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A biomathematical model for pressure-dependent lamina cribrosa behavior
He, DQ; Ren, ZQ
1999-06-01
发表期刊JOURNAL OF BIOMECHANICS
ISSN0021-9290
卷号32期号:6页码:579-584
摘要Investigating the relationship between intraocular pressure and the behavior of the lamina cribrosa (the primary site of the optic nerve damage in glaucoma) is important to insight into the pathogenesis of glaucomatous optic neuropathy. In most previous studies, unsuitable approaches were used since the lamina cribrosa was nut taken as the main target. In the present study, a linear model of elastic mechanics theory on the bending of thin circular plate was developed for this purpose. The structural features of the lamina cribrosa and the forces acting on the lamina cribrosa were analyzed, and the constitutive equation was formulated. The general solution on a class of Karman Equation and the analytic solution on fixed boundary conditions were obtained, and from them, the morphological changes and the mechanical properties such as retrodisplacement and force distributions of the lamina cribrosa under pressure were derived. Some of the clinical phenomena occurring in glaucoma damage were explained with the results. Theoretical values were compared with the experimental data obtained by other investigators. The effects of structural parameters on susceptibilities to glaucoma damage were discussed. The biomathematical model, serving as formalistic expressions of the well-known hypothesis of pressure-dependent optic nerve damage in glaucoma, should make it possible for us to further understand and manage this disease. (C) 1999 Elsevier Science Ltd. All rights reserved.
关键词intraocular pressure lamina cribrosa behavior thin circular plate bending Karman Equation cylindrical function
语种英语
WOS研究方向Biophysics ; Engineering
WOS类目Biophysics ; Engineering, Biomedical
WOS记录号WOS:000080222700004
出版者ELSEVIER SCI LTD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/14103
专题中国科学院数学与系统科学研究院
通讯作者He, DQ
作者单位1.Beijing Med Univ, Dept Biostat & Biomath, Beijing 100083, Peoples R China
2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
3.Beijing Med Univ, Sch Clin Med 1, Dept Ophthalmol, Beijing 100034, Peoples R China
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He, DQ,Ren, ZQ. A biomathematical model for pressure-dependent lamina cribrosa behavior[J]. JOURNAL OF BIOMECHANICS,1999,32(6):579-584.
APA He, DQ,&Ren, ZQ.(1999).A biomathematical model for pressure-dependent lamina cribrosa behavior.JOURNAL OF BIOMECHANICS,32(6),579-584.
MLA He, DQ,et al."A biomathematical model for pressure-dependent lamina cribrosa behavior".JOURNAL OF BIOMECHANICS 32.6(1999):579-584.
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