Application of the Variance Function of the Difference Between two estimated responses in regulating Blood Sugar Level in a Diabetic patient using Herbal Formula

Abstract

In this paper response surface methodology has been employed in investigating effectiveness of herbal formula (a mix of six herbs) in regulating the blood sugar level of a diabetic to within acceptable levels. In the experimentation phase, observations are made to investigate the effectiveness for particular level of concentration at regulating the blood sugar level with time. The most feasible of all the identified points of equal yield has been identified as one in which the variance function is minimal. In this investigative research we use the variance function of the difference between two points to provide reliable advice on the range around which the dosage is desirable and time required to effectively regulate the blood sugar level to within acceptable range. In the set up the herbal formula extract has been shown to have successfully regulated the blood sugar level in a diabetic to 11.3898 mMol/L. This is possible by effecting a treatment of herbal formula at a concentration of 66.1125 mg/dl and the effectiveness is within 175.4580 minutes upon treatment.