Optimal Control of Treatment in a Free Boundary Problem Modeling Multilayered Tumor Growth
Abstract
Abstract. We study the optimal control problem of a free boundary PDE model describing the growth of a multilayered tumor tissue in vitro. We seek the optimal amount of tumor growth inhibitor that simultaneously minimizes the thickness of the tumor tissue and mitigates side effects. The existence of an optimal control is established, and the uniqueness and characterization of the optimal control are investigated. Numerical simulations are presented for some scenarios, including the steady-state and parabolic cases.
Fields of Study & Subjects
Mathematical Biology Tumor Growth
Advanced Mathematical Modeling in Engineering
Stability and Controllability of Differential Equations
Publication details
- Journal / source
- SIAM Journal on Control and Optimization
- Publisher
- Society for Industrial & Applied Mathematics (SIAM)
- Volume
- 64
- Issue
- 3
- Pages
- 1068–1098
- Publication date
- 7 May 2026
- Language
- EN