Bifurcation analysis of amathematical model for the growth of solid tumors in the presence of external inhibitors
From MaRDI portal
Publication:5256779
DOI10.1002/mma.3190zbMath1322.35185OpenAlexW1998477374MaRDI QIDQ5256779
Publication date: 29 June 2015
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3190
Medical applications (general) (92C50) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32)
Related Items (15)
Bifurcation analysis for a free-boundary tumor model with angiogenesis and inhibitor ⋮ Stationary solutions of a free boundary problem modeling growth of angiogenesis tumor with inhibitor ⋮ Stationary solutions of a free boundary problem modeling the growth of tumors with Gibbs-Thomson relation ⋮ Bifurcation for a free boundary problem modeling tumor growth with ECM and MDE interactions ⋮ Bifurcation for a free boundary problem modeling the growth of tumors with a drug induced nonlinear proliferation rate ⋮ Bifurcation solutions of a free boundary problem modeling tumor growth with angiogenesis ⋮ Linear stability analysis for the free boundary problem modeling tumor growth with angiogenesis in the presence of inhibitors ⋮ Bifurcation analysis of a free boundary problem modeling multilayered tumor growth with time delay ⋮ Bifurcation for a free boundary problem modeling the growth of necrotic multilayered tumors ⋮ Bifurcation analysis of a tumor-model free boundary problem with a nonlinear boundary condition ⋮ The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients ⋮ Stationary solutions of a free boundary problem modeling the growth of vascular tumors with a necrotic core ⋮ Bifurcation for a free-boundary tumor model with extracellular matrix and matrix degrading enzymes ⋮ Linear stability analysis for a free boundary problem modeling tumor growth in the presence of high-molecular mass drugs ⋮ Symmetry-breaking bifurcations for free boundary problems modeling tumor growth
Cites Work
- Unnamed Item
- Bifurcation analysis for a free boundary problem modeling tumor growth
- Classical solutions for Hele-Shaw models with surface tension
- Analysis of a mathematical model of the effect of inhibitors on the growth of tumors
- Analysis of a mathematical model for the growth of tumors under the action of external inhibitors
- Growth of necrotic tumors in the presence and absence of inhibitors
- Growth of nonnecrotic tumors in the presence and absence of inhibitors
- Bifurcation from stability to instability for a free boundary problem arising in a tumor model
- Bifurcation from simple eigenvalues
- Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth
- Bifurcation analysis of a free boundary problem modelling tumour growth under the action of inhibitors
- Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model
- Free boundary value problems associated with the growth and development of multicellular spheroids
- ON THE EXISTENCE OF SPATIALLY PATTERNED DORMANT MALIGNANCIES IN A MODEL FOR THE GROWTH OF NON-NECROTIC VASCULAR TUMORS
- Symmetry-breaking bifurcations for free boundary problems
- MATHEMATICAL ANALYSIS AND CHALLENGES ARISING FROM MODELS OF TUMOR GROWTH
- Asymptotic behaviour of solutions of a free boundary problem modelling the growth of tumours in the presence of inhibitors
- Bifurcation Analysis of an Elliptic Free Boundary Problem Modelling the Growth of Avascular Tumors
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
This page was built for publication: Bifurcation analysis of amathematical model for the growth of solid tumors in the presence of external inhibitors
