The Difference between Traditional Magnetic Stimulation and Microcoil Stimulation: Threshold and the Electric Field Gradient

Q1 Mathematics Applied Sciences Pub Date : 2024-09-17 DOI:10.3390/app14188349
Mohammed Alzahrani, Bradley J. Roth
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Abstract

This paper considers the threshold value of the activating function needed for stimulation in traditional magnetic stimulation and microcoil stimulation. Two analyses of excitation have been studied: spatial frequency analysis and active membrane analysis using the Hodgkin−Huxley model. The activating function depends on the spatial distribution of the electric field gradient in the active membrane analysis and the spatial frequency in the spatial frequency analysis. Both analyses show that a microcoil (tens of microns in size) has a higher threshold than a traditional coil (tens of millimeters in size) when the spatial frequency is large or the spatial extent of the activating function is small. Consequently, the stimulation threshold for a microcoil is much higher than that for a conventional coil.
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传统磁刺激与微线圈刺激的区别:阈值和电场梯度
本文探讨了传统磁刺激和微线圈刺激所需的激活函数阈值。研究了两种激励分析:空间频率分析和使用霍奇金-赫胥黎模型的主动膜分析。在主动膜分析中,激活函数取决于电场梯度的空间分布;在空间频率分析中,激活函数取决于空间频率。这两项分析表明,当空间频率较大或激活函数的空间范围较小时,微线圈(几十微米大小)的阈值高于传统线圈(几十毫米大小)。因此,微线圈的刺激阈值远高于传统线圈。
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来源期刊
Applied Sciences
Applied Sciences Mathematics-Applied Mathematics
CiteScore
6.40
自引率
0.00%
发文量
0
审稿时长
11 weeks
期刊介绍: APPS is an international journal. APPS covers a wide spectrum of pure and applied mathematics in science and technology, promoting especially papers presented at Carpato-Balkan meetings. The Editorial Board of APPS takes a very active role in selecting and refereeing papers, ensuring the best quality of contemporary mathematics and its applications. APPS is abstracted in Zentralblatt für Mathematik. The APPS journal uses Double blind peer review.
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