Steady-state analysis of necrotic core formation for solid avascular tumors with time delays in regulatory apoptosis

DOI10.1155/2014/467158zbMath1423.92132OpenAlexW1999490449WikidataQ34412824 ScholiaQ34412824MaRDI QIDQ2330163

Shihe Xu, Fangwei Zhang

Publication date: 21 October 2019

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/467158

zbMATH Keywords

necrotic core formationregulatory apoptosissolid avascular tumors

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50)

Related Items (1)

Analysis of a nonlinear free-boundary tumor model with angiogenesis and a connection between the nonnecrotic and necrotic phases

Cites Work

• Time delay in necrotic core formation
• Analysis of tumor growth under direct effect of inhibitors with time delays in proliferation
• Analysis of a mathematical model for the growth of tumors
• The effect of time delays on the dynamics of avascular tumor growth
• Time delays in proliferation process for solid avascular tumour
• Time delays in regulatory apoptosis for solid avascular tumour
• Growth of necrotic tumors in the presence and absence of inhibitors
• Growth of nonnecrotic tumors in the presence and absence of inhibitors
• Formation of necrotic cores in the growth of tumors: analytic results
• The ecology and evolutionary biology of cancer: a review of mathematical models of necrosis and tumor cell diversity
• Analysis of mathematical models for the growth of tumors with time delays in cell proliferation
• Models for the Growth of a Solid Tumor by Diffusion

This page was built for publication: Steady-state analysis of necrotic core formation for solid avascular tumors with time delays in regulatory apoptosis