Orthogonal polynomials on the unit circle and chain sequences

Szego{double acute} has shown that real orthogonal polynomials on the unit circle can be mapped to orthogonal polynomials on the interval [-1,1] by the transformation 2x=z+z-1. In the 80's and 90's Delsarte and Genin showed that real orthogonal polynomials on the unit circle can be mapped to symmetric orthogonal polynomials on the interval [-1,1] using the transformation 2x=z1/2+z-1/2. We extend the results of Delsarte and Genin to all orthogonal polynomials on the unit circle. The transformation maps to functions on [-1,1] that can be seen as extensions of symmetric orthogonal polynomials on [-1,1] satisfying a three-term recurrence formula with real coefficients {cn} and {dn}, where {dn} is also a positive chain sequence. Via the results established, we obtain a characterization for a point w(|w|=1) to be a pure point of the measure involved. We also give a characterization for orthogonal polynomials on the unit circle in terms of the two sequences {cn} and {dn}. © 2013 Elsevier Inc.

Chromosomal organization of repetitive DNA sequences in Astyanax bockmanni (Teleostei, Characiformes): dispersive location, association and co-localization in the genome

Repetitive DNA sequences constitute a great portion of the genome of eukaryotes and are considered key components to comprehend evolutionary mechanisms and karyotypic differentiation. Aiming to contribute to the knowledge of chromosome structure and organization of some repetitive DNA classes in the fish genome, chromosomes of two allopatric populations of Astyanax bockmanni were analyzed using classic cytogenetics techniques and fluorescent in situ hybridization, with probes for ribosomal DNA sequences, histone DNA and transposable elements. These Astyanax populations showed the same diploid number (2n = 50), however with differences in chromosome morphology, distribution of constitutive heterochromatin, and location of 18S rDNA and retroelement Rex3 sites. In contrast, sites for 5S rDNA and H1, H3 and H4 histones showed to be co-located and highly conserved. Our results indicate that dispersion and variability of 18S rDNA and heterochromatin sites are not associated with macro rearrangements in the chromosome structure of these populations. Similarly, distinct evolutionary mechanisms would act upon histone genes and 5S rDNA, contributing to chromosomal association and co-location of these sequences. Data obtained indicate that distinct mechanisms drive the spreading of repetitive DNAs in the genome of A. bockmanni. Also, mobile elements may account for the polymorphism of the major rDNA sites and heterochromatin in this genus. © 2013 Springer Science+Business Media Dordrecht.

Triplet entropy analysis of hemagglutinin and neuraminidase sequences measures influenza virus phylodynamics

The influenza virus has been a challenge to science due to its ability to withstand new environmental conditions. Taking into account the development of virus sequence databases, computational approaches can be helpful to understand virus behavior over time. Furthermore, they can suggest new directions to deal with influenza. This work presents triplet entropy analysis as a potential phylodynamic tool to quantify nucleotide organization of viral sequences. The application of this measure to segments of hemagglutinin (HA) and neuraminidase (NA) of H1N1 and H3N2 virus subtypes has shown some variability effects along timeline, inferring about virus evolution. Sequences were divided by year and compared for virus subtype (H1N1 and H3N2). The nonparametric Mann-Whitney test was used for comparison between groups. Results show that differentiation in entropy precedes differentiation in GC content for both groups. Considering the HA fragment, both triplet entropy as well as GC concentration show intersection in 2009, year of the recent pandemic. Some conclusions about possible flu evolutionary lines were drawn. © 2013 Elsevier B.V.

Filogeografia de Thoropa grupo miliaris (Anura: Cycloramphidae)

Pós-graduação em Biologia Animal - IBILCE

Utlização do DNA mitocondrial no contexto forense brasileiro

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Análise de polimorfismos da região controle do dna mitocondrial em indivíduos nascidos e residentes no estado do espírito santo para utilização na identificação humana

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Estudo do padrão de distribuição genético-haplotípico de Chrysoperla externa (Neuroptera: Chrysopidae) em áreas de citros no estado de São Paulo

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Análise dos genes mitocondriais COI e 16S de populações de Chrysoperla externa (Hagen, 1861) (Neuroptera: Chrysopidae) de diferentes localidades geográficas

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Análise das relações entre gêneros da subfamília neoplecostominae (Siluriformes: Loricariidae) com base em sequências de DNA

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Análise genética do tubarão-raposa Alopias superciliosus no Oceano Atlântico, utilizando região controle do DNA mitocondrial

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Estrutura cromossômica e caracterização cariotípica no complexo de espécies Synbranchus marmoratus (Teleostei, Synbranchiformes, Synbranchidae)

Pós-graduação em Ciências Biológicas (Genética) - IBB

Filogeografia das espécies de tainha, Mugil liza e M. platanus (Teleostei: Mugiliformes)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Caracterização do transcriptoma e genoma mitocondrial da formiga cortadeira Atta laevigata (Formicidae : Attini)

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)