Decay chain differential equations: Solution through matrix algebra

A matricial method to solve the decay chain differential equations system is presented. The quantity of each nuclide in the chain at a time t may be evaluated by analytical expressions obtained in a simple way using recurrence relations. This method may be applied to problems of radioactive buildup and decay and can be easily implemented computationally. (C) 2009 Elsevier B.V. All rights reserved.

Estimating the True Incidence of Rubella

The true incidence of infectious diseases is difficult to determine from surveillance or from notification data. The proportion of new infections of rubella yields a model from serological surveys. The discrepancy between results and official notification data before vaccination era leads one to suspect the presence of hidden infections. Simulation on 80% of effective vaccination coverage shows a similar discrepancy of the total number of infections compared to notification data.

Dynamics and Control of Stray Dog Populations

The population dynamics of stray dogs is simulated to assess the effects of sterilization and euthanasia. From simulations representing less than 5 years, sterilization is less efficient than euthanasia to reduce the stray dog population, considering similar rates, but the total number of sterilized dogs is less than the total number of euthanized dogs per km(2) per year. Over 20 years, both strategies have similar efficiency. Beyond a certain rate of dog abandonment, both strategies are inefficient.

Untreated Dental Caries in a Brazilian Paediatric AIDS Patient Population

Purpose: The objective of the present study was to assess the prevalence of untreated caries in a Brazilian paediatric acquired immunodeficiency syndrome (AIDS) patient population and its association with sociodemographic, behavioural and clinical characteristics. Materials and Methods: The study group was comprised of 125 HIV-infected patients (aged 3 to 15 years) who had already manifested AIDS and were assisted in a specialised health care unit. Dental examinations followed the World Health Organization`s guidelines for oral health surveys. Family caregivers provided information about the socioeconomic standing and the behaviour of their children. Patients` medical records in the hospital provided information on the clinical status of patients. A Poisson regression analysis was used for assessing the covariates for the prevalence of untreated dental caries, as adjusted by age. Results: The prevalence of untreated caries was 58%; a higher prevalence was found in younger children with primary and mixed dentition. The prevalence of untreated caries associated significantly with lower socioeconomic status (household crowding and schooling of the caregiver), dietary habits (higher frequency of sugar consumption) and poorer clinical status (HIV viral load and symptom severity). Conclusions: The high burden of untreated caries on paediatric AIDS patients reinforced the importance of integrating the clinician with the interdisciplinary health care team that assisted these children. The identification of socioeconomic and behavioural factors associated with caries experience reinforced the importance of the attention that children with AIDS received within their own households for the prevention of dental disease, particularly a proper nutritional advisement and monitoring of dental hygiene.

A modified orthodontic protocol for advanced periodontal disease in Class II division 1 malocclusion

An interdisciplinary approach is often the best option for achieving a predictable outcome for an adult patient with complex clinical problems. This case report demonstrates the combined periodontal/orthodontic treatment for a 49-year-old woman presenting with a Class II Division 1 malocclusion with moderate maxillary anterior crowding, a 9-mm overjet, and moderate to severe bone loss as the main characteristics of the periodontal disease. The orthodontic treatment included 2 maxillary first premolar extractions through forced extrusion. Active orthodontic treatment was completed in 30 months. The treatment outcomes, including the periodontal condition, were stable 17 months after active orthodontic treatment. The advantages of this interdisciplinary approach are discussed. Periodontally compromised orthodontic patients can be satisfactorily treated, achieving most of the conventional orthodontic goals, if a combined orthodontic/periodontic approach is used. (Am J Orthod Dentofacial Orthop 2011; 139:S133-44)