Fractional pennes' bioheat equation: theoretical and numerical studies

In this work we provide a new mathematical model for the Pennes’ bioheat equation, assuming a fractional time derivative of single order. Alternative versions of the bioheat equation are studied and discussed, to take into account the temperature-dependent variability in the tissue perfusion, and both finite and infinite speed of heat propagation. The proposed bioheat model is solved numerically using an implicit finite difference scheme that we prove to be convergent and stable. The numerical method proposed can be applied to general reaction diffusion equations, with a variable diffusion coefficient. The results obtained with the single order fractional model, are compared with the original models that use classical derivatives.

A new and efficient synthesis of N3-cycloalkylamino-6,8-diaminopurines

[Excerpt] The purine core is a privileged scaffold in medicinal chemistry and the biological relevance of purine derivatives makes them attractive targets in the preparation of combinatorial libraries.1,2 In particular, there is a great interest in the synthesis of 8-substituted purines due to their important potential as antiviral and anticancer agents.3 Reports on 8-aminopurines are limited and general methods to obtain these purine derivatives are still needed.4 Cyclic amines and hydrazines are key structural motifs in various bioactive agents.5 Here we report a novel, efficient and inexpensive method for the synthesis of 6,8-diaminopurines 4 incorporating cycloalkylamino substituents at N3position of the purine ring. (...)

A new and efficient synthesis of benzoimidazopurine derivatives

[Excerpt] Purine nucleobases are essential biomolecules in living organisms. Playing several key roles in the cell, they have been a significant inspiration for drug design.1 Benzimidazole nucleus is an important pharmacophore in the development of molecules with pharmaceutical or biological interest. Benzimidazoles have been reported to display significant pharmacological activities such as antiulcer, antifungal, antiparkinson, anticancer and antibiotic.2 Fused structures incorporating these two scaffolds might be important for medicinal chemistry and, to the best of our knowledge, there are no reports of these systems in the literature. In particular, benzo[4,5]imidazo[2,1]purines seem to be novel and must be important target molecules in the heterocyclic synthesis. (...)

Preschool education in Brazil: does public supply crowd out private enrollment?

Expanding access to preschool education is a particularly important policy issue in developing countries, where enrollment rates are generally much lower, and where private institutions constitute a much larger share of the formal preschool sector, than in developed countries. This paper examines if an expansion in the supply of public preschool crowds-out private enrollment using rich data for municipalities in Brazil from 2000 to 2006, where federal transfers to local governments change discontinuously with given population thresholds. Results from a regression-discontinuity design reveal that larger federal transfers lead to a significant expansion of local public preschool services, but show no evidence of crowding-out of private enrollment, nor of negative impacts on the quality of private providers. This finding is consistent with a theory in which households differ in willingness-to-pay for preschool services, and private suppliers optimally adjust prices in response to an expansion of lower-quality, free-of-charge public supply. In the context of the model, the absence of crowding-out effects of more public preschool providers can be rationalized by the existence of relatively large differences in willingness-to-pay for preschool services across different demand segments. Our theoretical and empirical findings therefore suggest that in developing country settings characterized by relatively high income inequality, an expansion in public preschool supply will likely significantly increase enrollment among the poorest segments of society, and need not have adverse effects on the quantity or quality of local private supply.

Ajustamento da criança à separação ou divórcio dos pais

Objetivo: O presente artigo procura relacionar e analisar evidências empíricas e teóricas sobre o impacto e os fatores associados ao impacto da separação ou divórcio dos pais no ajustamento da criança. Método: Realizou-se uma revisão agregativa da literatura, recorrendo às palavras-chave “divorce adjustment”, “child divorce” e “divorce impact”, nas bases de dados JSTOR, PsycInfo, SciELO e Medline e em livros da especialidade. Resultados: Respostas adaptativas e desadaptativas da criança são descritas, assim como potenciais resultados positivos. São principalmente discutidos os fatores mediadores e moderadores frequentemente referenciados na literatura no impacto da separação ou divórcio dos pais no ajustamento da criança. Entre esses estão: características da criança, problemas financeiros, sintomatologia psicopatológica dos pais, qualidade das práticas parentais e conflito interparental. Conclusão: Com base nas evidências empíricas e perspectivando o divórcio como uma transição desenvolvimental, levantamos a hipótese de que os problemas de ajustamento apresentados pelas crianças com pais divorciados possam ser mais bem explicados por outros fatores do que pelo divórcio/separação per se. Finalmente assumimos uma inovação conceptual de que essa transição familiar pode significar uma oportunidade de crescimento e de promoção desenvolvimental.

Mobilidade social, identidade e valores: o regresso de emigrantes no Minho

Dissertação de mestrado em Sociologia (área de especialização em Políticas Comunitárias e Cooperação Territorial)