A simplified mathematical model of tumor growth
type: Item
instance of: scholarly article
title: A simplified mathematical model of tumor growth
zbMATH Open document ID: 0601.92007
DOI: 10.1016/0025-5564(86)90119-7
author: John A. Adam
published in: Mathematical Biosciences
publication date: 1986-01-01T00:00:00Z
review text: A one-dimensional model of tumor tissue growth is presented in which the source of mitotic inhibitor is nonuniformly distributed within the tissue (in contrast to many earlier models). As a result, stable and unstable regimes of growth become significantly modified from the uniform-source case, indicating that the model, schematic though it is, is very sensitive to the type of source term assumed, and this has implications for experimental and theoretical comparisons in more realistic geometries.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 34D99
zbMATH DE Number: 3970574
zbMATH Keywords: one-dimensional inhomogeneous diffusion equation
zbMATH Keywords: one-dimensional model of tumor tissue growth
zbMATH Keywords: mitotic inhibitor
MaRDI profile type: Publication
full work available at URL: 0025-5564(86)90119-7
OpenAlex ID: W1986414916
cites work: Models for the Growth of a Solid Tumor by Diffusion
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cites work: Stochastic processes for solid tumor kinetics. II: Diffusion-regulated growth
description: scientific article; zbMATH DE number 3970574