Some inverse problems raised from a mathematical model of ductal carcinoma in situ

The growth of avascular tumors has been studied by many authors. In this paper we study a special kind of cancer, ductal carcinoma in situ (DCIS) in order to investigate possible procedures to connect free boundary model of DCIS with clinical data. This paper is to present some results of our research on mathematical modeling, analysis, and numerical simulations of ductal carcinoma in situ. In particular, we formulate a number of inverse problems for the well-posed free boundary valued problem related to clinical diagnose of cancer.