Simple ordinary differential equation models of tumor growth and anti-angiogenic or radiation treatment

Simple ordinary differential equation models of tumor growth and anti-angiogenic or radiation treatment

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Article ID: iaor2004566
Country: Netherlands
Volume: 33
Issue: 12/13
Start Page Number: 1297
End Page Number: 1305
Publication Date: Jun 2001
Journal: Mathematical and Computer Modelling
Authors: , ,
Keywords: commerce, differential equations
Abstract:

Models of tumor growth and treatment based on one or two ordinary differential equations (ODEs) are heavily used in practice because they are simple but can ofter still capture the essence of complicated interactions. Currently relevant examples of such models are given here: some classic growth equations, an ODE pair for the interplay between tumor and neovascularization during cancer growth or therapy, and an ODE pair for response to ionizing radiation. Mathematically more sophisticated generalizations of various kinds, usually more realistic but less practical, are mentioned very briefly.

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