当前位置: X-MOL 学术Stud. Appl. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
A coefficient identification problem for a mathematical model related to ductal carcinoma in situ
Studies in Applied Mathematics ( IF 2.6 ) Pub Date : 2019-09-02 , DOI: 10.1111/sapm.12281
Bin Wu 1 , Qun Chen 1 , Jun Yu 2 , Zewen Wang 3
Affiliation  

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.

中文翻译:

与导管癌相关的数学模型的系数识别问题

我们考虑与导管原位癌(DCIS)有关的具有自由边界的数学模型的系数识别问题。这个反问题旨在根据边界点的其他测量数据确定养分消耗率。我们首先获得逆问题的全局时间唯一性。然后基于优化方法,提出了一种恢复养分消耗率的正则化算法。最后,我们的数值实验表明了所提出数值方法的有效性。
更新日期:2019-09-02
down
wechat
bug