Role of the Immune System in AIDS-defining Malignancies

Date

2022-01-01

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Coadvisor

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Springer
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English

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Abstract

The Center for Disease Control and Prevention considers AIDS-defining illnesses Kaposi’s sarcoma, non-Hodgkin’s lymphoma and cervical cancer. These cancers have higher incidence in HIV-infected individuals than in the general population. Additionally, cancers’ clinical courses in HIV-positive individuals are increasingly aggressive when compared to those in HIV-negative patients. It is thus compelling to further understand the dynamics of AIDS-related cancer growth. We propose a non-integer order model to describe the role of the immune system in cancer cells’ growth in a HIV-infected individual. The model incorporates anti-retroviral therapy and chemotherapy. We simulate the model for different proliferation functions of the cytotoxic T lymphocytes (CTLs), and other parameters, namely the HIV-infection rate, the elimination rate of infected T cells by CTLs, and the elimination rate of cancer cells by the immune system and discuss the results from a physiological perspective. The order of the fractional derivative completes the discussion of the results.

Keywords

Immune System, AIDS

Document Type

Conference paper

Citation

Carvalho, J. M, & Pinto, C. M. A. (2022). Role of the Immune System in AIDS-defining Malignancies. In J. Awrejcewicz (Ed.), Perspectives in Dynamical Systems I: Mechatronics and Life Sciences. DSTA 2019. Springer Proceedings in Mathematics & Statistics, Łódź, Poland 2-5 December 2019, (vol. 362, pp. 95-105). Springer. https://doi.org/10.1007/978-3-030-77306-9_9. Repositório Institucional UPT. https://hdl.handle.net/11328/6445

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978-3-030-77305-2
978-3-030-77306-9

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