Dynamical inverse problems in glucose metabolism of cancer

Glucose metabolism in cancer can be mapped by using positron emission tomography (PET). however, PET data interpration requires the use of regularization techniques for both reconstructing functional images of tissue proliferation and detemining the kinetic parameters that explain the effectivenes of information flow between functional compartments. this talk will illustrate a mathematical model for glucose physiology in healthy and cancerous tissues and how such model can be numerically reduced in order to provide quantitative information on glucose pato-physiology.

Michele Piana Università di Genova, Dipartimento di Matematica