Mathematical Models of Avascular Tumor Growth
نویسندگان
چکیده
منابع مشابه
Mathematical Models of Avascular Tumor Growth
This review will outline 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 ...
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In this chapter we review existing continuum models of avascular tumor growth, explaining how they are inter-related and the biophysical insight that they provide. The models range in complexity and include one-dimensional studies of radiallysymmetric growth, and two-dimensional models of tumor invasion in which the tumor is assumed to comprise a single population of cells. We also present more...
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Tumors become especially dangerous after they induce blood vessel growth, because the new blood vessels can not only carry oxygen and nutrition that further facilitate tumor growth but also act as passages for tumor cells to spread to other sites of the body. Thus tumor growth can be divided into two phases: avascular and vascular growth. We present two simple mathematical models, 1) to underst...
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ژورنال
عنوان ژورنال: SIAM Review
سال: 2007
ISSN: 0036-1445,1095-7200
DOI: 10.1137/s0036144504446291