Work

Optimal control problems for a parabolic system inspired by a cancer therapy

Year: 2024

Type: article

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.

Source: Zeitschrift für Analysis und ihre Anwendungen

DOI: 10.4171/zaa/1775

Authors: Mauro Garavello, Elena Rossi

Institutions: University of Milano-Bicocca, University of Modena and Reggio Emilia

Language: English

Topic: Mathematical Biology Tumor Growth

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: diamond

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission