title: Mathematical modeling of brain glioma growth using modified reaction-diffusion equation on brain MR images.
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.
authors.affiliation: School of Mathematics and Statistics, Southwest University, Chongqing 400715, China. Electronic address: yuanjianjun.swu@gmail.com.
authors.forename: Jianjun
authors.initials: J
authors.lastname: Yuan
authors.forename: Lipei
authors.initials: L
authors.lastname: Liu
authors.forename: Qingmao
authors.initials: Q
authors.lastname: Hu
mesh_terms: D001932:Brain Neoplasms / Q000000981:diagnostic imaging* / Q000503:physiopathology*; D005260:Female; D005910:Glioma / Q000000981:diagnostic imaging* / Q000503:physiopathology*; D006801:Humans; D008279:Magnetic Resonance Imaging; D008297:Male; D015233:Models, Statistical; D011859:Radiography
keywords: Anisotropic reaction–diffusion; Glioma cells; Local Bhattacharyya distance