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Analysis of a Mathematical Model of the Growth of Necrotic Tumors

✍ Scribed by Shangbin Cui; Avner Friedman

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
236 KB
Volume
255
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we study a model of necrotic tumor growth. The tumor comprises necrotic cells which occupy a radially symmetric core and life proliferating cells which occupy a radially symmetric shell adjacent to the core. The proliferating cells receive nutrients through diffusion from the outer boundary as well as by means of blood flow through a network of capillary vessels. The mathematical model describes the evolution of the nutrient concentration between the boundary of Ž .

Ž . the necrotic core r s t and the outer boundary of the tumor r s R t ; within the core itself the concentration is a constant s , a level under which life ne c s s

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