On the solutions and conservation laws of the model for tumor growth in the brain

A. H. Bokhari; A. H. Kara; F. D. Zaman

doi:10.1016/j.jmaa.2008.09.065

On the solutions and conservation laws of the model for tumor growth in the brain

A. H. Bokhari
, A. H. Kara^*
, F. D. Zaman

^*Corresponding author for this work

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

31 Scopus citations

Abstract

We study the problem of tumor growth and its monitoring ranging from the simple model for the radially symmetric to the more complex case being the radially non-symmetric one. In each case, we take killing rate of the cancer cells dependent on the concentration of the cells. A number of invariant reductions whose further analysis leads to exact solutions are obtained. Conservation laws for the model are also studied.

Original language	English
Pages (from-to)	256-261
Number of pages	6
Journal	Journal of Mathematical Analysis and Applications
Volume	350
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2008.09.065
State	Published - 1 Feb 2009

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Exact solutions
Tumor growth
Two-dimensional Lie subalgebras

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2008.09.065

Cite this

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abstract = "We study the problem of tumor growth and its monitoring ranging from the simple model for the radially symmetric to the more complex case being the radially non-symmetric one. In each case, we take killing rate of the cancer cells dependent on the concentration of the cells. A number of invariant reductions whose further analysis leads to exact solutions are obtained. Conservation laws for the model are also studied.",

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AU - Kara, A. H.

AU - Zaman, F. D.

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N2 - We study the problem of tumor growth and its monitoring ranging from the simple model for the radially symmetric to the more complex case being the radially non-symmetric one. In each case, we take killing rate of the cancer cells dependent on the concentration of the cells. A number of invariant reductions whose further analysis leads to exact solutions are obtained. Conservation laws for the model are also studied.

AB - We study the problem of tumor growth and its monitoring ranging from the simple model for the radially symmetric to the more complex case being the radially non-symmetric one. In each case, we take killing rate of the cancer cells dependent on the concentration of the cells. A number of invariant reductions whose further analysis leads to exact solutions are obtained. Conservation laws for the model are also studied.

KW - Exact solutions

KW - Tumor growth

KW - Two-dimensional Lie subalgebras

UR - https://www.scopus.com/pages/publications/54149097503

U2 - 10.1016/j.jmaa.2008.09.065

DO - 10.1016/j.jmaa.2008.09.065

M3 - Article

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ER -

On the solutions and conservation laws of the model for tumor growth in the brain

Abstract

UN SDGs

Keywords

ASJC Scopus subject areas

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