Premium
A coefficient identification problem for a mathematical model related to ductal carcinoma in situ
Author(s) -
Wu Bin,
Chen Qun,
Yu Jun,
Wang Zewen
Publication year - 2019
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/sapm.12281
Subject(s) - uniqueness , regularization (linguistics) , inverse problem , mathematics , boundary (topology) , boundary value problem , ductal carcinoma , parameter identification problem , identification (biology) , inverse , mathematical optimization , mathematical analysis , computer science , model parameter , geometry , medicine , botany , cancer , artificial intelligence , breast cancer , biology
We consider a coefficient identification problem for a mathematical model with free boundary related to ductal carcinoma in situ (DCIS). This inverse problem aims to determine the nutrient consumption rate from additional measurement data at a boundary point. We first obtain a global‐in‐time uniqueness of our inverse problem. Then based on the optimization method, we present a regularization algorithm to recover the nutrient consumption rate. Finally, our numerical experiment shows the effectiveness of the proposed numerical method.