Adaptive Penalty and Barrier function based on Fuzzy Logic

Optimization methods have been used in many areas of knowledge, such as Engineering, Statistics, Chemistry, among others, to solve optimization problems. In many cases it is not possible to use derivative methods, due to the characteristics of the problem to be solved and/or its constraints, for example if the involved functions are non-smooth and/or their derivatives are not know. To solve this type of problems a Java based API has been implemented, which includes only derivative-free optimization methods, and that can be used to solve both constrained and unconstrained problems. For solving constrained problems, the classic Penalty and Barrier functions were included in the API. In this paper a new approach to Penalty and Barrier functions, based on Fuzzy Logic, is proposed. Two penalty functions, that impose a progressive penalization to solutions that violate the constraints, are discussed. The implemented functions impose a low penalization when the violation of the constraints is low and a heavy penalty when the violation is high. Numerical results, obtained using twenty-eight test problems, comparing the proposed Fuzzy Logic based functions to six of the classic Penalty and Barrier functions are presented. Considering the achieved results, it can be concluded that the proposed penalty functions besides being very robust also have a very good performance.

Utilização de co-solventes na produção de biodiesel a partir de óleo residual e etanol por catálise enzimática

A constante e sistemática subida de preço dos combustíveis fósseis e as contínuas preocupações com o meio ambiente determinaram a procura de soluções ambientalmente sustentáveis. O biodiesel surge, então, como uma alternativa para essa problemática, bem como uma solução para resíduos líquidos e gordurosos produzidos pelo ser humano. A produção de biodiesel tem sido alvo de extensa atenção nos últimos anos, pois trata-se de um combustível biodegradável e não poluente. A produção de biodiesel pelo processo de transesterificação usando álcoois de cadeia curta e catalisadores químicos, nomeadamente alcalinos, tem sido aceite industrialmente devido à sua elevada conversão. Recentemente, a transesterificação enzimática tem ganho adeptos. No entanto, o custo da enzima permanece uma barreira para a sua aplicação em grande escala. O presente trabalho visa a produção de biodiesel por transesterificação enzimática a partir de óleo residual de origem vegetal. O álcool usado foi o etanol, em substituição do metanol usado convencionalmente na catálise homogénea, pois a atividade da enzima é inibida pela presença deste último. As maiores dificuldades apresentadas na etanólise residem na separação das fases (Glicerol e Biodiesel) após a reação bem como na menor velocidade de reação. Para ajudar a colmatar esta desvantagem foi estudada a influência de dois cosolventes: o hexano e o hexanol, na proporção de 20% (v/v). Após a escolha do co-solvente que permite obter melhor rendimento (o hexano), foi elaborado um planeamento fatorial no qual se estudou a influência de três variáveis na produção de biodiesel por catálise enzimática com etanol e co-solventes: a razão molar óleo/álcool (1:8, 1:6 e 1:4), a quantidade de co-solvente adicionado (30, 20 e 10%, v/v) e o tempo de reação (48, 36 e 24h). A avaliação do processo foi inicialmente seguida pelo rendimento da reação, a fim de identificar as melhores condições, sendo substituída posteriormente pela quantificação do teor de ésteres por cromatografia em fase gasosa. O biodiesel com teor de ésteres mais elevado foi produzido nas condições correspondentes a uma razão molar óleo:álcool de 1:4, com 5g de Lipozyme TL IM como catalisador, 10% co-solvente (hexano, v/v), à temperatura de 35 ºC durante 24h. O rendimento do biodiesel produzido sob estas condições foi de 73,3%, traduzido em 64,7% de teor de ésteres etílicos. Contudo o rendimento mais elevado que se obteve foi de 99,7%, para uma razão óleo/álcool de 1:8, 30% de co-solvente (hexano, v/v), reação durante 48h a 35 ºC, obtendo-se apenas 46,1% de ésteres. Por fim, a qualidade do biodiesel foi ainda avaliada, de acordo com as especificações da norma EN 14214, através das determinações de densidade, viscosidade, ponto de inflamação, teor de água, corrosão ao cobre, índice de acidez, índice de iodo, teor de sódio (Na+) e potássio (K+), CFPP e poder calorífico. Na Europa, os ésteres etílicos não têm, neste momento, norma que os regule quanto à classificação da qualidade de biodiesel. Contudo, o biodiesel produzido foi analisado de acordo com a norma europeia EN14214, norma esta que regula a qualidade dos ésteres metílicos, sendo possível concluir que nenhum dos parâmetros avaliados se encontra em conformidade com a mesma.

Effects of a home-based exercise program in body composition, abdominal fat and lipid profile in patients with coronary artery disease

Introduction: Coronary artery disease and aging seems to be associated with a sedentary lifestyle, contributing to increased abdominal fat and consequently metabolic complications. The exercise can break this cycle by stimulating lipolysis and the use of fatty acids. In Europe there is still a lack of cardiac rehabilitation programmes in hospitals, therefore, this study aims to demonstrate the advantages of implementing home-based exercise programmes, as well as, their effects on cardiovascular prevention. This study analyzed the effects of a home-based exercise programme, in patients with coronary artery disease (myocardial infarction for 1 year), in body composition, abdominal fat, lipid profile. Methods: An ongoing randomized controlled trial with a sample of 20 participants were randomly allocated to intervention (n = 10) and control groups (n = 10). Intervention group performed a specific exercise programme during 8 weeks, consisting of ten home based exercises taking into account flexibility, muscle endurance and strength as well as cardiovascular endurance. Skinfolds thickness were measure to calculate the percentage of total fat: Skinfolds used were suprailiac, abdominal horizontal and vertical. Body mass index calculation and blood tests for lipidic profile were performed. Results: After eight weeks the intervention group decreased significantly the percentage of total fat (p < 0.05), the suprailiac skinfold (p < 0.05), the abdominal horizontal and vertical skinfold (p < 0.05) when compared with control group. In the intervention group it was observed after 8 weeks a significant decrease in body mass index, LDL-cholesterol and triglycerides. Conclusions: Home-based exercise programme influenced body composition, abdominal fat and lipid profile. These results highlight the importance of implementing home based exercises that are easy and cheap to implement in cardiac patients, in order to promote health and reduce cardiovascular risk factors.

Effects of microcurrents and physical exercise on the abdominal fat: a randomized controlled trial in patients with coronary artery disease

Objectives: Coronary artery disease are associated with decreased levels of physical activity, contributing to increases in abdominal fat and consequently the metabolic risk. The use of microcurrents is an innovative and effective method to increase lipolytic rate of abdominal adipocytes. This study aims to investigate the effects of microcurrents with a homebased exercise program on total, subcutaneous and visceral abdominal adipose tissue in subjects with coronary artery disease. Methods: This controlled trial included 44 subjects with myocardial infarction, randomly divided into Intervention Group 1 (IG1; n = 16), Intervention Group 2 (IG2; n = 12) and Control Group (CG; n = 16). IG1 performed a specific exercise program at home during 8 weeks, and IG2 additionally used microcurrents on the abdominal region before the exercise program. All groups were subjected to health education sessions. Computed Tomography was used to evaluate abdominal, subcutaneous and visceral fat, accelerometers to measure habitual physical activity and the semiquantitative Food Frequency Questionnaire for dietary intake. Results: After 8 weeks, IG2 showed a significantly decreased in subcutaneous fat (p ≤ 0.05) when compared to CG. Concerning visceral fat, both intervention groups showed a significant decrease in comparison to the CG (p ≤ 0.05). No significant changes were found between groups on dietary intake and habitual physical activity, except for sedentary activity that decreased significantly in IG2 in comparison with CG (p ≤ 0.05). Conclusions: This specific exercise program showed improvements in visceral fat in individuals with coronary artery disease. Microcurrent therapy associated with a home-based exercise program suggested a decreased in subcutaneous abdominal fat.

Effects of the Mediterranean diet and exercise in subjects with coronary artery disease

Introduction The association of the Mediterranean diet and exercise appears to have a protective role, reducing cardiovascular risk. This study investigated the effects of education sessions on the Mediterranean diet and an exercise program in modifying eating behaviors, body composition and abdominal fat. Methods An experimental study was performed on 20 subjects with known coronary heart disease randomly assigned to experimental (n=10) and control (n=10) groups. Both groups received education sessions on the Mediterranean diet, but the experimental group also followed an eight-week program of specific exercises. A semiquantitative food frequency questionnaire was administered to analyze food intake, bioimpedance was used to measure weight, fat mass and lean mass, and waist circumference was measured to calculate waist-to-height ratio. Results After eight weeks, protein (p<0.05) and cholesterol (p<0.05) intake in the experimental group had decreased significantly compared with the control group. Between the beginning and end of the study, there were significant decreases in the control group in carbohydrate (p<0.05) and saturated fat intake (p<0.05). In both groups the percentage of total fat (p<0.05) and fat mass (p<0.05) was significantly decreased. In the experimental group the waist-to-height ratio was significantly reduced (p<0.05). Conclusion The Mediterranean diet reduced carbohydrate and saturated fat intake, reflected in reduced fat mass. The association of the exercise program showed additional benefits in reduction of protein and cholesterol intake and abdominal fat.

Effects of microcurrents and physical exercise on the abdominal fat in patients with coronary artery disease

Introduction Coronary artery disease is associated with decreased levels of physical activity, contributing to increases in abdominal fat and consequently increasing metabolic risk. The innovative use of microcurrents may be an effective method to increase the lipolytic rate of abdominal adipocytes. This study aimed to investigate the effects of utilizing microcurrents in a home-based exercise program in subjects with coronary artery disease to assess changes in total, subcutaneous and visceral abdominal adipose tissue. Methods This controlled trial included 44 subjects with myocardial infarction, randomly divided into Intervention Group 1 (IG1; n = 16), Intervention Group 2 (IG2; n = 12) and Control Group (CG; n = 16). IG1 performed a specific exercise program at home during 8 weeks, and IG2 additionally used microcurrents on the abdominal region before the exercise program. All groups were given health education sessions. Computed tomography was used to evaluate abdominal, subcutaneous and visceral fat, accelerometers to measure habitual physical activity and the semi-quantitative food frequency questionnaire for dietary intake. Results After 8 weeks, IG2 showed a significantly decrease in subcutaneous fat (p ≤ 0.05) when compared to CG. Concerning visceral fat, both intervention groups showed a significant decrease in comparison to the CG (p ≤ 0.05). No significant changes were found between groups on dietary intake and habitual physical activity, except for sedentary activity that decreased significantly for IG2 in comparison with CG (p ≤ 0.05). Conclusion This specific home-based exercise program using microcurrent therapy for individuals with coronary artery disease showed improvements in visceral and subcutaneous abdominal fat.