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Robust control strategy for HBV treatment: Considering parametric and nonparametric uncertainties

Aghajanzadeh, O ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1016/B978-0-12-817461-6.00005-6
  3. Publisher: Elsevier Inc , 2020
  4. Abstract:
  5. Hepatitis is one of the most perilous viral infectious diseases and many people suffer from it all around the world. In particular, hepatitis B is a terribly dangerous disease which may cause severe liver damage or cancer if it is not treated. Recently, several dynamic models have been developed from experimental studies for describing such diseases mathematically. The certainty of these dynamics models is questionable in realistic treatment processes. Thus, the modeling uncertainties should be considered in the dynamics, which necessitates employing robust control strategies capable to overcome these uncertainties. Accordingly, in this research, a control strategy is developed in order to prescribe an appropriate time schedule for drug therapy of the uncertain hepatitis B virus (HBV) infection. By employing the HBV nonlinear dynamic model, a robust control strategy is designed and the stability of the system is proved to employ the Lyapunov theorem. The objective of the proposed controller is restraining the HBV disease development, which is accomplished based on the represented results. The number of infected cells and virions track their desired values in a reasonable fashion while the number of healthy cells persistently grows. Diverse range of uncertainties is considered for the HBV dynamic model and robustness of the controller regarding different types of uncertainty is verified. It is notable that the control strategy successfully prescribed appropriate dose of the drug so as to reduce virions and infected cells numbers to 20. % and 10. % of their initial values, respectively, during 80-day treatment period in the presence of wide range of parametric and nonparametric uncertainties. © 2020 Elsevier Inc. All rights reserved
  6. Keywords:
  7. Antiviral drug usage ; Hepatitis B ; Lyapunov stability ; Mathematical models ; Modeling uncertainty and disturbance ; Nonlinear robust control
  8. Source: Control Applications for Biomedical Engineering Systems ; 2020 , Pages 127-147
  9. URL: https://www.sciencedirect.com/science/article/pii/B9780128174616000056