Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 16, Issue 7, Pages 1199-1218Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202506001510
Keywords
tumor growth; dynamic scaling; evolution of interfaces; asymptotic behavior
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This work is concerned with a model which has been proposed to describe the growth of solid tumors. More precisely, the model under consideration provides a procedure to extract information about the growth dynamics from the analysis of the geometrical properties of the interface tumor-host tissue. In particular, it is suggested that the tumor boundary should evolve according to some stochastic evolution equation. This is herein compared with other dynamic equations related to the growth of rough surfaces, and a number of questions concerning the asymptotics of the corresponding solutions (and its relation to that of their deterministic counterparts) are discussed.
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