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FEM Based Study of Concentration of Proliferating Cell in Brain Tumor
Department of Mathematics, Sagar Institute of Research and Technology, Bhopal,India
Department of Mathematics, Sagar Institute of Research and Technology, Bhopal,India
- 1 Department of Mathematics, Sagar Institute of Research and Technology, Bhopal,India
- 2 Department of Mathematics, Sagar Institute of Research and Technology, Bhopal,India
Applied Mathematics·Volume 03 (2012)·Pages 935–942·Published 28 August 2012·DOI10.4236/am.2012.38140
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Abstract
In this chapter we have developed a deterministic model of growth of abnormal cell concentration in a human subject at different positions. The diffusion-reaction Equation has been applied to satisfy growth dynamics .The whole tumor region is divided into layers which, with the growth of tumor form necrotic, quiescent and region of proliferating of tumor cells. Finite element method for one dimension has been employed for solving the Equations. Here we have taken into account the cellular motility along with proliferative growth ,which is particularly required in case of some of the brain tumors, where motility of gliomas cells differ widely in gray and white matter.
KeywordsDeterministic ModelGliomasWhite MatterGray MatterProliferationMotile Cells
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