Stability of solutions to a free boundary problem for tumor growth

DOI10.1155/2014/427547zbMath1295.35070OpenAlexW2021379020WikidataQ59043134 ScholiaQ59043134MaRDI QIDQ2247866

Shihe Xu

Publication date: 30 June 2014

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/427547

zbMATH Keywords

quasi-stationary solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Free boundary problems for PDEs (35R35)

Cites Work

• Unnamed Item
• Well-posedness and stability analysis for a moving boundary problem modelling the growth of nonnecrotic tumors
• Analysis of a mathematical model for tumor growth under indirect effect of inhibitors with time delay in proliferation
• Bifurcation analysis for a free boundary problem modeling tumor growth
• Time delay in necrotic core formation
• Analysis of tumor growth under direct effect of inhibitors with time delays in proliferation
• Analysis of a mathematical model for the growth of tumors
• Time delays in proliferation process for solid avascular tumour
• Growth of nonnecrotic tumors in the presence and absence of inhibitors
• Analysis of mathematical models for the growth of tumors with time delays in cell proliferation
• Asymptotic behavior of solutions of a free boundary problem modeling the growth of tumors with fluid-like tissue under the action of inhibitors
• Analysis of a two-phase model describing the growth of solid tumors
• Asymptotic behaviour of quasi-stationary solutions of a nonlinear problem modelling the growth of tumours
• Analysis of a mathematical model of the growth of necrotic tumors

This page was built for publication: Stability of solutions to a free boundary problem for tumor growth