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A model for interactions between immune cells and HIV considering drug treatments

A model for interactions between immune cells and HIV considering drug treatments
A model for interactions between immune cells and HIV considering drug treatments

In this work, we analyze the capacity of the human body to combat HIV. The model here treated takes into consideration four types of defense of an organism infected by HIV: susceptible defense cells, the infected immune cells, killer T cells, and the HIV-specific killer T cells. This model, therefore, analyzes the interactions between the responses of killer T cells and HIV infections, evidencing how the immune system is attacked and how it defends. An optimal control problem is proposed to derive an optimal sequence of dosages in the standard drug treatment, in such a way as to minimize the side effects.

HIV, Mathematical modelling, Optimal control
2238-3603
282-295
Pastore, Dayse H.
50335f89-5fe1-4f90-9b7d-59647d652942
Thomé, Roberto C.A.
f8f02cd1-1728-4bf1-b04b-88192f8e76d1
Dias, Claudia M.
54153804-0dab-4203-9572-e8cc873d0e19
Arruda, Edilson F.
8eb3bd83-e883-4bf3-bfbc-7887c5daa911
Yang, Hyun M.
1a917026-c90c-4aa7-b103-a48cd00f394f
Pastore, Dayse H.
50335f89-5fe1-4f90-9b7d-59647d652942
Thomé, Roberto C.A.
f8f02cd1-1728-4bf1-b04b-88192f8e76d1
Dias, Claudia M.
54153804-0dab-4203-9572-e8cc873d0e19
Arruda, Edilson F.
8eb3bd83-e883-4bf3-bfbc-7887c5daa911
Yang, Hyun M.
1a917026-c90c-4aa7-b103-a48cd00f394f

Pastore, Dayse H., Thomé, Roberto C.A., Dias, Claudia M., Arruda, Edilson F. and Yang, Hyun M. (2018) A model for interactions between immune cells and HIV considering drug treatments. Computational and Applied Mathematics, 37, 282-295. (doi:10.1007/s40314-017-0528-8).

Record type: Article

Abstract

In this work, we analyze the capacity of the human body to combat HIV. The model here treated takes into consideration four types of defense of an organism infected by HIV: susceptible defense cells, the infected immune cells, killer T cells, and the HIV-specific killer T cells. This model, therefore, analyzes the interactions between the responses of killer T cells and HIV infections, evidencing how the immune system is attacked and how it defends. An optimal control problem is proposed to derive an optimal sequence of dosages in the standard drug treatment, in such a way as to minimize the side effects.

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More information

Accepted/In Press date: 19 October 2017
e-pub ahead of print date: 1 November 2017
Published date: 1 December 2018
Keywords: HIV, Mathematical modelling, Optimal control

Identifiers

Local EPrints ID: 447592
URI: http://eprints.soton.ac.uk/id/eprint/447592
ISSN: 2238-3603
PURE UUID: fbadaefb-e01a-42f4-8617-3a853f28af01
ORCID for Edilson F. Arruda: ORCID iD orcid.org/0000-0002-9835-352X

Catalogue record

Date deposited: 16 Mar 2021 17:45
Last modified: 09 Jan 2022 04:11

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Contributors

Author: Dayse H. Pastore
Author: Roberto C.A. Thomé
Author: Claudia M. Dias
Author: Hyun M. Yang

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