6533b823fe1ef96bd127f732
RESEARCH PRODUCT
Symmetry reduction of a model in spherical symmetry for benign tumor
Gaetana GambinoA. M. GrecoMaria Carmela Lombardosubject
Mathematical analysisOdeCircular symmetrySymmetry reductionExpansiveWeak equivalenceMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-04-01 |