A symmetry reduction of a PDEs system, describing the expansive growth of a benign tumour, is obtained via a group analysis approach. The presence in the model of three arbitrary functions suggests the use of Lie symmetries by using the weak equivalence transformations. An invariant classification is given which allows us to reduce the initial PDEs system to an ODEs system. Numerical simulations show a realistic enough description of the physical process.
Gambino, G., Greco, A., Lombardo, M.C. (2004). A group analysis via weak equivalence transformations for a model of tumor encapsulation. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 37, 3835-3846 [10.1088/0305-4470/37/12/008].
A group analysis via weak equivalence transformations for a model of tumor encapsulation
GAMBINO, Gaetana;GRECO, Antonio;LOMBARDO, Maria Carmela
2004-01-01
Abstract
A symmetry reduction of a PDEs system, describing the expansive growth of a benign tumour, is obtained via a group analysis approach. The presence in the model of three arbitrary functions suggests the use of Lie symmetries by using the weak equivalence transformations. An invariant classification is given which allows us to reduce the initial PDEs system to an ODEs system. Numerical simulations show a realistic enough description of the physical process.
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