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三维运动单位建模:通过概念验证模拟对肌肉收缩和关节力的影响。

Modelling motor units in 3D: influence on muscle contraction and joint force via a proof of concept simulation.

机构信息

Institute of Modelling and Simulation of Biomechanical Systems, University of Stuttgart, Pfaffenwaldring 5a, 70569, Stuttgart, BW, Germany.

Stuttgart Center for Simulation Technology (SC SimTech), University of Stuttgart, Pfaffenwaldring 5a, 70569, Stuttgart, BW, Germany.

出版信息

Biomech Model Mechanobiol. 2023 Apr;22(2):593-610. doi: 10.1007/s10237-022-01666-2. Epub 2022 Dec 27.

Abstract

Functional heterogeneity is a skeletal muscle's ability to generate diverse force vectors through localised motor unit (MU) recruitment. Existing 3D macroscopic continuum-mechanical finite element (FE) muscle models neglect MU anatomy and recruit muscle volume simultaneously, making them unsuitable for studying functional heterogeneity. Here, we develop a method to incorporate MU anatomy and information in 3D models. Virtual fibres in the muscle are grouped into MUs via a novel "virtual innervation" technique, which can control the units' size, shape, position, and overlap. The discrete MU anatomy is then mapped to the FE mesh via statistical averaging, resulting in a volumetric MU distribution. Mesh dependency is investigated using a 2D idealised model and revealed that the amount of MU overlap is inversely proportional to mesh dependency. Simultaneous recruitment of a MU's volume implies that action potentials (AP) propagate instantaneously. A 3D idealised model is used to verify this assumption, revealing that neglecting AP propagation results in a slightly less-steady force, advanced in time by approximately 20 ms, at the tendons. Lastly, the method is applied to a 3D, anatomically realistic model of the masticatory system to demonstrate the functional heterogeneity of masseter muscles in producing bite force. We found that the MU anatomy significantly affected bite force direction compared to bite force magnitude. MU position was much more efficacious in bringing about bite force changes than MU overlap. These results highlight the relevance of MU anatomy to muscle function and joint force, particularly for muscles with complex neuromuscular architecture.

摘要

功能异质性是骨骼肌通过局部运动单位(MU)募集产生不同力向量的能力。现有的 3D 宏观连续体力学有限元(FE)肌肉模型忽略了 MU 的解剖结构并同时募集肌肉体积,因此不适合研究功能异质性。在这里,我们开发了一种在 3D 模型中纳入 MU 解剖结构和信息的方法。肌肉中的虚拟纤维通过一种新颖的“虚拟神经支配”技术被分组为 MU,该技术可以控制单元的大小、形状、位置和重叠度。然后,通过统计平均将离散的 MU 解剖结构映射到 FE 网格上,从而得到 MU 的体积分布。通过 2D 理想化模型研究网格依赖性,并揭示出 MU 重叠的数量与网格依赖性成反比。MU 体积的同时募集意味着动作电位(AP)会瞬间传播。使用 3D 理想化模型验证了这一假设,结果表明忽略 AP 传播会导致力的略微不稳定性,在肌腱处延迟约 20ms。最后,该方法应用于咀嚼系统的 3D 解剖真实模型,以展示咀嚼肌在产生咬合力时的功能异质性。结果发现,与咬合力大小相比,MU 解剖结构显著影响咬合力方向。与 MU 重叠相比,MU 位置在引起咬合力变化方面更为有效。这些结果强调了 MU 解剖结构与肌肉功能和关节力的相关性,特别是对于具有复杂神经肌肉结构的肌肉。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b06/10097764/988cedf94133/10237_2022_1666_Fig1_HTML.jpg

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