings suggest that histological chorioamnionitis is not an independent risk factor for the brain development of VLBW/VLGA infants, or that the risk caused by inflammation does not exceed the risks attributed to other underlying pathologies behind preterm deliveries. In addition, our findings give reason to propose that IL-6 promoter genotypes have a role in the defence against serious infections and in the brain development of VLBW/VLGA infants.

Correlação entre parâmetros da cinética de intumescimento com características estruturais e hidrofílicas de hidrogéis de poliacrilamida e metilcelulose

In this paper, the effects of acrylamide (AAm), methylcellulose (MC) contents, pH and ionic strength on kinetic, network and hydrophilic properties of polyacrylamide and methylcellulose hydrogels were investigated. The hydrogels were characterized by evaluating of network [average molecular weight between crosslinks (M C), crosslink density (q) and the number of elastically effective chains (Ve)], and kinetic parameters [diffusional exponent (n), diffusion constant (k) and diffusion coefficient (D)]. Such properties were controlled by adjusting of the AAm, MC contents, pH and ionic strength factors. Due to high hydrophilicity and fast water-uptake, the PAAm-MC hydrogels can be considered as materials for potential applications in agricultural fields, mainly in controlled release of water or pesticides.

Kinetic study of the cobalt electrodeposition onto glassy carbon electrode from ammonium sulfate solutions

We carried out an electrochemical study of the cobalt electrodeposition onto glassy carbon electrode from an aqueous solution containing 10-2 M of CoSO4 + 1 M (NH4)2SO4 at natural pH 4.5. The potentiostatic study indicated a progressive 3D nucleation and growth during the deposition process. The average diffusion coefficient calculated for this system was 2.65 X 10-6 cm² s-1 while the ΔG for the formation of stable nucleus was 6.50 X 10-20 J/nuclei. The scanning electron microscopy images indicated the formation of small and homogeneous nucleus onto GCE of approximately 300 nm.

MICROESTRUTURA E PROPRIEDADES DE FILMES DE AMIDO-ÁLCOOL POLIVINÍLICO-ALGINATO ADICIONADOS DE ÓLEOS ESSENCIAIS DE COPAÍBA E CAPIM LIMÃO

AbstractFilms obtained by blends between starch and other polymers and films developed with the addition of an oil can show higher water vapor barriers and improved mechanical properties. Films with starch/PVOH/alginate were obtained by adding copaiba and lemongrass essential oils (EOs). Films without oil served as the control. The microstructure, water vapor permeability (PVA), mechanical properties, and antifungal activity were determined for the films. The effects of the addition of the EOs on the properties of the films were dependent of the concentration and type of oil. The films with 0.5% lemongrass EO were similar to the control films. These films showed a 2.02 × 10-12 g s-1Pa m-1 PVA, 11.43 MPa tensile stress, 13.23% elongation, and 247.95 MPa/mm resistance at perforation. The addition of 1% of copaiba EO increased the PVA from 0.5 × 10-12 to 12.1 × 10-12 g s-1 Pa m-1 and the diffusion coefficient from 0.17 × 10-8 to 7.15 × 10-8m2/day. Films with quantities of EOs displayed fissures and micropores; the control films developed micropores with smaller diameters than films with EOs. The addition of EOs did not change the resulting infrared spectrum of the films. The films with oil displayed a diminished development of the Fusarium sp. culture, and the film without EOs did not display notable differences in the development of the culture. The starch/PVOH/alginate films with 0.5% lemongrass EO were the most suited for the development of a packaging active system.

Magnetic Resocance Imaging Methods in the Follow-up of Multiple Sclerosis and in Farby Disease

Multiple sclerosis (MS) is a chronic immune-mediated inflammatory disorder of the central nervous system. MS is the most common disabling central nervous system (CNS) disease of young adults in the Western world. In Finland, the prevalence of MS ranges between 1/1000 and 2/1000 in different areas. Fabry disease (FD) is a rare hereditary metabolic disease due to mutation in a single gene coding α-galactosidase A (alpha-gal A) enzyme. It leads to multi-organ pathology, including cerebrovascular disease. Currently there are 44 patients with diagnosed FD in Finland. Magnetic resonance imaging (MRI) is commonly used in the diagnostics and follow-up of these diseases. The disease activity can be demonstrated by occurrence of new or Gadolinium (Gd)-enhancing lesions in routine studies. Diffusion-weighted imaging (DWI) and diffusion tensor imaging (DTI) are advanced MR sequences which can reveal pathologies in brain regions which appear normal on conventional MR images in several CNS diseases. The main focus in this study was to reveal whether whole brain apparent diffusion coefficient (ADC) analysis can be used to demonstrate MS disease activity. MS patients were investigated before and after delivery and before and after initiation of diseasemodifying treatment (DMT). In FD, DTI was used to reveal possible microstructural alterations at early timepoints when excessive signs of cerebrovascular disease are not yet visible in conventional MR sequences. Our clinical and MRI findings at 1.5T indicated that post-partum activation of the disease is an early and common phenomenon amongst mothers with MS. MRI seems to be a more sensitive method for assessing MS disease activity than the recording of relapses. However, whole brain ADC histogram analysis is of limited value in the follow-up of inflammatory conditions in a pregnancy-related setting because the pregnancy-related physiological effects on ADC overwhelm the alterations in ADC associated with MS pathology in brain tissue areas which appear normal on conventional MRI sequences. DTI reveals signs of microstructural damage in brain white matter of FD patients before excessive white matter lesion load can be observed on conventional MR scans. DTI could offer a valuable tool for monitoring the possible effects of enzyme replacement therapy in FD.

Kelvin Probe Force Microscopy (KPFM) characterization of lanthanum lutetium oxide high-k dielectric thin films

Lanthanum lutetium oxide (LaLuO3) thin films were investigated considering their perspective application for industrial microelectronics. Scanning probe microscopy (SPM) techniques permitted to visualize the surface topography and study the electric properties. This work compared both the material properties (charge behavior for samples of 6 nm and 25 nm width) and the applied SPM modes. Particularly, Kelvin probe force microscopy (KPFM) was applied to characterize local potential difference with high lateral resolution. Measurements showed the difference in morphology, chargeability and charge dissipation time for both samples. The polarity effect was detected for this material for the first time. Lateral spreading of the charged spots indicate the diffusive mechanism to be predominant in charge dissipation. This allowed to estimate the diffusion coefficient and mobility. Using simple electrostatic model it was found that charge is partly leaking into the interface oxide layer.