Preferential attachment growth model and nonextensive statistical mechanics

We introduce a two-dimensional growth model where every new site is located, at a distance $r$ from the barycenter of the pre-existing graph, according to the probability law $1/r^{2+\alpha_G} (\alpha_G \ge 0)$, and is attached to (only) one pre-existing site with a probability $\propto k_i/r^{\alpha_A}_i (\alpha_A \ge 0$; $k_i$ is the number of links of the $i^{th}$ site of the pre-existing graph, and $r_i$ its distance to the new site). Then we numerically determine that the probability distribution for a site to have $k$ links is asymptotically given, for all values of $\alpha_G$, by $P(k) \propto e_q^{-k/\kappa}$, where $e_q^x \equiv [1+(1-q)x]^{1/(1-q)}$ is the function naturally emerging within nonextensive statistical mechanics. The entropic index is numerically given (at least for $\alpha_A$ not too large) by $q = 1+(1/3) e^{-0.526 \alpha_A}$, and the characteristic number of links by $\kappa \simeq 0.1+0.08 \alpha_A$. The $\alpha_A=0$ particular case belongs to the same universality class to which the Barabasi-Albert model belongs. In addition to this, we have numerically studied the rate at which the average number of links $$ increases with the scaled time $t/i$; asymptotically, $\propto (t/i)^\beta$, the exponent being close to $\beta={1/2}(1-\alpha_A)$ for $0 \le \alpha_A \le 1$, and zero otherwise. The present results reinforce the conjecture that the microscopic dynamics of nonextensive systems typically build (for instance, in Gibbs $\Gamma$-space for Hamiltonian systems) a scale-free network.Comment: 5 pages including 5 figures (the original colored figures 1 and 5a can be asked directly to the authors

Módulo 9 - Tópicos especiais em ética, educação em saúde e modelos de seguimento farmacoterapêutic

O Módulo está organizado em três unidades de aprendizagem: Ética e medicalização, Educação em saúde e Modelos de seguimento farmacoterapêuticos. Tais conteúdos objetivam complementar a formação do aluno em Gestão da Assistência Farmacêutica. Desta forma, a primeira unidade objetiva aprofundar o conceito de ética e bioética, fazendo a ligação com a prática profissional. Na segunda unidade, são discutido os modelos de práticas educativas em saúde e a relação da educação em saúde com a promoção da saúde. E por fim, a unidade 3 objetiva discutir o seguimento farmacoterapêutico (SFT), serviço farmacêutico que transcende os objetivos e as atividades clássicas da assistência farmacêutica.Ministério da Saúd