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- W1986067026 abstract "In this work we introduce a multi-objective optimization problem using the example of a leukemia treatment model. We believe that treatment affects not only leukemia cells, but also the healthy cells. The treatment effect is modelled as a therapy function. The optimization problem con- sists of two objective functions that are in conflict: on the o ne hand, minimizing the leukemia cells and on the other hand, maximizing the number of healthy cells. We reduce this multi-objective prob- lem by using the e-constraint method. With the aid of Pontryagin's Maximum Pr inciple we give an analytical solution to this reduced problem. In order to sol ve the problem using the epsilon-constraint- method, the restriction of a threshold value for the number of healthy cells is separately considered as an optimization problem with a new extended objective function. For the most relevant parameters the maximum dose of chemotherapeutics should be administered as long as the predetermined restrictions are not violated. Furthermore, the case in which singular control may occur during the therapy process is analysed. In this case, the optimal control is also determ ined." @default.
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- W1986067026 date "2012-01-01" @default.
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- W1986067026 title "An optimal strategy for leukemia therapy: a multi-objective approach" @default.
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- W1986067026 doi "https://doi.org/10.1515/rjnamm.2011.035" @default.
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