MATHEMATICAL MODEL ON GLUCOSE, INSULIN AND Β-CELLS MASS DYNAMICS IN TYPE 2 DIABETES

MATHEMATICAL MODEL ON GLUCOSE, INSULIN AND Β-CELLS MASS DYNAMICS IN TYPE 2 DIABETES

ABSTRACT

A mathematical model, describing glucose, insulin and Ƃ-cells mass dynamics of a type 2 diabetic patient was developed in the form of a system of ordinary differential equation, considering insulin resistance, the body inability to overcome the resistance and the fact that glucose production from food intake is not constant. Numerical solution of the model using RungeKutta code in MATLAB, graphically shows rise in blood glucose concentration and further decline over time in glucose concentration below fasting glucose level as a result of low storage of glucose by the liver from food intake; rise in insulin level and fall in Ƃ-cells mass. Results from the equilibrium and stability analysis are interesting and compare favourably with available medical literature. Simulation of insulin resistance parameters showed that glucose concentration in the body is proportional to insulin resistance rate. Also, insulin resistance in glucose conversion to glycogen has a significant impact on glucose concentration in the blood.