A spherically symmetric model for the tumor growth

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

doi:10.1155/2014/726837

A spherically symmetric model for the tumor growth

Saeed M. Ali, Ashfaque H. Bokhari, M. Yousuf, F. D. Zaman^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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.

Original language	English
Article number	726837
Journal	Journal of Applied Mathematics
Volume	2014
DOIs	https://doi.org/10.1155/2014/726837
State	Published - 2014

ASJC Scopus subject areas

Applied Mathematics

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title = "A spherically symmetric model for the tumor growth",

abstract = "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.",

author = "Ali, \{Saeed M.\} and Bokhari, \{Ashfaque H.\} and M. Yousuf and Zaman, \{F. D.\}",

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journal = "Journal of Applied Mathematics",

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AU - Ali, Saeed M.

AU - Bokhari, Ashfaque H.

AU - Yousuf, M.

AU - Zaman, F. D.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84893774025

U2 - 10.1155/2014/726837

DO - 10.1155/2014/726837

M3 - Article

AN - SCOPUS:84893774025

SN - 1110-757X

VL - 2014

JO - Journal of Applied Mathematics

JF - Journal of Applied Mathematics

M1 - 726837

ER -

A spherically symmetric model for the tumor growth

Abstract

ASJC Scopus subject areas

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