Internal and external fluctuations around nonequilibrium steady states in one-dimensional heat-conduction problems

Thermal fluctuations around inhomogeneous nonequilibrium steady states of one-dimensional rigid heat conductors are analyzed in the framework of generalized fluctuating hydrodynamics. The effect of an external source of noise is also considered. External fluctuations come from temperature and position fluctuations of the source. Contributions of each kind of noise to the temperature correlation function are computed and compared through the study of its asymptotic behavior.

Influence of hydrodynamic interactions on the adsoption process of large particles

We have studied the adsorption process of non-Brownian particles on a line. Our work differs from previously proposed models in that we have incorporated hydrodynamic interactions between the incoming particles and the preadsorbed particles as well as the surface. We then numerically analyze the effect of these interactions on quantities related to the adsorption process. Comparing our model to the ballistic deposition model (BM) shows a significant discrepancy in the pair correlation function. These results can explain some differences between recent experiments and BM predictions. Finally, the limitations of the applicability of BM are addressed.

Clustering in complex networks. I. General formalism

We develop a full theoretical approach to clustering in complex networks. A key concept is introduced, the edge multiplicity, that measures the number of triangles passing through an edge. This quantity extends the clustering coefficient in that it involves the properties of two¿and not just one¿vertices. The formalism is completed with the definition of a three-vertex correlation function, which is the fundamental quantity describing the properties of clustered networks. The formalism suggests different metrics that are able to thoroughly characterize transitive relations. A rigorous analysis of several real networks, which makes use of this formalism and the metrics, is also provided. It is also found that clustered networks can be classified into two main groups: the weak and the strong transitivity classes. In the first class, edge multiplicity is small, with triangles being disjoint. In the second class, edge multiplicity is high and so triangles share many edges. As we shall see in the following paper, the class a network belongs to has strong implications in its percolation properties.

Free inertial processes driven by Gaussian noise: Probability distributions, anomalous diffusion and fractal behavior

We study the motion of an unbound particle under the influence of a random force modeled as Gaussian colored noise with an arbitrary correlation function. We derive exact equations for the joint and marginal probability density functions and find the associated solutions. We analyze in detail anomalous diffusion behaviors along with the fractal structure of the trajectories of the particle and explore possible connections between dynamical exponents of the variance and the fractal dimension of the trajectories.

Long-range correlations in diffusive systems away from equilibrium

We study the dynamics of density fluctuations in purely diffusive systems away from equilibrium. Under some conditions the static density correlation function becomes long ranged. We then analyze this behavior in the framework of nonequilibrium fluctuating hydrodynamics.

Velocity cross-correlations and atomic momentum transfer in simple liquids with different potential cores

Time correlation functions between the velocity of a tagged particle and velocities of particles within specified ranges of initial separations have been obtained by molecular dynamics simulation. These correlation functions have allowed us to analyze the momentum transfer between particles in different coordination shells. Two simple liquids at very different densities and two purely repulsive potentials with very different softnesses have been considered. The longitudinal correlations, which are the velocity cross-correlations along the initial direction defined by the centers of two given particles, have been calculated separately. It has been proven that these correlations should be attributed to particles both in front of and behind the central one. As with propagating longitudinal modes, they are strongly dependent on the softness of the potential core. Some characteristic features of the velocity correlation functions after the initial rise should be related to nonlongitudinal correlations. It has been shown that velocity cross-correlations between distinct particles cannot only be attributed to the direct interactions among particles, but also to the motions induced by the movement of a tagged particle on their neighbors.

Structural disorder in two-dimensional random magnets: Very thin films of rare earths and transition metals

The low-temperature isothermal magnetization curves, M(H), of SmCo4 and Fe3Tb thin films are studied according to the two-dimensional correlated spin-glass model of Chudnovsky. We have calculated the magnetization law in approach to saturation and shown that the M(H) data fit well the theory at high and low fields. In our fit procedure we have used three different correlation functions. The Gaussian decay correlation function fits well the experimental data for both samples.

Nonequilibrium patterns and shape fluctuations in reactive membranes

A simple kinetic model of a two-component deformable and reactive bilayer is presented. The two differently shaped components are interconverted by a nonequilibrium reaction, and a phenomenological coupling between local composition and curvature is proposed. When the two components are not miscible, linear stability analysis predicts, and numerical simulations show, the formation of stationary nonequilibrium composition/curvature patterns whose typical size is determined by the reactive process. For miscible components, a linearization of the dynamic equations is performed in order to evaluate the correlation function for shape fluctuations from which the behavior of these systems in micropipet aspiration experiments can be predicted.

Aggregation under a forced convective flow

Morphological transitions are analyzed for a radial multiparticle diffusion-limited aggregation process grown under a convective drift. The introduction of a tangential flow changes the morphology of the diffusion-limited structure, into multiarm structures, inclined opposite to the flow, whose limit consists of single arms, when decreasing density. The case of shear flow is also considered. The anisotropy of the patterns is characterized in terms of a tangential correlation function based analysis. Comparison between the simulation results and preliminary experimental results has been done.

Cambios en los cuidadores informales en cuanto a estilos de vida, relaciones y alteraciones de salud mental

Changes in the informal caregiver life styles, relations and alterations of mental health. Justification.The increase of the population aged 65 years and older in developed countries is generating a proportional increasing of the dependency caused by chronic pathologies. The care of these persons is being carried out by relatives, informal carers, leading to some alterations in diverse areas, among them mental alterations, as a consequence of taking care. Objectives. To develop a profile of the informal carers and to correlate the caregiver burden with the carers disorders. To detect risk factors to allow carrying out premature nursing interventions to diminish the disorders in the informal carers. Design. An observational and cross-sectional study is made in primary care health services area of the city of Girona. Methodology. Random sample of carer of dependent people at their home , assigned to the program of domiciliary attention (ATDOM) of the educational basic areas of health (ABS). A sample size of 269 persons, with a level of precision of 9% was needed. Questionnaire ICUB 97, the test of Barthel, the Philadelphia Geriatric Center scale, and a questionnaire are used as instruments that includes demographic and social variables, and mental and physical carers disorders.Results. A total of 80 participants were interviewed. The most common problems as consequence of taking care were the backache, to feel more tired, to feel impotent and to have less free time. Correlation between the level of dependence of the patient with the number of problems perceived by the caretaker does not exist. Since they are informal carers they eat frequently outside the habitual schedule, took place an increase or loss of weight, experienced more disorders in sexual life and an increasing lack of interest in surroundings. A 33% of the informal carers are being treated for problems related to the mental health.Conclusion. The fact of being informal carer carries important consequences in their health, the lifestyles and the social relations. These can be attenuated if the nursing interventions are able to consider to the well-taken care of subject, and its surroundings in an holistic way. The professionals of infirmary of mental health must contribute to their knowledge and abilities contributing to make an assessment, a diagnosis and an intervention paying special attention to psycho-social aspects mentioned

Cambios en los cuidadores informales en cuanto a estilos de vida, relaciones y alteraciones de salud mental

Changes in the informal caregiver life styles, relations and alterations of mental health. Justification.The increase of the population aged 65 years and older in developed countries is generating a proportional increasing of the dependency caused by chronic pathologies. The care of these persons is being carried out by relatives, informal carers, leading to some alterations in diverse areas, among them mental alterations, as a consequence of taking care. Objectives. To develop a profile of the informal carers and to correlate the caregiver burden with the carers disorders. To detect risk factors to allow carrying out premature nursing interventions to diminish the disorders in the informal carers. Design. An observational and cross-sectional study is made in primary care health services area of the city of Girona. Methodology. Random sample of carer of dependent people at their home , assigned to the program of domiciliary attention (ATDOM) of the educational basic areas of health (ABS). A sample size of 269 persons, with a level of precision of 9% was needed. Questionnaire ICUB 97, the test of Barthel, the Philadelphia Geriatric Center scale, and a questionnaire are used as instruments that includes demographic and social variables, and mental and physical carers disorders.Results. A total of 80 participants were interviewed. The most common problems as consequence of taking care were the backache, to feel more tired, to feel impotent and to have less free time. Correlation between the level of dependence of the patient with the number of problems perceived by the caretaker does not exist. Since they are informal carers they eat frequently outside the habitual schedule, took place an increase or loss of weight, experienced more disorders in sexual life and an increasing lack of interest in surroundings. A 33% of the informal carers are being treated for problems related to the mental health.Conclusion. The fact of being informal carer carries important consequences in their health, the lifestyles and the social relations. These can be attenuated if the nursing interventions are able to consider to the well-taken care of subject, and its surroundings in an holistic way. The professionals of infirmary of mental health must contribute to their knowledge and abilities contributing to make an assessment, a diagnosis and an intervention paying special attention to psycho-social aspects mentioned

Robust Nonlinear Mapping of Soil Contamination Using Support Regression

Spatial data analysis mapping and visualization is of great importance in various fields: environment, pollution, natural hazards and risks, epidemiology, spatial econometrics, etc. A basic task of spatial mapping is to make predictions based on some empirical data (measurements). A number of state-of-the-art methods can be used for the task: deterministic interpolations, methods of geostatistics: the family of kriging estimators (Deutsch and Journel, 1997), machine learning algorithms such as artificial neural networks (ANN) of different architectures, hybrid ANN-geostatistics models (Kanevski and Maignan, 2004; Kanevski et al., 1996), etc. All the methods mentioned above can be used for solving the problem of spatial data mapping. Environmental empirical data are always contaminated/corrupted by noise, and often with noise of unknown nature. That's one of the reasons why deterministic models can be inconsistent, since they treat the measurements as values of some unknown function that should be interpolated. Kriging estimators treat the measurements as the realization of some spatial randomn process. To obtain the estimation with kriging one has to model the spatial structure of the data: spatial correlation function or (semi-)variogram. This task can be complicated if there is not sufficient number of measurements and variogram is sensitive to outliers and extremes. ANN is a powerful tool, but it also suffers from the number of reasons. of a special type ? multiplayer perceptrons ? are often used as a detrending tool in hybrid (ANN+geostatistics) models (Kanevski and Maignank, 2004). Therefore, development and adaptation of the method that would be nonlinear and robust to noise in measurements, would deal with the small empirical datasets and which has solid mathematical background is of great importance. The present paper deals with such model, based on Statistical Learning Theory (SLT) - Support Vector Regression. SLT is a general mathematical framework devoted to the problem of estimation of the dependencies from empirical data (Hastie et al, 2004; Vapnik, 1998). SLT models for classification - Support Vector Machines - have shown good results on different machine learning tasks. The results of SVM classification of spatial data are also promising (Kanevski et al, 2002). The properties of SVM for regression - Support Vector Regression (SVR) are less studied. First results of the application of SVR for spatial mapping of physical quantities were obtained by the authorsin for mapping of medium porosity (Kanevski et al, 1999), and for mapping of radioactively contaminated territories (Kanevski and Canu, 2000). The present paper is devoted to further understanding of the properties of SVR model for spatial data analysis and mapping. Detailed description of the SVR theory can be found in (Cristianini and Shawe-Taylor, 2000; Smola, 1996) and basic equations for the nonlinear modeling are given in section 2. Section 3 discusses the application of SVR for spatial data mapping on the real case study - soil pollution by Cs137 radionuclide. Section 4 discusses the properties of the modelapplied to noised data or data with outliers.

Amplitude envelope synchronization in coupled chaotic oscillators.

A peculiar type of synchronization has been found when two Van der PolDuffing oscillators, evolving in different chaotic attractors, are coupled. As the coupling increases, the frequencies of the two oscillators remain different, while a synchronized modulation of the amplitudes of a signal of each system develops, and a null Lyapunov exponent of the uncoupled systems becomes negative and gradually larger in absolute value. This phenomenon is characterized by an appropriate correlation function between the returns of the signals, and interpreted in terms of the mutual excitation of new frequencies in the oscillators power spectra. This form of synchronization also occurs in other systems, but it shows up mixed with or screened by other forms of synchronization, as illustrated in this paper by means of the examples of the dynamic behavior observed for three other different models of chaotic oscillators.

Capacity of MIMO Channels: asymptotic evaluation under correlated fading

This paper investigates the asymptotic uniform power allocation capacity of frequency nonselective multiple-inputmultiple-output channels with fading correlation at either thetransmitter or the receiver. We consider the asymptotic situation,where the number of inputs and outputs increase without boundat the same rate. A simple uniparametric model for the fadingcorrelation function is proposed and the asymptotic capacity perantenna is derived in closed form. Although the proposed correlationmodel is introduced only for mathematical convenience, itis shown that its shape is very close to an exponentially decayingcorrelation function. The asymptotic expression obtained providesa simple and yet useful way of relating the actual fadingcorrelation to the asymptotic capacity per antenna from a purelyanalytical point of view. For example, the asymptotic expressionsindicate that fading correlation is more harmful when arising atthe side with less antennas. Moreover, fading correlation does notinfluence the rate of growth of the asymptotic capacity per receiveantenna with high Eb /N0.

Study of the incorporation and the anti-tumour efficacy of radio-iododeoxyuridine according to the cellular cycle and in presence of synthesis inhibitor of thymidine

Résumé La iododeoxyuridine (IdUrd), une fois marqué au 123I ou au 125I, est un agent potentiel pour des thérapies par rayonnements Auger. Cependant, des limitations restreignent son incorporation dans l'ADN. Afin d'augmenter celle-ci, différents groupes ont étudié la fluorodeoxyuridine (FdUrd), qui favorise l'incorporation d'analogue de la thymidine, sans toutefois parvenir à une toxicité associé plus importante. Dans notre approche, 3 lignées cellulaires de glioblastomes humains et une lignée de cancer ovarien ont été utilisées. Nous avons observé, 16 à 24 h après un court pré-traitement à la FdUrd, un fort pourcentage de cellules s'accumulant en phase S. Plus qu'une accumulation, c'était une synchronisation des cellules, celles-ci restant capables d'incorporer la radio-IdIrd et repartant dans le cycle cellulaire. De plus, ces cellules accumulées après un pré-traitement à la FdUrd étaient plus radio-sensibles. Après le même intervalle de 16 à 24 h suivant la FdUrd, les 4 lignées cellulaires ont incorporé des taux plus élevés de radio-IdUrd que sans ce prétraitement. Une corrélation temporelle entre l'accumulation des cellules en phase S et la forte incorporation de radio-IdUrd a ainsi été révélée 16 à 24 h après pré-traitement à la FdUrd. Les expériences de traitement par rayonnements Auger sur les cellules accumulées en phase S ont montré une augmentation significative de l'efficacité thérapeutique de 125I-IdUrd comparé aux cellules non prétraitées à la FdUrd. Une première estimation a permis de déterminer que 100 désintégrations de 125I par cellules étant nécessaires afin d'atteindre l'efficacité thérapeutique. De plus, p53 semble jouer un rôle dans l'induction directe de mort cellulaire après des traitements par rayonnements Auger, comme indiqué par les mesures par FACS d'apoptose et de nécrose 24 et 48 h après le traitement. Concernant les expériences in vivo, nous avons observé une incorporation marquée de la radio-IdUrd dans l'ADN après un pré-traitement à la FdUrd dans un model de carcinomatose ovarienne péritonéale. Une augmentation encore plus importante a été observée après injection intra-tumorale dans des transplants sous-cutanés de glioblastomes sur des souris nues. Ces modèles pourraient être utilisés pour de plus amples études de diffusion de radio-IdUrd et de thérapie par rayonnement Auger. En conclusion, ce travail montre une première application réussie de la FdUrd afin d'accroître l'efficacité de la radio-IdUrd par traitements aux rayonnements Auger. La synchronisation des cellules en phase S combinée avec la forte incorporation de radio-IdUrd dans l'ADN différées après un pré-traitement à la FdUrd ont montré le gain thérapeutique attendu in vitro. De plus, des études in vivo sont tout indiquées après les observations encourageantes d'incorporation de radio-IdUrd dans les models de transplants sous-cutanés de glioblastomes et de tumeurs péritonéales ovariennes. Summary Iododeoxyuridine (IdUrd), labelled with 123I or 125I, could be a potential Auger radiation therapy agent. However, limitations restrict its DNA incorporation in proliferating cells. Therefore, fluorodeoxyuridine (FdUrd), which favours incorporation of thymidine analogues, has been studied by different groups in order to increase radio-IdUrd DNA incorporation, however therapeutic efficacy increase could not be reached. In our approach, 3 human glioblastoma cell lines with different p53 expression and one ovarian cancer line were pre-treated with various FdUrd conditions. We observed a high percentage of cells accumulating in early S phase 16 to 24 h after a short and non-toxic FdUrd pre-treatment. More than an accumulation, this was a synchronization, cells remaining able to incorporate radio-IdUrd and re-entering the cell cycle. Furthermore, the S phase accumulated cells post FdUrd pre-treatment were more radiosensitive. After the same delay of 16 to 24 h post FdUrd pre-treatment, the 4 cell lines were incorporating higher rates of radio-IdUrd compared with untreated cells. A time correlation between S phase accumulation and high radio-IdUrd incorporation was therefore revealed 16 to 24 h post FdUrd pre-treatment. Auger radiation treatment experiments performed on S phase enriched cells showed a significant increase of killing efficacy of 125I-IdUrd compared with cells not pre-treated with FdUrd. A first estimation indicates further that about 100 125I decays were required to reach killing in the targeted cells. Moreover, p53 might play a role on the direct induction of cell death pathways after Auger radiation treatments, as indicated by differential apoptosis and necrosis induction measured by FACS 24 and 48 h after treatment initiation. Concerning in vivo results, we observed a marked DNA incorporation increase of radio-IdUrd after FdUrd pre-treatment in peritoneal carcinomatosis in SCID mice. Even higher incorporation increase was observed after intra-tumoural injection of radio-IdUrd in subcutaneous glioblastoma transplants in nude mice. These tumour models might be further useful for diffusion of radio-IdUrd and Auger radiation therapy studies. In conclusion, these data show a first successful application of thymidine synthesis inhibition able to increase the efficacy of radio-IdUrd Auger radiation treatment. The S phase synchronization combined with a high percentage DNA incorporation of radio-IdUrd delayed post FdUrd pre-treatment provided the expected therapeutic gain in vitro. Further in vivo studies are indicated after the observations of encouraging radio-IdUrd uptake experiments in glioblastoma subcutaneous xenografts and in an ovarian peritoneal carcinomatosis model.