Symmetry groupoids and admissible vector fields for coupled cell networks

The space of admissible vector fields, consistent with the structure of a network of coupled dynamical systems, can be specified in terms of the network's symmetry groupoid. The symmetry groupoid also determines the robust patterns of synchrony in the network – those that arise because of the network topology. In particular, synchronous cells can be identified in a canonical manner to yield a quotient network. Admissible vector fields on the original network induce admissible vector fields on the quotient, and any dynamical state of such an induced vector field can be lifted to the original network, yielding an analogous state in which certain sets of cells are synchronized. In the paper, necessary and sufficient conditions are specified for all admissible vector fields on the quotient to lift in this manner. These conditions are combinatorial in nature, and the proof uses invariant theory for the symmetric group. Also the symmetry groupoid of a quotient is related to that of the original network, and it is shown that there is a close analogy with the usual normalizer symmetry that arises in group-equivariant dynamics

Caracterização fenotípica dos efeitos do QTL ANXRR16 através do uso de ratas das linhagens congênica SLA16 e SHR

TCC(graduação) - Universidade Federal de Santa Catarina. Centro de Ciências Biológicas. Biologia.A maioria dos estudos biomédicos e pré-clínicos utiliza somente machos como animais de experimentação, ignorando as diferenças fisiológicas entre os sexos. Isso pode levar a medicamentos com menor efeito específico e com maior toxicidade para mulheres. Um ponto que alguns pesquisadores argumentam como causa para negligenciar as fêmeas em pesquisas científicas é que elas apresentam grande variação hormonal no seu ciclo estral. Assim, o número de fêmeas deveria ser 4X maior, pois algumas pesquisas mostram que em cada fase do ciclo estral, elas se comportam de maneira distinta. OBJETIVOS- Neste trabalho buscou-se fazer uma caracterização fenotípica dos efeitos do QTL Anxrr16 em fêmeas de duas linhagens de ratos. Materiais e métodos-Para isso, foram testadas as ratas das linhagens congênica SLA16 (n=10) e SHR (N=9), por 4 dias seguidos, no teste triplo (TT) levando em conta o ciclo estral (DP=diestro-proestro e EM=estro-metaestro) (experimento 1). Além disso, avaliou-se a resposta das fêmeas destas duas linhagens, SLA16 (n=20), SHR= (n=20), a um antagonista D2 não seletivo, nos testes do campo aberto e labirinto em cruz elevado (experimento 2). RESULTADOS- No experimento 1, no dia1, as fêmeas DP tiveram maior locomoção central que EM. Já no dia, 4 as fêmeas EM tiveram um maior número de entradas no compartimento claro. No experimento 2, foi observado um efeito farmacogenético no LCE, onde as ratas SHR são menos sensíveis aos efeitos do haloperidol, em comparação as ratas SLA16. CONCLUSÕES- Assim sugere-se que o ciclo estral influencia o comportamento das fêmeas destas linhagens no TT e que os efeitos fenotípicos do QTL Anxrr16 podem ser devidos, ao menos em parte e no LCE, a receptores dopaminérgicos do tipo D2

Illness control and knowledge evaluation on individuals with diabetes mellitus

The Diabetes Mellitus is a disease without cure which affects approximately a half million of Portuguese people. There is an epidemic expansion and appears like the source or motive of several healthy problems. It is a complex disease to control due to numerous factors, in which, the own patient’s care, inadequate food, the sedentarism, the lack of knowledge of the consequences, and others. The main objectives of this work are to evaluate the present glucose in the blood in the collect day; to evaluate the glycol haemoglobin (HbA1c); to evaluate the patient’s knowledge height and care according the diabetes; to report the diary glucose and the glycol haemoglobin rates with the disease knowledge. The study occurs with 54 diabetic individuals of type 2, no dependents of insulin, who are treated in the diabetology appointment from the “Centro Hospitalar Cova da Beira”, both sexes, with ages from 48 to 92. The analyses of the results, reveals in the studied sample that a glycaemia rate was bigger than it was expected for these diseased people, on the other hand, the HbA1c, is in an acceptable rate; there was a very low correlation between the glycaemia and HbA1c ; we also checked that the knowledge don’t set apart according the gender and age and the knowledge don’t influence the glycaemia rates nor the HbA1c

Curiosidades Matemáticas: à descoberta dos Fractais

No Ano Mundial da Matemática – ano 2000, o Departamento de Matemática da ESTV realizou algumas actividades com o intuito de comemorar este evento. Para tal propusemo-nos dinamizar a sessão: “À descoberta dos fractais” para alunos do 2º e 3º ciclos, enquadrada nas “tardes de matemática”. Escolhemos esta sessão por abordar um tema recente e pouco conhecido dos alunos: os objectos fractais, que surgem envoltos num ambiente “mágico” e contemporâneo dos computadore

Comparison of different rules to deal with incomplete information: perspectives of mediation

In bilateral Negotiation Analysis, the literature often considers the case with complete information. In this context, since the value (or utility) functions of both parties are known, it is not difficult to calculate the Pareto frontier (or efficient frontier) and the Pareto efficient solutions for the negotiation. Thus rational actors can reach agreement on this frontier. However, these approaches are not applied in practice when the parties do not have complete information. Considering that the additive value (or utility) function is used, often it is not easy to obtain precise values for the scaling weights or the levels’ value in each issue. We compare four decision rules that require weaker information, namely ordinal information on weights and levels, to help a mediator suggesting an alternative under these circumstances. These rules are tested using Monte-Carlo simulation, considering that the mediator would be using one of three criteria: maximizing the sum of the values, maximizing the product of the excesses regarding the reservation levels, or maximizing the minimal proportion of potential. Simulations asses how good is the alternative chosen by each rule, computing the value loss with respect to the alternative that would be suggested if there was precise cardinal information and determining if the chosen alternative is efficient or, if not, how far is the nearest efficient alternative. We also provide guidelines about how to use these rules in a context of selecting a subset of the most promising alternatives, considering the contradictory objectives of keeping a low number of alternatives yet not excluding the best one. A further issue we investigate is whether using only ordinal information leads to treat one of the parties unfairly, when compared to a situation in which precise cardinal values were used instead

Multi-attribute choice with ordinal information: a comparison of different decision rules

In the context of additive multiattribute aggregation, we address problems with ordinal information, i.e., considering a ranking of the weights (the scaling coefficients). Several rules for ranking alternatives in these situations have been proposed and compared, such as the rank-order-centroid weight, minimum value, central value, and maximum regret rules. This paper compares these rules, together with two rules that had never been studied (quasi-dominance and quasi-optimality) that use a tolerance parameter to extend the concepts of dominance and optimality. Another contribution of this paper is the study of the behavior of these rules in the context of selecting a subset of the most promising alternatives. This study intends to provide guidelines about which rules to choose and how to use them (e.g., how many alternatives to retain and what tolerance to use), considering the contradictory goals of keeping a low number of alternatives yet not excluding the best one. The comparisons are grounded on Monte Carlo simulations

PROTEÇÃO SOCIAL E ACOMPANHAMENTO FAMILIAR: REFLEXÕES SOBRE O TRABALHO NA POLÍTICA DE ASSISTÊNCIA SOCIAL

Resumo O presente trabalho tem como objetivo problematizar alguns dos desafios presentes no desenvolvimento das ações do Estado em relação ao grupo familiar no âmbito da política de assistência social, bem como apontar possíveis potencialidades. Este trabalho é fruto das reflexões acerca do trabalho com famílias sistematizadas no projeto de pesquisa desenvolvido para a qualificação das propostas de estudos de dissertação de mestrado em Serviço Social. Entendendo que o trabalho social com famílias não se dá de forma neutra ou puramente técnica, mas envolve também aspectos éticos, políticos e culturais, as intervenções direcionadas às famílias precisam ser alvo de estudos aprofundados e análises específicas e vinculadas a totalidade da realidade social