A coefficient identification problem for a mathematical model related to ductal carcinoma in situ. Issue 4 (2nd September 2019)

• Record Type: Journal Article
• Authors: Wu, Bin; Chen, Qun; Yu, Jun; Wang, Zewen
• Is Part Of: Studies in applied mathematics. Volume 143:Issue 4(2019)
• Page Start: 356
• Page End: 372
• Publication Date: 2019-09-02
• Subjects: DCIS model -- free boundary problem -- inverse problems -- regularization algorithm; Mathematics -- Periodicals; Mathématiques -- Périodiques; Mathématique; Mathématique appliquée; Ressource Internet (Descripteur de forme); Périodique électronique (Descripteur de forme); 519
• DOI: 10.1111/sapm.12281
• Languages: English
• ISSNs: 0022-2526

Abstract

Abstract: 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.