Bifurcation for a free-boundary tumor model with extracellular matrix and matrix degrading enzymes
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Publication:2288044
DOI10.1016/j.jde.2019.09.055zbMath1430.35023OpenAlexW2980178109WikidataQ127069047 ScholiaQ127069047MaRDI QIDQ2288044
Publication date: 16 January 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2019.09.055
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)
Related Items (5)
Linear Stability Analysis for a Free Boundary Problem Modeling Multilayer Tumor Growth with Time Delay ⋮ Analysis of a radial free boundary tumor model with time-dependent absorption efficiency ⋮ Asymptotic stability for a free boundary tumor model with angiogenesis ⋮ Symmetry-breaking bifurcations for free boundary problems modeling tumor growth ⋮ Asymptotic stability for a free boundary tumor model with a periodic supply of external nutrients
Cites Work
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- Continuation along bifurcation branches for a tumor model with a necrotic core
- Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core
- Bifurcation for a free-boundary tumor model with angiogenesis
- Hopf bifurcation of a free boundary problem modeling tumor growth with two time delays
- Bifurcation analysis for a free boundary problem modeling tumor growth
- Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation
- Bifurcation for a free boundary problem modeling a protocell
- Bifurcations for a multidimensional free boundary problem modeling the growth of tumor cord
- Elliptic partial differential equations of second order
- Bifurcation for a free boundary problem modeling tumor growth with ECM and MDE interactions
- The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems
- Growth of nonnecrotic tumors in the presence and absence of inhibitors
- Bifurcation analysis for a free-boundary tumor model with angiogenesis and inhibitor
- Mathematical modelling of radiotherapy strategies for early breast cancer
- A mathematical model of breast cancer development, local treatment and recurrence
- Multiscale modelling and nonlinear simulation of vascular tumour growth
- Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology
- Bifurcation for a free boundary problem with surface tension modeling the growth of multi-layer tumors
- 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
- Bifurcation for a free boundary problem modeling the growth of multi-layer tumors
- Bifurcation for a free boundary problem modeling tumor growth with inhibitors
- Bifurcation from simple eigenvalues
- 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
- 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
- Modelling Aspects of Cancer Growth: Insight from Mathematical and Numerical Analysis and Computational Simulation
- Stability and bifurcation analysis of a free boundary problem modelling multi-layer tumours with Gibbs–Thomson relation
- Bifurcation analysis of amathematical model for the growth of solid tumors in the presence of external inhibitors
- Bifurcation for a Free Boundary Problem Modeling Tumor Growth by Stokes Equation
- 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
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