FEM Based Study of Concentration of Proliferating Cell in Brain Tumor

• 作者: Sushma Nema V. P. Saxena
• 来源期刊: 应用数学(英文)
• 学科: 医学
• 关键词: DETERMINISTIC Model GLIOMAS White MATTER Gray MATTER Proliferation MOTILE Cells
• 年，卷（期）: 2012,（8）
• 页码范围: 935-942
• 页数: 8页
• 分类号: R73

摘要

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.