Work

Time-adaptive optimization in a parameter identification problem of HIV infection

Year: 2019

Type: preprint

Abstract: The paper considers a time-adaptive method for determination of drug efficacy in a parameter identification problem (PIP) for system of ordinary differential equations (ODE) which describe dynamics of the primary HIV infection. Optimization approach to solve this problem is presented and a posteriori error estimates in the Tikhonov functional and Lagrangian are formulated. Based on these estimates a time adaptive algorithm is formulated and numerically tested for different scenarios of noisy observations of virus population function. Numerical results show significant improvement of reconstruction of drug efficacy parameter when using time adaptive mesh refinement compared to usual gradient method applied on a uniform time mesh.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1912.01112

Authors: Beilina, L., Gainova, I.

Institutions: Chalmers University of Technology, University of Gothenburg, Sobolev Institute of Mathematics

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: green

Funders: Russian Foundation for Basic Research, Vetenskapsrådet