Mannheim University of Applied Sciences, Paul-Wittsack-Str. 10, 68163 Mannheim, Germany.
Math Biosci Eng. 2013 Feb;10(1):151-65. doi: 10.3934/mbe.2013.10.151.
In this work an optimization problem for a leukemia treatment model based on the Gompertzian law of cell growth is considered. The quantities of the leukemic and of the healthy cells at the end of the therapy are chosen as the criterion of the treatment quality. In the case where the number of healthy cells at the end of the therapy is higher than a chosen desired number, an analytical solution of the optimization problem for a wide class of therapy processes is given. If this is not the case, a control strategy called alternative is suggested.
本工作考虑了基于细胞生长的 Gompertz 定律的白血病治疗模型的优化问题。治疗结束时的白血病细胞和健康细胞的数量被选为治疗质量的标准。在治疗结束时健康细胞数量高于所选期望数量的情况下，给出了广泛类治疗过程的优化问题的解析解。如果情况并非如此，则建议采用一种称为替代的控制策略。
