• Treatment of hepatitis C disease using adaptive control model PI
  • bahareh etaati,1,* fereshteh fouladi,2 Hadi Ezatpanahniaki,3
    1. Department of computer Engineering, Amirkabir University of Technology
    2. Department of Chemical Engineering, Amirkabir University of Technology
    3. Department of computer Engineering, Amirkabir University of Technology


  • Introduction: In this study, due to the role of chronic hepatitis C virus infection in public health, a method has been proposed for its comparative control. The dynamic model used in this paper has three variables, healthy cells, infected cells, and viruses, and is known as the base model. The therapeutic effect of the drug is also considered a variable under control. An adaptive PI controller is designed using the base model. In order to evaluate the proposed control method, its performance in the presence of a variety of uncertainties is evaluated. The simulation results show the desired performance of the control method and the viral load reaches the desired level after about 22 days.
  • Methods: 1- Basic model dx1/dt = s – dx1- βx1x3 dx2/dt = βx1x3 – δx2 dx3/dt = (1- ε)px2 – cx3 2- Dynamic models of hepatitis C dx1/dt = s + rtx1 ( 1- x1+x2/ Tmax) – dx1- βx1x3 dx2/dt = βx1x3 – δx2 dx3/dt = (1- ε)px2 – cx3 3- Extended Model dx1/dt = s + rTx1 ( 1- (x1+x2/ Tmax)) – dx1- βx1x3 dx2/dt = βx1x3 + + rTx2 ( 1- (x1+x2/ Tmax)) – δx2 dx3/dt = (1- ε)px2 – cx3 Y= x3 4- PID Adaptive Controller S(t) = ( d/dt + λ )r-1 e(t) upid = ΠT (e) ɵ PI = ʃtt (e2 + Ru2) dt
  • Results: The numerical values presented in the simulation results suggest a successful treatment strategy. From Figures 1 to 4, it is evident that the proposed treatment regimen, based on the baseline model, has been able to bring the viruses to an apparent level of approximately 11 days. Figures 5 to 4 contain the results of the same Rommel controller 2) uncertainty in the model structure.
  • Conclusion: By applying the control inputs obtained in PI in this paper, a closed-circuit control method using the controller of this method increases the concentration of intact cells, and reduces the concentration of unhealthy cells and viruses. The performance of the controller in the presence of uncertainty in the model structure is evaluated and in this case, the control objectives are also met.
  • Keywords: Hepatitis C Viral Patient, Interferon-alpha, Adaptive PI Controller