Type \(\alpha\) and type \(\beta\) transforming growth factors as regulators of cancer cellular growth: A mathematical model

DOI10.1016/0895-7177(93)90054-3zbMath0792.92013OpenAlexW2087013768MaRDI QIDQ1324277

Sophia A. Maggelakis

Publication date: 26 July 1994

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

Full work available at URL: https://doi.org/10.1016/0895-7177(93)90054-3

zbMATH Keywords

tumor growthgrowth ratecell proliferationgrowth factorspolypeptidesautocrine secretioncancer cell culturesgrowth-regulatory moleculesmulticellular spheroidspherically symmetric time-independent diffusion equationstransforming growth factors

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Biochemistry, molecular biology (92C40)

Related Items (4)

Dynamics of tumor interaction with the host immune system ⋮ The effects of tumor angiogenesis factor (TAF) and tumor inhibitor factors (TIFs) on tumor vascularization: A mathematical model ⋮ From population dynamics to modelling the competition between tumors and immune system ⋮ A mathematical model of growth factor induced capillary growth in the retina

Cites Work

• Diffusion regulated growth characteristics of a spherical prevascular carcinoma
• Mathematical model of prevascular growth of a spherical carcinoma
• Note on a diffusion model of tissue growth
• Effects of non-uniform inhibitor production on the growth of cancer cell cultures
• A model for the growth of a solid tumor with non-uniform oxygen consumption
• Mathematical models of tumor growth. IV: Effects of a necrotic core
• A model of oxygen diffusion in absorbing tissue
• Models for the Growth of a Solid Tumor by Diffusion

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