On forward and inverse problems for a DCIS model with free boundaries in mathematical biology
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Publication:6593070
DOI10.3934/ipi.2024012zbMATH Open1547.35769MaRDI QIDQ6593070
Publication date: 26 August 2024
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
inverse problemfinite difference methodreconstructionmathematical biologyasymmetricfree boundariesductal carcinoma in situunique identifiability
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Free boundary problems for PDEs (35R35) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
Cites Work
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- The migration of cells in multicell tumor spheroids
- 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
- The existence and numerical method for a free boundary problem modeling the ductal carcinoma in situ
- Some inverse problems raised from a mathematical model of ductal carcinoma in situ
- Free boundary problems in biology
- A free boundary problem of diffusion equation with integral condition
- A Free Boundary Problem for an Elliptic-Hyperbolic System: An Application to Tumor Growth
- A hyperbolic free boundary problem modeling tumor growth: Asymptotic behavior
- Models for the Growth of a Solid Tumor by Diffusion
- The global existence and numerical method for the free boundary problem of ductal carcinoma in situ
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