Mathematical model of prevascular growth of a spherical carcinoma. II

DOI10.1016/0895-7177(93)90114-EzbMath0788.92010MaRDI QIDQ1310185

Sophia A. Maggelakis

Publication date: 1 June 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

necrosismetabolic processes of living cellsnon- uniform inhibitor productionnon-uniform nutrient consumptionprevascular phases of tumor growthspherical carcinomathree-dimensional spherically symmetric diffusion equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Medical applications (general) (92C50)

Related Items (2)

Heat transfer in tissue containing a prevascular tumor ⋮ The effects of tumor angiogenesis factor (TAF) and tumor inhibitor factors (TIFs) on tumor vascularization: A mathematical model

Cites Work

• Mathematical model of prevascular growth of a spherical carcinoma
• Note on a diffusion model of tissue growth
• A mathematical model of tumor growth. II. Effects of geometry and spatial nonuniformity on stability
• A mathematical model of tumor growth. III. Comparison with experiment
• Effects of non-uniform inhibitor production on the growth of cancer cell cultures
• Stochastic processes for solid tumor kinetics. II: Diffusion-regulated growth
• Stochastic processes for solid tumor kinetics. I: Surface-regulated growth
• Mathematical models of tumor growth. IV: Effects of a necrotic core
• Models for the Growth of a Solid Tumor by Diffusion

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