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Control analysis of virotherapy chaotic system.

Javaria Iqbal1, Salman Ahmad1, Muhammad Marwan2

  • 1Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabd, Pakistan.

Journal of Biological Dynamics
|July 27, 2022
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Summary

This study introduces adaptive and passive control techniques for cancer virotherapy, enhancing treatment stability. Simulations show adaptive control offers superior performance in managing this complex disease.

Keywords:
Lyapunov functionSectionsadaptive controlchaospassive controlstabilitytumor cells

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Area of Science:

  • Biomedical Engineering
  • Control Theory
  • Mathematical Oncology

Background:

  • Cancer treatment, particularly virotherapy, involves complex dynamics and inherent risks.
  • External viral injection for cancer treatment requires precise control due to disease sensitivity.

Purpose of the Study:

  • To design and implement adaptive and passive control strategies for a chaotic cancer virotherapy system.
  • To ensure global stability of the cancer system during viral treatment.
  • To compare the efficacy of adaptive versus passive control techniques.

Main Methods:

  • Development of control inputs using adaptive and passive control techniques.
  • Application of a quadratic Lyapunov function to guarantee system stability.
  • Verification of controller performance through numerical simulations.

Main Results:

  • Both adaptive and passive controllers successfully achieve global stability for the cancer system.
  • Simulations demonstrate the effectiveness of the designed control strategies.
  • The adaptive control technique exhibited superior performance compared to the passive control method.

Conclusions:

  • Adaptive and passive control are viable strategies for stabilizing cancer virotherapy systems.
  • Adaptive control presents a more effective approach for managing cancer treatment dynamics.
  • This research contributes to safer and more effective cancer treatment methodologies.