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Mathematical modeling of brain glioma growth using modified reaction-diffusion equation on brain MR images
Jianjun Yuan1, Lipei Liu, Qingmao Hu
1School of Mathematics and Statistics, Southwest University, Chongqing 400715, China.
Abstract:
In this paper, a modified reaction-diffusion model is proposed for modeling the diffusion of brain glioma cells. Unlike the other models, a weighted parameter is introduced, which balances the diffusion coefficient of the grey and white matters. Anisotropic characteristics of the model are represented. A local region similarity measure (local Bhattacharyya distance) determines the weighted parameter. Experimental results demonstrate the effectiveness and accuracy of the modified reaction diffusion equation with a weighted parameter for real brain glioma MR images.
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