The Siberian Scientific Medical Journal
№ 1 / 2016 / 29-35

A numerical algorithm of parameter estimation for dynamic model for HIV infection of CD4+ T cells

Author Affiliations


The problem of the values approximation of 6 coefficients of the HIV infection basic model – so-called the inverse problem has been computationally investigated by the complementary measurements of viremia and target cells blood concentrations through the fixed timing. The inverse problem for HIV dynamic model has been reduced to the problem of objective functional minimization. The 6-dimensional Nelder-Mead algorithm has been implemented to the minimization task realization. The proposed algorithm demonstrates the good convergence with probability of 17 % for the fairly small interval range of unknown coefficients relating to average mean (about 33% of the total bandwidth between experimental extreme coefficients values). The numerical experiment results has been performed and discussed.

Key words

Nelder-Mead method, inverse problem, optimization algorithm, parameter estimation, HIV infection
About Authors (Correspondence):

Kabanikhin S.I. – doctor of physical and mathematical sciences, corresponding member of RAS, professor, director, e-mail:

Krivorotko O.I. – candidate of physical and mathematical sciences, junior researcher, senior lecturer of the chair for advanced mathematics, e-mail:

Mortier Adele – student, e-mail:

Voronov D.A. – senior lecturer of the chair for advanced mathematics, e-mail:

Yermolenko D.V. – student, e-mail:

Full Text

Received: 21/03/2016
Accepted: 02/01/1970