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在分析推导中使用数值近似作为中间步骤:生物力学的一些观察结果。

Using numerical approximation as an intermediate step in analytical derivations: some observations from biomechanics.

作者信息

Taylor Zeike, Miller Karol

机构信息

Intelligent Systems for Medicine Laboratory, School of Mechanical Engineering, The University of Western Australia, 35 Stirling Highway, Crawley/Perth WA 6009, Australia.

出版信息

J Biomech. 2005 Dec;38(12):2497-502. doi: 10.1016/j.jbiomech.2004.10.007. Epub 2004 Dec 2.

DOI:10.1016/j.jbiomech.2004.10.007
PMID:16214499
Abstract

We present four examples to illustrate the use of a type of numerical approximation as an intermediate step in analytical derivation of seemingly complicated biomechanical equations. The method involves examination of curve shapes to elucidate useful underlying trends, which may otherwise be overlooked through consideration of only the equations themselves. Two examples of the method's use are drawn from recently published results in the area of experimental methods in biomechanics of very soft tissues, and two others are taken from our current work on cartilage tissue mechanics. We think that such observations provide a useful means of circumventing complexity issues when deriving models for biomechanical analysis, and further that the method, while simple in concept, could be effective in a range of biomechanics applications.

摘要

我们给出四个例子来说明一种数值近似方法的应用,该方法作为看似复杂的生物力学方程解析推导中的一个中间步骤。该方法涉及对曲线形状的考察,以阐明有用的潜在趋势,否则仅通过考虑方程本身可能会忽略这些趋势。该方法应用的两个例子取自最近发表的关于非常软组织生物力学实验方法领域的结果,另外两个例子则取自我们目前关于软骨组织力学的研究工作。我们认为,这些观察结果为在推导生物力学分析模型时规避复杂性问题提供了一种有用的方法,而且进一步认为,该方法虽然概念简单,但在一系列生物力学应用中可能会很有效。

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