Maroński Ryszard
Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics, ul. Nowowiejska 24,00-665 Warsaw, Poland.
Acta Bioeng Biomech. 2008;10(2):81-4.
The problem of optimal cancer chemotherapy is reconsidered. For the assumed result of the therapy the cumulative negative toxic effect of the drug is minimized. The unknown function to be optimized is the time-dependent dose of the drug. The Gompertzian model of cell population growth is employed. The formulated problem of the calculus of variations is solved using the method of Miele (the method of extremization of linear integrals via Green's theorem). The optimal solution is unique and of "bang-bang" type with one switching point.
重新考虑了癌症最佳化疗问题。对于假定的治疗结果，药物的累积负面毒性作用被最小化。待优化的未知函数是药物随时间变化的剂量。采用了细胞群体生长的冈珀茨模型。使用米耶勒方法（通过格林定理对线性积分进行极值化的方法）解决了变分法中提出的问题。最优解是唯一的，且具有一个切换点的“砰砰”型。
