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Multi-Drug Scheduling for Chemotherapy Using Fractional Order Internal Model Controller

Author

Listed:
  • Nikhil Pachauri

    (Department of Mechatronics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, India)

  • Velamuri Suresh

    (Symbiosis Institute of Technology, Symbiosis International University (Deemed University), Pune 412115, India)

  • MVV Prasad Kantipudi

    (Symbiosis Institute of Technology, Symbiosis International University (Deemed University), Pune 412115, India)

  • Reem Alkanhel

    (Department of Information Technology, College of Computer and Information Sciences, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

  • Hanaa A. Abdallah

    (Department of Information Technology, College of Computer and Information Sciences, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

Abstract

Chemotherapy is a widely used cancer treatment method globally. However, cancer cells can develop resistance towards single-drug-based chemotherapy if it is infused for extended periods, resulting in treatment failure in many cases. To address this issue, oncologists have progressed towards using multi-drug chemotherapy (MDC). This method considers different drug concentrations for cancer treatment, but choosing incorrect drug concentrations can adversely affect the patient’s body. Therefore, it is crucial to recognize the trade-off between drug concentrations and their adverse effects. To address this issue, a closed-loop multi-drug scheduling based on Fractional Order Internal-Model-Control Proportional Integral (IMC-FOPI) Control is proposed. The proposed scheme combines the benefits of fractional PI and internal model controllers. Additionally, the parameters of IMC-FOPI are optimally tuned using a random walk-based Moth-flame optimization. The performance of the proposed controller is compared with PI and Two degrees of freedom PI (2PI) controllers for drug concentration control at the tumor site. The results reveal that the proposed control scheme improves the settling time by 43% and 21% for V X , 54% and 48 % for V Y , and 48% and 40% for V Z , respectively, compared to PI and 2PI. Therefore, it can be concluded that the proposed control scheme is more efficient in scheduling multi-drug than conventional controllers.

Suggested Citation

  • Nikhil Pachauri & Velamuri Suresh & MVV Prasad Kantipudi & Reem Alkanhel & Hanaa A. Abdallah, 2023. "Multi-Drug Scheduling for Chemotherapy Using Fractional Order Internal Model Controller," Mathematics, MDPI, vol. 11(8), pages 1-19, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1779-:d:1118766
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    References listed on IDEAS

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    1. Iskakova, Kulpash & Alam, Mohammad Mahtab & Ahmad, Shabir & Saifullah, Sayed & Akgül, Ali & Yılmaz, Gülnur, 2023. "Dynamical study of a novel 4D hyperchaotic system: An integer and fractional order analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 219-245.
    2. Baleanu, Dumitru & Jajarmi, Amin & Mohammadi, Hakimeh & Rezapour, Shahram, 2020. "A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
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