The effects of tumor angiogenesis factor (TAF) and tumor inhibitor factors (TIFs) on tumor vascularization: A mathematical model

DOI10.1016/0895-7177(96)00022-2zbMath0858.92019OpenAlexW2000791857WikidataQ127860128 ScholiaQ127860128MaRDI QIDQ1921081

Sophia A. Maggelakis

Publication date: 23 March 1997

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

Full work available at URL: https://doi.org/10.1016/0895-7177(96)00022-2

zbMATH Keywords

angiostatinspherical geometryvascularizationdiffusion equationscancer cellstumor angiogenesis factortumor inhibitor factors

Mathematics Subject Classification ID

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

Related Items (3)

Understanding the antiangiogenic effect of metronomic chemotherapy through a simple mathematical model ⋮ Numerical simulation of the inhibitory effect of angiostatin on metastatic tumor angiogenesis and microenvironment ⋮ Stability of a mathematical model of tumour-induced angiogenesis

Cites Work

• Unnamed Item
• Unnamed Item
• Mathematical model of prevascular growth of a spherical carcinoma
• A simplified mathematical model of tumor 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
• Stochastic processes for solid tumor kinetics. II: Diffusion-regulated growth
• A model for the growth of a solid tumor with non-uniform oxygen consumption
• Mathematical model of prevascular growth of a spherical carcinoma. II
• Type \(\alpha\) and type \(\beta\) transforming growth factors as regulators of cancer cellular growth: A mathematical model
• Stochastic processes for solid tumor kinetics. I: Surface-regulated growth
• Models for the Growth of a Solid Tumor by Diffusion

This page was built for publication: The effects of tumor angiogenesis factor (TAF) and tumor inhibitor factors (TIFs) on tumor vascularization: A mathematical model