Journal:Informatica
Volume 11, Issue 1 (2000), pp. 87–96
Abstract
A system of two nonlinear difference-differential equations which is a mathematical model of self-regulation of glucose level in blood with time delay into consideration of insulin “age structure” is presented. The analysis carried out by qualitative and numerical methods allows us to conclude, that the mathematical model explains the functioning of the physiological system “insulin-blood glucose” in normal and pathological cases.
Journal:Informatica
Volume 6, Issue 1 (1995), pp. 15–33
Abstract
This paper deals with mathematical modelling of diabetes mellitus. A recent classification of diabetes mellitus is given and a new approach in constructing a mathematical model of this disease is described. The aim of mathematical modelling is to help a patient and his doctor in management of diabetes. The algorithms for solving inverse problems of coefficients reconstruction are investigated. Results of computational experiments are given.