BANG-BANG OPTIMAL CONTROLS FOR A MATHEMATICAL MODEL OF CHEMO- AND IMMUNOTHERAPY IN CANCER

被引：4
作者：
Ledzewicz, Urszula [1 ,2 ]
Maurer, Helmut [3 ]
Schattler, Heinz [4 ]
机构：
[1] Lodz Univ Technol, Inst Math, PL-90924 Lodz, Poland
[2] Southern Illinois Univ Edwardsville, Dept Math & Stat, Edwardsville, IL 62026 USA
[3] Westfalische Wilhelms Univ Munster, Dept Appl Math, D-48149 Munster, Germany
[4] Washington Univ, Dept Elect & Syst Engn, St Louis, MO 63130 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 03期
关键词：
Optimal control; bang-bang solutions; medical applications; chemotherapy; immunotherapy; CHEMOTHERAPY; RADIATION; IMMUNITY; TUMORS;
D O I：
10.3934/dcdsb.2023141
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
. A nonlinear mathematical model which includes synergistic effects of chemo- and immunotherapy is analyzed (both analytically and numerically) as an optimal control problem with free terminal time for the problem of scheduling combination therapies. Side effects of the drugs are measured indirectly by including the total doses of the respective drugs with weights as penalty terms in the objective. The formulation allows us to judge the amounts of the agents required to achieve tumor eradication as well as the time it will take to do so. For various weights for the penalty terms, extremal controlled trajectories are computed numerically and their local optimality is verified with second-order conditions for optimality.
引用
收藏
页码：1481 / 1500
页数：20
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