A mathematical model for insulin kinetics and its application to protein-deficient (malnutrition-related) diabetes mellitus (PDDM)

A nonlinear mathematical model which incorporates both beta-cell kinetics and a glucose-insulin feedback system is proposed for describing the time variations of plasma glucose and insulin levels. Numerical simulations show that this model is consistent with experimental observations on normal groups. An analysis of the changes in the solutions with variations in the parameters showed that a decrease in a single parameter gave results consistent with experimental findings in protein-deficient (malnutrition-related) diabetes mellitus (PDDM). The model predicts that it is the function and not the number of beta cells which is reduced in PDDM.