A free boundary problem arising from DCIS mathematical model |
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| Authors: | Heng Li Yongzhi Xu Jian‐Rong Zhou |
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| Institution: | 1. Department of Mathematics, University of Louisville, Louisville, KY, USA;2. Department of Mathematics, Foshan University, Foshan, Guangdong, China |
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| Abstract: | Ductal carcinoma in situ – a special cancer – is confined within the breast ductal only. We derive the mathematical ductal carcinoma in situ model in a form of a nonlinear parabolic equation with initial, boundary, and free boundary conditions. Existence, uniqueness, and stability of problem are proved. Algorithm and illustrative examples are included to demonstrate the validity and applicability of the technique in this paper. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | nonlinear parabolic equation free boundary problem numerical solution ductal carcinoma in situ (DCIS) model |
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