Expression of neurexin ligands, the neuroligins and the neurexophilins, in the developing and adult rodent olfactory bulb

The neurexins are a large family of neuronal cell-surface proteins believed to be involved in intercellular signalling and the formation of intercellular junctions. To begin to assess the role of these proteins in the olfactory bulb, we describe here the expression patterns of their transmembrane and secreted ligands, the neuroligins and neurexophilins, during both embryonic and postnatal development. In situ hybridisation showed that neuroligin 1 and 2 were expressed by second order mitral cells during early postnatal development but not in adults. The secreted ligand for a-neurexin, neurexophilin 1, was also expressed in the postnatal olfactory bulb. Neurexophilin 1 was detected in only periglomerular cells during the early postnatal period of glomerular formation but later was also expressed in mitral cells. These results suggest that neurexin-ligand interactions may be important for development and/or maturation of synaptic connections in the primary olfactory pathway.

A four-stage index 2 Diagonally Implicit Runge-Kutta method

High index Differential Algebraic Equations (DAEs) force standard numerical methods to lower order. Implicit Runge-Kutta methods such as RADAU5 handle high index problems but their fully implicit structure creates significant overhead costs for large problems. Singly Diagonally Implicit Runge-Kutta (SDIRK) methods offer lower costs for integration. This paper derives a four-stage, index 2 Explicit Singly Diagonally Implicit Runge-Kutta (ESDIRK) method. By introducing an explicit first stage, the method achieves second order stage calculations. After deriving and solving appropriate order conditions., numerical examples are used to test the proposed method using fixed and variable step size implementations. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.

On learning context-free and context-sensitive languages

The long short-term memory (LSTM) is not the only neural network which learns a context sensitive language. Second-order sequential cascaded networks (SCNs) are able to induce means from a finite fragment of a context-sensitive language for processing strings outside the training set. The dynamical behavior of the SCN is qualitatively distinct from that observed in LSTM networks. Differences in performance and dynamics are discussed.

Finite, three-dimensional adsorbed phase growth in activated carbon mesopores

The role of PACs (primary adsorption centers) in the mesopore (i.e., transport) region of activated carbons during adsorption of polar species, such as water, is unclear. A classical model of three-dimensional adsorption on finite PACs is presented. The model is a preliminary, theoretical investigation into adsorption on mesopore PACs and is intended to give some insight into the energetic and physical processes at work. Work processes are developed to obtain isotherms and three-dimensional sorbate growth on PACs of varying size and energetic characteristics. The work processes allow two forms of adsorbed phase growth: densification at constant boundary and boundary growth at constant density. Relatively strong sorbate-sorbent interactions and strong surface tension favor adsorbed phase densification over boundary growth. Conversely, relatively weak sorbate-sorbent interactions and weak surface tension favor boundary growth over densification. If sorbate-sorbate interactions are strong compared to sorbate-sorbent interactions, condensation with hysteresis occurs. This can also give rise to delayed boundary growth, where all initial adsorption occurs in the monolayer only. The results indicate that adsorbed phase growth on PACs may be quite complex.

Heterogeneity in olfactory neurons in mouse revealed by differential expression of glycoconjugates

Cell surface glycoconjugates have been implicated in the growth and guidance of subpopulations of primary olfactory axons. While subpopulations of primary olfactory neurons have been identified by differential expression of carbohydrates in the rat there are few reports of similar subpopulations in the mouse. We have examined the spatiotemporal expression pattern of glycoconjugates recognized by the lectin from Wisteria floribunda (WFA) in the mouse olfactory system. In the developing olfactory neuroepithelium lining the nasal cavity, WFA stained a subpopulation of primary olfactory neurons and the fascicles of axons projecting to the target tissue, the olfactory bulb. Within the developing olfactory bulb, WFA stained the synaptic neuropil of the glomerular and external plexiform layers. In adults, strong expression of WFA ligands was observed in second-order olfactory neurons as well as in neurons in several higher order olfactory processing centres in the brain. Similar, although distinct, staining of neurons in the olfactory pathway was detected with Dolichos biflorus agglutinin. These results demonstrate that unique subpopulations of olfactory neurons are chemically coded by the expression of glycoconjugates. The conserved expression of these carbohydrates across species suggests they play an important role in the functional organization of this region of the nervous system.

The nonexistence of spurious solutions to discrete, two-point boundary value problems

We investigate difference equations which arise as discrete approximations to two-point boundary value problems for systems of second-order, ordinary differential equations. We formulate conditions under which all solutions to the discrete problem satisfy certain a priori bounds which axe independent of the step-size. As a result, the nonexistence of spurious solutions are guaranteed. Some existence and convergence theorems for solutions to the discrete problem are also presented. (C) 2002 Elsevier Science Ltd. All rights reserved.

Difference equations in Banach spaces

Difference equations which discretely approximate boundary value problems for second-order ordinary differential equations are analysed. It is well known that the existence of solutions to the continuous problem does not necessarily imply existence of solutions to the discrete problem and, even if solutions to the discrete problem are guaranteed, they may be unrelated and inapplicable to the continuous problem. Analogues to theorems for the continuous problem regarding a priori bounds and existence of solutions are formulated for the discrete problem. Solutions to the discrete problem are shown to converge to solutions of the continuous problem in an aggregate sense. An example which arises in the study of the finite deflections of an elastic string under a transverse load is investigated. The earlier results are applied to show the existence of a solution; the sufficient estimates on the step size are presented. (C) 2003 Elsevier Science Ltd. All rights reserved.

The Galilean turn in population ecology

The standard mathematical models in population ecology assume that a population's growth rate is a function of its environment. In this paper we investigate an alternative proposal according to which the rate of change of the growth rate is a function of the environment and of environmental change. We focus on the philosophical issues involved in such a fundamental shift in theoretical assumptions, as well as on the explanations the two theories offer for some of the key data such as cyclic populations. We also discuss the relationship between this move in population ecology and a similar move from first-order to second-order differential equations championed by Galileo and Newton in celestial mechanics.

The uniqueness of solutions to discrete, victor, two-point boundary value problems

Difference equations which may arise as discrete approximations to two-point boundary value problems for systems of second-order, ordinary differential equations are investigated and conditions are formulated under which solutions to the discrete problem are unique. Some existence, uniqueness implies existence, and convergence theorems for solutions to the discrete problem are also presented.

Theoretical and experimental studies of unbraced tubular trusses allowing for torsional stiffness

This paper describes the buckling phenomenon of a tubular truss with unsupported length through a full-scale test and presents a practical computational method for the design of the trusses allowing for the contribution of torsional stiffness against buckling, of which the effect has never been considered previously by others. The current practice for the design of a planar truss has largely been based on the linear elastic approach which cannot allow for the contribution of torsional stiffness and tension members in a structural system against buckling. The over-simplified analytical technique is unable to provide a realistic and an economical design to a structure. In this paper the stability theory is applied to the second-order analysis and design of the structural form, with detailed allowance for the instability and second-order effects in compliance with design code requirements. Finally, the paper demonstrates the application of the proposed method to the stability design of a commonly adopted truss system used in support of glass panels in which lateral bracing members are highly undesirable for economical and aesthetic reasons.

A economia da informação : rumo a um programa de pesquisa alternativo

Este trabalho tem por objetivo discutir o surgimento de um programa de pesquisa na Ciência Econômica, no que concerne a análise das assimetrias de informação, as diferenças epistemológicas e as implicações em termos de equilíbrio ótimo de Pareto, em contraponto à abordagem neoclássica standard. Em busca de tal objetivo, foi necessário destacar o método de ambos os paradigmas; todavia, era igualmente necessário discutir a filosofia/epistemologia da ciência envolvida e que serviria de base para uma abordagem relacionada a mudanças paradigmáticas na ciência. No capítulo 1, discutimos a epistemologia da ciência, a partir de três autores: Popper, Kuhn e Lakatos. Definimos o conjunto de hipóteses que podem ser associadas ao método empregado pela Escola Neoclássica, a partir da filosofia da ciência proposta por Lakatos. Em seguida, no capítulo 2, fizemos uma longa exposição do método neoclássico, definindo os axiomas inerentes às preferências bem-comportadas, apresentando algebricamente o equilíbrio geral walrasiano, exemplificando o relaxamento de hipóteses auxiliares do modelo neoclássico a partir de Friedman e, por fim, aplicando o instrumental neoclássico ao relaxamento da hipótese auxiliar de perfeição da informação, a partir do modelo desenvolvido por Grossman & Stiglitz (1976), bem como da expansão matemática desenvolvida pelo presente trabalho. Finalmente, encerramos a presente dissertação com o capítulo 3, no qual, basicamente, expomos as principais contribuições de autores como Stiglitz, Akerlof e Arrow, no que concerne a mercados permeados por informações assimétricas e comportamentos oportunistas. Procuramos mostrar as consequências para o próprio mercado, chegando a resultados em que o mesmo era extinto. Apresentamos a segunda parte do modelo de Grossman & Stiglitz, enfatizando a natureza imperfeita do sistema de preços, sua incapacidade de transmitir todas as informações sobre os bens ao conjunto dos agentes, e, por fim, discutimos tópicos variados ligados à Economia da Informação.

The folding of knotted proteins: insights from lattice simulations

We carry out systematic Monte Carlo simulations of Go lattice proteins to investigate and compare the folding processes of two model proteins whose native structures differ from each other due to the presence of a trefoil knot located near the terminus of one of the protein chains. We show that the folding time of the knotted fold is larger than that of the unknotted protein and that this difference in folding time is particularly striking in the temperature region below the optimal folding temperature. Both proteins display similar folding transition temperatures, which is indicative of similar thermal stabilities. By using the folding probability reaction coordinate as an estimator of folding progression we have found out that the formation of the knot is mainly a late folding event in our shallow knot system.

Seismic imaging of the western Iberian crust using ambient noise: Boundaries and internal structure of the Iberian Massif

We present new Rayleigh-wave dispersion maps of the western Iberian Peninsula for periods between 8 and 30 s, obtained from correlations of seismic ambient noise, following the recent increase in seismic broadband network density in Portugal and Spain. Group velocities have been computed for each station pair using the empirical Green's functions generated by cross-correlating one-day-length seismic ambient-noise records. The resulting high-path density allows us to obtain lateral variations of the group velocities as a function of period in cells of 0.5 degrees x 0.5 degrees with an unprecedented resolution. As a result we were able to address some of the unknowns regarding the lithospheric structure beneath SW Iberia. The dispersion maps allow the imaging of the major structural units, namely the Iberian Massif, and the Lusitanian and Algarve Meso-Cenozoic basins. The Cadiz Gulf/Gibraltar Strait area corresponds to a strong low-velocity anomaly, which can be followed to the largest period inverted, although slightly shifted to the east at longer periods. Within the Iberian Massif, second-order perturbations in the group velocities are consistent with the transitions between tectonic units composing the massif. (C) 2013 Elsevier B.V. All rights reserved.

Estudo do tratamento de águas contaminadas com tricloroetileno, usando ferro zerovalente

A tecnologia de barreiras reactivas é uma alternativa possível de ser implementada para tratamento de águas contaminadas com compostos organoclorados, nomeadamente o tricloroetileno (TCE). O recurso a ferro zerovalente (Fe0) como meio reactivo tem na actualidade inúmeras aplicações, tratando-se de uma reacção de desalogenação por mecanismo de oxidação-redução. Neste trabalho fizeram-se estudos em batch da reacção entre o Fe0 e o TCE de forma a conhecer os parâmetros cinéticos. A natureza e a área da superfície do ferro provaram ser determinantes na velocidade da reacção. Foi possível verificar que para o sistema ferro comercial / TCE a ordem da reacção é inferior a um, e a constante cinética da ordem de 10-2 Lm-2h-1. Para simular uma barreira reactiva, projectaram-se e construíram-se colunas, as quais foram cheias com areia e ferro depois de devidamente misturados, uma vez que se tratou da disposição a que corresponderam melhores eficiências de redução do TCE. Não foi possível estabelecer o mecanismo da reacção, nem conhecer os parâmetros cinéticos, pelas dificuldades experimentais encontradas na análise do TCE e pelo facto de se tratar de uma reacção muito lenta. A cromatografia gasosa com detector de ionização de chama provou ser o método mais apropriado para doseamento do TCE em águas contaminadas, nas condições usadas neste estudo. A elevada volatilização do TCE e a baixa solubilidade em água contribuíram para as dificuldades operacionais encontradas.

Removal of Cd(II), Zn(II) and Pb(II) from aqueous solutions by brown marine macro algae: kinetic modelling

Specific marine macro algae species abundant at the Portuguese coast (Laminaria hyperborea, Bifurcaria bifurcata, Sargassum muticum and Fucus spiralis) were shown to be effective for removing toxic metals (Cd(II), Zn(II) and Pb(II)) from aqueous solutions. The initial metal concentrations in solution were about 75–100 mg L−1. The observed biosorption capacities for cadmium, zinc and lead ions were in the ranges of 23.9–39.5, 18.6–32.0 and 32.3–50.4 mg g−1, respectively. Kinetic studies revealed that the metal uptake rate was rather fast, with 75% of the total amount occurring in the first 10 min for all algal species. Experimental data were well fitted by a pseudo-second order rate equation. The contribution of internal diffusion mechanism was significant only to the initial biosorption stage. Results indicate that all the studied macro algae species can provide an efficient and cost-effective technology for eliminating heavy metals from industrial effluents.