# American Institute of Mathematical Sciences

February  2004, 4(1): 337-348. doi: 10.3934/dcdsb.2004.4.337

## A free boundary problem model of ductal carcinoma in situ

 1 Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, United States

Received  November 2002 Revised  June 2003 Published  November 2003

Ductal carcinoma in situ (DCIS) refers to a specific diagnosis of cancer that is isolated within the breast duct, and has not spread to other parts of the breast. We modify a model proposed by Byrne and Chaplain for the growth of a tumour consisting of live cells (nonnecrotic tumour) to describe the tumour growth inside a cylinder, a model mimicking the growth of a ductal carcinoma. The model is in the form of a free boundary problem. The analysis of stationary solutions of the problem shows interesting results that are similar to the patterns found in DCIS.
Citation: Yongzhi Xu. A free boundary problem model of ductal carcinoma in situ. Discrete & Continuous Dynamical Systems - B, 2004, 4 (1) : 337-348. doi: 10.3934/dcdsb.2004.4.337
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