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  • 1
    ISSN: 1432-0428
    Keywords: Sucrose ; carbohydrate ; diabetic diet ; metabolic control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The effects of regularly eating sucrose were studied in 23 diabetic patients, 12 Type 1 (insulin-dependent) and 11 Type 2 (non-insulin-dependent), with differing degrees of glycaemic control. Two diets, each lasting 6 weeks, were compared in a randomised cross-over study. Both diets were high in fibre and low in fat. In one diet 45 g of complex carbohydrate was replaced by 45 g of sucrose taken at mealtimes. There were no significant biochemical differences between the two diets in either Type 1 or Type 2 patients. In Type 1 patients the mean (±SEM) fasting plasma glucose was 10.5 (1.8) mmol/1 on the control diet and 10.3 (1.5) mmol/1 on sucrose. In Type 2 patients the levels were 9.1 (0.8) mmol/1 and 8.9 (0.8) mmol/l respectively. Glycosylated haemoglobin for the Type 1 patients was 9.9% on control and 10.3% on sucrose; for Type 2 patients the figures were 9.3% and 9.0% respectively. There were no differences in mean daily plasma glucose levels or diurnal glucose profiles. Cholesterol (total and in lipoprotein fractions) was unchanged, as were diurnal triglyceride profiles and plasma insulin profiles in the Type 2 patients. There were no changes in medication or body weight. We conclude that a moderate amount of sucrose taken daily at mealtimes does not cause deterioration in metabolic control in diabetic patients following a high fibre/low fat diet.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 13 (1974), S. 56-73 
    ISSN: 1573-2878
    Keywords: Sensitivity analysis ; control theory ; mathematical programming ; method of multipliers ; Banach spaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Two types of interpretations of multipliers in both static and dynamic optimization problems are described. It is snown that the Lagrange multipliers encountered in mathematical programming problems and the auxiliary functions arising in Pontryagintype optimal control problems sometimes have highly analogous interpretations as rates of change of the optimal attainable value of an objective function, or in some cases as bounds on average rates of change.
    Type of Medium: Electronic Resource
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