3 papers
math.OC2026
Optimal Control Problem with Mixed Control and State Constraints for Cancer Chemotherapy and Treatment Optimization
David Lassounon, Aziz Belmiloudi, Mounir Haddou
The success of chemotherapy depends on the effectiveness of the drug delivery strategy and its ability to destroy cancer cells while minimizing damage to healthy tissues. The main…
q-bio.QM2026
Mathematical Modeling of Cancer-Bacterial Therapy: Analysis and Numerical Simulation via Physics-Informed Neural Networks
Ayoub Farkane, David Lassounon
Bacterial cancer therapy exploits anaerobic bacteria's ability to target hypoxia tumor regions, yet the interactions among tumor growth, bacterial colonization, oxygen levels, immu…
math.NA2022
An optimal control-based numerical method for scalar transmission problems with sign-changing coefficients
Patrick Ciarlet, David Lassounon, Mahran Rihani
In this work, we present a new numerical method for solving the scalar transmission problem with sign-changing coefficients. In electromagnetism, such a transmission problem can oc…