Mathematical Modeling on Diabetes Mellitus under the Administration of Quantitative Diet using Joslin’s principle for various Body Frames

Katiyar, V K and Basavarajappa, K S and Manjunatha, G and Onkarappa, K S and Naik, S S (2009) Mathematical Modeling on Diabetes Mellitus under the Administration of Quantitative Diet using Joslin’s principle for various Body Frames. Indian Journal of Biomechanics. pp. 41-45.

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Abstract

Mathematical model is presented using the administration of palatable composition of quantitative diet and insulin to study hyperglycemia and hypoglycemia. Blood sugar andinsulin levels are calculated under the palatable composition of protein (P), fat (F) and carbohydrate(C). Men and Women aged 25 years and above and juvenile aged ½ year andupto 20 years with three different body frames. Fasting blood glucose 200 mg /100 ml or more and fasting blood glucose above 140mg/100ml with a high post prandial bloodglucose are the conclusive values of hyperglycemia to correlate the non-palatable dietamong the various body frames. In the present model, the inputs of quantitative diets arechosen as 700 to 2700 calories per day for Juvenile (aged ½ year to 20 years), 1300 to 2700 calories per Men and Women (aged 25years and above) with three different bodyframes. Closed form solutions are obtained for solving the simultaneous differentialequations for blood sugar and insulin levels using Joslin’s principle for palatable composition of quantitative diet

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