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An Evaluation of Propagation of the HIV-Infected Cells via Optimization Problem

Author

Listed:
  • Donatella Granata

    (Istituto per le Applicazioni del Calcolo “Mauro Picone”, National Research Council, Via dei Taurini 19, 00185 Rome, Italy
    Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Plesso di Matematica, Università degli Studi di Parma, Parco Area delle Scienze 53/A, 43124 Parma, Italy)

  • Luca Lorenzi

    (Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Plesso di Matematica, Università degli Studi di Parma, Parco Area delle Scienze 53/A, 43124 Parma, Italy)

Abstract

Mathematical models have the potential to contribute to design and evaluate the infectivity spreading and growth of human immunodeficiency virus (HIV). Providing a better understanding of the dynamics of HIV infection in vivo and the immune system interactions with the virus can improve the classification of the infected cells and drive to an early diagnosis of the disease and drug evaluations. We analyze a two-dimensional environment HIV model from a new perspective, in terms of a multi-objective optimization problem, by introducing a linear modeling approach and providing numerical evidence for its suitability by introducing a general Instantaneous Control Algorithm.

Suggested Citation

  • Donatella Granata & Luca Lorenzi, 2022. "An Evaluation of Propagation of the HIV-Infected Cells via Optimization Problem," Mathematics, MDPI, vol. 10(12), pages 1-15, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2021-:d:836564
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