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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:

93A30 Mathematical modelling of systems (MSC2010)
92B05 General biology and biomathematics
62P10 Applications of statistics to biology and medical sciences; meta analysis
93C20 Control/observation systems governed by partial differential equations
35K57 Reaction-diffusion equations
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