Complas 2025

COMPLAS 2025

Inverse problems for phase-field models with applications to personalized medicine

Agosti, Abramo (University of Pavia)
Beretta, Elena (New York University Abu Dhabi)
Cavaterra, Cecilia (University of Milan)
Fornoni, Matteo (University of Pavia)
Luzzi, Sabino (University of Sassari)
Rocca, Elisabetta (University of Pavia)

In session: 1601 - Phase-field Modeling and Engineering Applications in Solid Mechanics I

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In this talk I will present different types of inverse and PDE-constrained optimization problems for phase-field tumour growth models which are of some interest for clinical applications. In particular, I will present the inverse identification problem of the initial condition from a single-point measurement at a final time for a Cahn-Hilliard type model describing tumour evolution in the a-vascular stage, and the parameters optimization problem for a multiphase model describing tumour growth in the vascular stage. I will show both analytical and numerical results, and present patient-specific test cases where the optimization problem is based on longitudinal neuroimaging data.