A group analysis via weak equivalence transformations for a model of tumour encapsulation

G Gambino, A M Greco, M C Lombardo
2004 Journal of Physics A: Mathematical and General  
Exact solutions of a PDEs system, describing the expansive growth of benign tumor, via a group analysis approach are investigated. 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.
doi:10.1088/0305-4470/37/12/008 fatcat:lj66fe7uunhxpo5n5ykspp33xi