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Backstepping and Synergetic Controllers for the Chemotherapy of Brain Tumor

  • Control Theory and Applications
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Abstract

The treatment of brain tumors by chemotherapy through the controlled rate of drug has been a challenging task since long. Two nonlinear control algorithms: 1) synergetic 2) backstepping based controllers have been designed for the therapeutic agent in an updated mathematical model of brain tumor to reduce the tumor cells, to maintain a safe amount of healthy cells, to keep the immune cells above a certain value and ensure a suitable amount of drug during the therapy. Lyapunov stability theory has been used to analyze the system’s asymptotic stability and convergence of the tumor cells to their desired reference. Simulations have been performed in ODE45-Solver of Matlab/Simulink which show that chemotherapy using proposed controllers is effective enough to get the desired objectives.

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Authors and Affiliations

  1. School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST), Islamabad, Pakistan

    Muhammad Zubair, Iftikhar Ahmad & Yasir Islam

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  1. Muhammad Zubair
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  2. Iftikhar Ahmad
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  3. Yasir Islam
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Correspondence to Iftikhar Ahmad.

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Muhammad Zubair received his M.S. degree in electrical engineering from the School of Electrical Engineering and Computer Science (SEECS), National university of Science and Technology (NUST), Islamabad, Pakistan. His current research interests include nonlinear control applications, power converters, nonlinear control of biomedical systems, and hybrid electric vehicles.

Iftikhar Ahmad Rana is serving as an Assistant Professor at the Department of Electrical Engineering, School of Electrical Engineering, and Computer Science, National University of Sciences and Technology (NUST), Islamabad, Pakistan. Earlier, he received an M.S. degree in fluid mechanical engineering from University Paris VI (University Pierre Marie Curie, Paris) and his Ph.D. in robotics, control and automation, from the Universite de Versailles France.

Yasir Islam received his B.S. and M.S. degrees in electrical engineering with specialization in power and control systems from School of Electrical Engineering and Computer Science, National University of Sciences and Technology (NUST), Islamabad, Pakistan.

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Zubair, M., Ahmad, I. & Islam, Y. Backstepping and Synergetic Controllers for the Chemotherapy of Brain Tumor. Int. J. Control Autom. Syst. 19, 2544–2556 (2021). https://doi.org/10.1007/s12555-020-0426-5

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  • DOI: https://doi.org/10.1007/s12555-020-0426-5

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