A Spherically Symmetric Model for the Tumor Growth
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...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/726837 |
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| _version_ | 1832558726959071232 |
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| author | Saeed M. Ali Ashfaque H. Bokhari M. Yousuf F. D. Zaman |
| author_facet | Saeed M. Ali Ashfaque H. Bokhari M. Yousuf F. D. Zaman |
| author_sort | Saeed M. Ali |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-60eda136df3e449fbde7cea4472d0510 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-60eda136df3e449fbde7cea4472d05102025-02-03T01:31:46ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/726837726837A Spherically Symmetric Model for the Tumor GrowthSaeed M. Ali0Ashfaque H. Bokhari1M. Yousuf2F. D. Zaman3Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi ArabiaThe 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.http://dx.doi.org/10.1155/2014/726837 |
| spellingShingle | Saeed M. Ali Ashfaque H. Bokhari M. Yousuf F. D. Zaman A Spherically Symmetric Model for the Tumor Growth Journal of Applied Mathematics |
| title | A Spherically Symmetric Model for the Tumor Growth |
| title_full | A Spherically Symmetric Model for the Tumor Growth |
| title_fullStr | A Spherically Symmetric Model for the Tumor Growth |
| title_full_unstemmed | A Spherically Symmetric Model for the Tumor Growth |
| title_short | A Spherically Symmetric Model for the Tumor Growth |
| title_sort | spherically symmetric model for the tumor growth |
| url | http://dx.doi.org/10.1155/2014/726837 |
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