An inverse problem for the recovery of the vascularization of a tumor

作者：Colin Thierry^*; Iollo Angelo; Lagaert Jean Baptiste; Saut Olivier

来源：Journal of Inverse and Ill-Posed Problems, 2014, 22(6): 759-786.

DOI：10.1515/jip-2013-0009

• Tumor growth
• vascularization
• inverse problem
• proliferative cells

In this paper we present a simplified model of tumor growth and an associated inverse problem. Our model consists in describing the evolution of a population of cancer cells and the density of oxygen. The growth rate depends on the concentration of oxygen. The oxygen distribution is computed by means of a diffusion equation, the source term being localized on the blood vessels. We consider the inverse problem that consists in recovering the position of the blood vessels assuming the distribution of tumor cells. We use an adjoint method. Results relative to idealized clinical cases are discussed.

• 出版日期2014-12