2 papers
math.OC2025
Universal differential equations for optimal control problems and its application on cancer therapy
Wenjing Zhang, Wandi Ding, Huaiping Zhu
This paper highlights a parallel between the forward backward sweeping method for optimal control and deep learning training procedures. We reformulate a classical optimal control…
math.AP2024
Optimal control of treatment in a free boundary problem modeling multilayered tumor growth
Xinyue Evelyn Zhao, Yixiang Wu, Rachel Leander +2
We study the optimal control problem of a free boundary PDE model describing the growth of multilayered tumor tissue in vitro. We seek the optimal amount of tumor growth inhibitor…