中文摘要：

为得到人眼外肌收缩的本构方程,修正眼球运动系统建模中眼外肌力学特性的描述,基于第一眼位的静态平衡,结合优化方法,并结合相关文献中斜视手术实验数据,用眼外肌的三线模型得到第一眼位神经兴奋水平下人眼外肌收缩的本构方程。用眼外肌的三线模型模拟左眼从鼻侧30°向颞侧20°的水平转动,在此过程中左眼各眼外肌都保持在第一眼位神经兴奋水平,模拟了两条水平直肌被剪断的情况下,左眼被动转动的情况;左眼从鼻侧向颞侧水平被动转动过程中,左眼外直肌的主动力、被动力和总力均呈非线性减小的趋势,内直肌的主动力、被动力和总力均呈非线性增大的趋势;当眼球处于鼻侧20°到颞侧5°的眼位范围内时,剪断两条水平直肌的模拟结果与前人文献中的实验结果吻合较好;当眼球处于鼻侧20°到颞侧5°的眼位范围内时,眼外肌收缩的本构方程有一定的合理性,可用于相应的眼球运动模型。本研究为临床眼科手术中手术量的确定提供个性化的理论依据。

英文摘要：

The purpose was obtaining the contractile constitutive equations of extraocular muscles（EOMs）in order to amend the description of the mechanical properties of EOMs in the modeling of oculomotor system and provide a quantitative prediction to clinical EOM surgery theoretically.Three-string model of EOM and an optimal method were used to obtain the contractile constitutive equations of EOMs in primary position on the basis of the static equilibrium and the previous data from strabismus surgery.The horizontal rotation of left eye was simulated from nasal 30°to temporal 20°by using the three-string model of EOMs,while the EOMs of left eye was kept in primary innervations.And the passively horizontal rotation of left eye,with two horizontal recti detached,was also simulated.The active force,passive force,and the total force of lateral rectus decreased nonlinearly during the simulated eye movement,whereas those of medial rectus increased nonlinearly.When eye rotated from nasal 20°to temporal 5°,the simulation re-sults with two recti detached agreed well with the previous experimental data.When eye rotated from nasal 20°to temporal 5°,the obtained contractile constitutive equations of EOMs were reasonable to a certain degree.And the constitutive equations can be used to establish the corresponding eye movement model,which will provide a personalized theoretical direction to determination of the surgical amount of EOMs in clinical surgery.