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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Neurosci.</journal-id>
<journal-title>Frontiers in Neuroscience</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Neurosci.</abbrev-journal-title>
<issn pub-type="epub">1662-453X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fnins.2023.1077479</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Neuroscience</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Enhanced lower-limb motor imagery by kinesthetic illusion</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Weizhen</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="fn0003" ref-type="author-notes"><sup>&#x2020;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2044545/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Shi</surname>
<given-names>Bin</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="fn0003" ref-type="author-notes"><sup>&#x2020;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1571670/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Dong</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="fn0003" ref-type="author-notes"><sup>&#x2020;</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Jing</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="c001" ref-type="corresp"><sup>&#x002A;</sup></xref>
<xref rid="fn0003" ref-type="author-notes"><sup>&#x2020;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/459843/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Liu</surname>
<given-names>Gang</given-names>
</name>
<xref rid="aff2" ref-type="aff"><sup>2</sup></xref>
<xref rid="c002" ref-type="corresp"><sup>&#x002A;</sup></xref>
<xref rid="fn0003" ref-type="author-notes"><sup>&#x2020;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2066214/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Institute of Robotics and Intelligent Systems, School of Mechanical Engineering, Xi&#x2019;an Jiaotong University</institution>, <addr-line>Xi&#x2019;an</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>Henan Key Laboratory of Brain Science and Brain-Computer Interface Technology, School of Electrical Engineering, Zhengzhou University</institution>, <addr-line>Zhengzhou</addr-line>, <country>China</country></aff>
<author-notes>
<fn id="fn0001" fn-type="edited-by"><p>Edited by: Alyssa A. Brewer, University of California, Irvine, United States</p></fn>
<fn id="fn0002" fn-type="edited-by"><p>Reviewed by: Denis Delisle Rodriguez, Santos Dumont Institute (ISD), Brazil; Keigo Ushiyama, The University of Electro-Communications, Japan</p></fn>
<corresp id="c001">&#x002A;Correspondence: Jing Wang, <email>wangpele@gmail.com</email></corresp>
<corresp id="c002">Gang Liu, <email>gangliu_@zzu.edu.cn</email></corresp>
<fn id="fn0003" fn-type="equal"><p><sup>&#x2020;</sup>These authors have contributed equally to this work and share first authorship</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>20</day>
<month>06</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>17</volume>
<elocation-id>1077479</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>05</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2023 Wang, Shi, Wang, Wang and Liu.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Wang, Shi, Wang, Wang and Liu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Brain-computer interface (BCI) based on lower-limb motor imagery (LMI) enables hemiplegic patients to stand and walk independently. However, LMI ability is usually poor for BCI-illiterate (e.g., some stroke patients), limiting BCI performance. This study proposed a novel LMI-BCI paradigm with kinesthetic illusion(KI) induced by vibratory stimulation on Achilles tendon to enhance LMI ability. Sixteen healthy subjects were recruited to carry out two research contents: (1) To verify the feasibility of induced KI by vibrating Achilles tendon and analyze the EEG features produced by KI, research 1 compared the subjective feeling and brain activity of participants during rest task with and without vibratory stimulation (V-rest, rest). (2) Research 2 compared the LMI-BCI performance with and without KI (KI-LMI, no-LMI) to explore whether KI enhances LMI ability. The analysis methods of both experiments included classification accuracy (V-rest vs. rest, no-LMI vs. rest, KI-LMI vs. rest, KI-LMI vs. V-rest), time-domain features, oral questionnaire, statistic analysis and brain functional connectivity analysis. Research 1 verified that induced KI by vibrating Achilles tendon might be feasible, and provided a theoretical basis for applying KI to LMI-BCI paradigm, evidenced by oral questionnaire (Q1) and the independent effect of vibratory stimulation during rest task. The results of research 2 that KI enhanced mesial cortex activation and induced more intensive EEG features, evidenced by ERD power, topographical distribution, oral questionnaire (Q2 and Q3), and brain functional connectivity map. Additionally, the KI increased the offline accuracy of no-LMI/rest task by 6.88 to 82.19% (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001). The simulated online accuracy was also improved for most subjects (average accuracy for all subjects: 77.23%&#x2009;&#x003E;&#x2009;75.31%, and average F1_score for all subjects: 76.4%&#x2009;&#x003E;&#x2009;74.3%). The LMI-BCI paradigm of this study provides a novel approach to enhance LMI ability and accelerates the practical applications of the LMI-BCI system.</p>
</abstract>
<kwd-group>
<kwd>brain-computer interface</kwd>
<kwd>lower-limb</kwd>
<kwd>motor imagery</kwd>
<kwd>kinesthetic illusion</kwd>
<kwd>vibratory stimulation</kwd>
<kwd>electroencephalogram</kwd>
</kwd-group>
<counts>
<fig-count count="9"/>
<table-count count="4"/>
<equation-count count="7"/>
<ref-count count="74"/>
<page-count count="15"/>
<word-count count="10370"/>
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<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Perception Science</meta-value>
</custom-meta>
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</front>
<body>
<sec id="sec1" sec-type="intro">
<label>1.</label>
<title>Introduction</title>
<p>Stroke disables or kills several million people each year (<xref ref-type="bibr" rid="ref5">Beal, 2010</xref>; <xref ref-type="bibr" rid="ref26">Katan and Luft, 2018</xref>). The disability, especially the lower limb hemiplegia, highly impacts the lives of individuals (<xref ref-type="bibr" rid="ref49">Rea et al., 2014</xref>; <xref ref-type="bibr" rid="ref26">Katan and Luft, 2018</xref>). Rehabilitation therapy is vital for helping the survivor regain as much use of his/her lower limbs as possible. Traditional therapy acts on the distal physical level to indirectly influence the brain&#x2019;s neural system, such as physical therapy and occupational therapy (<xref ref-type="bibr" rid="ref6">Belda-Lois et al., 2011</xref>). However, these indirect therapies usually have poor efficiency. BCI directly detects and modulates brain activity (<xref ref-type="bibr" rid="ref1">Abiri et al., 2019</xref>; <xref ref-type="bibr" rid="ref55">Saha et al., 2021</xref>). There are two main BCI strategies to improve the lives of individuals among stroke patients, i.e., assistive BCI and rehabilitative BCI (<xref ref-type="bibr" rid="ref34">Mane et al., 2020</xref>). In the last decade, rehabilitative BCI has emerged as one of the promising tools for lower-limb motor function restoration by adjusting neuronal plasticity in affected neural circuits (<xref ref-type="bibr" rid="ref34">Mane et al., 2020</xref>; <xref ref-type="bibr" rid="ref53">Romero-Laiseca et al., 2020</xref>; <xref ref-type="bibr" rid="ref7">Bobrova et al., 2021</xref>). In the field of BCI, a lower limb exoskeleton control system based on steady state visual evoked potentials (SSVEP) is an efficient BCI system, such as achieved accuracies of 91.3&#x2009;&#x00B1;&#x2009;5.73% and an information transfer rate (ITR) of 32.9&#x2009;&#x00B1;&#x2009;9.13 bits/min (<xref ref-type="bibr" rid="ref29">Kwak et al., 2015</xref>). However, recent study reviewed that the flickers used to encode the BCI command must be sufficiently intense to obtain a high-quality SSVEP, which will engage a relatively large portion of the visual resources. Moreover, such irritating visual stimuli are not only irrelevant to users&#x2019; subjective intent, but even disrupt users and make them feel uncomfortable. Therefore, even though this BCI system can work well to assist subjects with walking, its unnatural way of interaction is unacceptable to some users, which reduces its usefulness in practice (<xref ref-type="bibr" rid="ref69">Xu et al., 2021</xref>).</p>
<p>LMI-BCI is a rehabilitative BCI and is natural. It detects the decrease/increase of power in the sensorimotor cortex to control external equipment and then reversely modulates brain activity by external equipment (<xref ref-type="bibr" rid="ref46">Pfurtscheller and da Silva, 1999</xref>; <xref ref-type="bibr" rid="ref1">Abiri et al., 2019</xref>; <xref ref-type="bibr" rid="ref74">Zhang et al., 2021</xref>). Two types of MI can be distinguished: Kinesthetic Motor Imageries (KMI) and Visual Motor Imageries (VMI). A KMI can be described as the ability to imagine performing a movement without executing it, by imagining haptic sensations felt during the real movement (i.e., tactile, proprioceptive, and kinesthetic). In comparison, VMI represents a visualization of the corresponding movement incorporating the visual network (<xref ref-type="bibr" rid="ref51">Rimbert et al., 2018</xref>; <xref ref-type="bibr" rid="ref70">Yang et al., 2021</xref>). Nevertheless, there are three challenges for MI-BCI system: (1) EEG features is unstable in general; (2) It is difficult to detect lower-limb EEG features because the anatomical location of the lower-limb motor cortical area deep within the contralateral mesial cortex (<xref ref-type="bibr" rid="ref42">Neuper and Pfurtscheller, 1996</xref>; <xref ref-type="bibr" rid="ref47">Pfurtscheller et al., 1997</xref>; <xref ref-type="bibr" rid="ref46">Pfurtscheller and da Silva, 1999</xref>; <xref ref-type="bibr" rid="ref8">Boord et al., 2010</xref>); (3) Brain injury often inhibits the LMI ability after stroke, making the detection of EEG features harder (<xref ref-type="bibr" rid="ref61">Takeda et al., 2007</xref>; <xref ref-type="bibr" rid="ref36">Meyer et al., 2016</xref>; <xref ref-type="bibr" rid="ref44">Park et al., 2016</xref>).To address the above challenges, several studies focused on enhancing LMI ability by Mirror Neuron system (MNS). MNS can transform visual sensory input of related behavior (e.g., Action Observation, AO) into one&#x2019;s own brain impulse or motor output of behavior (<xref ref-type="bibr" rid="ref28">Kohler et al., 2002</xref>; <xref ref-type="bibr" rid="ref52">Rizzolatti and Sinigaglia, 2016</xref>; <xref ref-type="bibr" rid="ref62">Tanaka, 2021</xref>). <xref ref-type="bibr" rid="ref30">Li et al. (2015)</xref> enhanced LMI ability in an imagining playing football task by Action Observation and demonstrated more distinctive features in LMI with AO than without. As a kind of action observation, virtual reality (VR) plays an essential role in enhancing neural activity during motor imagery. These studies suggest that the use of immersive virtual reality headsets, with the illusion and embodiment they provide, can effectively improve motor imagery training and BCI performance (<xref ref-type="bibr" rid="ref11">Choi et al., 2020</xref>; <xref ref-type="bibr" rid="ref17">Ferrero et al., 2021</xref>). In the field of lower-limb rehabilitation, standing and sitting are two regular movements. The experimental results of Triana-Guzman et al. indicated that the classification of motor imagery and idle state provided a mean accuracy of 88.51&#x2009;&#x00B1;&#x2009;1.43% and 85.29&#x2009;&#x00B1;&#x2009;1.83% for the sit-to-stand and stand-to-sit transitions, respectively (<xref ref-type="bibr" rid="ref66">Triana-Guzman et al., 2022</xref>). Additionally, <xref ref-type="bibr" rid="ref10">Chaisaen et al. (2020)</xref> classified the AO/MI of sit-to-stand/stand-to-sit task, and the highest mean accuracy is 82.73&#x2009;&#x00B1;&#x2009;2.54%.</p>
<p>In 2021, a latest study revealed that mimicking known biological control principles results in BCI performance that is closer to healthy human abilities (<xref ref-type="bibr" rid="ref18">Flesher et al., 2021</xref>). Brain-muscle-kinesthesis loop is the known biological control principle (<xref ref-type="bibr" rid="ref12">Daly and Wolpaw, 2008</xref>). Hemiplegia inhibits kinesthesis after stroke(<xref ref-type="bibr" rid="ref14">De Vries and Mulder, 2007</xref>; <xref ref-type="bibr" rid="ref34">Mane et al., 2020</xref>). kinesthetic illusion will complement the relevant loop. Neuroimaging studies have revealed that a relationship exists between the movement that has been imagined and the activation patterns of somatotopically organized motor and kinesthetic areas (<xref ref-type="bibr" rid="ref19">Giannopulu and Mizutani, 2021</xref>). In the upper-limb MI-BCI study, KI induced by rubber hand can significantly amplify EEG features and provide better guidance to enhance upper-limb MI (<xref ref-type="bibr" rid="ref59">Song and Kim, 2019</xref>). No previous study has investigated enhancing LMI-BCI performance by KI, although KI has important effects on BCI. This paper proposed an enhanced LMI paradigm by KI. Specifically, earlier studies proved that kinesthetic illusion where one feels muscle stretch could be induced by artificially vibrating the muscle spindle and tendon (<xref ref-type="bibr" rid="ref20">Goodwin et al., 1972</xref>; <xref ref-type="bibr" rid="ref39">Naito and Ehrsson, 2001</xref>; <xref ref-type="bibr" rid="ref38">Naito, 2004</xref>; <xref ref-type="bibr" rid="ref63">Tapin et al., 2021</xref>). Therefore, we induced KI by vibratory stimulation on Achilles tendon to enhance LMI ability during imagining kicking a football. We designed both research contents. The first research verified the feasibility of induced KI by vibratory stimulation and compared the brain activity during V-rest and rest task. The second research explored the effect of KI on LMI by comparing the LMI with and without KI (KI-LMI vs. no-LMI).</p>
<p>The rest of this paper is organized as follows. The experimental description and analysis methods are introduced in Section 2. Then, results are illustrated in Section 3 in terms of EEG analysis and BCI performance. Finally, discussion and conclusion are presented in Sections 4 and 5, respectively.</p>
</sec>
<sec id="sec2" sec-type="materials|methods">
<label>2.</label>
<title>Materials and methods</title>
<sec id="sec3">
<label>2.1.</label>
<title>Participants</title>
<p>Sixteen healthy subjects without a history of any neurological diseases (Subject H1-H16, all right-handed, age: 25&#x2009;&#x00B1;&#x2009;2.98&#x2009;years) participated in this study. Participants were asked to sleep normally and refrain from alcohol, caffeine and stimulant foods for 24&#x2009;h before the experiment. All subjects were informed about the experimental process and required to sign an approved informed consent form before participating. This study was approved by the Ethics Committee of Xi&#x2019;an Jiaotong University (Approval No. 2021&#x2013;1,577).</p>
</sec>
<sec id="sec4">
<label>2.2.</label>
<title>Required equipment</title>
<p>Previous researches have revealed that activated cortex area (i.e., contralateral primary motor cortex) by KI was similar to the activated cortex area by MI (<xref ref-type="bibr" rid="ref38">Naito, 2004</xref>; <xref ref-type="bibr" rid="ref32">Lopez et al., 2017</xref>; <xref ref-type="bibr" rid="ref19">Giannopulu and Mizutani, 2021</xref>). Therefore, EEG signal was recorded using 16-channel active electrodes placed over the sensorimotor cortex (Detailed locations are illustrated in <xref rid="fig1" ref-type="fig">Figure 1E</xref>), with the g.USBamp (g.tec Inc., Austria) system (See <xref rid="fig1" ref-type="fig">Figure 1D</xref> for the composition structure) according to the 10&#x2013;10 electrode location system (<xref ref-type="bibr" rid="ref25">Jurcak et al., 2007</xref>). The reference electrode and the ground electrode were placed on A1 and A2, with the sampling rate of 1,200&#x2009;Hz. To reduce artifacts and power line interference, impedances for all electrodes were kept below 5 K&#x03A9;. Meanwhile, an online band-pass filter between 0 and 60&#x2009;Hz and a notch filter between 48 and 52&#x2009;Hz were applied on the raw EEG. During the task, subjects were sat in a comfortable chair with feet resting on the floor in front of the monitor as shown in <xref rid="fig1" ref-type="fig">Figure 1A</xref>.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>The experimental framework of enhanced LMI by KI. <bold>(A)</bold> Experiment condition, i.e., subjects were seated in a comfortable chair with feet resting on the floor in front of the monitor. <bold>(B)</bold> A inducing Illusion device. Kinesthetic illusion was induced by artificially vibrating the Achilles tendon. <bold>(C)</bold> Visually induced interative interface. <bold>(D)</bold> EEG acquisition equipment. <bold>(E)</bold> Detailed channel locations are placed in the sensorimotor cortex (i.e., blue marked area).</p>
</caption>
<graphic xlink:href="fnins-17-1077479-g001.tif"/>
</fig>
<p>In terms of visual induction, the Psychtoolbox-3 toolbox is utilized to design a visual induction interface (i.e., <xref rid="fig1" ref-type="fig">Figure 1C</xref>). In the aspect of inducing illusion device, the microcontroller (STM32F4) sends Pulse Width Modulation (PWM) regulation signals to a vibration regulation module, and then the eccentric vibrator (RswTech-motor-0827) generates specified frequency. Detailed structure is shown in <xref rid="fig1" ref-type="fig">Figure 1B</xref>. The vibration stimulation device in this study has a vibration frequency of 180&#x2009;Hz under rated voltage. Additionally, Pacinian corpuscles in the mechanical receptor of human skin are sensitive to above 100&#x2009;Hz frequency (<xref ref-type="bibr" rid="ref9">Breitwieser et al., 2012</xref>). Therefore, a vibration frequency of 180&#x2009;Hz was selected for experimental investigation in this study.</p>
</sec>
<sec id="sec5">
<label>2.3.</label>
<title>Data acquisition</title>
<p>Before the experiment, subjects were told to perform the LMI task of right limb. In addition, A inducing Illusion device was placed at the right Achilles tendon to induce kinesthetic illusion in right limb (see <xref rid="fig1" ref-type="fig">Figure 1A</xref>). Before the EEG acquisition, each participant needs to undergo 5&#x2009;min training session by motor execution to become familiar with the experimental task. In this study, the pre-training method was used to make the subjects better actively to complete the LMI task. During the data acquisition, all subjects were required to avoid actual movements for collecting high-quality EEG data. All trials for participants were completed in 1&#x2009;day to reduce the EEG variability in different time periods. This study collected EEG data under four different conditions. Detailed paradigms flow is described in <xref rid="fig2" ref-type="fig">Figure 2</xref>: At the beginning (<italic>t</italic>&#x2009;=&#x2009;&#x2212;3 - -1&#x2009;s) of each trial, a white cross was displayed on the center of the screen to remind subjects to stay focused. Subsequently, a text cue (rest, V-rest, no-LMI, or KI-LMI) appeared for 1&#x2009;s. When &#x2018;V-rest or rest&#x2019; is observed, only the black background was shown to the subject who was executing rest task with or without vibratory stimulation synchronously (i.e., <italic>t</italic>&#x2009;=&#x2009;0&#x2013;3.5&#x2009;s). When &#x2018;KI- LMI or no-LMI&#x2019; is observed, the designed visual guidance of kicking a football was shown to the subject who was executing LMI task with or without vibratory stimulation synchronously (i.e., t&#x2009;=&#x2009;0&#x2013;3.5&#x2009;s). There was a 4&#x2009;s relaxation at the end of each trial. According to the random text cue, each subject randomly implemented the rest/LMI task (see <xref rid="fig2" ref-type="fig">Figure 2</xref>) in order to exclude the effect of task order on the results. In order to reduce the fatigue of the subjects, this study take a 3&#x2009;min break after each run. Each subject performed a total of 12 runs, and each run consisted of 8 trials for rest task and 8 trials for LMI task. Thus, a total of 192 trials (i.e., 8&#x2009;&#x00D7;&#x2009;2&#x2009;&#x00D7;&#x2009;12&#x2009;=&#x2009;192) were performed by each subject.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Overview of the different task paradigms. The process included four different tasks, i.e., rest, V-rest, noLMI or KI-LMI.</p>
</caption>
<graphic xlink:href="fnins-17-1077479-g002.tif"/>
</fig>
</sec>
<sec id="sec6">
<label>2.4.</label>
<title>Research contents architecture</title>
<p>These collected data was applied to explore two research contents:</p>
<p>Research 1: This research aims to verify the feasibility of induced KI by vibrating Achilles tendon and analyze the EEG features produced by KI. Its process is as follows: (1) Oral questionnaire (Question1: Do you feel your feet moving during V-rest?) (2) The topographical distribution of rest and V-rest were compared to explore the independent effect of KI on cerebral cortex. (3) The EEG data of rest and V-rest were classified to quantify the independent effect of KI on rest task.</p>
<p>Research 2: This research aims to explore whether KI enhances LMI. Its process is as follows: (1) Topographical distribution, brain functional connectivity map and the ERD of Cz electrode (Cz-ERD) were analyzed during no-LMI and KI-LMI task. (2) The EEG data of rest and no-LMI/KI-LMI task were classified to explore the effect of KI on enhancing LMI. (3) Oral questionnaire (Question 2: Is KI conducive to focusing on LMI? Question 3: Which LMI do you prefer?) (4) Statistical test of C3/C4-ERD power explored whether KI conducive to distinguishing between left and right LMI.</p>
</sec>
<sec id="sec7">
<label>2.5.</label>
<title>Data analysis methods</title>
<sec id="sec8">
<label>2.5.1.</label>
<title>Event related desynchronization analysis</title>
<p>This study selected 1&#x2009;s EEG data as the baseline from the cross period (i.e., <inline-formula>
<mml:math id="M1">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">base</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> = &#x2212;2.5&#x2009;~&#x2009;&#x2212;1.5&#x2009;s, see <xref rid="fig2" ref-type="fig">Figure 2</xref>), since the subjects were in the most relaxed state (i.e., the signal was the most stable) during <inline-formula>
<mml:math id="M2">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">base</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. Additionally, it selected 3&#x2009;s EEG data as the task segment from the task period (i.e., <inline-formula>
<mml:math id="M3">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">task</mml:mi>
</mml:mrow>
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</mml:math>
</inline-formula> = 0.5&#x2009;~&#x2009;3.5&#x2009;s), since severe artifacts were found within 0&#x2009;~&#x2009;0.5&#x2009;s. And, EEG data of the task period was used for preprocessing, feature extraction, and task classification. In order to enhance the quality of EEG data, all trials were visually inspected to remove data with more artifacts. The following exclusion criteria were applied to identify and discard noisy trials: (1) Maximum peak-to-peak value greater than 200&#x2009;&#x03BC;V; (2) the subject is blinking, the electrodes are not making good contact with the scalp, or there are some muscle artifacts (<xref ref-type="bibr" rid="ref15">Delijorge et al., 2020</xref>; <xref ref-type="bibr" rid="ref66">Triana-Guzman et al., 2022</xref>). Finally, any epoch where at least one electrode met these criteria was visually inspected to rule out noise-contaminated trials and labeled as an &#x201C;artifact&#x201D; manually.</p>
<p>Fourty trails of each task were randomly selected from the remaining data for each subjects. Event Related Desynchronization (ERD) is caused the decrease of EEG frequency power in alpha (8-13&#x2009;Hz) and beta (14-30&#x2009;Hz) bands on the motor area related to the body parts by preparing movement. In contrast, Event Related Synchronization (ERS) is caused the increase of EEG frequency power in a similar way and bands (<xref ref-type="bibr" rid="ref33">Machida and Tanaka, 2018</xref>). ERD power is one of the most common time-domain analysis methods for studying cerebral cortex activity during motor imagery. Therefore, we calculated the instantaneous power within a 0.25&#x2009;s moving time window to describe the ERD change in the time domain (<xref ref-type="bibr" rid="ref48">Phon-Amnuaisuk, 2008</xref>; <xref ref-type="bibr" rid="ref41">Nakayashiki et al., 2014</xref>). In previous study (<xref ref-type="bibr" rid="ref46">Pfurtscheller and da Silva, 1999</xref>; <xref ref-type="bibr" rid="ref21">Graimann et al., 2002</xref>; <xref ref-type="bibr" rid="ref24">Hashimoto and Ushiba, 2013</xref>), the classical method to compute the time course of ERD includes the following steps: (1) bandpass filtering of all event-related trials; (2) squaring of the amplitude samples to obtain power samples; (3) averaging of power samples across all trials; (4) averaging over time samples to smooth the data and reduce the variability. Similarly, the method is illustrated by equations (1&#x2013;4) and applied to our research.</p>
<disp-formula id="E1">
<label>(1)</label>
<mml:math id="M4">
<mml:mrow>
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</mml:msub>
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</mml:math>
</disp-formula>
<disp-formula id="E2">
<label>(2)</label>
<mml:math id="M5">
<mml:mrow>
<mml:mtable equalrows="true" equalcolumns="true">
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<mml:msub>
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</mml:mrow>
</mml:msub>
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<mml:mrow>
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</mml:mrow>
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</mml:mfrac>
<mml:munder>
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</mml:munder>
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<mml:mi mathvariant="normal">t</mml:mi>
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</mml:math>
</disp-formula>
<disp-formula id="E3">
<label>(3)</label>
<mml:math id="M6">
<mml:mrow>
<mml:mtable equalrows="true" equalcolumns="true">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">ERD</mml:mi>
<mml:mfenced>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mfenced>
<mml:mo>=</mml:mo>
<mml:mfrac>
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<mml:mi mathvariant="normal">t</mml:mi>
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<mml:mi mathvariant="normal">P</mml:mi>
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<mml:mo>&#x00D7;</mml:mo>
<mml:mn>100</mml:mn>
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</mml:mtr>
</mml:mtable>
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</mml:math>
</disp-formula>
<disp-formula id="E4">
<label>(4)</label>
<mml:math id="M7">
<mml:mrow>
<mml:mtable equalrows="true" equalcolumns="true">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mspace width="thickmathspace"/>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="normal">ERD</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
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<mml:mrow>
<mml:mi mathvariant="normal">task</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
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<mml:mi mathvariant="normal">P</mml:mi>
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<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
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<mml:mi mathvariant="normal">base</mml:mi>
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</mml:mrow>
</mml:mfrac>
<mml:mo>&#x00D7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:mtd>
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</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where,<inline-formula>
<mml:math id="M8">
<mml:mrow>
<mml:mspace width="thickmathspace"/>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the instantaneous EEG power; <inline-formula>
<mml:math id="M9">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">base</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math id="M10">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">task</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represent the average power during the period of <inline-formula>
<mml:math id="M11">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">base</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math id="M12">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">task</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, respectively; <inline-formula>
<mml:math id="M13">
<mml:mrow>
<mml:mi mathvariant="normal">ERD</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> represents instantaneous ERD; <inline-formula>
<mml:math id="M14">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="normal">ERD</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> represents the average ERD of the task segment. Optimal time period of motor imagery were different due to the variability among subjects or trials. Furthermore, the <inline-formula>
<mml:math id="M15">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="normal">ERD</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> of each channel was used to draw topographical distribution and execute statistical test.</p>
</sec>
<sec id="sec9">
<label>2.5.2.</label>
<title>Functional connectivity analysis</title>
<p>To compare the patterns of two LMI tasks, we analyzed brain connectivity using the imaginary part of coherence (iCOH) algorithm. This algorithm is insensitive to artefactual caused by volume conduction, because a signal is not time-lagged to itself and thus manages to identify the synchronizations of two signals that are time-lagged (<xref ref-type="bibr" rid="ref43">Nolte et al., 2004</xref>; <xref ref-type="bibr" rid="ref45">Pezoulas et al., 2018</xref>). It is defined as:</p>
<disp-formula id="E5">
<label>(5)</label>
<mml:math id="M16">
<mml:mrow>
<mml:mtable equalrows="true" equalcolumns="true">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">iCOH</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="normal">imagin</mml:mi>
<mml:mfenced>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfenced>
<mml:mi mathvariant="normal">f</mml:mi>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where<inline-formula>
<mml:math id="M17">
<mml:mrow>
<mml:mspace width="thickmathspace"/>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is the coherence of signals <italic>x</italic>, <italic>y</italic>, at <italic>f</italic>. Coherence is defined as the absolute value of coherency. The latter measures the linear relationship of the two signals at <italic>f</italic>. In fact, coherence acts as a generalization of correlation to the frequency domain with its values varying on the interval [0, 1], where 1 indicates a perfect linear prediction of <italic>y</italic> from <italic>x</italic>.</p>
<p>In this study, the region of interest (ROIs) consists of 16 channels (Detailed channel locations are shown in <xref rid="fig1" ref-type="fig">Figure 1E</xref>). And, our study used iCOH algorithm between the signals at the paired cortical ROIs, and plotted the brain functional connectivity map (see <xref rid="fig3" ref-type="fig">Figure 3</xref>).</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>The brain functional connectivity map was grand averaged across subjects for the two conditions with the alpha <bold>(A)</bold> and beta <bold>(B)</bold> frequency bands separately.</p>
</caption>
<graphic xlink:href="fnins-17-1077479-g003.tif"/>
</fig>
</sec>
<sec id="sec10">
<label>2.5.3.</label>
<title>Feature extraction and classification algorithm</title>
<p>Common Spatial Patterns (CSP) is the well-known feature extraction method for analyzing EEG signals. However, its classification result lies on a certain frequency range. In fact, the optimal frequency band of motor imagery is different among subjects (<xref ref-type="bibr" rid="ref30">Li et al., 2015</xref>; <xref ref-type="bibr" rid="ref31">Liu et al., 2019</xref>; <xref ref-type="bibr" rid="ref56">Shu et al., 2019</xref>). In recent years, an improved feature extraction algorithm called Filter Bank Common Spatial Pattern (FBCSP) has been applied to solve this deficiency. This method includes three stages (see <xref rid="fig4" ref-type="fig">Figure 4</xref>): Firstly, the target data is divided into different frequency bands by a band-pass filter. Secondly, the CSP algorithm is used to extract features of all sub-band data automatically. Lastly, the optimal feature selection is performed based on mutual information theory (<xref ref-type="bibr" rid="ref3">Ang et al., 2008</xref>, <xref ref-type="bibr" rid="ref2">2012</xref>). In this paper, we divided 7-32HZ frequency band into six sub-bands (i.e., 7&#x2013;12, 12&#x2013;16, 16&#x2013;20, 20&#x2013;24, 24&#x2013;28, and 28-32&#x2009;Hz). Finally, eight optimal target feature vectors are selected to achieve a better classification performance and reduce the information redundancy.</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>The Offline analysis process. This process includes the preprocessing, sub-band filter feature extraction (i.e., CSP), feature selection and classification.</p>
</caption>
<graphic xlink:href="fnins-17-1077479-g004.tif"/>
</fig>
<p>Support Vector Machine (SVM) with Gaussian kernel is suitable for classing the 2-class small samples of LMI (<xref ref-type="bibr" rid="ref72">Yuan and Wang, 2008</xref>; <xref ref-type="bibr" rid="ref58">Somadder and Saha, 2021</xref>). The Python platform is utilized to build a suitable SVM model. The optimal parameters have a vital influence on classification performance. Thus, a cross-validation method is used to optimize the parameter C in the cost function and the parameter &#x03B3; in the radial basis function.</p>
</sec>
</sec>
<sec id="sec11">
<label>2.6.</label>
<title>Evaluation</title>
<p>This study used accuracy (Acc) and F1_score to evaluate classification performance and stability of the classification model. The process of how to calculate Acc and F1_score is as follows (<xref ref-type="bibr" rid="ref50">Ren et al., 2020</xref>):</p>
<disp-formula id="E6">
<label>(6)</label>
<mml:math id="M18">
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">Acc</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">TP</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">TN</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">TP</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">TN</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">FP</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">FN</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="E7">
<label>(7)</label>
<mml:math id="M19">
<mml:mrow>
<mml:mtable equalrows="true" equalcolumns="true">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">F</mml:mi>
<mml:mn>1</mml:mn>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="normal">score</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>2.</mml:mn>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">TP</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">TP</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">FP</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>.</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">TP</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">TP</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">FN</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">TP</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">TP</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">FP</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>+</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">TP</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">TP</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">FN</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where, TP, TN, FN, and FP represent the relationship between the true-value and predicted-value (see <xref rid="tab1" ref-type="table">Table 1</xref>).</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>The confusion matrix of true-value and predicted-value.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" colspan="2" rowspan="2">Confusion matrix</th>
<th align="center" valign="top" colspan="2">True-value</th>
</tr>
<tr>
<th align="center" valign="top">1</th>
<th align="center" valign="top">0</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="2">Predicted-value</td>
<td align="center" valign="top">1</td>
<td align="center" valign="top">TP</td>
<td align="center" valign="top">FP</td>
</tr>
<tr>
<td align="center" valign="top">0</td>
<td align="center" valign="top">FN</td>
<td align="center" valign="top">TN</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In this study, we constructed four datasets (Dataset 1: Data of 40 rest trials and 40&#x2009;V-rest trials; Dataset 2: Data of 40 rest trials and 40 no-LMI trials; Dataset 3: Data of 40 rest trials and 40 KI-LMI trials; Dataset 4: Data of 40&#x2009;V-rest trials and 40 KI-LMI trials). Each data set is classified into two categories. Five-fold cross-validation is used to calculate the average accuracy.</p>
<p>The normality test results show that the significance level of the normality test is <italic>p</italic>&#x2009;&#x003E;&#x2009;0.05. EEG data fit a normality distribution. Therefore, statistical results of this paper were analyzed by paired T-test and One Sample T-test. These statistical test methods were calculated by using SPSS 24.0 mathematical tool. Subsequently, statistical graphs were drawn by MATLAB 2016 and GraphPad Prism 8.</p>
</sec>
</sec>
<sec id="sec12" sec-type="results">
<label>3.</label>
<title>Results</title>
<sec id="sec13">
<label>3.1.</label>
<title>Research 1: verifying that KI is induced by vibrating Achilles tendon</title>
<p>This research aims to verify the feasibility of inducing KI <italic>via</italic> vibrating Achilles tendon and analyze the EEG features produced by KI.</p>
<sec id="sec14">
<label>3.1.1.</label>
<title>Oral questionnaire (Q1)</title>
<p>After completing all the experimental tasks, each subject was given an oral questionnaire (Q1) to explore the correlation between vibration stimulation and KI. Its results are shown in <xref rid="tab2" ref-type="table">Table 2</xref>. Firstly, we inquired Q1 that do you feel your feet moving slightly during V-rest. Thirteen subjects&#x2019; answer is &#x2018;Yes&#x2019;. Three subject&#x2019;s answer is &#x2018;No&#x2019;. In practice, however, their feet were not moving. Therefore, experiment 1 verified that KI (i.e., feel their feet moving) was felt subjectively by most subjects during vibrating Achilles tendon.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>The results of oral questionnaire.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Question</th>
<th align="left" valign="top">Content</th>
<th align="center" valign="top" colspan="2">Result (number)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="2">Q1</td>
<td align="left" valign="middle" rowspan="2">Do you feel your feet moving slightly during V-rest?</td>
<td align="left" valign="middle">No</td>
<td align="left" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">3</td>
<td align="left" valign="middle">13</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">Q2</td>
<td align="left" valign="middle" rowspan="2">Is KI conducive to focusing on LMI task?</td>
<td align="left" valign="middle">No</td>
<td align="left" valign="middle">Yes</td>
</tr>
<tr>
<td align="left" valign="middle">4</td>
<td align="left" valign="middle">12</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">Q3</td>
<td align="left" valign="middle" rowspan="2">Which LMI paradigm do you prefer?</td>
<td align="left" valign="middle">no-LMI</td>
<td align="left" valign="middle">KI-LMI</td>
</tr>
<tr>
<td align="left" valign="middle">4</td>
<td align="left" valign="middle">12</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec15">
<label>3.1.2.</label>
<title>Topographical distribution of rest and V-rest</title>
<p>The first row of <xref rid="fig5" ref-type="fig">Figure 5</xref> displays the grand-averaged topographical distribution for V-rest task relative to the rest task. In the period of V-rest task, there is a slight ERD phenomenon for Contralateral cerebral cortex (i.e., left hemispheric region) in both the &#x03B2; band and the &#x03B1;&#x2009;+&#x2009;&#x03B2; band, and the area around the Cz and CPz electrode (i.e., around the sensorimotor cortex) is predominantly activated. Therefore, induced KI by vibratory stimulation could not only be felt subjectively by subjects but also reflected in electrophysiological features.</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Grand-averaged topographical distribution for V-rest, no-LMI and KI-LMI task relative to the rest task. The color bar denotes ERD/ERS. The Cz represents the anatomical location of the lower-limb motor cortical area.</p>
</caption>
<graphic xlink:href="fnins-17-1077479-g005.tif"/>
</fig>
</sec>
<sec id="sec16">
<label>3.1.3.</label>
<title>Quantifying the independent effect of KI on rest task</title>
<p>The brain topographic maps of V-rest and rest show differences (see <xref rid="fig5" ref-type="fig">Figure 5</xref>). Our study classified V-rest and rest to quantify the independent effect of KI on rest task. Classification performance of rest and V-rest for all subjects is shown in <xref rid="fig6" ref-type="fig">Figure 6</xref>. Results were statistically evaluated using a one-sample T-test. The lowest and highest accuracy are 65.0 and 86.25%, respectively. The average accuracy of all subjects achieved 74.3%, significantly higher than the random accuracy (50%). Therefore, there were statistically significant EEG features which is generated by KI.</p>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>2-class accuracy of rest and V-rest. The black dashed line represents random (50%) of accuracy that means no difference between V-rest and rest. Data: mean&#x2009;&#x00B1;&#x2009;SD. &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001.</p>
</caption>
<graphic xlink:href="fnins-17-1077479-g006.tif"/>
</fig>
</sec>
</sec>
<sec id="sec17">
<label>3.2.</label>
<title>Research 2: exploring whether KI enhances LMI</title>
<sec id="sec18">
<label>3.2.1.</label>
<title>Topographical distribution and Cz-ERD power of no-LMI and KI-LMI</title>
<p>The second and third rows of <xref rid="fig5" ref-type="fig">Figure 5</xref> displays the grand-averaged topographical distribution for no-LMI and KI-LMI task relative to the rest task. In the period of no-LMI task, the significant activation region mainly occurred around the Cz electrode (i.e., around the sensorimotor cortex) in both the &#x03B1; band and the &#x03B1;&#x2009;+&#x2009;&#x03B2; band. Compared with the no-LMI task, the KI-LMI task can generate more obvious cortex activation at all frequency bands (i.e., significant ERD). And, there is most significant activation for the around Cz and CPz electrodes at all frequency bands. Especially, this activation is more localized to the contralateral side of the cerebral cortex during performing the KI-LMI task.</p>
<p>The Cz-ERD power of LMI under 8-30&#x2009;Hz is analyzed (see <xref rid="fig7" ref-type="fig">Figure 7</xref>), since the above topographical distribution displays a stronger feature around the Cz electrode. The Cz-ERD power of no-LMI shows a significant decreasing trend at the beginning of the task except for Subject H3, H5, H7 and H13(see <xref rid="fig7" ref-type="fig">Figure 7A</xref>). Especially, the ERD power of Subject H3, H7, and H13 shows a slight decreasing trend after adding KI to the LMI task (i.e., KI-LMI). For most subjects, the ERD tendency was more obvious and the lowest ERD power (i.e., E_min) was lower during the KI-LMI task. <xref rid="fig7" ref-type="fig">Figure 7B</xref> displays the average ERD of all subjects. These results manifest that the average ERD tendency is more obvious during the KI-LMI task. On the one hand, the E_min value is significantly smaller during the KI-LMI task than the no-LMI task (<inline-formula>
<mml:math id="M20">
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<mml:mi mathvariant="normal">KI</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x003C; <inline-formula>
<mml:math id="M21">
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mo>_</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>min</mml:mi>
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<mml:mrow>
<mml:mi mathvariant="normal">no</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001, see <xref rid="fig7" ref-type="fig">Figure 7D</xref>). On the other hand, <inline-formula>
<mml:math id="M22">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">KI</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is significantly shorter during the KI-LMI task than the no-LMI task (<inline-formula>
<mml:math id="M23">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mrow>
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</inline-formula> &#x003C; <inline-formula>
<mml:math id="M24">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">no</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.01, see <xref rid="fig7" ref-type="fig">Figure 7C</xref>).</p>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption>
<p>Cz-ERD power during LMI in the 8&#x2013;30&#x2009;Hz band. <bold>(A)</bold> Cz-ERD power of the 16 subjects. The black vertical dashed line indicates the start of LMI. The black horizontal dashed line represents the baseline. The red dashed line represents the lowest ERD power (E_min<sup>i</sup><sub>no</sub>, i&#x2009;=&#x2009;1, 2, 12) during the no-LMI task for each subject i. <bold>(B)</bold> Average ERD of all subjects for no-LMI and KI-LMI tasks. The red/blue triangle represents the lowest ERD power (E_min<sub>no</sub> or E_min<sub>KI</sub>) during the KI-LMI task. The red and blue rectangles indicate the time (T<sup>i</sup><sub>no</sub> and T<sup>i</sup><sub>Kl</sub>) it takes to reach E_min<sup>i</sup><sub>no</sub> for the LMI task. <bold>(C)</bold> and <bold>(D)</bold> Statistical test of E_min<sup>i</sup><sub>no</sub>/E_min<sup>i</sup><sub>Kl</sub> and T<sup>i</sup><sub>no</sub>/T<sup>i</sup><sub>Kl</sub>. E_min<sub>no</sub>, E_min<sub>KI</sub>, T<sub>no</sub> and T<sub>KI</sub> represent the mean value of E_min<sup>i</sup><sub>no</sub>, E_min<sup>i</sup><sub>Kl</sub>, T<sup>i</sup><sub>no</sub> and T<sup>i</sup><sub>Kl</sub> for all subjects, respectively. Data: mean&#x2009;&#x00B1;&#x2009;SD. &#x002A;&#x002A;<italic>p</italic>&#x2009;&#x003C;&#x2009;0.01, &#x002A;&#x002A;&#x002A; p&#x2009;&#x003C;&#x2009;0.001.</p>
</caption>
<graphic xlink:href="fnins-17-1077479-g007.tif"/>
</fig>
<p><xref rid="fig8" ref-type="fig">Figure 8</xref> shows the grand-averaged relative power of Cz electrode for V-rest, no-LMI and KI-LMI task relative to the rest task at &#x03B1; and &#x03B2; bands. The results in the &#x03B1; band included the following (see <xref rid="fig8" ref-type="fig">Figure 8A</xref>): (1) During the V-rest task, there was a slight decrease in relative power over the whole task period; (2) During the no-LMI task, there is a large relative power decline, and the peak value reaches -21&#x2009;dB; (3) Compared with the no-LMI task, KI-LMI task produced a more significant relative power decline, with a peak value of &#x2212;21.5&#x2009;dB. The results in the &#x03B2; band included the following (see <xref rid="fig8" ref-type="fig">Figure 8B</xref>): (1) During the V-rest task, relative power decreased within 0&#x2009;~&#x2009;1&#x2009;s and fluctuated around the baseline within 1&#x2009;~&#x2009;3&#x2009;s; (2) Compared with the &#x03B1; band, the &#x03B2; band produced a similar power decline trend during the LMI, but had a smaller peak value (i.e., no-LMI: &#x2212;1.7&#x2009;dB, KI-LMI: &#x2212;2.1&#x2009;dB).</p>
<fig position="float" id="fig8">
<label>Figure 8</label>
<caption>
<p>Grand-averaged relative power of Cz electrode for V-rest, no-LMI and KI-LMI task relative to the rest task at &#x03B1; band <bold>(A)</bold> and &#x03B2; band <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="fnins-17-1077479-g008.tif"/>
</fig>
</sec>
<sec id="sec19">
<label>3.2.2.</label>
<title>Results of brain functional connectivity analysis for no-LMI/KI-LMI task</title>
<p>The iCOH of functional connectivity patterns was analyzed to plot the functional connectivity map and explore the effect of KI on brain activity. The functional connectivity map (see <xref rid="fig3" ref-type="fig">Figure 3</xref>) was grand-averaged across subjects for the two conditions with the alpha and beta frequency bands separately. In the <xref rid="fig3" ref-type="fig">Figure 3</xref>, The color variation and thickness of the connecting lines indicate the strength of functional connectivity between channels. During the no-LMI task, the channels had weak functional connectivity in the &#x03B1; band and strong functional connectivity in the &#x03B2; band. During KI-LMI, KI enhances the functional connectivity between the channels in both &#x03B1; and &#x03B2; bands. In particular, the contralateral cortical connectivity was enhanced, such as channels FC1, FC3, CP3, C1, C3, C5, Cz, etc. These results indicate that KI can improve the spatial feature distribution of the brain during performing LMI task, enhance the connectivity among cerebral cortical channels, and thus improve the information transmission process between brain regions.</p>
</sec>
<sec id="sec20">
<label>3.2.3.</label>
<title>Classification performance of rest/V-rest and no-LMI/KI-LMI</title>
<p><xref rid="fig9" ref-type="fig">Figure 9</xref> shows the comparison of classification accuracy across subjects for classifying LMI and rest task (i.e., no-LMI vs. rest and KI-LMI vs. rest). The subjects with less than 70% classification accuracy are defined as BCI-illiterate (<xref ref-type="bibr" rid="ref57">Shu et al., 2017</xref>; <xref ref-type="bibr" rid="ref73">Zhang et al., 2021</xref>). As shown in <xref rid="fig9" ref-type="fig">Figure 9</xref>, six healthy subjects (H1, H2, H4, H11, H13 and H15) were BCI-illiterate during the no-LMI task. After adding the KI to the LMI (i.e., KI-LMI), average accuracy of these five subjects increased by 9.17%. In addition, KI generally improves LMI-BCI offline accuracy and F1_score except for subject H3, and the accuracy and F1_score of all subjects were greater than 70%. Especially, four subjects (H6, H8, H10 and H12) reached a higher BCI accuracy (&#x003E; 85%). Classification results were statistically evaluated using a paired t-test method. The offline accuracy was significantly improved for classifying LMI and rest (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001), achieving a 6.88% improvement and reaching 82.19%. And, the results of <xref rid="tab3" ref-type="table">Table 3</xref> indicates that average F1_score value increased by 7.6% after adding KI to LMI task (i.e., KI-LMI task). Seeing <xref rid="tab3" ref-type="table">Table 3</xref> for detailed F1_score of each participant.</p>
<fig position="float" id="fig9">
<label>Figure 9</label>
<caption>
<p>Comparison of classification accuracy across subjects. The black dashed line represents 70% of accuracy. Data: mean&#x2009;&#x00B1;&#x2009;SD. &#x002A; <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05.</p>
</caption>
<graphic xlink:href="fnins-17-1077479-g009.tif"/>
</fig>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Results of the F1_score across subjects.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Task</th>
<th align="center" valign="top" colspan="17">Subject/F1_score (%)</th>
</tr>
<tr>
<th align="center" valign="top">H1</th>
<th align="center" valign="top">H2</th>
<th align="center" valign="top">H3</th>
<th align="center" valign="top">H4</th>
<th align="center" valign="top">H5</th>
<th align="center" valign="top">H6</th>
<th align="center" valign="top">H7</th>
<th align="center" valign="top">H8</th>
<th align="center" valign="top">H9</th>
<th align="center" valign="top">H10</th>
<th align="center" valign="top">H11</th>
<th align="center" valign="top">H12</th>
<th align="center" valign="top">H13</th>
<th align="center" valign="top">H14</th>
<th align="center" valign="top">H15</th>
<th align="center" valign="top">H16</th>
<th align="center" valign="top">Ave</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Class1</td>
<td align="char" valign="middle" char=".">63.9</td>
<td align="char" valign="middle" char=".">66.8</td>
<td align="char" valign="middle" char="."><bold>78.7</bold></td>
<td align="char" valign="middle" char=".">65</td>
<td align="char" valign="middle" char=".">75.0</td>
<td align="char" valign="middle" char=".">80.5</td>
<td align="char" valign="middle" char=".">83.0</td>
<td align="char" valign="middle" char=".">87.7</td>
<td align="char" valign="middle" char=".">70.8</td>
<td align="char" valign="middle" char=".">86.7</td>
<td align="char" valign="middle" char=".">65.1</td>
<td align="char" valign="middle" char=".">80.2</td>
<td align="char" valign="middle" char=".">66.9</td>
<td align="char" valign="middle" char=".">74.1</td>
<td align="char" valign="middle" char=".">64.9</td>
<td align="char" valign="middle" char=".">79.5</td>
<td align="char" valign="middle" char=".">74.3</td>
</tr>
<tr>
<td align="left" valign="middle">Class2</td>
<td align="char" valign="middle" char=".">76</td>
<td align="char" valign="middle" char="."><bold>70.1</bold></td>
<td align="char" valign="middle" char=".">74.9</td>
<td align="char" valign="middle" char="."><bold>76.1</bold></td>
<td align="char" valign="middle" char="."><bold>77.3</bold></td>
<td align="char" valign="middle" char=".">87.9</td>
<td align="char" valign="middle" char="."><bold>84.2</bold></td>
<td align="char" valign="middle" char="."><bold>93.8</bold></td>
<td align="char" valign="middle" char=".">82.1</td>
<td align="char" valign="middle" char="."><bold>92</bold></td>
<td align="char" valign="middle" char="."><bold>80</bold></td>
<td align="char" valign="middle" char="."><bold>94.8</bold></td>
<td align="char" valign="middle" char="."><bold>77.3</bold></td>
<td align="char" valign="middle" char="."><bold>81.7</bold></td>
<td align="char" valign="middle" char="."><bold>78.5</bold></td>
<td align="char" valign="middle" char="."><bold>83.7</bold></td>
<td align="char" valign="bottom" char="."><bold>81.9</bold></td>
</tr>
<tr>
<td align="left" valign="middle">Class3</td>
<td align="char" valign="middle" char="."><bold>81</bold></td>
<td align="char" valign="middle" char=".">65.5</td>
<td align="char" valign="middle" char=".">58.3</td>
<td align="char" valign="middle" char=".">71.1</td>
<td align="char" valign="middle" char=".">69.1</td>
<td align="char" valign="middle" char="."><bold>88.2</bold></td>
<td align="char" valign="middle" char=".">72.3</td>
<td align="char" valign="middle" char=".">92.3</td>
<td align="char" valign="middle" char="."><bold>83.9</bold></td>
<td align="char" valign="middle" char=".">86.1</td>
<td align="char" valign="middle" char=".">69.3</td>
<td align="char" valign="middle" char=".">81.4</td>
<td align="char" valign="middle" char=".">72.9</td>
<td align="char" valign="middle" char=".">79.1</td>
<td align="char" valign="middle" char=".">68.9</td>
<td align="char" valign="middle" char=".">83.5</td>
<td align="char" valign="bottom" char=".">76.4</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Class1 represents the classification of rest and no-LMI; Class2 represents the classification of rest and KI-LMI; Class3 represents the classification of V-rest and KI-LMI; The bold number represents the maximum value for each subject.</p>
</table-wrap-foot>
</table-wrap>
<p>Additionally, <xref rid="fig9" ref-type="fig">Figure 9</xref> and <xref rid="tab3" ref-type="table">Table 3</xref> shows the results of classfing V-rest and KI-LMI. After adding vibration to the LMI and rest task (i.e., KI-LMI and V-rest), the simulated online average classification accuracy and F1_score of most subjects (H1, H4, H6, H8, H9, H11, H12, H13, H14, H15and H16) was improved (average accuracy: 79.84%&#x2009;&#x003E;&#x2009;74.09%, average F1_score: 79.24%&#x2009;&#x003E;&#x2009;72.6%), and there were significant differences in two groups (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05). And, the simulated online average performance for all subjects was presented in <xref rid="fig9" ref-type="fig">Figure 9</xref> and <xref rid="tab3" ref-type="table">Table 3</xref> (i.e., average accuracy: 77.23&#x2009;&#x003E;&#x2009;75.31%, and average F1_score: 76.4&#x2009;&#x003E;&#x2009;74.3%).</p>
</sec>
<sec id="sec21">
<label>3.2.4.</label>
<title>Oral questionnaire (Q2 and Q3)</title>
<p>After completing all the experimental tasks, each subject was given an oral questionnaire (Q2 and Q3) to explore the superiority of this research paradigm. Its results are shown in <xref rid="tab2" ref-type="table">Table 2</xref>. Twelve subjects thought that KI was more conducive to focusing on LMI task. Thus they preferred the KI-LMI paradigm. In contrast, four subjects thought that a slight vibration is not enough to produce KI to enhance their LMI ability. Additionally, one subjects (H3) thought that a strong vibration distracted his attention on LMI.</p>
</sec>
<sec id="sec22">
<label>3.2.5.</label>
<title>Statistical test of C3/Cz/C4-ERD power</title>
<p>The topographical distribution in <xref rid="fig5" ref-type="fig">Figure 5</xref> shows more obvious contralateral cortex activation during right lower-limb MI task. In order to explore the activation effect of KI on different major channels, the paired T-test analyzed the <inline-formula>
<mml:math id="M25">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="normal">ERD</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> power of channels C3, Cz and C4 under the no-LMI/KI-LMI tasks (see <xref rid="tab4" ref-type="table">Table 4</xref>). For the channels C3 and Cz, there are significant differences (<italic>p</italic>&#x2009;=&#x2009;0.006&#x2009;&#x003C;&#x2009;0.01 and <italic>p</italic>&#x2009;=&#x2009;0.007&#x2009;&#x003C;&#x2009;0.01) in &#x03B1; frequency band, and there are significant differences (<italic>p</italic>&#x2009;=&#x2009;0.001 and <italic>p</italic>&#x2009;=&#x2009;0.000&#x2009;&#x003C;&#x2009;0.001) in &#x03B1;&#x2009;+&#x2009;&#x03B2; frequency band. There are significant differences (<italic>p</italic>&#x2009;=&#x2009;0.026&#x2009;&#x003C;&#x2009;0.05) in &#x03B2; frequency band at channel C3. Nevertheless, for the channel C4, all <italic>p</italic>-values are far bigger than 0.05, which indicates there is no significant difference.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Statistical results of the paired <italic>t</italic>-test.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Channel</th>
<th align="center" valign="top" colspan="3"><italic>P</italic>-value of no-LMI vs. KI-LMI</th>
</tr>
<tr>
<th align="center" valign="top">&#x03B1; (8-13&#x2009;Hz)</th>
<th align="center" valign="top">&#x03B2; (14-30&#x2009;Hz)</th>
<th align="center" valign="top">&#x03B1;&#x2009;+&#x2009;&#x03B2; (8-30&#x2009;Hz)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">C3</td>
<td align="char" valign="middle" char=".">0.006&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.026&#x002A;</td>
<td align="char" valign="middle" char=".">0.001&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">Cz</td>
<td align="char" valign="middle" char=".">0.007&#x002A;&#x002A;</td>
<td align="char" valign="middle" char=".">0.094</td>
<td align="char" valign="middle" char=".">0.000&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="middle">C4</td>
<td align="char" valign="middle" char=".">0.866</td>
<td align="char" valign="middle" char=".">0.148</td>
<td align="char" valign="middle" char=".">0.191</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>This table compares the <inline-formula>
<mml:math id="M26">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="normal">ERD</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x00AF;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> power of two tasks in the same condition. Data: mean <inline-formula>
<mml:math id="M27">
<mml:mo>&#x00B1;</mml:mo>
</mml:math>
</inline-formula> SD. &#x002A;<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05, &#x002A;&#x002A;<italic>p</italic>&#x2009;&#x003C;&#x2009;0.01, &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
</sec>
<sec id="sec23" sec-type="discussions">
<label>4.</label>
<title>Discussion</title>
<p>In the previous research, it was well known that brain injury often inhibits the LMI-ability after stroke, making the detection of EEG features harder (<xref ref-type="bibr" rid="ref61">Takeda et al., 2007</xref>; <xref ref-type="bibr" rid="ref36">Meyer et al., 2016</xref>; <xref ref-type="bibr" rid="ref44">Park et al., 2016</xref>). The Higher BCI performance generally accelerates the patients&#x2019; recovery process (<xref ref-type="bibr" rid="ref23">Guan, 2016</xref>). Therefore, enhancing LMI ability of stroke patients is critical to achieve rehabilitation. The latest study revealed that mimicking known biological control principles could improve BCI performance for subjects (<xref ref-type="bibr" rid="ref18">Flesher et al., 2021</xref>). A natural way of interaction is acceptable to users, which increases its usefulness in practice (<xref ref-type="bibr" rid="ref69">Xu et al., 2021</xref>). Previous studies used visual induction consistent with motor tasks to enhance LMI ability (<xref ref-type="bibr" rid="ref8">Boord et al., 2010</xref>, <xref ref-type="bibr" rid="ref27">Kitahara et al., 2017</xref>, <xref ref-type="bibr" rid="ref71">Yu et al., 2018</xref>). Additionally, kinesthetic illusion (KI) is a type of proprioception that can complement the biological control loop. Two studies verified that a combination of upper-limb MI and KI feedback improved MI-BCI performance (<xref ref-type="bibr" rid="ref4">Barsotti et al., 2018</xref>; <xref ref-type="bibr" rid="ref59">Song and Kim, 2019</xref>). However, no previous study has investigated enhancing LMI ability by KI to design LMI-BCI paradigm. Therefore, based on the above researches, we designed two research contents to verify the feasibility of inducing KI <italic>via</italic> vibrating Achilles tendon, analyze the EEG features produced by KI, and explore whether KI could enhance LMI ability.</p>
<p>Long-term research found that KI, where one feels muscle stretch, could be induced by artificially vibrating the muscle spindle and tendon of the limbs (<xref ref-type="bibr" rid="ref38">Naito, 2004</xref>; <xref ref-type="bibr" rid="ref63">Tapin et al., 2021</xref>). Neuroimaging studies have revealed that KI and MI have similar activation patterns in brain regions (<xref ref-type="bibr" rid="ref39">Naito and Ehrsson, 2001</xref>; <xref ref-type="bibr" rid="ref38">Naito, 2004</xref>; <xref ref-type="bibr" rid="ref19">Giannopulu and Mizutani, 2021</xref>). In addition, vibration is better transmitted to the muscle spindle if applied over the tendon, where it results in longitudinal stretch of the muscle fibers (<xref ref-type="bibr" rid="ref65">Taylor et al., 2017</xref>). Vibration stimulation of tendon is an effective way to induce KI (<xref ref-type="bibr" rid="ref4">Barsotti et al., 2018</xref>; <xref ref-type="bibr" rid="ref63">Tapin et al., 2021</xref>). In this study, the most obvious tendon location (i.e., Achilles tendon) was selected as the vibration stimulation point. In medical contexts, using a MI questionnaire as an ability predictor tool could be one possible way to estimate BCI performance (<xref ref-type="bibr" rid="ref67">Vasilyev et al., 2017</xref>; <xref ref-type="bibr" rid="ref51">Rimbert et al., 2018</xref>). In the field of BCI, two classical work studied two different MI questionnaires. The first study concludes that the KMI scores obtained from the Kinesthetic and Visual Imagery Questionnaire could predict the performance of a MI-based BCI for able-bodied subjects (<xref ref-type="bibr" rid="ref68">Vuckovic and Osuagwu, 2013</xref>). The second study found that the representation of subjective behaviors, calculated using the Motor Imagery Questionnaire Revised-Second Edition, and the control of the BCI seem to be strongly linked (<xref ref-type="bibr" rid="ref35">Marchesotti et al., 2016</xref>). These studies have shown that MI questionnaires are probably the most accepted and validated methods to measure the subjective feelings of a subject. Therefore, our study conducted an oral questionnaire for all subjects to explore the results of the experiment. In this study, firstly, an oral questionnaire (Q1) of <xref rid="tab2" ref-type="table">Table 2</xref> verified that KI was felt subjectively by most subjects (13 out of 16 subjects) during vibrating Achilles tendon. Secondly, KI induced by vibratory stimulation enhanced the activation of the area around the Cz and CPz electrodes (i.e., around the sensorimotor cortex) during the V-rest task (see <xref rid="fig5" ref-type="fig">Figure 5</xref>). This result is consistent with previous research that activated cortex area (i.e., contralateral primary motor cortex) by KI was similar to the activated cortex area by MI (<xref ref-type="bibr" rid="ref54">Rosenkranz and Rothwell, 2003</xref>; <xref ref-type="bibr" rid="ref13">De Moraes Silva et al., 2015</xref>; <xref ref-type="bibr" rid="ref32">Lopez et al., 2017</xref>; <xref ref-type="bibr" rid="ref19">Giannopulu and Mizutani, 2021</xref>; <xref ref-type="bibr" rid="ref73">Zhang et al., 2021</xref>). Similarly, a recent study showed that vibrotactile neurofeedback training on upper limbs can increase motor cortical excitability in hand muscle representation corresponding to a muscle engaged by the MI (<xref ref-type="bibr" rid="ref22">Grigorev et al., 2021</xref>). Lastly, the classification performance of rest and V-rest shows a significant difference (see <xref rid="fig6" ref-type="fig">Figure 6</xref>), which suggests that activated the independent effects on the cerebral cortex by KI can be classified clearly. This experimental study verified that induced KI <italic>via</italic> vibrating Achilles tendon may be feasible, and provided a theoretical basis for applying KI to LMI-BCI paradigm. In order to better explore the difference and correlation between LMI and KI, we need to ensure the same duration of LMI and KI, so this study chose the same induction duration as LMI (i.e., 3.5&#x2009;s). The above results verified the effectiveness of KI induction with a duration of 3.5&#x2009;s. However, there are still some defects in this study. 3.5&#x2009;s may not be the best KI induction duration. Future studies will investigate the optimal duration of KI induction.</p>
<p>Both studies demonstrated that a combination of upper-limb MI and KI feedback improved MI-BCI performance (<xref ref-type="bibr" rid="ref4">Barsotti et al., 2018</xref>; <xref ref-type="bibr" rid="ref59">Song and Kim, 2019</xref>). In our study, we used many analytical methods (e.g., ERD power, topographical distribution, oral questionnaire, and functional connectivity analysis) to explore whether KI enhances LMI ability. Previous studies explored functional connectivity of different brain regions based on Granger causality analysis. These studies found that the significant causal connection from the visual area to the motor area under the &#x201C;visual&#x2013;auditory context&#x201D; and the &#x201C;visual context&#x201D; may indicate the information transmission process of the dorsal pathway evoked by the visual stimulus. Therefore, our study used iCOH algorithm to analyze the brain functional connectivity between different channels. The results in <xref rid="fig3" ref-type="fig">Figure 3</xref> indicate that KI can enhance the information transmission process between brain regions (especially the sensorimotor area) during performing the LMI task, thus improving LMI ability. In previous mechanism studies, the anatomical location of the lower limbs motor cortex deep within the central cortex of the interhemispheric fissure, which corresponds to the Cz electrode of the 10/10 standard electrode distribution system (<xref ref-type="bibr" rid="ref42">Neuper and Pfurtscheller, 1996</xref>; <xref ref-type="bibr" rid="ref25">Jurcak et al., 2007</xref>; <xref ref-type="bibr" rid="ref8">Boord et al., 2010</xref>). Therefore, in our study about LMI, the Cz electrode was selected to analyze the ERD trend in the 8&#x2013;30&#x2009;Hz band during LMI tasks. When adding KI to the LMI task (i.e., KI-LMI), the cortex activation around the Cz electrode is more significant (see <xref rid="fig5" ref-type="fig">Figure 5</xref>), and the Cz-ERD tendency was more obvious for most subjects (see <xref rid="fig7" ref-type="fig">Figure 7A</xref>). To evaluate the MI enhancements of the proposed paradigm, we compared the observed ERD for different LMI tasks. The peak ERD amplitudes (i.e., <inline-formula>
<mml:math id="M28">
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mo>_</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">no</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="normal">KI</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) were used to quantitatively evaluate the enhancement due to more immersive LMI from the paradigms (<xref ref-type="bibr" rid="ref59">Song and Kim, 2019</xref>). Moreover, the ERD arrival time (i.e., <inline-formula>
<mml:math id="M29">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">no</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="normal">KI</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) was adopted as an indicator of temporal characteristics of ERD because it was used to evaluate the appropriateness of ERD for BCI, which is also an MI enhancement target for BCI system (<xref ref-type="bibr" rid="ref16">Duann and Chiou, 2016</xref>; <xref ref-type="bibr" rid="ref59">Song and Kim, 2019</xref>). In our study, <inline-formula>
<mml:math id="M30">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">KI</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is significantly shorter during the KI-LMI task than the no-LMI task (<inline-formula>
<mml:math id="M31">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">KI</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x003C; <inline-formula>
<mml:math id="M32">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">no</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, see <xref rid="fig7" ref-type="fig">Figure 7C</xref>). Therefore, the ERD feature of KI-LMI was detected more quickly (i.e., better real-time; <xref ref-type="bibr" rid="ref16">Duann and Chiou, 2016</xref>; <xref ref-type="bibr" rid="ref59">Song and Kim, 2019</xref>), then the KI may speed up the online detection of LMI-BCI. The above significant ERD indexes are beneficial to EEG feature detection, thus improving the classification performance of BCI system. Referring to previous research methods (<xref ref-type="bibr" rid="ref60">Storzer et al., 2016</xref>), this study plotted the grand-averaged relative power of Cz electrode (see <xref rid="fig8" ref-type="fig">Figure 8</xref>), in order to more clearly compare the effect of KI on different tasks. The results of <xref rid="fig8" ref-type="fig">Figure 8</xref> and <xref rid="fig5" ref-type="fig">Figure 5</xref> are consistent, and both show that relative power in the &#x03B1; band presents a more significant decline trend than that in the &#x03B2; band. This result indicated that the optimal frequency band of performing LMI is 8-13&#x2009;Hz for some subjects in this study. And, above results suggest that KI enhances the relative power decline for all frequency bands during performing LMI and improves LMI ability of subjects.</p>
<p>In terms of BCI performance, KI significantly improved the average accuracy of classifying LMI and rest task (see <xref rid="fig9" ref-type="fig">Figure 9</xref>), achieving a 6.88% improvement. Especially, it is noteworthy that the average accuracy of all BCI-illiterate increased by 9.17%. Therefore, KI could enhance LMI, and enhanced LMI by KI may be more suitable for the BCI-illiterate (e.g., the partial stroke patients; <xref ref-type="bibr" rid="ref57">Shu et al., 2017</xref>, <xref ref-type="bibr" rid="ref56">2019</xref>; <xref ref-type="bibr" rid="ref50">Ren et al., 2020</xref>). Considering that if KI is applied to online LMI-BCI, vibration stimulation need to be performed simultaneously during LMI and rest tasks. Therefore, KI-LMI and V-rest are classified in our study to simulated online BCI performance. The results of this study show that KI is more conducive to the online classification of LMI and rest tasks for most subjects(see <xref rid="fig9" ref-type="fig">Figure 9</xref>, KI-LMI vs. V-rest, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05). Grand-averaged topographical distribution indicates that EEG features of KI-LMI and V-rest tasks have significant differences (i.e., More significant ERD feature were observed under the KI-LMI task). Therefore, better results can be obtained by classifying KI-LMI and V-rest tasks. Obviously, the high classification performance of KI-LMI/V-rest tasks is more suitable for the practical application of LMI-BCI paradigm. In addition, the results of <xref rid="fig7" ref-type="fig">Figure 7</xref> and <xref rid="fig8" ref-type="fig">Figure 8</xref> show that KI can enhance ERD feature and relative energy changes for most subjects. This result is more helpful for CSP to extract the two types of features with significant differences, so as to improve the classification performance (see <xref rid="fig9" ref-type="fig">Figure 9</xref>). In contrast, one subject (H3) thought that KI distracted his attention during the LMI task. Our research analyzed that higher vibration frequency might make this subject nervous because the Cz-ERD power of this subject was relatively unstable before the LMI task (see <xref rid="fig7" ref-type="fig">Figure 7A</xref>). The offline accuracy of the H3 is decreased by 1.25% (see <xref rid="fig9" ref-type="fig">Figure 9</xref>) due to the above reasons. Our research paradigm presented significant performance advantages for most subjects. Consequently, it may be more conducive to the training and rehabilitation of most stroke patients. Previous studies have found that activated areas of the cerebral cortex are biased toward the contralateral sensorimotor cortex during performing the LMI and visual observation task (<xref ref-type="bibr" rid="ref30">Li et al., 2015</xref>; <xref ref-type="bibr" rid="ref71">Yu et al., 2018</xref>). In this research (<xref ref-type="bibr" rid="ref64">Tariq et al., 2020</xref>), LDA, SVM, and KNN model were used to classify bilateral foot LMI task. And, the single trial analysis and classification models resulted in high discrimination accuracies, i.e., maximum 83.4% for beta-ERS, 79.1% for beta-ERD, and 74.0% for mu-ERD. The above results are consistent with our study in <xref rid="fig5" ref-type="fig">Figure 5</xref>. Additionally, our statistical results in <xref rid="tab4" ref-type="table">Table 4</xref> proved that the KI significantly enhanced the cortex activation at the left and middle region of sensorimotor cortex (i.e., channels C3 and Cz) during the LMI task. This result is consistent with the topographical distribution (see <xref rid="fig5" ref-type="fig">Figure 5</xref>). Therefore, the KI may be conducive to distinguishing the left/right LMI task. This study provides a new idea to design the left/right LMI-BCI paradigm.</p>
<p>Previous studies have shown that 70 to 80&#x2009;Hz is an effective way to induce KI, and high vibration frequencies cannot induce KI (<xref ref-type="bibr" rid="ref40">Naito et al., 1999</xref>; <xref ref-type="bibr" rid="ref38">Naito, 2004</xref>; <xref ref-type="bibr" rid="ref65">Taylor et al., 2017</xref>). The results of our study indicate that 180&#x2009;Hz can induce lower-limb KI, which is somewhat different from previous results. Different vibration stimulation locations will induce different KI effects. Previous studies explored the optimal stimulation frequency range through vibration of the upper limb tendon (<xref ref-type="bibr" rid="ref40">Naito et al., 1999</xref>; <xref ref-type="bibr" rid="ref38">Naito, 2004</xref>; <xref ref-type="bibr" rid="ref65">Taylor et al., 2017</xref>; <xref ref-type="bibr" rid="ref4">Barsotti et al., 2018</xref>), while this study explored the effect of inducing lower-limb KI through vibration of Achilles tendon. The cerebral cortex region corresponding to the upper-limb and lower-limb has a great difference in physiological structure (i.e., the anatomical location of the lower-limb motor cortical area is smaller and deep within the contralateral mesial cortex; the lower limb is located at the distal physical level) (<xref ref-type="bibr" rid="ref37">Michael, 2016</xref>), which makes the optimal vibration frequency for inducing the upper-limb and lower-limb KI may have great difference. The experimental results of our study verified the feasibility of lower-limb KI induced by vibration of Achilles tendon at 180&#x2009;Hz, which provides some reference for the research on inducing lower-limb KI with vibration stimulation. However, the vibration parameters (e.g., vibration frequency and vibration duration) were not optimized in this study. In the future, the influence of different vibration parameters on inducing lower-limb KI will be explored to produce the optimal induction effect. Studies have shown that MI-BCI is beneficial to improve the rehabilitation of stroke patients (<xref ref-type="bibr" rid="ref34">Mane et al., 2020</xref>). Therefore, our research paradigm further improves the rehabilitation effect and lower-limb motor function of stroke patients by improving the performance of LMI-BCI. However, our study removed data with more artifacts before classification, which may affect the results of online classification in LMI-BCI. Future research will design online experiments to explore the effect of removing data with more artifacts on online application. Although the obtained results are statistically significant, it is acknowledged that the sample size of the current study is limited to 16 healthy subjects. Therefore, more healthy subjects and stroke patients should be recruited to further study the features in sensorimotor cortex caused by KI in different groups.</p>
</sec>
<sec id="sec24" sec-type="conclusions">
<label>5.</label>
<title>Conclusion</title>
<p>In this study, we integrated the induced KI by vibrating Achilles tendon with LMI tasks to enhance LMI ability. Our research 1 has verified that the KI was induced by vibratory stimulation on Achilles tendon, and found that the activated cortex area by the KI was similar to the activated cortex area by LMI. Research 2 demonstrated that the KI could enhance the activation of the sensorimotor cortex and improve the classification preformance of offline and simulated online LMI-BCI. Additionally, this study found that KI improved the ipsilateral difference of cerebral cortex. The LMI-BCI paradigm of this study is conducive to enhance LMI ability and provides a new idea to design a novel left/right LMI-BCI paradigm. This proposed approach enriched the content of LMI-BCI technology and accelerated its research progress.</p>
</sec>
<sec id="sec25" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="sec26">
<title>Ethics statement</title>
<p>The studies involving human participants were reviewed and approved by the Ethics Committee of Xi&#x2019;an Jiaotong University (Approval No. 2021&#x2013;1577). The participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="sec27">
<title>Author contributions</title>
<p>WW, BS, and JW contributed to conception and design of this study. WW and DW carried out collecting EEG data and statistical analysis. BS, GL, and JW provided many suggestions for this study. WW and GL worked together to complete the manuscript. All authors contributed to manuscript revision, read and approved the submitted version.</p>
</sec>
<sec id="sec28" sec-type="funding-information">
<title>Funding</title>
<p>This work was supported by the open project of Henan Key Laboratory of Brain Science and Brain-Computer Interface Technology under Grant HNBBL230101 and HNBBL230207, and the Shenzhen Science and Technology Plan projects under Grant JSGG20201102145602006, and 2021 Basic Research Project of Shenzhen Science, Technology and Innovation Commission under Grant JCYJ20210324123414039.</p>
</sec>
<sec id="conf1" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="sec100" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<ref-list>
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