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

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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-\(\alpha \). 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-\(\alpha \) 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.

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Authors and Affiliations

  1. Ariel University, Ariel, Israel

    Svetlana Bunimovich-Mendrazitsky

  2. Holon Institute of Technology, Holon, Israel

    Benzion Shklyar

Authors
  1. Svetlana Bunimovich-Mendrazitsky
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  2. Benzion Shklyar
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Corresponding author

Correspondence to Svetlana Bunimovich-Mendrazitsky.

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Communicated by Alberto d’Onofrio.

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Bunimovich-Mendrazitsky, S., Shklyar, B. Optimization of Combined Leukemia Therapy by Finite-Dimensional Optimal Control Modeling. J Optim Theory Appl 175, 218–235 (2017). https://doi.org/10.1007/s10957-017-1161-9

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  • DOI: https://doi.org/10.1007/s10957-017-1161-9

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