Estimation of delay distribution in hiv dynamics

Anastasia Ushakova

Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway

Abstract: In this paper we present two methods of estimating a delay distribution in biological dynamical systems. The model of HIV infection serves as an example of such systems. The first method is based on parametric approach and on approximation of the delay density by a gamma-density. The second method is nonparametric and is based on solution of a convolution equation with selection of the regularization parameter from a parametric start.

Language: English