Oral health in transition: the case of Indigenous peoples from Brazil

The objective of this paper is to summarise epidemiological information about the distribution of dental caries among Indigenous peoples in Brazil. The authors also present a case study of a specific group of Xavante Indians, one of the most numerous of Brazil`s Indigenous peoples, describing how their oral health has deteriorated over recent decades, and showing how an oral health programme is attempting to reverse the present trend of increase in caries. The programme at Etenheritipa Xavante village incorporated three principal components: educational, preventive, and clinical. From the beginning, the programme included epidemiological record keeping for monitoring the level of caries in the population. Transversal studies of the condition of oral health among the Xavante of Etenheritipa were undertaken in 1999, 2004, and 2007. In the period from 2004 to 2007 the DMFS values in the 11-15 age cohort had a significant reduction in caries experience. The mean DMFS score fell from 4.95 in 2004 to 2.39 in 2007 (p<0.01). An increase in the percent of individuals who were free from caries was also noted: in 1999, 20% of adolescents 11-15 had no caries; in 2007, the proportion had risen to 47%. The Xavante case is a prime example of the transition in oral health that is taking place among the Indigenous peoples of the Americas, and it highlights the importance of oral health promotion through preventive measures such as access to fluoridation and basic care in reducing the inequality between Indians and non-Indians.

Identifying the borders of mathematical knowledge

Based on a divide and conquer approach, knowledge about nature has been organized into a set of interrelated facts, allowing a natural representation in terms of graphs: each `chunk` of knowledge corresponds to a node, while relationships between such chunks are expressed as edges. This organization becomes particularly clear in the case of mathematical theorems, with their intense cross-implications and relationships. We have derived a web of mathematical theorems from Wikipedia and, thanks to the powerful concept of entropy, identified its more central and frontier elements. Our results also suggest that the central nodes are the oldest theorems, while the frontier nodes are those recently added to the network. The network communities have also been identified, allowing further insights about the organization of this network, such as its highly modular structure.