Solid tumour growth analysis of necrotic core formation
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Publication:815373
DOI10.1016/j.mcm.2004.06.022zbMath1080.92039OpenAlexW1992749568MaRDI QIDQ815373
A. Mokwa-Borkowska, Urszula Fory's
Publication date: 16 February 2006
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2004.06.022
ordinary differential equationsreaction-diffusion equationimplicit functionapoptosisproliferationnecrotic corenecrosissolid avascular tumour
Probabilistic models, generic numerical methods in probability and statistics (65C20) Medical applications (general) (92C50)
Related Items (21)
Analysis of a free boundary problem for tumor growth in a periodic external environment ⋮ A time-delayed mathematical model for tumor growth with the effect of a periodic therapy ⋮ A free boundary problem for necrotic tumor growth with angiogenesis ⋮ Stability of solutions to a mathematical model for necrotic tumor growth with time delays in proliferation ⋮ Analysis of a free boundary problem for vascularized tumor growth with a necrotic core and time delays ⋮ The nature of Hopf bifurcation for the Gompertz model with delays ⋮ Analysis of a free boundary problem modeling spherically symmetric tumor growth with angiogenesis and a periodic supply of nutrients ⋮ Global stability of solutions to a free boundary problem of ductal carcinoma in situ ⋮ Qualitative analysis of a free boundary problem for tumor growth under the action of periodic external inhibitors ⋮ Observer-based techniques for the identification and analysis of avascular tumor growth ⋮ Analysis of a free boundary problem for avascular tumor growth with a periodic supply of nutrients ⋮ A two-phenotype model of immune evasion by cancer cells ⋮ Global existence and uniqueness of solutions for a free boundary problem modeling the growth of tumors with a necrotic core and a time delay in process of proliferation ⋮ Analysis of a time-delayed mathematical model for tumour growth with an almost periodic supply of external nutrients ⋮ Hopf bifurcation in a solid avascular tumour growth model with two discrete delays ⋮ Analysis of a free boundary problem for tumor growth with Gibbs-Thomson relation and time delays ⋮ Analysis of a nonlinear free-boundary tumor model with angiogenesis and a connection between the nonnecrotic and necrotic phases ⋮ Stationary solutions of a free boundary problem modeling the growth of vascular tumors with a necrotic core ⋮ Analysis of a free boundary problem for tumor growth with angiogenesis and time delays in proliferation ⋮ Analysis of necrotic core formation in angiogenic tumor growth ⋮ Analysis of a delayed free boundary problem with application to a model for tumor growth of angiogenesis
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