ON THE ROLE OF TUMOR HETEROGENEITY FOR OPTIMAL CANCER CHEMOTHERAPY

被引:5
作者
Ledzewicz, Urszula [1 ,2 ]
Schattler, Heinz [3 ]
Wang, Shuo [4 ]
机构
[1] Lodz Univ Technol, PL-90924 Lodz, Poland
[2] Southern Illinois Univ Edwardsville, Dept Math & Stat, Edwardsville, IL 62026 USA
[3] Washington Univ, Dept Elect & Syst Engn, St Louis, MO 63130 USA
[4] Univ Texas Arlington, Dept Mech & Aerosp Engn, Arlington, TX 76010 USA
关键词
Optimal control; drug resistance; cancer chemotherapy; adaptive therapy; DRUG-RESISTANCE; MATHEMATICAL-MODEL; ANTICANCER TREATMENT; THERAPY; DENSITY;
D O I
10.3934/nhm.2019007
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We review results about the influence tumor heterogeneity has on optimal chemotherapy protocols (relative to timing, dosing and sequencing of the agents) that can be inferred from mathematical models. If a tumor consists of a homogeneous population of chemotherapeutically sensitive cells, then optimal protocols consist of upfront dosing of cytotoxic agents at maximum tolerated doses (MTD) followed by rest periods. This structure agrees with the MTD paradigm in medical practice where drug holidays limit the overall toxicity. As tumor heterogeneity becomes prevalent and sub-populations with resistant traits emerge, this structure no longer needs to be optimal. Depending on conditions relating to the growth rates of the sub-populations and whether drug resistance is intrinsic or acquired, various mathematical models point to administrations at lower than maximum dose rates as being superior. Such results are mirrored in the medical literature in the emergence of adaptive chemotherapy strategies. If conditions are unfavorable, however, it becomes difficult, if not impossible, to limit a resistant population from eventually becoming dominant. On the other hand, increased heterogeneity of tumor cell populations increases a tumor's immunogenicity and immunotherapies may provide a viable and novel alternative for such cases.
引用
收藏
页码:131 / 147
页数:17
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