BIOMECHANICAL MODEL CALCULATION OF MUSCLE-CONTRACTION FORCES - A DOUBLE LINEAR-PROGRAMMING METHOD
BIOMECHANICAL MODEL CALCULATION OF MUSCLE-CONTRACTION FORCES - A DOUBLE LINEAR-PROGRAMMING METHOD
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DOI：
10.1016/0021-9290(88)90192-3
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发表时间：
1988-01-01
影响因子：
2.4
通讯作者：
SCHULTZ, AB
中科院分区：
文献类型：
--
作者：
BEAN, JC;CHAFFIN, DB;SCHULTZ, AB
提出了一种在描述肌肉骨骼系统生物力学的模型中使用线性规划来计算肌肉收缩力的新方案。这类模型经常出现在生物力学文献中。在大多数情况下，它们涉及到静态不确定的肌肉收缩力计算，因此使用优化技术进行这些计算。我们提出了一种线性规划优化技术，它用两个序列线性规划来解决一个双目标问题。我们在这里使用这项技术来最小化肌肉强度和关节压缩力，因为这些都是常用的目标。双线性规划模型具有计算量小、易于在微型计算机上实现、解稳定等优点。我们展示了如何在简单情况下解析地求解该模型。我们还讨论了如何利用线性规划的对偶问题来理解它所提供的解。
This paper presents a novel scheme for the use of linear programming to calculate muscle contraction forces in models describing musculoskeletal system biomechanics. Models of this kind are frequently found in the biomechanics literature. In most cases they involve muscle contraction force calculations that are statically indeterminate, and hence use optimization techniques to make those calculations. We present a linear programming optimization technique that solves a two-objective problem with two sequential linear programs. We use the technique here to minimize muscle intensity and joint compression force, since those are commonly used objectives. The two linear program model has the advantages of low computation cost, ready implementation on a micro-computer, and stable solutions. We show how to solve the model analytically in simple cases. We also discuss the use of the dual problem of linear programming to gain understanding of the solution it provides.