Time delays in proliferation process for solid avascular tumor under the action of external inhibitors

DOI10.1142/S1793524515500187zbMath1314.35200MaRDI QIDQ5245862

Meng Bai, Shihe Xu

Publication date: 15 April 2015

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

time delaytumor growthglobal stabilitylocal stabilityinhibitors

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Stability theory of functional-differential equations (34K20) Cell biology (92C37)

Related Items (1)

Analysis of a time-delayed mathematical model for solid avascular tumor growth under the action of external inhibitors

Cites Work

• Analysis of a mathematical model for tumor growth under indirect effect of inhibitors with time delay in proliferation
• 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
• 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 nonnecrotic tumors in the presence and absence of inhibitors
• Analysis of mathematical models for the growth of tumors with time delays in cell proliferation

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