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Optimization of Combined Leukemia Therapy by Finite-Dimensional Optimal Control Modeling

Author

Listed:
  • Svetlana Bunimovich-Mendrazitsky

    (Ariel University)

  • Benzion Shklyar

    (Holon Institute of Technology)

Abstract

Imatinib is a highly effective treatment for chronic myeloid leukemia, a common type of leukemia. Treatment efficacy of imatinib has been further improved by combination therapy with exogenic cytokine interferon- $$\alpha $$ α . However, the prolonged administration of drug and immunotherapy exacts a significant cost to the patient’s quality of life, due to the treatments side effects. We present a mathematical model for the scheduling of combined treatment with imatinib and interferon- $$\alpha $$ α by finite-dimensional optimal control problems. The explicit formulas for the optimal controls minimizing the integral quality criterion are obtained, and the corresponding leukemia treatment process is then described by numerical simulation. The attained optimization of treatment holds clinical potential for improving patient’s quality of life, as well as overall prognosis.

Suggested Citation

  • Svetlana Bunimovich-Mendrazitsky & Benzion Shklyar, 2017. "Optimization of Combined Leukemia Therapy by Finite-Dimensional Optimal Control Modeling," Journal of Optimization Theory and Applications, Springer, vol. 175(1), pages 218-235, October.
    • Handle: RePEc:spr:joptap:v:175:y:2017:i:1:d:10.1007_s10957-017-1161-9
    DOI: 10.1007/s10957-017-1161-9
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    References listed on IDEAS

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    1. L. Berezansky & S. Bunimovich-Mendrazitsky & B. Shklyar, 2015. "Stability and Controllability Issues in Mathematical Modeling of the Intensive Treatment of Leukemia," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 326-341, October.
    2. Rădulescu, I.R. & Cândea, D. & Halanay, A., 2016. "Optimal control analysis of a leukemia model under imatinib treatment," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 121(C), pages 1-11.
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    Cited by:

    1. Pan, Sonjoy & Raha, Soumyendu & Chakrabarty, Siddhartha P., 2020. "A quantitative study on the role of TKI combined with Wnt/β-catenin signaling and IFN-α in the treatment of CML through deterministic and stochastic approaches," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).

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