Holomorphic maps between moduli spaces

We prove that every non-constant holomorphic map&em&M&/em&&sub&g,p&/sub&→ &em&M&/em&&sub& g',p'&/sub& between moduli spaces of Riemann surfaces is a forgetful map, provided that g ≥ 6 and g' ≤ 2g-2.

The region of mouse mammary tumor virus DNA containing the long terminal repeat includes a long coding sequence and signals for hormonally regulated transcription.

Starting from a biologically active recombinant DNA clone of exogenous unintegrated GR mouse mammary tumor virus, we have generated three subclones of PstI fragments of 1.45, 1.1, and 2.0 kb in the plasmid vector PBR322. The nucleotide sequence has been determined for the clone of 1.45 kb which includes almost the complete region of the long terminal repeat (LTR) plus an adjacent stretch of unique sequence DNA. A short region of the 2.0 kb clone, containing the beginning of the LTR, has also been sequenced. Starting with the A of an initiation codon outside the LTR, we detected an open reading frame of 960 nucleotides, potentially coding for a protein of 320 amino acids (36K). Two hundred nucleotides downstream from the termination codon, and approximately 25 nucleotides upstream from the presumptive initiation site of viral RNA synthesis, we found a promoter-like sequence. The sequence AGTAAA was detected approximately 15-20 nucleotides upstream from the 3' end of virion RNA and probably serves as a polyadenylation signal. The 1.45 kb PstI fragment has been transfected into Ltk- cells together with a plasmid containing the thymidine kinase gene of herpes simplex virus. The virus-specific RNA synthesis detected in a Tk+ cell clone was strongly stimulated by the addition of dexamethasone.

Implementació dels codis de Golay en el paquet matemàtic SAGE

La motivació del present treball va sorgir de la necessitat de descodificar els codis de Golay, un tipus de codis lineals perfectes, en el paquet matemàtic Sage. Sage és un paquet software de lliure distribució i en actual desenvolupament i popularització destinat a aglutinar les funcionalitats de part dels paquets d'anàlisi matemàtic, calculadors simbòlics i manipuladors algebraics propietaris com Mathematica, Matlab, Maple, Magma. En el document es descriurà la implementació realitzada, destacant-ne els aspectes més rellevants. Per a tal efecte, es donarà una introducció als codis lineals i als seus aspectes matemàtics tant des de la vessant de la definició com de les propietats; i al paquet Sage.

Direct identification of recombinant vaccinia virus plaques by PCR.

A fast method for the identification of recombinant vaccinia viruses directly from individual plaques is described. Plaques are picked, resuspended in PBS-A and processed for PCR using two 'universal' primers. The amplified sequences are analyzed by agarose gel electrophoresis. This procedure allows discrimination between spontaneously arising TK-negative mutants, which do not carry the inserted gene, and the desired TK-negative recombinants resulting from insertional inactivation of the TK gene.

Fronts from complex two-dimensional dispersal kernels: theory and application to Reid's paradox

Bimodal dispersal probability distributions with characteristic distances differing by several orders of magnitude have been derived and favorably compared to observations by Nathan [Nature (London) 418, 409 (2002)]. For such bimodal kernels, we show that two-dimensional molecular dynamics computer simulations are unable to yield accurate front speeds. Analytically, the usual continuous-space random walks (CSRWs) are applied to two dimensions. We also introduce discrete-space random walks and use them to check the CSRW results (because of the inefficiency of the numerical simulations). The physical results reported are shown to predict front speeds high enough to possibly explain Reid's paradox of rapid tree migration. We also show that, for a time-ordered evolution equation, fronts are always slower in two dimensions than in one dimension and that this difference is important both for unimodal and for bimodal kernels

La teoría de Morales-Ramis y el algoritmo de Kovacic

La teor\'\ı a de Morales–Ramis es la teor\'\ı a de Galois en el contextode los sistemas din\'amicos y relaciona dos tipos diferentes de integrabilidad:integrabilidad en el sentido de Liouville de un sistema hamiltonianoe integrabilidad en el sentido de la teor\'\ı a de Galois diferencial deuna ecuaci\'on diferencial. En este art\'\i culo se presentan algunas aplicacionesde la teor\'\i a de Morales–Ramis en problemas de no integrabilidadde sistemas hamiltonianos cuya ecuaci\'on variacional normal a lo largode una curva integral particular es una ecuaci\'on diferencial lineal desegundo orden con coeficientes funciones racionales. La integrabilidadde la ecuaci\'on variacional normal es analizada mediante el algoritmode Kovacic.

Production of human secretory component with dimeric IgA binding capacity using viral expression systems.

The cDNA encoding the NH2-terminal 589 amino acids of the extracellular domain of the human polymeric immunoglobulin receptor was inserted into transfer vectors to generate recombinant baculo- and vaccinia viruses. Following infection of insect and mammalian cells, respectively, the resulting truncated protein corresponding to human secretory component (hSC) was secreted with high efficiency into serum-free culture medium. The Sf9 insect cell/baculovirus system yielded as much as 50 mg of hSC/liter of culture, while the mammalian cells/vaccinia virus system produced up to 10 mg of protein/liter. The M(r) of recombinant hSC varied depending on the cell line in which it was expressed (70,000 in Sf9 cells and 85-95,000 in CV-1, TK- 143B and HeLa). These variations in M(r) resulted from different glycosylation patterns, as evidenced by endoglycosidase digestion. Efficient single-step purification of the recombinant protein was achieved either by concanavalin A affinity chromatography or by Ni(2+)-chelate affinity chromatography, when a 6xHis tag was engineered to the carboxyl terminus of hSC. Recombinant hSC retained the capacity to specifically reassociate with dimeric IgA purified from hybridoma cells.

Effect of age on toxicokinetics among human volunteers exposed to propylene glycol methyl ether (PGME)

Aging adults represent the fastest growing population segment in many countries. Physiological and metabolic changes in the aging process may alter how aging adults biologically respond to pollutants. In a controlled human toxicokinetic study (exposure chamber; 12 m³), aging volunteers (n=10; >58 years) were exposed to propylene glycol monomethyl ether (PGME, CAS no. 107-98-2) at 50 ppm for 6 h. The dose-dependent renal excretion of oxidative metabolites, conjugated and free PGME could potentially be altered by age. AIMS: (1) Compare PGME toxicokinetic profiles between aging and young volunteers (20-25 years) and gender; (2) test the predictive power of a compartmental toxicokinetic (TK) model developed for aging persons against urinary PGME concentrations found in this study. METHODS: Urine samples were collected before, during, and after the exposure. Urinary PGME was quantified by capillary GC/FID. RESULTS: Differences in urinary PGME profiles were not noted between genders but between age groups. Metabolic parameters had to be changed to fit the age adjusted TK model to the experimental results, implying a slower enzymatic pathway in the aging volunteers. For an appropriate exposure assessment, urinary total PGME should be quantified. CONCLUSION: Age is a factor that should be considered when biological limit values are developed.

A novel interferon-gamma regulated human melanoma-associated antigen, gp33-38, defined by monoclonal antibody Me14-D12. II. Molecular cloning of a genomic probe.

The human Me14-D12 antigen is a cell surface glycoprotein regulated by interferon-gamma (IFN-gamma) on tumor cell lines of neuroectodermal origin. It consists of two non-convalently linked subunits with apparent mol. wt sizes of 33,000 and 38,000. Here we describe the molecular cloning of a genomic probe for the Me14-D12 gene using the gene transfer approach. Mouse Ltk- cells were stably cotransfected with human genomic DNA and the Herpes Simplex virus thymidine kinase (TK) gene. Primary and secondary transfectants expressing the Me14-D12 antigen were isolated after selection in HAT medium by repeated sorting on a fluorescence activated cell sorter (FACS). A recombinant phage harboring a 14.3 kb insert of human DNA was isolated from a genomic library made from a positive secondary transfectant cell line. A specific probe derived from the phage DNA insert allowed the identification of two mRNAs of 3.5 kb and 2.2 kb in primary and secondary L cell transfectants, as well as in human melanoma cell lines expressing the Me14-D12 antigen. The regulation of Me14-D12 antigen by INF-gamma was retained in the L cell transfectants and could be detected both at the level of protein and mRNA expression.

Novel mutation in the tyrosine kinase domain of FGFR2 in a patient with Pfeiffer syndrome.

Mutations in the fibroblast growth factor receptor 2 (FGFR2) cause a variety of craniosynostosis syndromes. The mutational spectrum tends to be narrow with the majority of mutations occurring in either exon IIIa or IIIc or in the intronic sequence preceding exon IIIc. Mutations outside of this hotspot are uncommon and the few identified mutations have demonstrated wide clinical variability, making it difficult to establish a clear-cut genotype-phenotype correlation. To better delineate the clinical picture associated with these unusual mutations, we describe a severely affected patient with Pfeiffer syndrome and a missense mutation in the tyrosine kinase (TK) domain of FGFR2.

Desenvolvimento Profissional de Professores de Matemática num Contexto de Formação Pós-Graduada Apoiada pelas TIC

substancial ao desenvolvimento das mais diversas áreas de actividade, entre elas a educação e a formação. O presente trabalho investiga a forma como se processa a aprendizagem e desenvolvimento profissional dos formandos da disciplina Didáctica dos Números e da Álgebra, do Mestrado em Educação, de Didáctica da Matemática, em blended learning no Departamento de Educação da Faculdade de Ciências da Universidade de Lisboa. O quadro teórico centra-se no trabalho colaborativo e processos de interacção de aprendentes, tanto directamente apoiado nas TIC como, em regime de interacção face a face, na identidade profissional do professor e nos processos de aprendizagem/desenvolvimento profissional do professor em serviço. Esta investigação assume um carácter de estudo de caso qualitativo e adopta uma abordagem interpretativa. O estudo incide sobre três grupos de trabalho da disciplina. Foram estudados três formandos (Paulo, Alda e Isis), um de cada grupo. A recolha de dados começou com a observação directa da disciplina (no ano lectivo de 2007/08), nas sessões presenciais iniciais. Foram realizadas quatro entrevistas audiogravadas e integralmente transcritas, a primeira das quais ainda com a disciplina a decorrer. A análise de dados privilegiou essencialmente a análise de discurso dos formandos com as dimensões de análise identificadas tendo em conta o quadro de referência teórico e o material de empírico recolhido. Foram analisados todos os materiais e mensagens constantes na plataforma, relativos a esta disciplina. Os resultados desta investigação apontam para um desenvolvimento profissional significativo dos professores, com implicações nas suas práticas profissionais ao nível (a) da mudança do papel de professor tradicional para professor orientador e dinamizador, assumindo os alunos uma maior preponderância no processo de aprendizagem, (b) da consolidação dos conhecimentos científicos e didácticos, (c) da valorização e apropriação de conhecimentos referentes às novas orientações curriculares para o ensino da matemática, e (d) ao desenvolvimento de estratégias de ensino que valorizam o papel activo do aluno, com tarefas abertas e desafiadoras.

Introdução à Geometria Fractal

No passado, a Matemática esteve, em grande parte, preocupada com conjuntos e funções que podem ser estudados através dos métodos clássicos de cálculo1. Por exemplo, na geometria, Havia o hábito de descrever os objectos através de formas regulares: rectas, circunferências, cones etc. Mas, será que uma nuvem é formada por esferas, uma montanha por cones e continentes por circunferências? Existem alguns objectos na natureza, nas ciências em geral e na matemática, em particular (conjuntos, funções), que não são suficientemente "lisos" e que tendiam a ser ignorados e rotulados como “patológicos” . Tais objectos foram considerados como curiosidades, e assim, estudados e analisados por alguns investigadores ao longo dos tempos. Porém, em 1960, Benoit B. Mandelbrot2, trouxe essa matéria à agenda matemática da actualidade, apresentando uma fundamentação coerente do que seriam essas "não-formas". Refazendo alguns estudos nessa área e conhecendo ideias de outros autores apresentou estudos sobre fractais criando assim a teoria dos fractais ou a geometria fractal. Os fractais caracterizam-se por terem uma aparência complexa e confusa, em certos casos, mas quando olhados matematicamente, sua análise denota figuras que apresentam regularidades e comportamentos curiosos, como o de se assemelharem a elas mesmas quando observadas a diferentes escalas, por exemplo. A geometria fractal é portanto o ramo da Matemática que estuda as propriedades dos fractais. Descreve muitas situações que não podem ser explicadas facilmente pela Geometria Euclidiana. A geometria fractal descreve taambém como os fractais podem ser aplicados na ciência, tecnologia, arte, etc., sobretudo com recurso computadores. A geometria fractal ainda não fez a sua entrada nos programas dematemática no sistema educativo cabo-verdiano, sendo portanto, pouco conhecida nesse meio. Assim escolhemos essa geometria como tema do nosso trabalho, cujo objectivo geral é divulgar o mundo dos fractais e as suas aplicações, na educação. Aprofundar os conhecimentos sobre a geometria fractal e suas aplicações práticas e no ensino, integrar os conhecimentos de Álgebra Linear, Geometria e Topologia adquiridos no curso e aplicar os fractais ao estudo das sucessões (progressões geométricas) são os objectivos específicos. A partir destes objectivos surgiram as nossas questões de investigação, que tentamos responder ao longo do estudo: 1. Como se fundamenta a geometria fractal? 2. Quais são as principais aplicações? 3. Como aplicar os fractais no ensino secundário (sucessões), de modo a tornar o ensino de matemática mais interessante e motivador? Tais são as questões para as quais procuramos uma resposta ao longo do desenvolvimento do projecto.

Planeamento de experiências : modelos e desafios dos planos em blocos incompletos

The main purpose of an Experimental Design resides mainly in the search for relationships between variables and in comparing levels of factors, using statistical treatment of collected data. The use of blocks in Experimental Design is essential because it allows reducing or eliminating the variability introduced by factors that can influence the experience but are not of main interest and/or were not explicitly included during experiments. In this work we present the results of the study and research of Balanced Incomplete Block Designs (BIBD), Balanced Incomplete Block Designs with repeated blocks (BIBDR) and the Incomplete Blocks Designs with blocks with different dimensions (VBBD). We explore some properties and construction methods of such designs and illustrate, when possible, with examples. Based on Block Designs, we present an application of BIBDR in Education, with the aim of comparing five domains of algebraic thinking in a sample of 1st year students of higher education in Cape Verde. For the analysis of sample data, the software R was used, version 2.12.1. We observed that significant differences exist between some of the domains of algebraic thinking, especially among the domains of Generalization of Arithmetic and Algebraic Technicality with the remaining areas. For a more representative sample, we recommend a bigger sample consisting of students from all higher institutions of Cape Verde.

Planeamento de experiências : modelos e desafios dos planos em blocos incompletos

The main purpose of an Experimental Design resides mainly in the search for relationships between variables and in comparing levels of factors, using statistical treatment of collected data. The use of blocks in Experimental Design is essential because it allows reducing or eliminating the variability introduced by factors that can influence the experience but are not of main interest and/or were not explicitly included during experiments. In this work we present the results of the study and research of Balanced Incomplete Block Designs (BIBD), Balanced Incomplete Block Designs with repeated blocks (BIBDR) and the Incomplete Blocks Designs with blocks with different dimensions (VBBD). We explore some properties and construction methods of such designs and illustrate, when possible, with examples. Based on Block Designs, we present an application of BIBDR in Education, with the aim of comparing five domains of algebraic thinking in a sample of 1st year students of higher education in Cape Verde. For the analysis of sample data, the software R was used, version 2.12.1. We observed that significant differences exist between some of the domains of algebraic thinking, especially among the domains of Generalization of Arithmetic and Algebraic Technicality with the remaining areas. For a more representative sample, we recommend a bigger sample consisting of students from all higher institutions of Cape Verde.

Planeamento de experiências : modelos e desafios dos planos em blocos incompletos.

O principal objetivo de um Planeamento de Experiências reside essencialmente na procura de relações entre variáveis e na comparação de níveis de fatores, recorrendo ao tratamento estatístico dos dados recolhidos. A utilização de blocos no Planeamento de Experiências é fundamental, pois permite reduzir ou eliminar a variabilidade introduzida por fatores que podem influenciar a experiência mas que não interessam e/ou não foram explicitamente incluídos durante o planeamento. Neste trabalho apresentamos os resultados do estudo e investigação dos Planos em Blocos Incompletos Equilibrados (BIBD), Planos em Blocos Incompletos Equilibrados com repetição de blocos (BIBDR) e Planos em Blocos Incompletos com blocos de diferentes dimensões (VBBD). Exploramos algumas propriedades e métodos de construção destes planos e ilustramos, sempre que possível, com exemplos. Tendo como base o planeamento em blocos, apresentamos uma aplicação dos BIBDR na área da Educação com o objetivo de comparar cinco domínios do pensamento algébrico de uma amostra de alunos do 1º ano do ensino superior em Cabo Verde. Para a análise dos dados da amostra foi utilizado o software R, versão 2.12.1. Pudemos constatar que existem diferenças significativas entre alguns dos domínios do pensamento algébrico, nomeadamente entre os domínios da Generalização da Aritmética e Tecnicismo Algébrico com os restantes domínios. Recomendamos a escolha de uma amostra mais representativa constituída por alunos de todas as instituições superiores de Cabo Verde