On Bounded Strictly Positive Operators of Closed Range and Some Applications to Asymptotic Hyperstability of Dynamic Systems

The problem discussed is the stability of two input-output feedforward and feedback relations, under an integral-type constraint defining an admissible class of feedback controllers. Sufficiency-type conditions are given for the positive, bounded and of closed range feed-forward operator to be strictly positive and then boundedly invertible, with its existing inverse being also a strictly positive operator. The general formalism is first established and the linked to properties of some typical contractive and pseudocontractive mappings while some real-world applications and links of the above formalism to asymptotic hyperstability of dynamic systems are discussed later on.

On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations

This paper investigates a class of self-adjoint compact operators in Hilbert spaces related to their truncated versions with finite-dimensional ranges. The comparisons are established in terms of worst-case norm errors of the composite operators generated from iterated computations. Some boundedness properties of the worst-case norms of the errors in their respective fixed points in which they exist are also given. The iterated sequences are expanded in separable Hilbert spaces through the use of numerable orthonormal bases.

Best Proximity Points of Generalized Semicyclic Impulsive Self-Mappings: Applications to Impulsive Differential and Difference Equations

This paper is devoted to the study of convergence properties of distances between points and the existence and uniqueness of best proximity and fixed points of the so-called semicyclic impulsive self-mappings on the union of a number of nonempty subsets in metric spaces. The convergences of distances between consecutive iterated points are studied in metric spaces, while those associated with convergence to best proximity points are set in uniformly convex Banach spaces which are simultaneously complete metric spaces. The concept of semicyclic self-mappings generalizes the well-known one of cyclic ones in the sense that the iterated sequences built through such mappings are allowed to have images located in the same subset as their pre-image. The self-mappings under study might be in the most general case impulsive in the sense that they are composite mappings consisting of two self-mappings, and one of them is eventually discontinuous. Thus, the developed formalism can be applied to the study of stability of a class of impulsive differential equations and that of their discrete counterparts. Some application examples to impulsive differential equations are also given.

Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint

This paper is focused on the study of the important property of the asymptotic hyperstability of a class of continuous-time dynamic systems. The presence of a parallel connection of a strictly stable subsystem to an asymptotically hyperstable one in the feed-forward loop is allowed while it has also admitted the generation of a finite or infinite number of impulsive control actions which can be combined with a general form of nonimpulsive controls. The asymptotic hyperstability property is guaranteed under a set of sufficiency-type conditions for the impulsive controls.

Molecular diagnosis of distal renal tubular acidosis in Tunisian patients: proposed algorithm for Northern Africa populations for the ATP6V1B1, ATP6V0A4 and SCL4A1 genes

Background: Primary distal renal tubular acidosis (dRTA) caused by mutations in the genes that codify for the H+ -ATPase pump subunits is a heterogeneous disease with a poor phenotype-genotype correlation. Up to now, large cohorts of dRTA Tunisian patients have not been analyzed, and molecular defects may differ from those described in other ethnicities. We aim to identify molecular defects present in the ATP6V1B1, ATP6V0A4 and SLC4A1 genes in a Tunisian cohort, according to the following algorithm: first, ATP6V1B1 gene analysis in dRTA patients with sensorineural hearing loss (SNHL) or unknown hearing status. Afterwards, ATP6V0A4 gene study in dRTA patients with normal hearing, and in those without any structural mutation in the ATP6V1B1 gene despite presenting SNHL. Finally, analysis of the SLC4A1 gene in those patients with a negative result for the previous studies. Methods: 25 children (19 boys) with dRTA from 20 families of Tunisian origin were studied. DNAs were extracted by the standard phenol/chloroform method. Molecular analysis was performed by PCR amplification and direct sequencing. Results: In the index cases, ATP6V1B1 gene screening resulted in a mutation detection rate of 81.25%, which increased up to 95% after ATP6V0A4 gene analysis. Three ATP6V1B1 mutations were observed: one frameshift mutation (c.1155dupC; p.Ile386fs), in exon 12; a G to C single nucleotide substitution, on the acceptor splicing site (c.175-1G > C; p.?) in intron 2, and one novel missense mutation (c. 1102G > A; p. Glu368Lys), in exon 11. We also report four mutations in the ATP6V0A4 gene: one single nucleotide deletion in exon 13 (c.1221delG; p. Met408Cysfs* 10); the nonsense c.16C > T; p.Arg6*, in exon 3; and the missense changes c.1739 T > C; p.Met580Thr, in exon 17 and c.2035G > T; p.Asp679Tyr, in exon 19. Conclusion: Molecular diagnosis of ATP6V1B1 and ATP6V0A4 genes was performed in a large Tunisian cohort with dRTA. We identified three different ATP6V1B1 and four different ATP6V0A4 mutations in 25 Tunisian children. One of them, c.1102G > A; p.Glu368Lys in the ATP6V1B1 gene, had not previously been described. Among deaf since childhood patients, 75% had the ATP6V1B1 gene c. 1155dupC mutation in homozygosis. Based on the results, we propose a new diagnostic strategy to facilitate the genetic testing in North Africans with dRTA and SNHL.

Advances in Nonlinear Complexity Analysis for Partial Differential Equations

1 p. -- [Editorial Material]

Expanding the repertoire of DNA-mediated signaling in DNA repair

DNA damage is extremely detrimental to the cell and must be repaired to protect the genome. DNA is capable of conducting charge through the overlapping π-orbitals of stacked bases; this phenomenon is extremely sensitive to the integrity of the π-stack, as perturbations attenuate DNA charge transport (CT). Based on the E. coli base excision repair (BER) proteins EndoIII and MutY, it has recently been proposed that redox-active proteins containing metal clusters can utilize DNA CT to signal one another to locate sites of DNA damage.

To expand our repertoire of proteins that utilize DNA-mediated signaling, we measured the DNA-bound redox potential of the nucleotide excision repair (NER) helicase XPD from Sulfolobus acidocaldarius. A midpoint potential of 82 mV versus NHE was observed, resembling that of the previously reported BER proteins. The redox signal increases in intensity with ATP hydrolysis in only the WT protein and mutants that maintain ATPase activity and not for ATPase-deficient mutants. The signal increase correlates directly with ATP activity, suggesting that DNA-mediated signaling may play a general role in protein signaling. Several mutations in human XPD that lead to XP-related diseases have been identified; using SaXPD, we explored how these mutations, which are conserved in the thermophile, affect protein electrochemistry.

To further understand the electrochemical signaling of XPD, we studied the yeast S. cerevisiae Rad3 protein. ScRad3 mutants were incubated on a DNA-modified electrode and exhibited a similar redox potential to SaXPD. We developed a haploid strain of S. cerevisiae that allowed for easy manipulation of Rad3. In a survival assay, the ATPase- and helicase-deficient mutants show little survival, while the two disease-related mutants exhibit survival similar to WT. When both a WT and G47R (ATPase/helicase deficient) strain were challenged with different DNA damaging agents, both exhibited comparable survival in the presence of hydroxyurea, while with methyl methanesulfonate and camptothecin, the G47R strain exhibits a significant change in growth, suggesting that Rad3 is involved in repairing damage beyond traditional NER substrates. Together, these data expand our understanding of redox-active proteins at the interface of DNA repair.

Investigating the Role of the GET3-GET4/GET5 Interaction During Tail-Anchor Protein Targeting

The proper targeting of membrane proteins is essential to the viability of all cells. Tail-anchored (TA) proteins, defined as having a single transmembrane helix at their C-terminus, are post-translationally targeted to the endoplasmic reticulum (ER) membrane by the GET pathway (Guided Entry of TA proteins). In the yeast pathway, the handover of TA substrates is mediated by the heterotetrameric Get4/Get5 (Get4/5) complex, which tethers the co-chaperone Sgt2 to the central targeting factor, the Get3 ATPase. Although binding of Get4/5 to Get3 is critical for efficient TA targeting, the mechanisms by which Get4 regulates Get3 are unknown. To understand the molecular basis of Get4 function, we used a combination of structural biology, biochemistry, and cell biology. Get4/5 binds across the Get3 dimer interface, in an orientation only compatible with a closed Get3, providing insight into the role of nucleotide in complex formation. Additionally, this structure reveals two functionally distinct binding interfaces for anchoring and ATPase regulation, and loss of the regulatory interface leads to strong defects in vitro and in vivo. Additional crystal structures of the Get3-Get4/5 complex give rise to an alternate conformation, which represents an initial binding interaction mediated by electrostatics that facilitates the rate of subsequent inhibited complex formation. This interface is supported by an in-depth kinetic analysis of the Get3-Get4/5 interaction confirming the two-step complex formation. These results allow us to generate a refined model for Get4/5 function in TA targeting.

Lipotoxicidade na leptospirose humana: aspectos prognósticos e potencial efeito benéfico da administração de albumina

A leptospirose humana é uma doença infecciosa aguda de amplo espectro clínico e que cursa com alterações metabólicas e dislipidêmicas envolvendo colesterol total e frações, triglicerídeos e ácidos graxos não esterificados (AGNEs). Dentre os mecanismos celulares envolvidos na sua fisiopatologia encontram-se a inibição da enzima Na, K ATPase pela endotoxina GLP e a lipotoxicidade, ambos agravados pela redução dos níveis circulantes da albumina, molécula que exerce um papel fundamental na adsorção de moléculas lipídicas. Neste estudo observacional, determinamos as concentrações séricas de bilirrubina, creatinina e albumina e, pela técnica de cromatografia líquida de alta performance, a concentração sérica dos AGNEs de cadeia longa (C16: C18) de 27 pacientes com síndrome de Weil durante o período de internação hospitalar, dos quais cinco vieram a falecer. Verificamos correlações significantes (p<0,05) ao longo da internação hospitalar, nas concentrações séricas de marcadores bioquímicos de gravidade da doença (bilirrubina, creatinina e albumina), AGNEs, ácido oléico e ácido linoléico, e relação molar ácido oléico/ albumina, com r (Pearson) de -0,7981, -0,7699, 0,9014, -0,8795 -0,9816, -0,9694, -0,9821, respectivamente. A relação molar ácido oléico/ albumina e ácido oléico+ linoléico/albumina foi significantemente mais elevada nos pacientes que faleceram (p<0,001), retornando aos valores semelhantes aos do grupo controle nos pacientes que evoluíram para a cura. Na análise por Curva Roc, a relação molar ácido oléico/albumina se mostrou um bom teste preditivo, com valor de corte 0,705 associado com maior especificidade e sensibilidade prognóstica. Nossos resultados sugerem que a utilização parenteral da albumina humana em pacientes com leptospirose pode ser uma potente ferramenta terapêutica nos casos mais graves ao interferir positivamente no resgate do equilíbrio bioquímico das relações molares ácido oléico/ albumina e ácido oléico+linoléico/albumina.

A Comparison of the SNP Variation in the Calcification PMCA Gene of Lottia gigantea between a Santa Barbara Population and a More Acidic Monterey Bay Population

As the atmospheric levels of CO2 rise from human activity, the carbonic acid levels of the ocean increase, causing ocean acidification. This increase in acidity breaks down the calcified bodies that many marine organisms depend upon. Upwelling regions such as Monterey Bay in California have pH levels that are not expected to reach the open ocean for a few decades. This study reviews one of the common intertidal animals of the California coast, the Owl Limpet Lottia gigantea, and its genetic variation of the plasma membrane Ca2+ ATPase (PMCA) in relation to the acidity of its environment. The PMCA protein functions in the calcification process of many organisms. Specifically in limpets, this gene functions to form its protective shell. Single-nucleotide polymorphisms (SNPs) were found among five sections of the gene to determine variation between the acidic environment population in Monterey, California and the non-acidic environment population in Santa Barbara, California. While some variation was determined, the Monterey Bay and Santa Barbara Lottia gigantea populations are not significantly distinct at the PMCA gene. Sections B, C, and D were found to be linked. Only one location in Section B was found to have an amino acid change within an exon. Section A has the strongest connection to the sampling location. Monterey individuals were seen to be more genetically recognizable, while Santa Barbara individuals showed slightly more variation. Understanding the trends of ocean acidification, upwelling region activities, and population genetics will assist in determining how the ocean environment will behave in the future.

Investigação de mutações no gene ATP13A2 como um fator de risco para a Doença de Parkinson em pacientes brasileiros

A doença de Parkinson (DP) é a desordem neurodegenerativa motora mais frequente, com uma prevalência de, aproximadamente, 1% entre indivíduos com mais de 60 anos de idade, aumentando para 4 a 5% entre os indivíduos com idade superior a 85 anos. Esta condição é caracterizada pela perda seletiva dos neurônios dopaminérgicos da substância negra e pela presença de inclusões protéicas ricas em α-sinucleína nos neurônios sobreviventes. Pouco se sabe sobre a etiologia e a patogênese da DP. A maioria dos casos aparece esporadicamente, podendo estar associados a diversos fatores de risco ambientais e genéticos. Na última década, estudos de ligação identificaram 15 loci cromossômicos (PARK1 a PARK15) relacionados à DP e, nestes, um novo gene, ATP13A2, tem sido associado a casos de DP de início precoce. Esse gene está situado no 1p36 e codifica a proteína ATPase tipo-P da subfamília P5, de localização lisossômica, que é expressa em diversos tecidos, principalmente no cérebro. Mutações em ATP13A2 levam à formação de proteínas truncadas que ficam retidas no reticulo endoplasmático e posteriormente são degradadas pelo proteossomo, podendo causar a disfunção proteossômica, decorrente da sobrecarga gerada pela proteína mutante, ou causar a disfunção lisossômica, ambas gerando agregação tóxica. Este trabalho tem como objetivo realizar a análise molecular do gene ATP13A2 em uma amostra de 116 pacientes brasileiros com DP, de manifestação precoce (<50 anos), de forma a avaliar se mutações neste gene representam um fator de risco para a DP. O DNA foi extraído a partir de leucócitos do sangue periférico ou de saliva e a análise molecular dos éxons 2, 3, 12, 13, 14, 15, 16, 26 e 27, bem como, dos limites íntronéxons foi realizada por sequenciamento automático dos produtos da PCR. Identificamos oito variantes de sequência: quatro variantes intrônicas (uma no íntron 2, uma no íntron 13 e duas no íntron 27) e quatro variantes silenciosas (uma no éxon 3, 16, 26 e 27). Com base em dados da literatura e através de análises in silico e comparação com amostras controle, classificamos a alteração intrônica c.3084- 3C>T, e as alterações silenciosas c.2970G>A e c.3192C>T como não patogênicas; as alterações intrônicas c.106-30G>T, c.1306+42_1306+43 insC e c.3083+24C>T, e as alterações silenciosas c.132A>G e c.1610G>T foram classificadas como provavelmente não patogênicas. Nosso achados corroboram àqueles encontrados em outras populações e indicam que mutações no gene ATP13A2 não são uma causa comum de DP na amostra de pacientes brasileiros analisados. No entanto, se faz necessário estender nossas análises para outras regiões gênicas, a fim de determinar o real papel deste gene na etiologia da DP em nossa população.

Alcohol-Related Brain Damage in Humans

Chronic excessive alcohol intoxications evoke cumulative damage to tissues and organs. We examined prefrontal cortex (Brodmann's area (BA) 9) from 20 human alcoholics and 20 age, gender, and postmortem delay matched control subjects. H & E staining and light microscopy of prefrontal cortex tissue revealed a reduction in the levels of cytoskeleton surrounding the nuclei of cortical and subcortical neurons, and a disruption of subcortical neuron patterning in alcoholic subjects. BA 9 tissue homogenisation and one dimensional polyacrylamide gel electrophoresis (PAGE) proteomics of cytosolic proteins identified dramatic reductions in the protein levels of spectrin beta II, and alpha- and beta-tubulins in alcoholics, and these were validated and quantitated by Western blotting. We detected a significant increase in a-tubulin acetylation in alcoholics, a non-significant increase in isoaspartate protein damage, but a significant increase in protein isoaspartyl methyltransferase protein levels, the enzyme that triggers isoaspartate damage repair in vivo. There was also a significant reduction in proteasome activity in alcoholics. One dimensional PAGE of membrane-enriched fractions detected a reduction in beta-spectrin protein levels, and a significant increase in transmembranous alpha 3 (catalytic) subunit of the Na+, K+-ATPase in alcoholic subjects. However, control subjects retained stable oligomeric forms of a-subunit that were diminished in alcoholics. In alcoholics, significant loss of cytosolic alpha-and beta-tubulins were also seen in caudate nucleus, hippocampus and cerebellum, but to different levels, indicative of brain regional susceptibility to alcohol-related damage. Collectively, these protein changes provide a molecular basis for some of the neuronal and behavioural abnormalities attributed to alcoholics

Contributions to Ensemble Classifiers with Image Analysis Applications

134 p.

A Novel Scheduling Index Rule Proposal for QoE Maximization in Wireless Networks

This paper deals with the resource allocation problem aimed at maximizing users' perception of quality in wireless channels with time-varying capacity. First of all, we model the subjective quality-aware scheduling problem in the framework of Markovian decision processes. Then, given that the obtaining of the optimal solution of this model is unachievable, we propose a simple scheduling index rule with closed-form expression by using a methodology based on Whittle approach. Finally, we analyze the performance of the achieved scheduling proposal in several relevant scenarios, concluding that it outperforms the most popular existing resource allocation strategies.

Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications

This paper investigates the errors of the solutions as well as the shadowing property of a class of nonlinear differential equations which possess unique solutions on a certain interval for any admissible initial condition. The class of differential equations is assumed to be approximated by well-posed truncated Taylor series expansions up to a certain order obtained about certain, in general nonperiodic, sampling points t(i) is an element of [t(0), t(J)] for i = 0, 1, . . . , J of the solution. Two examples are provided.