北京生物醫(yī)學(xué)工程

角膜膠原交聯(lián)后應(yīng)力重分布的有限元研究

Finite element analysis of stress redistribution after corneal collagen cross-linking

作者：于夢(mèng)瑤秦曉張海霞李林

單位：首都醫(yī)科大學(xué)生物醫(yī)學(xué)工程學(xué)院；首都醫(yī)科大學(xué)臨床生物力學(xué)應(yīng)用基礎(chǔ)研究北京市重點(diǎn)實(shí)驗(yàn)室（北京100069）

關(guān)鍵詞：角膜膠原交聯(lián)；應(yīng)力分布；有限元方法

分類號(hào)：R318.01

出版年·卷·期（頁碼）：2019·38·6（598-604）

摘要：

目的利用有限元的方法，探索角膜膠原交聯(lián)手術(shù)后基質(zhì)層中應(yīng)力再分布的規(guī)律。方法通過提取正常兔眼角膜OCT圖像的輪廓，建立軸對(duì)稱的分區(qū)分層幾何模型，賦予幾何模型不同分布規(guī)律的彈性模量，探究交聯(lián)后局部力學(xué)性質(zhì)改變對(duì)于應(yīng)力在角膜中再分布規(guī)律的影響。結(jié)果交聯(lián)導(dǎo)致的力學(xué)性質(zhì)的改變對(duì)于角膜基質(zhì)層中應(yīng)力的分布有顯著影響，交聯(lián)模型中央交聯(lián)區(qū)域及交界區(qū)域前基質(zhì)層的應(yīng)力顯著上升，比非交聯(lián)模型提高20%~40%，后基質(zhì)層的應(yīng)力明顯下降，比非交聯(lián)模型降低10%~15%。結(jié)論交聯(lián)術(shù)后角膜中央?yún)^(qū)域力學(xué)性質(zhì)增強(qiáng)會(huì)改變基質(zhì)層內(nèi)應(yīng)力分布的規(guī)律，使得原有的應(yīng)力沿角膜深度方向和沿角膜中央向邊緣方向近似線性遞增的規(guī)律消失，應(yīng)力在深度方向的分布更加均勻。

Objective To explore the stress redistribution in corneal stroma after collagen cross-linking surgery by finite element method. Methods By extracting the contour of normal rabbit corneal OCT images, an axisymmetric hierarchical geometric model was established, and the elastic modulus of the geometric model with different distribution laws was given to explore the effect of local mechanical properties on the redistribution of stress in cornea after crosslinking. Results The stress distribution in corneal stroma was significantly affected by the change of mechanical properties caused by cross-linking. The stress in the central cross-linking area and the anterior stroma in the junction area of the cross-linking model increased by 20%-40% compared with the non-cross-linking model, and the stress in the posterior stroma decreased by 10%-15% compared with the non-cross-linking model. Conclusions After cross-linking, the enhancement of mechanical properties in the central corneal region may change the distribution of stress in the stroma and make the distribution of stress more uniform in the depth direction. The law that the stress increases linearly along the depth and from the center to the edge disappears.

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