Speaker:Haiyan Wang,
Department of Mathematical Sciences & Applied Computing at ASU West

Title:Mathematical modeling and qualitative analysis of insulin therapies

Abstract: Several insulin therapies are widely in clinical use with the basic strategy that mimics insulin secretion in normal glucose-insulin endocrine metabolic regulatory system. In this talk, we model the insulin therapies using a DDE model. We study the dynamics of the model both qualitatively and quantitatively. The analytical results show the existence and uniqueness of a stable periodic solution that corresponds to ultradian insulin secretion oscillations. Numerically we simulate the insulin administration based on our model. We confirm the effectiveness of the clinical applications of Replacement Therapy with basal-bolus insulin infusion for diabetes.