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Nonlinear Control Designs And Their Application To Cancer Differentiation Therapy
  • Yen-Che Hsiao ,
  • Abhishek Dutta
Yen-Che Hsiao
University of Connecticut

Corresponding Author:[email protected]

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Abhishek Dutta
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Abstract

This work has been submitted to the IEEE for possible publication. Copyright may be transferred without notice, after which this version may no longer be accessible.
Objective: We designed three new controllers: a sigmoid-based controller, a polynomial dynamic inversion-based controller, and a proportional-integral-derivative (PID) impulsive controller for cancer differentiation therapy. We compared these three controllers to existing control strategies to show the improvement in performance and compare their robustness.
Methods: The sigmoid-based controller adds a sigmoid term associated with the error of the controlled state and a selected observed state. The sigmoid term is multiplied by a control gain, thereby decreasing the control effort for state transition can decrease. The polynomial dynamic inversion-based controller adds a cubic error term in the error dynamic to achieve a shorter convergence time to the desired value of the controlled state. The PID impulsive controller considers the accumulated controlled state error and the rate of change of the controlled state error, thereby forcing the controlled state to converge to the desired value and alleviating the damping effect in the steady state.
Results: For the considered cancer network, the sigmoid-based controller can reduce the amount of drug dosage to complete state transition compared to existing domain control. The polynomial dynamic inversion-based controller uses less time for differentiation therapy compared to the domain controller. The PID impulsive controller can increase the time interval between each drug dosage and show better robustness compared to vanilla impulsive control.
Conclusion: The 3 new cancer control strategies exhibit superior and robust performance.
Significance: The PID impulsive controller has a significant improvement in robustness compared to the impulsive controller and has greater potential for cancer differentiation therapy.