3 papers · 1 filter
Direct and indirect operator learning strategies for parametric optimal control problems
Juan J. Forero-Hernández, Francisco Guillén-González, Élder J. Villamizar-Roa
This paper focuses on the use of learning nonlinear operators via Deep Operator Networks (DeepONets) for approximating the solutions of optimal control problems. We study two opera…
Modeling of an ODE-constrained optimization problem describing tumor dynamics, and numerical approximation via sequential physics-informed neural networks
Juan J. Forero-Hernández, Élder J. Villamizar-Roa
In this paper, we study an optimal control problem related to an ODE model of glioblastoma growth influenced by the oxygen. The model considers a couple of controls describing the…
Optimal control of therapies related to an oxytaxis glioblastoma model
Juan J. Forero-Hernańdez, Francisco Guillén-González, Élder J. Villamizar-Roa
We propose and analyze an optimal control problem associated with a Keller-Segel type parabolic system with chemoattraction, modeling the glioblastoma growth in a bi-dimensional bo…