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

Diego S. Rodrigues, Paulo F.A. Mancera, Tiago Carvalho and Luiz Fernando Gonçalves

Applied Mathematics and Computation, 2020, vol. 387, issue C

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.

Keywords: Cancer; Chemoimmunotherapy; Piecewise smooth vector fields; Typical singularities (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:387:y:2020:i:c:s009630031930774x

DOI: 10.1016/j.amc.2019.124782

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