Optimal control problems for a parabolic system modeling glioma therapy
Optimization and Control
2022-12-05 v1 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.2212.01064,
title = {Optimal control problems for a parabolic system modeling glioma therapy},
author = {Mauro Garavello and Elena Rossi},
journal= {arXiv preprint arXiv:2212.01064},
year = {2022}
}