Collagen fibril crimping constitutive model

  • 文章类型: Journal Article
    从角膜生物力学的角度探讨小切口微透镜摘除的最佳切割深度(Cap)。利用基质亚区域材料模型建立角膜三维有限元模型,模拟小切口微透镜摘除。微透镜取出前后角膜后表面中心点的位移差PΔ,以及在角膜中心四个不同厚度点处的vonMises应力,使用有限元模型进行分析,考虑了角膜前后的超弹性和刚度差异。不同屈光度下PΔ-Cap和vonMises应力-Cap关系的数值曲线表明,在相同屈光度下,位移差PΔ具有最小值。在这种情况下,在角膜中心具有不同厚度的四个点上的vonMises应力也很小。这意味着最佳切割深度存在于角膜中。此外,对于基质刚度边界的不同深度的PΔ-Cap曲线表明,最佳盖厚度会随着基质刚度边界的深度而变化。这些结果对准确制定小切口微透镜摘除手术方案具有指导意义,有助于推进角膜生物力学特性的研究。
    To investigate the optimal cutting depth (Cap) in small incision lenticule extraction from the perspective of corneal biomechanics, a three-dimensional finite element model of the cornea was established using a stromal sub-regional material model to simulate small incision lenticule extraction. The displacement difference PΔ at the central point of the posterior corneal surface before and after lenticule extraction, as well as the von Mises stress at four points of different thicknesses in the center of the cornea, were analyzed using the finite element model considering the hyperelastic property and the difference in stiffness between the anterior and posterior of the cornea. The numerical curves of PΔ-Cap and von Mises Stress-Cap relations at different diopters show that the displacement difference PΔ has a smallest value at the same diopter. In this case, the von Mises stress at four points with different thicknesses in the center of the cornea was also minimal. Which means that the optimal cutting depth exsisting in the cornea. Moreover, PΔ-Cap curves for different depth of stromal stiffness boundaries show that the optimal cap thickness would change with the depth of the stromal stiffness boundary. These results are of guiding significance for accurately formulating small incision lenticule extraction surgery plans and contribute to the advancement of research on the biomechanical properties of the cornea.
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  • 文章类型: Journal Article
    研究近视患者中央前间质的超弹性和各向异性行为。小切口微透镜摘除(SMILE)手术后提取的40个角膜基质标本用于沿两个优先原纤维方向的双轴延伸测试。提出了一种具有特定物理意义的改进的胶原纤维卷曲本构模型来分析基质的超弹性和各向异性。根据参数的特定物理含义,比较了两个优先取向的胶原纤维家族的有效弹性模量和沿所有三个方向的非胶原基质的刚度。在优先原纤维取向的角膜前中央基质的超弹性特性中发现了各向异性行为。非胶原基质的刚度在光轴方向上明显大于在鼻-颞(NT)和上下(SI)方向上。此外,男性和女性之间的个体差异对超弹性和各向异性行为有轻微影响。在左眼和右眼的比较中,这些行为的差异显着。这些结果对于根据患者病情准确设计屈光手术方案具有指导意义,对进一步探索整个角膜的生物力学特性具有推动价值。
    To study the hyperelastic and anisotropic behaviors of the central anterior stroma for patients with myopia, 40 corneal stromal specimens extracted after small incision lenticule extraction (SMILE) surgery were used in the biaxial extension test along two preferential fibril orientations. An improved collagen fibril crimping constitutive model with a specific physical meaning was proposed to analyze the hyperelasticity and anisotropy of the stroma. The effective elastic modulus of the two families of preferentially oriented collagen fibrils and the stiffness of the non-collagenous matrix along all three directions were compared according to the specific physical meaning of the parameters. Anisotropic behavior was found in the hyperelastic properties of the corneal anterior central stroma in the preferential fibril orientations. The stiffness of non-collagenous matrix is significantly larger in the optical axis direction than in the nasal-temporal (NT) and superior-inferior (SI) directions. Moreover, individual differences between males and females slightly impact on hyperelastic and anisotropic behaviors. The differences of these behaviors were significant in the comparison of the left and right eyes. These results have a guiding significance for the accurate design of surgical plans for refractive surgery according to a patient\'s condition and have a driving value for the further exploration of the biomechanical properties of the whole cornea.
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