Qualitative analysis of a free boundary problem for tumor growth under the action of periodic external inhibitors
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Publication:4600688
DOI10.1142/S1793524518500080zbMath1380.34124MaRDI QIDQ4600688
Zhong Wang, Meng Bai, Shihe Xu, Fangwei Zhang
Publication date: 12 January 2018
Published in: International Journal of Biomathematics (Search for Journal in Brave)
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Cell biology (92C37) Qualitative investigation and simulation of models involving functional-differential equations (34K60)
Cites Work
- A history of the study of solid tumour growth: the contribution of mathematical modelling
- A time-delayed mathematical model for tumor growth with the effect of a periodic therapy
- A generalization of the Bernfeld-Haddock conjecture
- Analysis of a solid avascular tumor growth model with time delays in proliferation process
- Time delay in necrotic core formation
- Solid tumour growth analysis of necrotic core formation
- Modelling the internalization of labelled cells in tumour spheroids
- Hopf bifurcation in a solid avascular tumour growth model with two discrete delays
- 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
- 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
- Interactions between the immune system and cancer: A brief review of non-spatial mathematical models
- The ecology and evolutionary biology of cancer: a review of mathematical models of necrosis and tumor cell diversity
- Analysis of a free boundary problem modeling tumor growth
- 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
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