Viability theory
Optimal control applied to cell-cycle-specific cancer chemotherapy
SIAM Journal on Applied Mathematics
Feedback Spreading Control under Speed Constraints
SIAM Journal on Control and Optimization
| Hi-index | 0.98 |
In this paper, we use viability theory and set-valued analysis to investigate destroying cancer cells from a tissue that is treated by immunotherapy. The problem is set as a target control problem under state-control constraints, the mathematical model being a control system of three nonlinear ODEs. The goal of the therapy is to get a decreasing tumor cell density that attains zero at terminal time. We derive a family of continuous protocol laws and prove that the minimal selection of the feedback map, though it is discontinuous, stands for the best protocol law that involves minimum doses to clear tumor cells.