Sylvester Adam D, Kramer Patricia A
The John Hopkins University School of Medicine, Center for Functional Anatomy and Evolution, 1830 E. Monument Street, Baltimore, Maryland.
Department of Anthropology, University of Washington, 314 Denny Hall, Seattle, Washington.
Anat Rec (Hoboken). 2018 Jul;301(7):1189-1202. doi: 10.1002/ar.23796. Epub 2018 Feb 28.
Finite element analysis (FEA) is a powerful tool for evaluating questions of functional morphology, but the application of FEA to extant or extinct creatures is a non-trivial task. Three categories of input data are needed to appropriately implement FEA: geometry, material properties, and boundary conditions. Geometric data are relatively easily obtained from imaging techniques, but often material properties and boundary conditions must be estimated. Here we conduct sensitivity analyses of the effect of the choice of Young's Modulus for elements representing trabecular bone and muscle loading complexity on the proximal femur using a finite element mesh of a modern human femur. We found that finite element meshes that used a Young's Modulus between 500 and 1,500 MPa best matched experimental strains. Loading scenarios that approximated the insertion sites of hip musculature produced strain patterns in the region of the greater trochanter that were different from scenarios that grouped muscle forces to the superior greater trochanter, with changes in strain values of 40% or more for 20% of elements. The femoral head, neck, and proximal shaft were less affected (e.g. approximately 50% of elements changed by 10% or less) by changes in the location of application of muscle forces. From our sensitivity analysis, we recommend the use of a Young's Modulus for the trabecular elements of 1,000 MPa for the proximal femur (range 500-1,500 MPa) and that the muscular loading complexity be dependent on whether or not strains in the greater trochanter are the focus of the analytical question. Anat Rec, 301:1189-1202, 2018. © 2018 Wiley Periodicals, Inc.
有限元分析(FEA)是评估功能形态学问题的强大工具,但将FEA应用于现存或已灭绝生物并非易事。要恰当地实施FEA需要三类输入数据:几何形状、材料属性和边界条件。几何数据相对容易从成像技术中获取,但材料属性和边界条件通常必须进行估算。在此,我们使用现代人类股骨的有限元网格,对代表松质骨的单元的杨氏模量选择以及股骨近端肌肉加载复杂性的影响进行敏感性分析。我们发现,使用500至1500兆帕之间杨氏模量的有限元网格与实验应变最匹配。近似髋部肌肉插入部位的加载方案在大转子区域产生的应变模式与将肌肉力集中于大转子上部的方案不同,20%的单元应变值变化达40%或更多。股骨头、股骨颈和近端骨干受肌肉力施加位置变化的影响较小(例如,约50%的单元变化10%或更小)。通过我们的敏感性分析,我们建议股骨近端松质单元的杨氏模量使用1000兆帕(范围500 - 1500兆帕),并且肌肉加载复杂性应取决于大转子处的应变是否是分析问题的重点。《解剖学记录》,301:1189 - 1202,2018年。© 2018威利期刊公司。