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DOI: 10.23952/cot.2024.33
Received July 8, 2023; Accepted December 12, 2023; Published online May 21, 2024
Abstract. The paper presents a mathematical model for the therapy of malignant myeloid leukemia cells. The first two equations of the model describe the changes in the number of healthy and cancer cells as a result of interaction with a drug that slows down their growth. The dynamics of the receipt of this drug is described by a separate equation. Conditions for a stable limit cycle of cancerous and healthy cells have been found in the form of feedback therapy strategy.
How to Cite this Article:
A. Bratus, A. Popov, D. Yurchenko, On feedback control by Hopf bifurcation in mathematical model of leukemia therapy, Commun. Optim. Theory 2024 (2024) 33.