Radially symmetric growth of nonnecrotic tumors

DOI10.1007/s00030-009-0037-6zbMath1193.34036OpenAlexW2036700894MaRDI QIDQ2268881

Anca-Voichita Matioc, Joachim Escher

Publication date: 15 March 2010

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-009-0037-6

zbMATH Keywords

tumor growthfree boundary problemradial symmetry

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Cell biology (92C37) Second-order elliptic systems (35J47)

Related Items (14)

Bifurcation for a free boundary problem modeling the growth of tumors with a drug induced nonlinear proliferation rate ⋮ Symmetry-breaking bifurcation for a free-boundary tumor model with time delay ⋮ Asymptotic behavior of a nonlinear necrotic tumor model with a periodic external nutrient supply ⋮ Bifurcation analysis for a free boundary problem modeling tumor growth ⋮ Asymptotic stability for a free boundary tumor model with angiogenesis ⋮ On the blow-up mechanism of moving boundary problems ⋮ Bifurcation from stability to instability for a free boundary tumor model with angiogenesis ⋮ Bifurcation for a free-boundary tumor model with angiogenesis ⋮ Analysis of a two-phase model describing the growth of solid tumors ⋮ On the justification of the quasistationary approximation of several parabolic moving boundary problems. Part I ⋮ Radially symmetric growth of necrotic tumors and connection with nonnecrotic tumors ⋮ The impact of time delay in a tumor model ⋮ A three-dimensional angiogenesis model with time-delay ⋮ Hybrid PDE solver for data-driven problems and modern branching

Cites Work

• Analysis of a mathematical model for the growth of tumors
• Nonlinear simulation of tumor growth
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Growth of nonnecrotic tumors in the presence and absence of inhibitors
• Analysis of a free boundary problem modeling tumor growth
• Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth
• ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
• Symmetry-breaking bifurcations for free boundary problems
• Bifurcation Analysis of an Elliptic Free Boundary Problem Modelling the Growth of Avascular Tumors

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