Topic: Inverse problems for reconstructing early-stage dynamics in tumor growth models

Lecturer: Cecilia Cavaterra (Associate Professor, University of Milan, Italy)

Time: May 9, 2025, 10:00 - 11:00, UTC+8

Venue: Room 213, Mathematics and Statistics Building

Biography: Cecilia Cavaterra is currently an Associate Professor at the University of Milan, Italy. She obtained her Ph.D. from the University of Bologna in 1993. Her research focuses on inverse problems for evolution equations, infinite-dimensional dissipative dynamical systems, and diffusion interface models. She has published extensively in renowned international journals, such as SIAM J. Math. Anal., Arch. Ration. Mech. Anal., J. Differential Equations.

Abstract: Considering tumor growth models described by phase-field systems coupled with reaction-diffusion equations, such as those governing nutrients or specific biomarkers, this talk addresses the inverse problem of reconstructing early tumor states using measurements of state variables at the final time. Solving this problem holds significant medical relevance, as it can help identify the initial regions of tumor growth and optimize therapeutic strategies. Theoretical insights into the stability and uniqueness of solutions will be discussed, along with potential applications in clinical diagnostics and treatment planning.

Rewritten by: Li Huihui

Edited by: Li Tiantian

Source: School of Mathematics and Statistics