Title of article :
Simple ODE models of tumor growth and anti-angiogenic or radiation treatment
Author/Authors :
Sachs، نويسنده , , R.K. and Hlatky، نويسنده , , L.R. and Hahnfeldt، نويسنده , , P.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2001
Abstract :
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.
Keywords :
Angiogenic inhibitors , Time factors , Radiotherapy and chemotherapy , Tumor growth kinetics
Journal title :
Mathematical and Computer Modelling
Journal title :
Mathematical and Computer Modelling