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-  2019 

The effects of time valuation in cancer optimal therapies: a study of chronic myeloid leukemia

DOI: 10.1186/s12976-019-0106-4

Keywords: Optimal control problem, Time valuation factor, System of difference equations, Chronic myeloid leukemia, Hematopoiesis, Imatinib therapy

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Abstract:

The mathematical design of optimal therapies to fight cancer is an important research field in today’s Biomathematics and Biomedicine given its relevance to formulate patient-specific treatments. Until now, however, cancer optimal therapies have considered that malignancy exclusively depends on the drug concentration and the number of cancer cells, ignoring that the faster the cancer grows the worse the cancer is, and that early drug doses are more prejudicial. Here, we analyze how optimal therapies are affected when the time evolution of treated cancer is envisaged as an additional element determining malignancy, analyzing in detail the implications for imatinib-treated Chronic Myeloid Leukemia

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