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Models for the Growth of a Solid Tumor by Diffusion
Author(s) -
Greenspan H. P.
Publication year - 1972
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1972514317
Subject(s) - diffusion , radius , function (biology) , simple (philosophy) , solid tumor , growth function , mathematics , solid state , order (exchange) , mathematical analysis , calculus (dental) , statistical physics , statistics , physics , computer science , thermodynamics , biology , cancer , engineering physics , medicine , evolutionary biology , philosophy , genetics , computer security , epistemology , dentistry , finance , economics
A simple mathematical model of tumor growth by diffusion is constructed in order to examine and evaluate different hypotheses concerning the evolution of a solid carcinoma. A primary objective is to infer the chemical source of growth inhibition from the most easily obtained data, namely, the outer radius of the nodule as a function of time and a histological examination of the final dormant state. In section 6 some of the conclusions of this study relating to a prototype experiment and described with as little mathematics as possible.