On an optimal control problem describing lactate production inhibition

被引：7

作者：

Alsayed, Hawraa ^{[1
,2
]}

Fakih, Hussein ^{[2
,3
]}

Miranville, Alain ^{[1
,4
]}

Wehbe, Ali ^{[2
]}

机构：

[1] Univ Poitiers, Lab Math & Applicat, Futuroscope, Chasseneuil Du, France

[2] Lebanese Univ, Khawarizmi Lab Math & Applicat, Beirut, Mont Liban, Lebanon

[3] Lebanese Int Univ, Dept Math & Phys, West Bekaa, Lebanon

[4] Xiamen Univ, Sch Math Sci, Fujian Prov Key Lab Math Modeling & High Performa, Xiamen, Fujian, Peoples R China

来源：

APPLICABLE ANALYSIS | 2023年 / 102卷 / 06期

关键词：

Altered metabolism; glioma treatment; lactate dehydrogenase; first-order necessary optimality conditions; DEHYDROGENASE;

D O I：

10.1080/00036811.2021.1999418

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Altered metabolism, characterized by high concentration levels of lactate enzyme, contributes to tumor development, malignancy, and metastasis and introduces metabolic liabilities that can be employed in cancer treatment. Here, this paper aims to reach a desired lactate concentration, under the action of an optimal treatment dose, represented by a control, at an optimal treatment time. We consider an objective functional to be minimized associated with a system modeling lactate dynamics in the presence of control. We show the existence of a minimizer of this functional, and we derive a first-order necessary optimality condition.

引用

页码：1711 / 1731

页数：21

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