I am a temporary Teaching and Research Associate (ATER) at INSA Rennes.
I am pursuing a Ph.D. at INSA Rennes, within the Institut de Recherche Mathématique de Rennes (IRMAR), supervised by Aziz Belmiloudi and Mounir Haddou. 

My Ph.D thesis aims to develop models of tumor invasion under treatment, optimize anticancer therapies, and study optimal cancer eradication strategies by minimizing drug-induced damage to healthy tissue. We propose deterministic and deterministic-stochastic tumor invasion models under chemotherapy and formulate an optimal control problem with mixed control and state constraints, aiming to minimize malignant tumor density.
Control models the concentration of chemotherapeutic agents, while state models tumor density. The control constraint aims to limit drug accumulation in healthy tissue, while the state constraint aims to reduce the progression of tumor resistance at each treatment time. We perform several numerical simulations of optimal solutions for eradicating breast and lung cancer in realistic geometries and with realistic and random data.

I am also interested in the problem of electromagnetic field propagation at the interface between classical media on the one hand and metals or meta-materials on the other. In physics, these models allow the generation and propagation of surface plasmons to be considered. The construction of well-posed models numerically and even mathematically in specific geometries is still open. A reformulation of the problem into an optimal control problem allowed us to construct a new numerical method to solve the problem without restrictive conditions at the interface and additional a priori regularity of the solution, but with many other challenges that require further investigation.

 Interests: PDEs, Mathematical biology, Optimal control theory, State constraints, SPDEs, Numerical analysis, and Numerical simulations.