Mathematical modelling for keyhole surgery simulations: a biomechanical model for spleen tissue

Mathematical modelling for keyhole surgery simulations: a biomechanical model for spleen tissue
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DOI:
10.1093/imamat/67.1.41
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发表时间:
2002-02-01
影响因子:
1.2
通讯作者:
Cuschieri, A
Cuschieri, A
中科院分区:
数学4区
文献类型:
--
作者:
Davies, PJ;Carter, FJ;Cuschieri, A

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人们对计算机模拟为腹部内窥镜或“锁孔”手术提供优质培训材料的潜力越来越感兴趣。本文描述了对腹部(脾脏)组织力学特性的初步研究。我们展示了如何利用实验力 - 位移数据推导出组织的生物力学模型,将其视为一种具有指数应力 - 应变定律的不可压缩、均匀、各向同性的非线性弹性材料。我们还展示了该模型如何用于预测组织对手术探头的反应。这涉及解决一个复杂的非线性约束边值问题,并且计算结果与实验数据之间有很好的吻合度。
There is growing interest in the potential for computer simulations to provide good training materials for abdominal endoscopic or 'keyhole' surgery. This paper describes a preliminary study of the mechanical properties of abdominal (spleen) tissue. We show how experimental force-displacement data can be used to derive a biomechanical model for the tissue as an incompressible, homogeneous, isotropic nonlinear elastic material with an exponential stress-strain law. We also show how the model can be used to predict the response of the tissue to a surgical probe. This involves solving a complicated nonlinear constrained boundary-value problem, and there is a good fit between the computed solution and experimental data.