A PDEs system, describing the expansive growth of a benign tumor and the phe- nomenon of encapsulation, is studied via a group analysis approach. A weak equiv- alence classi¯cation is obtained and the original PDEs system is reduced to an ODEs system. Numerical simulations are performed both for ODEs and PDEs, which turn out to be in perfect agreement between each other, showing a realistic enough description of the biological process.
GAMBINO G, GRECO A M, LOMBARDO M C (2004). Symmetry reduction of a model in spherical symmetry for benign tumor. In Proceedings WASCOM 2003 (pp.241-246). R. Monaco, S. Pennisi, S.Rionero, T. Ruggeri.
Symmetry reduction of a model in spherical symmetry for benign tumor
GAMBINO, Gaetana;GRECO, Antonio;LOMBARDO, Maria Carmela
2004-01-01
Abstract
A PDEs system, describing the expansive growth of a benign tumor and the phe- nomenon of encapsulation, is studied via a group analysis approach. A weak equiv- alence classi¯cation is obtained and the original PDEs system is reduced to an ODEs system. Numerical simulations are performed both for ODEs and PDEs, which turn out to be in perfect agreement between each other, showing a realistic enough description of the biological process.
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