Analysis of a time-delayed mathematical model for tumour growth with inhibitors
DOI10.1080/00036811.2011.633901zbMath1277.35333OpenAlexW2022556676MaRDI QIDQ4916344
Xiangqing Zhao, Xiao Wu, Shihe Xu, Meng Bai
Publication date: 22 April 2013
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2011.633901
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Analysis of a mathematical model for tumor growth under indirect effect of inhibitors with time delay in proliferation
- Hopf bifurcation of a free boundary problem modeling tumor growth with two time delays
- Time delay in necrotic core formation
- Modelling the internalization of labelled cells in tumour spheroids
- 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
- Analysis of a mathematical model of the effect of inhibitors on the growth of tumors
- The nonnegativity of solutions to delay differential equations
- 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
- Analysis of mathematical models for the growth of tumors with time delays in cell proliferation
- BIOLOGICAL DELAY SYSTEMS AND THE MIKHAILOV CRITERION OF STABILITY
- Models for the Growth of a Solid Tumor by Diffusion
- Analysis of a mathematical model of the growth of necrotic tumors
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