Chains of Infinite Order, Chains with Memory of Variable Length, and Maps of the Interval

We show how to construct a topological Markov map of the interval whose invariant probability measure is the stationary law of a given stochastic chain of infinite order. In particular we characterize the maps corresponding to stochastic chains with memory of variable length. The problem treated here is the converse of the classical construction of the Gibbs formalism for Markov expanding maps of the interval.

Bilayer segmentation of live video in uncontrolled environments for background substitution: an overview and main challenges

Bilayer segmentation of live video in uncontrolled environments is an essential task for home applications in which the original background of the scene must be replaced, as in videochats or traditional videoconference. The main challenge in such conditions is overcome all difficulties in problem-situations (e. g., illumination change, distract events such as element moving in the background and camera shake) that may occur while the video is being captured. This paper presents a survey of segmentation methods for background substitution applications, describes the main concepts and identifies events that may cause errors. Our analysis shows that although robust methods rely on specific devices (multiple cameras or sensors to generate depth maps) which aid the process. In order to achieve the same results using conventional devices (monocular video cameras), most current research relies on energy minimization frameworks, in which temporal and spacial information are probabilistically combined with those of color and contrast.

The infrared fundamental intensities of some cyanopolyynes

Some cyanopolyynes, HCnN (n = 1, 3, ... , 17), are investigated by means of calculations at the MP2/cc-pVTZ and CCSD/cc-pVDZ levels. Although the MP2/cc-pVTZ results for geometries and molecular dipole moments are encouraging, the CCSD/cc-pVDZ level was superior for the study of infrared fundamental intensities. The main bands are also analyzed with a charge-charge flux-dipole flux (CCFDF) partition model based on quantities given by the Quantum Theory of Atoms in Molecules (QTAIM). The intensity of vibrations corresponding to the stretching of CH bonds (3471-3473 cm(-1)) increases in line with the number of carbon atoms (from 61 to 146 km mol(-1) between HCN and HC13N). This increase is due to the charge flux contribution while the other contributions remain roughly unaltered except for HCN. Moreover, the hydrogen atom loses an almost constant amount of electronic charge during the CH bond enlargement and a small fraction of this charge spreads to atoms farther and farther away from hydrogen as the molecule size increases. The band associated with the doubly degenerate CH bending vibrations (643-732 cm(-1)) presents approximately the same intensity in all the studied cyanopolyynes (from 67 to 76 km mol(-1)). The CCFDF/QTAIM contributions are also nearly the same for these bending modes in HC5N and larger systems. The intensity of the mode mostly identified as CN stretching (around 2378-2399 cm(-1) except for HCN) increases from HCN up to HC7N (from 0.3 to 83 km mol(-1)) and nearly stabilizes around 80-90 km mol(-1) for larger systems. The CCFDF/QTAIM contributions for this mode also change significantly up to HC7N and remain almost constant in larger systems. We also observed the appearing of a very relevant band between 2283 and 2342 cm(-1). This mode is mainly associated with the symmetric stretching of CC triple bonds near the molecule center and exhibits large charge fluxes while the other contributions are almost negligible in the largest cyanopolyynes. The two vibrational bands associated with the smallest frequencies are also studied and extrapolation equations are suggested to predict their positions in larger cyanopolyynes. (C) 2012 Elsevier B.V. All rights reserved.

Kinematic distances of pre-main-sequence stars in the Lupus star-forming region

To reliably determine the main physical parameters (masses and ages) of young stars, we must know their distances. While the average distance to nearby star-forming regions (<300 pc) is often known, the distances to individual stars are usually unknown. Individual distances to members of young moving groups can be derived from their radial velocities and proper motions using the convergent-point strategy. We investigate the kinematic properties of the Lupus moving group with the primary objective of deriving individual distances to all group members.

Multiple Island Chains in Primary Resonances.

We analyse the dynamics of a relativistic particle moving in a uniform magnetic field and perturbed by a stationary electrostatic wave. We show that a pulsed wave produces an infinite number of perturbing terms with the same winding number. The perturbation coupling alters the number of island chains as a function of the parameters of the wave. We also observe that the number of chains in is always even if the number of islands in each chain is odd.

Universal behavior of the Shannon mutual information of critical quantum chains

We consider the Shannon mutual information of subsystems of critical quantum chains in their ground states. Our results indicate a universal leading behavior for large subsystem sizes. Moreover, as happens with the entanglement entropy, its finite-size behavior yields the conformal anomaly c of the underlying conformal field theory governing the long-distance physics of the quantum chain. We study analytically a chain of coupled harmonic oscillators and numerically the Q-state Potts models (Q = 2, 3, and 4), the XXZ quantum chain, and the spin-1 Fateev-Zamolodchikov model. The Shannon mutual information is a quantity easily computed, and our results indicate that for relatively small lattice sizes, its finite-size behavior already detects the universality class of quantum critical behavior.

Essays on Bayesian Inference for Social Networks

This thesis presents Bayesian solutions to inference problems for three types of social network data structures: a single observation of a social network, repeated observations on the same social network, and repeated observations on a social network developing through time. A social network is conceived as being a structure consisting of actors and their social interaction with each other. A common conceptualisation of social networks is to let the actors be represented by nodes in a graph with edges between pairs of nodes that are relationally tied to each other according to some definition. Statistical analysis of social networks is to a large extent concerned with modelling of these relational ties, which lends itself to empirical evaluation. The first paper deals with a family of statistical models for social networks called exponential random graphs that takes various structural features of the network into account. In general, the likelihood functions of exponential random graphs are only known up to a constant of proportionality. A procedure for performing Bayesian inference using Markov chain Monte Carlo (MCMC) methods is presented. The algorithm consists of two basic steps, one in which an ordinary Metropolis-Hastings up-dating step is used, and another in which an importance sampling scheme is used to calculate the acceptance probability of the Metropolis-Hastings step. In paper number two a method for modelling reports given by actors (or other informants) on their social interaction with others is investigated in a Bayesian framework. The model contains two basic ingredients: the unknown network structure and functions that link this unknown network structure to the reports given by the actors. These functions take the form of probit link functions. An intrinsic problem is that the model is not identified, meaning that there are combinations of values on the unknown structure and the parameters in the probit link functions that are observationally equivalent. Instead of using restrictions for achieving identification, it is proposed that the different observationally equivalent combinations of parameters and unknown structure be investigated a posteriori. Estimation of parameters is carried out using Gibbs sampling with a switching devise that enables transitions between posterior modal regions. The main goal of the procedures is to provide tools for comparisons of different model specifications. Papers 3 and 4, propose Bayesian methods for longitudinal social networks. The premise of the models investigated is that overall change in social networks occurs as a consequence of sequences of incremental changes. Models for the evolution of social networks using continuos-time Markov chains are meant to capture these dynamics. Paper 3 presents an MCMC algorithm for exploring the posteriors of parameters for such Markov chains. More specifically, the unobserved evolution of the network in-between observations is explicitly modelled thereby avoiding the need to deal with explicit formulas for the transition probabilities. This enables likelihood based parameter inference in a wider class of network evolution models than has been available before. Paper 4 builds on the proposed inference procedure of Paper 3 and demonstrates how to perform model selection for a class of network evolution models.

Farming Nitrifiers: Main factors and parameters for maintaining healthy cultures

[EN] The atmospheric CO2 level is rising. Its greenhouse effect is partially mitigated by terrestrial (plants) and marine photosynthetic organisms (algae, phytoplankton), and also by the less-known chemosynthetic bacteria. Within this group of bacteria, nitrifiers have a direct and indirect impact on carbon fixation because, on one hand, they are autotrophs and, on the other, they release inorganic nitrogenous nutrients that feed other photoautotrophs. A new assay which simplifies the measurement of nitrification would improve our knowledge about the ocean’s capacity to fix CO2. Knowing how to cultivate these microbes from marine water samples is a first step towards developing new nitrification detection techniques. During the last six months, we have isolated and cultured a natural assembledge of marine nitrifiers. Our larger objective is to develop a way to enzymatically detect nitrification. However, to do this, we need large quantities of nitrifiers. Consequently, at this point, culturing this marine nitrifier community is our priority. We have learned that pH, nutrient levels, air flow, temperature, low light and sterility are critical for growing healthy nitrifiers. With this knowledge we will now be able to conduct experiments with the nitrifiers and develop the methodology that we seek.

Organismi acquatici e ambiente: meccanismi biochimici di interazione, risposta e adattamento

The research is focused on the relationship between some Mg2+-dependent ATPase activities of plasma- and mitochondrial membranes from tissues of cultured marine bivalve molluscs and potentially stressful environmental conditions, such as the exposure to contaminants both of natural origin (ammonia nitrogen, the main contaminant of aquaculture plants) and of anthropic source (alkyltins). The two filter-feeding bivalve species selected colonize different habitats: the common mussel Mytilus galloprovincialis binds to hard substrates and the Philippine clam Tapes philippinarum burrows into sea bottom sandy beds. The choice of typical species of coastal waters, extremely suitable for environmental studies due to their features of poor motility, resistance to transport and great filtering efficiency, may constitute a model to evaluate responses to contaminants of membrane-bound enzyme activities involved in key biochemical mechanisms, namely cell ionic regulation and mitochondrial energy production. In vitro and in vitro approaches have been pursued. In vitro assays were carried out by adding the contaminants (NH4Cl and alkyltins) directly to the ATPase reaction media. In vivo experiments were carried out by exposing mussels to various tributyl tin (TBT) concentrations under controlled conditions in aquaria. ATPase activities were determined spectrophotometrically according to the principles of the method of Fiske and Subbarow (1925). The main results obtained are detailed below. In Tapes philippinarum the interaction of NH4 +, the main form of ammonia nitrogen at physiological and seawater pHs, with the Na,K-ATPase and the ouabaininsensitive Na-ATPase was investigated in vitro on gill and mantle microsomal membranes. The proven replacement by NH4 +of K+ in the activation of the Na,KATPase and of Na+ in the activation of the ouabain-insensitive ATPase displayed similar enzyme affinity for the substituted cation. on the one hand this finding may represent one of the possible mechanisms of ammonia toxicity and, on the other, it supports the hypothesis that NH4 + can be transported across the plasma membrane through the two ATPases. In this case both microsomal ATPases may be involved and co-operate, at least under peculiar circumstances, to nitrogen excretion and ammonia detoxification mechanisms in bivalve molluscs. The two ATPase activities stimulated by NH4 + maintained their typical response to the glycoside ouabain, specific inhibitor of the Na,K-ATPase, being the Na++ NH4 +-activated ATPase even more susceptive to the inhibitor and the ouabain-insensitive ATPase activity activated indifferently by Na+ or NH4 + unaffected by up to 10-2 M ouabain. In vitro assays were carried out to evaluate the response of the two Na-dependent ATPases to organotins in clams and mussels and to investigate the interaction of TBT with mussel mitochondrial oligomycin-sensitive Mg-ATPase. Since no literature data were available, the optimal assay conditions and oligomycin sensitivity of mussel mitochondrial MgATPase were determined. In T. philippinarum the ouabain-insensitive Na-ATPase was found to be refractory to TBT both in the gills and in the mantle, whereas the Na,K-ATPase was progressively inhibited by increasing TBT doses; the enzyme inhibition was more pronounced in the gills than in the mantle. In both tissues of M. galloprovincialis the Na,K-ATPase inhibition by alkyltins decreased in the order TBT>DBT(dibutyltin)>>MBT(monobutyltin)=TeET(tetraethyltin) (no effect). Mussel Na-ATPase confirmed its refractorimess to TBT and derivatives both in the gills and in the mantle. These results indicate that the Na,K-ATPase inhibition decreases as the number of alkyl chains bound to tin decreases; however a certain polarity of the organotin molecule is required to yield Na,K-ATPase inhibition, since no enzyme inhibition occurred in the presence of tetraalkyl-substituted derivatives such as TeET . Assays carried out in the presence of the dithioerythritol (DTE) pointed out that the sulphhydrylic agent is capable to prevent the Na,K-ATPase inhibition by TBT, thus suggesting that the inhibitor may link to -SH groups of the enzyme complex.. Finally, the different effect of alkyltins on the two Na-dependent ATPases may constitute a further tool to differentiate between the two enzyme activities. These results add to the wealth of literature data describing different responses of the two enzyme activities to endogenous and exogenous modulators . Mussel mitochondrial Mg-ATPase was also found to be in vitro inhibited by TBT both in the gills and in the mantle: the enzyme inhibition followed non competitive kinetics. The failed effect of DTE pointed out that in this case the interaction of TBT with the enzyme complex is probably different from that with the Na,K-ATPase. The results are consistent with literature data showing that alkyltin may interact with enzyme structures with different mechanisms. Mussel exposure to different TBT sublethal doses in aquaria was carried out for 120 hours. Two samplings (after 24 and 120 hrs) were performed in order to evaluate a short-term response of gill and mantle Na,K-ATPase, ouabain-insensitive Na-ATPase and Mg-ATPase activities. The in vivo response to the contaminants of the enzyme activities under study was shown to be partially different from that pointed out in the in vitro assays. Mitochondrial Mg-ATPase activity appeared to be activated in TBTexposed mussels with respect to control ones, thus confirming the complexity of evaluating in vivo responses of the enzyme activities to contaminants, due to possible interactions of toxicants with molluscan metabolism. Concluding, the whole of data point out that microsomal and mitochondrial ATPase activities of bivalve molluscs are generally responsive to environmental contaminants and suggest that in some cases membrane-bound enzyme activities may represent the molecular target of their toxicity. Since the Na,K-ATPase, the Na-ATPase and the Mg-ATPase activities are poorly studied in marine bivalves, this research may contribute to enlarge knowledge in this quite unexplored field.

Studio di biomateriali usati come scaffold per Tissue Engineering e loro caratterizzazione con tecniche spettroscopiche vibrazionali e di analisi termica

This research investigated someone of the main problems connected to the application of Tissue Engineering in the prosthetic field, in particular about the characterization of the scaffolding materials and biomimetic strategies adopted in order to promote the implant integration. The spectroscopic and thermal analysis techniques were usefully applied to characterize the chemico-physical properties of the materials such as – crystallinity; – relative composition in case of composite materials; – Structure and conformation of polymeric and peptidic chains; – mechanism and degradation rate; – Intramolecular and intermolecular interactions (hydrogen bonds, aliphatic interactions). This kind of information are of great importance in the comprehension of the interactions that scaffold undergoes when it is in contact with biological tissues; this information are fundamental to predict biodegradation mechanisms and to understand how chemico-physical properties change during the degradation process. In order to fully characterize biomaterials, this findings must be integrated by information relative to mechanical aspects and in vitro and in vivo behavior thanks to collaborations with biomedical engineers and biologists. This study was focussed on three different systems that correspond to three different strategies adopted in Tissue Engineering: biomimetic replica of fibrous 3-D structure of extracellular matrix (PCL-PLLA), incorporation of an apatitic phase similar to bone inorganic phase to promote biomineralization (PCL-HA), surface modification with synthetic oligopeptides that elicit the interaction with osteoblasts. The characterization of the PCL-PLLA composite underlined that the degradation started along PLLA fibres, which are more hydrophylic, and they serve as a guide for tissue regeneration. Moreover it was found that some cellular lines are more active in the colonization of the scaffold. In the PCL-HA composite, the weight ratio between the polymeric and the inorganic phase plays an essential role both in the degradation process and in the biomineralization of the material. The study of self-assembling peptides allowed to clarify the influence of primary structure on intermolecular and intermolecular interactions, that lead to the formation of the secondary structure and it was possible to find a new class of oligopeptides useful to functionalize materials surface. Among the analytical techniques used in this study, Raman vibrational spectroscopy played a major role, being non-destructive and non-invasive, two properties that make it suitable to degradation studies and to morphological characterization. Also micro-IR spectroscopy was useful in the comprehension of peptide structure on oxidized titanium: up to date this study was one of the first to employ this relatively new technique in the biomedical field.