Some algorithms in mathematical modelling of diabetes mellitus

Article type: Research Article

Authors: Čiegis, Raimondas | Meilūnas, Mečys

Affiliations: Institute of Mathematics and Informatics, 2600 Vilnius, Akademijos St. 4, Lithuania | Vilnius University, Computer Centre, 2600 Vilnius, Saulėtekio St. 9, Lithuania

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.

Keywords: mathematical models, inverse problems, least-square algorithms, regularization methods, diabetes mellitus

DOI: 10.3233/INF-1995-6102

Journal: Informatica, vol. 6, no. 1, pp. 15-33, 1995