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Bayesian Parameter Identification in Cahn--Hilliard Models for Biological Growth

Bayesian Parameter Identification in Cahn--Hilliard Models for Biological Growth

We consider the inverse problem of parameter estimation in a diffuse interface model for tumor growth. The model consists of a fourth-order Cahn--Hilliard system and contains three phenomenological parameters: the tumor proliferation rate, the nutrient consumption rate, and the chemotactic sensitivity. We study the inverse problem within the Bayesian framework …