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Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities

Author

Listed:
  • Rodrigues, Diego S.
  • Mancera, Paulo F.A.
  • Carvalho, Tiago
  • Gonçalves, Luiz Fernando

Abstract

The application of sliding mode control and piecewise smooth vector fields in cancer is an incipient research area. Here we propose a piecewise dynamics to explore chemoimmunotherapeutic strategies. We investigate the dynamic behavior of the discontinuous mathematical model and we observe the occurrence of typical singularities. The on-off treatment strategies are defined in terms of a time-dependent variable such as the number of cancer or immune cells.

Suggested Citation

  • Rodrigues, Diego S. & Mancera, Paulo F.A. & Carvalho, Tiago & Gonçalves, Luiz Fernando, 2020. "Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities," Applied Mathematics and Computation, Elsevier, vol. 387(C).
    • Handle: RePEc:eee:apmaco:v:387:y:2020:i:c:s009630031930774x
    DOI: 10.1016/j.amc.2019.124782
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    References listed on IDEAS

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    1. Rodrigues, D.S. & Mancera, P.F.A. & Carvalho, T. & Gonçalves, L.F., 2019. "A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 118-133.
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