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• W2950586975 abstract "Acute myeloid leukaemia (AML) is a blood cancer affecting haematopoietic stem cells. AML is routinely treated with chemotherapy, and so it is of great interest to develop optimal chemotherapy treatment strategies. In this work, we incorporate an immune response into a stem cell model of AML, since we find that previous models lacking an immune response are inappropriate for deriving optimal control strategies. Using optimal control theory, we produce continuous controls and bang-bang controls, corresponding to a range of objectives and parameter choices. Through example calculations, we provide a practical approach to applying optimal control using Pontryagin’s Maximum Principle. In particular, we describe and explore factors that have a profound influence on numerical convergence. We find that the convergence behaviour is sensitive to the method of control updating, the nature of the control, and to the relative weighting of terms in the objective function. All codes we use to implement optimal control are made available." @default.
• W2950586975 created "2019-06-27" @default.
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• W2950586975 date "2019-06-01" @default.
• W2950586975 modified "2023-10-17" @default.
• W2950586975 title "Optimal control of acute myeloid leukaemia" @default.
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• W2950586975 doi "https://doi.org/10.1016/j.jtbi.2019.03.006" @default.
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