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Simple ODE models of tumor growth and anti-angiogenic or radiation treatment

✍ Scribed by R.K. Sachs; L.R. Hlatky; P. Hahnfeldt


Book ID
104350922
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
869 KB
Volume
33
Category
Article
ISSN
0895-7177

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✦ Synopsis


Models of tumor growth and treatment based on one or two ordinary differential equations are heavily used in practice because they are simple but can often 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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