Radially symmetric growth of necrotic tumors and connection with nonnecrotic tumors

DOI10.1016/j.nonrwa.2019.04.012zbMath1433.35433OpenAlexW2947672758MaRDI QIDQ2286644

Junde Wu, Chen Wang

Publication date: 22 January 2020

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2019.04.012

zbMATH Keywords

stabilityfree boundary problemstationary solutionnecrotic tumor

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell biology (92C37) Free boundary problems for PDEs (35R35) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (8)

Asymptotic behavior of a nonlinear necrotic tumor model with a periodic external nutrient supply ⋮ A free boundary problem for necrotic tumor growth with angiogenesis ⋮ Linear stability analysis for the free boundary problem modeling tumor growth with angiogenesis in the presence of inhibitors ⋮ Analysis of a free boundary problem for vascularized tumor growth with a necrotic core and time delays ⋮ Analysis of a nonlinear necrotic tumor model with two free boundaries ⋮ Analysis of a nonlinear free-boundary tumor model with angiogenesis and a connection between the nonnecrotic and necrotic phases ⋮ Analysis of necrotic core formation in angiogenic tumor growth ⋮ A parabolic-hyperbolic system modeling the tumor growth with angiogenesis

Cites Work

• Unnamed Item
• Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core
• Analysis of a mathematical model for tumor growth with Gibbs-Thomson relation
• Analysis of a mathematical model for the growth of tumors
• Growth of necrotic tumors in the presence and absence of inhibitors
• Radially symmetric growth of nonnecrotic tumors
• Bifurcation for a free boundary problem modeling the growth of necrotic multilayered tumors
• Formation of necrotic cores in the growth of tumors: analytic results
• Analysis of a free boundary problem modeling tumor growth
• Stationary solutions of a free boundary problem modeling the growth of tumors with Gibbs-Thomson relation
• Stationary Solutions of a Model for the Growth of Tumors and a Connection between the Nonnecrotic and Necrotic Phases
• Linear stability for a free boundary tumor model with a periodic supply of external nutrients
• Analysis of a mathematical model of the growth of necrotic tumors

This page was built for publication: Radially symmetric growth of necrotic tumors and connection with nonnecrotic tumors