利用非等距力-疲劳模型控制功能性电刺激下肌肉力响应的几何优化技术

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.3934/jgm.2020032

B. Bonnard, J. Rouot

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引用次数: 1

摘要

最近的力-疲劳参数化数学模型，基于V. Hill描述肌肉活动的开创性贡献，允许预测外部电刺激(FES)的肌肉力响应，并为优化FES输入开辟了道路，以最大限度地提高对脉冲序列的力响应，跟踪参考力，同时最小化脉冲序列的疲劳，或遵循参考关节角度轨迹在非等距情况下产生运动。在本文中，我们引入几何框架来分析动力学，我们提出了适合于实验中使用的数字控制和永久控制的庞特里亚金类型的必要最优性条件，并适合于最优采样数据控制框架。这导致了哈密顿微分变分不等式，它可以通过直接优化方案在数值上实现。

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Geometric optimal techniques to control the muscular force response to functional electrical stimulation using a non-isometric force-fatigue model

A recent force-fatigue parameterized mathematical model, based on the seminal contributions of V. Hill to describe muscular activity, allows to predict the muscular force response to external electrical stimulation (FES) and it opens the road to optimize the FES-input to maximize the force response to a pulse train, to track a reference force while minimizing the fatigue for a sequence of pulse trains or to follow a reference joint angle trajectory to produce motion in the non-isometric case. In this article, we introduce the geometric frame to analyze the dynamics and we present Pontryagin types necessary optimality conditions adapted to digital controls, used in the experiments, vs permanent control and which fits in the optimal sampled-data control frame. This leads to Hamiltonian differential variational inequalities, which can be numerically implemented vs direct optimization schemes.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.