Artikel

Optimal CAR T-cell immunotherapy strategies for a leukemia treatment model

CAR T-cell immunotherapy is a new development in the treatment of leukemia, promising a new era in oncology. Although so far, this procedure only helps 50-90% of patients and, like other cancer treatments, has serious side effects. In this work, we have proposed a controlled model for leukemia treatment to explore possible ways to improve immunotherapy methodology. Our model is described by four nonlinear differential equations with two bounded controls, which are responsible for the rate of injection of chimeric cells, as well as for the dosage of the drug that suppresses the so-called "cytokine storm". The optimal control problem of minimizing the cancer cells and the activity of the cytokine is stated and solved using the Pontryagin maximum principle. The five possible optimal control scenarios are predicted analytically using investigation of the behavior of the switching functions. The optimal solutions, obtained numerically using BOCOP-2.2.0, confirmed our analytical findings. Interesting results, explaining, why therapies with rest intervals (for example, stopping injections in the middle of the treatment interval) are more effective (within the model), rather than with continuous injections, are presented. Possible improvements to the mathematical model and method of immunotherapy are discussed.

Language
Englisch

Bibliographic citation
Journal: Games ; ISSN: 2073-4336 ; Volume: 11 ; Year: 2020 ; Issue: 4 ; Pages: 1-26 ; Basel: MDPI

Classification
Wirtschaft
Subject
Generalized Rolle's Theorem
leukemia
nonlinear control system
optimal control
Pontryagin maximum principle
switching function

Event
Geistige Schöpfung
(who)
Khailov, Evgenii
Grigorieva, Ellina
Klimenkova, Anna
Event
Veröffentlichung
(who)
MDPI
(where)
Basel
(when)
2020

DOI
doi:10.3390/g11040053
Handle
Last update
10.03.2025, 11:41 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Khailov, Evgenii
  • Grigorieva, Ellina
  • Klimenkova, Anna
  • MDPI

Time of origin

  • 2020

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