The existence and numerical method for a free boundary problem modeling the ductal carcinoma in situ

DOI10.1016/j.aml.2021.107378zbMath1472.92086OpenAlexW3163915345MaRDI QIDQ2235001

Dan Liu, Keji Liu, Dinghua Xu

Publication date: 19 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107378

zbMATH Keywords

numerical methoduniquenessfree boundary problemductal carcinoma in situ

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Finite difference methods for boundary value problems involving PDEs (65N06) Pathology, pathophysiology (92C32)

Cites Work

• Analysis of a mathematical model for the growth of tumors
• A free boundary problem model of ductal carcinoma in situ
• Growth of nonnecrotic tumors in the presence and absence of inhibitors
• Some inverse problems raised from a mathematical model of ductal carcinoma in situ
• Free boundary problems in biology
• A Free Boundary Problem for an Elliptic-Hyperbolic System: An Application to Tumor Growth
• Numerical algorithms for a free boundary problem model of DCIS and a related inverse problem
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