*Assistant Professor, Department of Mathematics, Rajah Serfoji Government Arts College, Thanjavur, Tamilnadu, India, E-mail: senthilscas@yahoo.com
**Assistant Professor, Department of Basic Science and Humanities, Ponnaiyah Ramajayam, Engineering college, Thanjavur, Tamilnadu, India, E-mail: abijai100@gmail.com
2010 Mathematics Subject Classification: 60G50; 60G51;60G55
To evaluate the Glucose dependent insulinotropic polypeptide (GIP) gastrointestinal peptide hormone regulating postprandial insulin release from pancreatic Beta-cells. The standardized oral glucose tolerance test was performed between n=52 patients and n=28 healthy controls. GIP levels were measured sequentially for 120 minutes, after glucose administration. GIP secretion was unchanged. There is no difference in GIP secretion between patients and healthy controls. In this paper, the problem is investigated considering Yule process and estimation of convex function with focus on exponential or Markovian case.
Incretin effect, β-cells, Yule process, CMJ process
