模拟电刺激强度随刺激频率的变化

IF 0.2 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC Visnyk NTUU KPI Seriia-Radiotekhnika Radioaparatobuduvannia Pub Date : 2022-06-24 DOI:10.30837/rt.2022.2.209.19
I. Prasol, О.A. Yeroshenko
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引用次数: 2

摘要

研究对象是人体骨骼肌在治疗过程中的电刺激过程。研究的对象是电刺激特性的数学模型,它与肌肉收缩的幅度和刺激效果的频率有关。这项工作的目的是建立一个数学模型,以解析表达式的形式描述肌肉收缩幅度对电刺激频率的依赖。使用的方法:数学建模方法、模型的结构和参数识别方法、逼近方法、参数优化方法、数学分析方法。得到的结果是:提出了一个多项式形式的解析模型,该模型显示了肌肉收缩幅度与刺激频率的关系;选取多项式的阶数,通过参数优化得到模型的系数;建立了模型轨迹,并对模型精度进行了估计;得到了一个方程,并找到了它的可能解,以确定最优的刺激频率值。该结果可用于在一个疗程中选择电刺激的个体效应或在多个疗程中进行外推。科学新颖性:获得了电刺激频率对骨骼肌收缩模式影响的分析描述,这使您可以确定单个肌电刺激的最佳参数。
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Modeling the electrical stimulation intensity dependence on stimulus frequency
The object of research is the process of electrical stimulation of human skeletal muscles during therapeutic therapy. The subject of study is a mathematical model of the electrostimulation characteristic, which relates the amplitude of muscle contraction and the frequency of the stimulating effect. The purpose of the work is to develop a mathematical model in the form of an analytical expression for describing the dependence of the amplitude of muscle contractions on the frequency of electrical stimuli. Methods used: methods of mathematical modeling, methods of structural and parametric identification of models, methods of approximation, methods of parametric optimization, methods of mathematical analysis. The results obtained: an analytical model in the form of a polynomial is proposed, which displays the dependence of the amplitude of muscle contraction on the frequency of stimuli; the degree of the polynomial is chosen and the coefficients of the model are obtained by parametric optimization; a model trajectory is built and the accuracy of modeling is estimated; an equation is obtained and its possible solutions are found to determine the optimal value of the stimulus frequency. The results can be used in the selection of individual effects of electrical stimulation during one session or with extrapolation over a number of sessions. Scientific novelty: an analytical description of the influence of the frequency of electrical stimuli on the mode of contraction of skeletal muscles has been obtained, which allows you to determine the individual optimal parameters of electromyostimulation.
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Visnyk NTUU KPI Seriia-Radiotekhnika Radioaparatobuduvannia
Visnyk NTUU KPI Seriia-Radiotekhnika Radioaparatobuduvannia ENGINEERING, ELECTRICAL & ELECTRONIC-
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