Percolation and epidemics in a two-dimensional small world

Percolation on two-dimensional small-world networks has been proposed as a model for the spread of plant diseases. In this paper we give an analytic solution of this model using a combination of generating function methods and high-order series expansion. Our solution gives accurate predictions for quantities such as the position of the percolation threshold and the typical size of disease outbreaks as a function of the density of "shortcuts" in the small-world network. Our results agree with scaling hypotheses and numerical simulations for the same model.Comment: 7 pages, 3 figures, 2 table

Effect of the chronic treatment with aqueous extract of Caesalpinia ferrea and Chrysobalanus icaco on the vascular reactivity of diabetic rats

Caesalpinia ferrea and Chrysobalanus icaco are plants commonly used by the folk medicine for the treatment of diabetes mellitus. In this work, the effects of the chronic treatment with aqueous extracts of C. ferrea (AECF) and C. icaco (AECI) on the vascular reactivity of alloxan-induced diabetic rats were evaluated. In rings of mesenteric artery, AECF and AECI were not able to modify the contractions induced by phenylephrine or relaxations induced by carbachol. However, treatment with AECI was able to prevent the potentiation of the relaxations induced by sodium nitroprusside in diabetic rats. In brief, this study found possible benefits of the treatment with C. icaco on the reactivity vascular of diabetic rats.Colegio de Farmacéuticos de la Provincia de Buenos Aire