细胞毒性药物对肿瘤生长的Allen-Cahn模型最优控制

Discrete & Continuous Dynamical Systems - S Pub Date : 2022-01-01 DOI:10.3934/dcdss.2022003

Hawraa Alsayed, Hussein Fakih, A. Miranville, A. Wehbe

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引用次数: 3

摘要

本文的目的是研究肿瘤生长模型的最优控制问题。状态系统耦合了Allen-Cahn方程和反应扩散方程，模拟了肿瘤在营养供应下的进化。考虑通过细胞毒性药物消除癌细胞，并将细胞毒性药物的浓度表示为控制变量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Optimal control of an Allen-Cahn model for tumor growth through supply of cytotoxic drugs

Our aim in this paper is to study an optimal control problem for a tumor growth model. The state system couples an Allen-Cahn equation and a reaction diffusion equation that models the evolution of tumor in the presence of nutrient supply. Elimination of cancer cells via cytotoxic drug is considered and the concentration of the cytotoxic drug is represented as a control variable.

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Discrete & Continuous Dynamical Systems - S

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