A Spherically Symmetric Model for the Tumor Growth | Zendy

Saeed M. Ali | Zendy; Ashfaque H. Bokhari | Zendy; M. Yousuf | Zendy; F. D. Zaman | Zendy

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A Spherically Symmetric Model for the Tumor Growth

Author(s) -

Saeed M. Ali,

Ashfaque H. Bokhari,

M. Yousuf,

F. D. Zaman

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/726837

Subject(s) - thermal diffusivity , symmetry (geometry) , nonlinear system , circular symmetry , reduction (mathematics) , mathematical analysis , mathematics , physics , mathematical physics , geometry , thermodynamics , quantum mechanics

The nonlinear tumor equation in spherical coordinates assuming that both the diffusivity and the killing rate are functions of concentration of tumor cell is studied. A complete classification with regard to the diffusivity and net killing rate is obtained using Lie symmetry analysis. The reduction of the nonlinear governing equation is carried out in some interesting cases and exact solutions are obtained

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