A Mathematical Model of Glucose-Insulin Interaction

Insulin which is important for normal regulation of glucose metabolism is secreted directly into the blood by the pancreas. When blood glucose increases to a high concentration after glucose intake, insulin secretion also increases. Then, during the succeeding hours, when blood glucose concentration and insulin secretion decrease, the blood glucose concentration goes back into normal level. Insulin resistance is to prevent the efficient uptake and utilization of glucose by cells. Therefore blood glucose concentration increases, cell utilization of glucose falls under insulin resistance circumstance. In this study, interaction between plasma glucose and insulin was analyzed by using Stolwijk and Hardy's model for healthy and insulin resistance conditions. Similar results to clinical studies were observed during simulations that the blood glucose concentration in the insulin resistant state is higher than in the healthy state.