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Mathematical models of avascular tumor growth. (English) Zbl 1117.93011
Summary: This review outlines a number of illustrative mathematical models describing the growth of avascular tumors. The aim of the review is to provide a relatively comprehensive list of existing models in this area and discuss several representative models in greater detail. In the latter part of the review, some possible future avenues of mathematical modeling of avascular tumor development are outlined together with a list of key questions.
MSC:
93A30Mathematical modelling of systems
92B05General biology and biomathematics
62P10Applications of statistics to biology and medical sciences
93C20Control systems governed by PDE
35K57Reaction-diffusion equations