论文标题

抛物线系统建模神经胶质瘤治疗的最佳控制问题

Optimal control problems for a parabolic system modeling glioma therapy

论文作者

Garavello, Mauro, Rossi, Elena

论文摘要

在本文中,我们考虑了基于溶瘤病毒的抛物线疗法对胶质瘤脑癌建模疗法的最佳控制问题。使用典型的功能分析技术,我们证明了对控制模型的全局时间良好姿势,对于特定目标功能的最佳控制,这是对癌症疗法是自然的,并且我们得出了必要的最佳条件。

In this paper we consider optimal control problems for a parabolic system modeling a therapy, based on oncolytic viruses, for the glioma brain cancer. Using several techniques typical of functional analysis, we prove the global in time well posedness of the control model, the existence of optimal controls for specific objective functionals, which are natural for cancer therapies, and we derive necessary conditions for optimality.

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