A stochastic vasicek model for the glucose –Induced glucagon – like peptide 1 secretion is deficient in patients with non - alcoholic fatty liver disease. Dr. Kumar P. Senthil1,*, Sundari D. Sarguna2,** 1Assistant Professor, Department of Mathematics, Rajah Serfoji Government College, Thanjavur, India 2Assistant Professor, Department of Mathematics, Bharath College of Science & Management, Thanjavur, India *Email: senthilscas@yahoo.com
**laerieljudson@gmail.com
2000 Mathematics subject Classification: 60H10, 60H05 Online published on 10 February, 2015. Abstract The incretins glucagon like peptide -1 (GLP-1) is one of the gastrointestinal peptide hormones regulating postprandial insulin release secreted from pancreatic - cells. GLP-1 agonism is a treatment strategy in Type 2 diabetes and is estimated in Non- alcoholic fatty liver disease NAFLD. Since GLP1 can stimulate insulin Secretion from the pancreas and alleviate type 2 diabetes. In this paper we determine the secretion of incretins after oral glucose administration in Non- diabetic NAFLD patients. In risk management and in the rating practice it is desirable to grasp the essential statistical features of a time series representing a risk factor to begin a detailed technical analysis of the product or the entity under scrutiny. This paper introduces a number of risk management applications. The model developed here suffice for the first step in Quantitative analysis. The broad qualitatives features here is mean reversion under the mean reverting processes the Vasicek model is one of the earliest stochastic models of the short term interest rate. St = b + aSs + c ∈ (t) Top Keywords Stochastic processes, mean reversion vasicek model, glucagon like peptide-1, Non alcoholic fatty liver disease. Top |