Brief note on the variation of constants formula for fuzzy differential equations

This note gives a theory of state transition matrices for linear systems of fuzzy differential equations. This is used to give a fuzzy version of the classical variation of constants formula. A simple example of a time-independent control system is used to illustrate the methods. While similar problems to the crisp case arise for time-dependent systems, in time-independent cases the calculations are elementary solutions of eigenvalue-eigenvector problems. In particular, for nonnegative or nonpositive matrices, the problems at each level set, can easily be solved in MATLAB to give the level sets of the fuzzy solution. (C) 2002 Elsevier Science B.V. All rights reserved.

Chest pain in the dental surgery: A brief review and practical points in diagnosis and management

If a dental patient develops chest pain it must always be managed promptly and properly, i.e., the practitioner immediately stops the procedure and, being aware of the patients's medical history, questions the patient regarding the nature of the pain to help determine the likely diagnosis. It will most likely be a manifestation of coronary artery disease (synonymous with ischaemic heart disease), i.e., angina pectoris or acute myocardial infarction, most usually the former. Angina will usually resolve with proper intervention whereas up to about one-half of myocardial infarction cases will develop cardiac arrest, mostly in the first few hours, and this will be fatal in up to two-thirds of cases. As health care professions, dental practitioners have an inherent duty of care to be able to initiate appropriate care if such a medical emergency occurs.

An evaluation of tobacco brief intervention training in three Indigenous health care settings in north Queensland

Objective: To evaluate the pilot phase of a tobacco brief intervention program in three Indigenous health care settings in rural and remote north Queensland. Methods: A combination of in-depth interviews with health staff and managers and focus groups with health staff and consumers. Results: The tobacco brief intervention initiative resulted in changes in clinical practice among health care workers in all three sites. Although health workers had reported routinely raising the issue of smoking in a variety of settings prior to the intervention, the training provided them with an additional opportunity to become more aware of new approaches to smoking cessation. Indigenous health workers in particular reported that their own attempts to give up smoking following the training had given them confidence and empathy in offering smoking cessation advice. However, the study found no evidence that anybody had actually given up smoking at six months following the intervention. Integration of brief intervention into routine clinical practice was constrained by organisational, interpersonal and other factors in the broader socio-environmental context. Conclusions/implications: While modest health gains may be possible through brief intervention, the potential effectiveness in Indigenous settings will be limited in the absence of broader strategies aimed at tackling community-identified health priorities such as alcohol misuse, violence, employment and education. Tobacco and other forms of lifestyle brief. intervention need to be part of multi-level health strategies. Training in tobacco brief intervention should address both the Indigenous context and the needs of Indigenous health care workers.