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Transcutaneous spinal direct current stimulation (tsDCS) does not affect postural sway of young and healthy subjects during quiet upright standing

  • Felipe Fava de Lima ,

    Roles Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Project administration, Software, Validation, Visualization, Writing – original draft, Writing – review & editing

    felipefavadelima@usp.br

    Affiliation Biomedical Engineering Laboratory, Escola Politécnica, University of São Paulo, São Paulo, Brazil

  • Cristiano Rocha Silva,

    Roles Conceptualization, Investigation, Methodology, Writing – review & editing

    Affiliation Biomedical Engineering Laboratory, Escola Politécnica, University of São Paulo, São Paulo, Brazil

  • Andre Fabio Kohn

    Roles Conceptualization, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Writing – original draft, Writing – review & editing

    Affiliation Biomedical Engineering Laboratory, Escola Politécnica, University of São Paulo, São Paulo, Brazil

Abstract

Transcutaneous spinal direct current stimulation (tsDCS) is an effective non-invasive spinal cord electrical stimulation technique to induce neuromodulation of local and distal neural circuits of the central nervous system (CNS). Applied to the spinal cord lumbosacral region, tsDCS changes electrophysiological responses of the motor, proprioceptive and nociceptive pathways, alters the performance of some lower limb motor tasks and can even modulate the behavior of supramedullary neuronal networks. In this study an experimental protocol was conducted to verify if tsDCS (5 mA, 20 minutes) of two different polarizations, applied over the lumbosacral region (tenth thoracic vertebrae (T10)), can induce changes in postural sway oscillations of young healthy individuals during quiet standing. A novel initialization of the electrical stimulation was developed to improve subject blinding to the different stimulus conditions including the sham trials. Measures of postural sway, both global and structural, were computed before, during and following the DC stimulation period. The results indicated that, for the adopted conditions, tsDCS did not induce statistically significant changes in postural sway of young healthy individuals during quiet standing.

Introduction

Transcutaneous spinal direct current stimulation (tsDCS) is a relatively new non-invasive technique able to induce long-lasting neuromodulation on the human central nervous system (CNS) [1]. It is performed through a transcutaneous electrode placed over the human torso at the back of the spine and a second electrode placed elsewhere on the torso so that a low intensity direct electric current (DC) flows through the spinal cord during a predefined time interval (usually more than 15 minutes) [2].

Depending on the polarity and electrode placement, direct current (DC) has been shown to induce changes on lower limb somatosensory evoked potentials [1], alter the synaptic efficacy of the lumbar spinal monosynaptic reflex circuit formed by Ia afferents and motoneurons [37], modify spinal nociceptive circuit gains [811], improve motor unit recruitment [12], reduce presynaptic D1 inhibition possibly by neuromodulation of spinal interneurons [13], change corticospinal transmission/excitability [14, 15] and facilitate TA muscle proprioceptive transcortical reflexes [16]. Interestingly, in addition to the segmental effects generated at the stimulated spinal cord region, tsDCS may induce neuromodulation of supramedullary and cortical neural circuits. Some studies have shown changes of intracortical inhibition/facilitation [17, 18], effects on cerebellar-cortical neuronal networks [19] and modulation of the interhemispheric processing delay [20] due to tsDCS applied over lower thoracic regions. The DC stimulation can also induce alterations in central fatigue mechanisms [21] and improve locomotor learning tasks [22].

Similarly to transcranial direct current stimulation (tDCS), the physiological mechanisms underlying the effects of tsDCS are not yet completely understood [23]. The electric field produced by the electric current flow through the spinal cord possibly induces a slight polarization shift of some spinal cord neuronal compartments, mainly axonal terminals [24], changing the neuronal excitability and thus modifying the firing behavior of the stimulated cells. Over time these changes can produce persistent modifications of L-VGCC (L-Type Voltage Gated Calcium Channel) ionic channels or/and NMDA (N-methyl-D-aspartate) receptors [25, 26] (a review on tDCS is provided by [23]). Other mechanisms can also contribute to the observed effects, as for example, ionic channel migration, electrical stimulation of non-neural cells, changes in neurotransmitter concentrations, and/or nano-galvanotropism [23].

The electric field profile generated in the spinal cord by tsDCS depends not only on the position of the electrode located over the spinal cord region, but also on where the other electrodes are attached. Previous computational studies using realistic human torso models have shown that the field generated in the region of the lumbosacral enlargement can be maximized by placing one electrode over the tenth thoracic vertebra (T10) and electrodes over the iliac crests [24, 27].

Postural control requires the CNS to integrate sensory information from the visual, auditory, vestibular and somatosensory systems for the proper activation of the skeletal muscles that are involved in balance control [28, 29], assigning different weights to the information from each system in different scenarios [28, 30]. The quiet standing posture is commonly used to study aspects of the behavior of the postural control system [3135] by analysing the resultant postural oscillations [36]. Commonly, a force platform is used to acquire the position of the center of pressure (COP) over time, which corresponds to the location of the resulting ground force reaction generated by the feet over time. Quantification of postural oscillations during quiet standing can be based on parameters obtained in the time domain, either by simple measures such as the standard deviation [37, 38] or by more complex ones such as entropy [39, 40] and fractal structure [41], or in the frequency domain [37]. Different parameters can capture different aspects of the underlying neural control during quiet standing [42] and there is no consensus on which parameters should be used to identify changes due to different experimental conditions or due to disease [36, 43].

In healthy subjects, during quiet standing, the CNS mainly uses the ankle strategy to maintain balance [44], activating leg muscles in response to sensory input from lower limb muscle spindles and Golgi tendon organs (GTO) and from cutaneous mechanoreceptors of the soles of the feet [4549]. The neural circuitry of the spinal cord certainly has a key role in the control of many complex motor tasks [50]. A multiscale mathematical model study showed that a pattern of activation of the leg muscles similar to that obtained in experimental studies during standing posture, could be obtained just with local spinal cord circuitry without longer feedback from supraspinal circuits [51]. Another link between postural oscillations and spinal neural circuits is suggested by the modulation of the triceps surae Hoffman reflex (H-reflex) according to the postural sway phase and direction during quiet standing [5254], possibly by a modulation of presynaptic inhibition [55]. Another study revealed that sublimiar electrical noise stimulation was sufficient to alter characteristics of the postural sway during quiet standing posture [56], probably by a stochastic resonance mechanism acting on muscle splindles.

Through the extrapolation of data obtained from cats, the activity of each human lumbar motoneuron is probably influenced by tens of thousands of axonal terminations [57]. These come from a large number of axons originating from cortical and subcortical supramedullary nuclei centers as well as from spinal cord interneurons responsible for the integration of information from other motorneurons and from proprioceptive inputs carried by type Ia, Ib and II afferent axons [5860]. Each motoneuron also receives direct excitatory connections from type Ia fibers originating from muscle spindles. Most inputs to a given motoneuron can act both on ionotropic and metabotropic receptors. The latter are responsible for persistent inward currents (PICs) that produce longer lasting changes in motoneuron excitability [61]. All the axonal terminals acting on spinal cord motoneurons and interneurons are susceptible to undergo alterations induced by an electrical field generated by tsDCS [24]. Therefore, if the DC current is targeted on the lumbar region of the spinal cord, axonal endings involved in motor control may undergo changes that influence the control of upright standing.

Summarizing, the general hypothesis of the present study was that tsDCS applied over the lumbosacral enlargement can modify the behavior of postural sway of young and healthy individuals during quiet standing. This hypothesis is based on several published data that suggest that both segmental and suprasegmental regions of the central nervous system contribute to motor control during upright posture [47, 48, 6265]. These regions could be affected both by segmental effects of tsDCS, such as changes on spinal reflexes, and/or by supramedullary effects, as for example by the neuromodulation of axonal endings of first-order neurons of spinocerebellar pathwayss related to postural control [66, 67]. In order to test this hypothesis, we conducted an experimental protocol applying lumbar-level tsDCS with two different polarizations and analyzed the postural sway by posturography before, during and after of the electrical stimulation. An experimental blinding assessment methodology and a novel initialization of the electrical stimulation was also developed. To our knowledge this is the first study that attempts to verify the effect of tsDCS on quiet standing.

Materials and methods

Subjects

Seventeen young healthy volunteers were enrolled in the study. All participants reported having no previous history of orthopedic injuries, diseases of the nervous system, chronic pain, labyrinthitis or diabetes and had no knowledge of effects of electrical stimulation in humans. On experiment days the participants did not take stimulant substances, such as coffee or energy drinks, and did not take any medications other than those they were already used to. The study was approved by the Research Ethics Committee of the Physical Education School of the University of São Paulo (CAAE 09592919.0.0000.5391) and all participants read and signed the approved free and informed consent term (TCLE).

As no previous studies of similar scope were found, the sample space size was defined based on values adopted in posturography studies in the literature during quiet standing as well as in studies on tsDCS. Typical sample size in these fields have been between 10 and 20 participants.

tsDCS protocol

The DC stimulation was generated by a commercial electrical stimulator (Stmisol-1, Biopac System, Inc., EUA) connected to three rectangular self-adhesive disposable electrodes (10x5 cm2, ValuTrode VL4595, Axelgaard Manufacturing CO. Ltd., EUA). To maximize the electric field intensity generated by tsDCS in the region of lumbosacral enlargement [24, 27], one electrode was placed centralized over T10, with the largest dimension oriented in the rostrocaudal direction, and two electrodes were positioned over the upper edge of the iliac crests on each side of the body, with the largest dimension positioned in the anteroposterior direction (Fig 1, left illustration). The electrode placed over T10 was connected to one terminal of the electrical stimulator, and the two electrodes positioned over the iliac crests were connected together to the other terminal. The skin below the contact region was previously gently cleaned with cotton moistened with alcohol 70%. T10 was identified by palpation with the supervision of a physical therapist (the second author).

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Fig 1. Electrode placement and experimental protocol.

Back torso illustration on the left: One electrode (10x5 cm2) was placed over T10 (D) and two electrodes (10x5 cm2) on the upper edge (C) of the iliac crests (A and B). The three protocols were composed of a startup stimulation (upper right plot) consisting of a 5 mA 50-seconds stimulation with the electrode over the spinal cord configured as cathode followed by a 5 mA 50-seconds stimulation of opposite polarity. On each experimental day, 5 repetitions of a data collection sequence (resting in a chair for 100 seconds, 50 seconds to prepare and start the quiet standing task and 90 seconds of data acquisition, as shown by the bottom right scheme) were performed both before (t0), during (t1) and after (t2) the electrical stimulation protocol (center right scheme). During the electrical stimulation protocol (t1), after the startup stimulation, the stimulator was held either at +5 mA (AT10,Cic), -5mA (CT10,Cic) or turned off (Sham) for 20 minutes. The electrical slew rate was 0.5 mA/s. The electrical stimulator was turned off before (t0) and after (t2) the electrical stimulation protocol.

https://doi.org/10.1371/journal.pone.0267718.g001

The electrical stimulation was performed with an intensity of 5 mA during 20 minutes, resulting in a maximum electrical current density at the skin-electrode interface of 100 uA/cm2 and a delivered electrical charge of 120 mC/cm2. These values are well below tissue damage [6870]. The adopted current density is slightly higher than the adopted by some authors (71.5 uA/cm2) [1, 4, 8, 9, 12, 17, 71, 72], it is the same as that used in one study [73] and it is four times lower than that employed in another one (400 uA/cm2) [18]. During the entire protocol, the electrical current applied to the participant was monitored by a calibrated battery-powered ammeter (MD5880, Icel, Brazil).

Three electric stimulation protocols were investigated: Cathode over T10 and anode over the iliac crests (CT10,AiC); Anode over T10 and cathode over the iliac crests (AT10,CiC); Sham. To improve experimental blinding and to try to diminish any possible effects of the electrical stimulation during the Sham protocol [74], all three stimulation protocols were initialized with an electrical start-up stimulation consisting of a 5 mA 50-seconds stimulation with the electrode over the spinal cord configured as cathode followed by a 5 mA 50-seconds stimulation of opposite polarity (Fig 1, upper plot). In the Sham protocol, after the application of the startup stimulation, the electrical stimulator was turned off. All electric current changes occurred at a maximum rate of 0.5 mA/s, minimizing skin discomfort and muscular activation.

Posturography by force platform

The resulting reaction forces (Fx, Fy and Fz) and moments (Mx, My and Mz) generated by the feet of the participants on the ground during the quiet standing posture were measured by a calibrated force plate (OR6–7-1000, AMTI Advanced Mechanical Technology, Inc., EUA). Participants were positioned on bipedal standing at the center of the force platform, barefoot, feet positioned at a comfortable distance less than shoulder-width apart. Markings were made on the force platform so that the positioning of the feet could be replicated throughout the experiment. During data acquisition, subjects were instructed to remain as still as possible, with arms relaxed at their sides, with eyes closed and covered by opaque glasses and ears covered by headphones reproducing white noise at a pleasant volume.

Experimental procedure

The experimental procedure was performed according to the Helsinki declaration [75]. Participants attended the laboratory three times with a minimum interval of three days between experimental sessions. No previous information about the electrical stimulation characteristics was provided to the participants. On each day, the subject performed the quiet standing protocol in one of the three different electrical stimulation protocols: (CT10, AiC), (AT10, CiC) or Sham, chosen at random and prioritizing the appropriate balance of the selected sequence of electrical stimulation protocols between the participants.

On each experimental day, after the participant’s preparation, seventeen repetitions of a data collection sequence were performed both before (t0), during (t1) and after (t2) the electrical stimulation protocol (Fig 1, center right) as follows: In order to familiarize the subject with the experimental procedure, the experimental protocol (i.e., postural sway acquisition in quiet stance) was initiated by two dummy repetitions. Then five protocol repetitions before (t0), five during (t1) and five after (t2) the electrical stimulation protocol were performed, lasting 60 minutes in total (20 minutes in each of the three stages with 5 repetitions in each). The data collection sequence was composed of three periods: resting, preparation and data acquisition. During the resting period, participants were asked to sit relaxed in a chair for 100 seconds, minimizing possible fatigue effects. In the preparation phase, within 50 seconds, the subjects got up from the chair, positioned their feet on the force platform according to the markings, covered their eyes with opaque glasses, closed their eyes and remained as still as possible in the upright posture with masking white noise sound applied through headphones. During the data acquisition period, 90 seconds of data were obtained from the force platform while the participant was performing the quiet standing task. After this period, participants were instructed to sit back in the chair and wait for a new data acquisition sequence repetition.

The experimental protocol was fully automated by a software developed in Labview (National Instruments, USA) that managed data acquisition, instructed the participant by recorded voice commands and triggered the electrical stimulation protocol, ensuring precise protocol timing.

At the end of each experimental session participants were asked to fill out an assessment form. The subjects had to rate on a five-level scale the duration of the electrical stimulation (level 0 corresponding to no perceived electrical stimulation, level 1 to a very short felt electrical stimulation duration, level 2 to a short one, level 3 to a long duration and level 4 to a very long duration) and on a four-level scale the perceived levels of itching, pain, burning, heating and tingling from the electrical stimulation (level 0 corresponding to no perceived sensation, level 1 to a soft sensation, level 2 to a moderate one and level 3 to an intense sensation). In this form, minor and major adverse events could also be registered by the researcher conducting the experiment. This assessment methodology is similar to the one used for brain tDCs to verify the effectiveness of experimental blinding and the occurrence of adverse events [76]. A translated version of the assessment form is available on S1 File.

Signal acquisition and processing

The analog signals from the force plate were digitized by an analog to digital converter (Power1401, Cambridge Electronic Design Limited, UK), with a sampling frequency of 1kHz. The acquired digital data were processed offline in Matlab (Matlab 2015a, MathWorks, EUA). The COP signals, both in the anterior-posterior (AP) and medial-lateral (ML) directions, were obtained from the resulting forces and moments acquired from the force platform [77, 78]. All signals were filtered by a fourth order low-pass digital Butterworth filter with a cutoff frequency of 10 Hz and then resampled to 100 Hz. The first 160 ms of the filtered signals were discarded to eliminate the filter transient period.

The raw COP data in the anteroposterior direction of all subjects were visually inspected by a trained technician. Data acquisitions with anomalous dynamic periods were manually excluded from the data analysis (Fig 2). These periods corresponded to undesirable small movements of the participant generated by a decrease in attention during task execution, deep breathing or small arm movements. Subjects who had more than three excluded data acquisitions at a same stage of the electrical stimulation protocol were removed from the final results.

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Fig 2. Data acquisition visual exclusion criteria.

Example of COPs signal in the anteroposterior direction acquired from a subject in one of the electrical stimulation protocols. From left to right: acquisitions obtained before (t0), during (t1) and after (t2) the electrical stimulation protocol. In (t0), acquisitions 3 and 4 presented periods of expressive anomalous dynamics (red arrows), and were excluded from the final analysis.

https://doi.org/10.1371/journal.pone.0267718.g002

A set of most commonly adopted COP parameters, both global and structural, were computed by Matlab routines. The following time domain parameters were obtained: standard deviation (SD parameters), mean velocity (MVELO parameters), ellipse area that encompasses the stabilogram area with 95% confidence (AREAE parameters) and sway-area rate (AREArate) [37]. The following frequency domain quantifiers were also computed: power spectral density (PSD) area between 0.05 Hz to 0.5 Hz (PSD_AREA_LF parameters), PSD area between 0.5 Hz to 2 Hz (PSD_AREA_HF parameters) [37] and the frequencies encompassing 50% (f50p_PSD parameters) and 80% (f50p_PSD parameters) of the PSD [37]. To characterize temporal patterns, stabilogram diffusion analysis (SDA) (DS, DL, ΔTc and parameters) [41], frequency-specific fractal analysis (FsFA) (α_S and α_L parameters) [79] and multi-scale entropy analysis (MSE) (CI parameters) [80, 81] were also computed. The SD, MVELO, f50p_PSD, f80p_PSD and CI parameters were also calculated for the COP velocity and for the signals obtained by the rambling/trembling decomposition as they cover different aspects of the underlying neural control [36, 81, 82].

Data analyses

Statistically significant differences in the COP parameters were verified by a two-way analysis of variance (ANOVA) using the IBM SPSS Statistics 20 package (IBM, USA) with a significance level of p ≤ 0.05. The two-way ANOVA main factors were “electrical stimulation protocol” ((CT10, AiC), (AT10, CiC) and Sham) and “electrical stimulation stage” (t0, t1, t2). For those cases where sphericity condition was violated (p ≤ 0.05), the Greenhouse-Geisser degrees of freedom correction was used for ϵ ≤ 0.75 and the Huynh-Feldt correction otherwise [83]. Parameters for which the null hypothesis was rejected, post hoc analysis was conducted using the Bonferroni procedure to identify the conditions that showed statistically significant differences [83].

Statistically significant differences in the participants’ assessment of the electrical stimulation for different protocols were verified by Friedman tests (p ≤ 0.05) with independent variable “electrical stimulation protocol” and dependent variables: “duration of electrical stimulation”, “itching”, “pain”, “burning”, “heating”, and “tingling”. In situations where the null hypothesis was rejected, a post hoc analysis with the Wilcoxon signed-rank test (p ≤ 0.05) with Bonferroni correction would be conducted. This analyses was conducted on Python 3.8 with the library SciPy 1.8.0.

Results

Four subjects were excluded from the final data analysis since they had more than three excluded data acquisitions in a same stage of the electrical stimulation protocol. The results of the COP parameters were obtained from thirteen subjects (5 females; age 23.0 ± 3.5; weight 66.5 ± 10.7 kg; height 1.69 ± 0.08 m [mean ± standard deviation)]). The balance of sequences of the electrical stimulation protocol is available in S2 File. Assessments of the electrical stimulation of twelve participants were used for the evaluation of experimental blinding.

The averages and standard deviations of all COP parameters at different stages (t0, t1 and t2) of the three electrical stimulation protocols, the quartile ranges of the electrical stimulation assessments answers and the results of the statistical analysis, both for the COP parameters and for the results of the assessment of electrical stimulation, are available on the S2 File.

A graphical representation of the obtained results of some parameters, representing a sample of the main COP analyses (time, frequency, SDA, FsFA and MSE), are exhibited in Fig 3 (panels “a” to “h”).

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Fig 3. Graphical representation of some of the results obtained from COP parameters.

Points in red correspond to the average of the parameter, from all participants, before (S0), during (S1) and after (S2) the electrical stimulation protocol in the Sham protocol. Points in green correspond to the average of the parameter, of all participants, before (C0), during (C1) and after (C2) the electrical stimulation protocol in the (CT10, AiC) protocol. Points in blue indicate the parameter average, of all participants, before (A0), during (A1) and after (A2) the electrical stimulation protocol in the (AT10, CiC) protocol. Vertical lines represent the standard deviation of the sample space. Light gray lines represent the parameter values calculated for each subject. f50p_PSDAP (panel “c”) has statistically significant difference before (t0) the electrical stimulation between the Sham and (A-T10,CiC) protocols. αLML (panel “b”) has statistically significant difference between during (t1) and after (t2) the electrical stimulation stage. The “≠” symbol indicates the situations where statistically significant differences were observed.

https://doi.org/10.1371/journal.pone.0267718.g003

Two parameters (f50p_PSDAP and αLML) out of 34 had statistically significant differences but not associated with the electrical stimulation protocol. Therefore, the hypothesis that tsDCS alters the dynamics of postural control during quiet standing posture on young and healthy subjects has been rejected.

The statistically significant difference observed in f50p_PSDAP (p < 0.05) was in the interaction between stimulation protocol and electrical stimulation stage. Post-hoc analysis indicated that a statistically significant difference (p < 0.05) was observed before (t0) the electrical stimulation between Sham and (A-T10,CiC) protocols (Fig 3, panel “c”).

The αLML parameter had a statistically significant difference (p < 0.01) in the main factor “electrical stimulation stage”. Post-hoc analysis for this parameter indicated that the null hypothesis was rejected (p < 0.001) between during (t1) and after (t2) the electrical stimulation stage (Fig 3, panel “b”).

A graphical representation of the participants’ assessments of the electrical stimulation protocol is shown in Fig 4. No statistically significant differences were obtained between different electrical stimulation protocols indicating satisfactory experimental blinding. No major adverse effects were reported. All participants presented temporary mild erythema under the electrodes positioned on the back and on the iliac crests. Two subjects developed small blisters on the skin in the region in contact with the stimulation electrodes which healed in a few days. One subject presented hypersensitivity to the electrical stimulation, canceling the participation in the experiment.

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Fig 4. Graphical representation of the answers from the participants’ assessments.

Clockwise, starting from the graph on the left side of the upper corner, are displayed the frequencies of the answers obtained from the electrical stimulation assessments regarding the level of itching, pain, burning, heating, tingling, and duration of the electrical stimulation. The area of the geometric shapes are proportional to the frequency of answers obtained in each condition. For example, in the Sham protocol, six participants answered that they did not feel itching (level 0) and six participants answered that they felt itching with soft intensity (level 1) and in the CT10, AiC protocol, eight participants reported that they did not feel itching (level 0), two participants reported that they felt itching softly (level 1), one participant responded that he/she felt itching moderately (level 2) and one participant answered that he/she felt itching intensely (Level 3). For the duration of the electrical stimulation, level 0 indicates that the subject did not feel the electrical stimulation, and levels 1, 2, 3, and 4 indicate that the participant felt a very short, short, long, or very long duration electrical stimulation, respectively. The white dots inside the geometric shapes correspond to the medians of the results in each condition.

https://doi.org/10.1371/journal.pone.0267718.g004

The raw COP data and the electrical stimulation assessment are available in an online open access repository [84].

Discussion

Previous studies of tsDCS have shown that DC electrical stimulation can induce motor performance improvements in tasks executed with the lower limb in healthy young subjects [21, 22]. Other studies reported that tsDCS can modify electrophysiological responses related to the spinal cord as well as to supramedulary neural pathways [1, 36, 13, 18]. However our results showed that tsDCS caused no statistically significant effect on postural sway during quiet standing of healthy young individuals. The hypothesis of this work was based on published experimental data suggesting that both segmental and suprasegmental regions of the central nervous system are involved in postural control during upright posture [47, 48, 62, 64]. In particular, DC stimulation in the vinicity of T10 has been reported to modulate the behavior of spinal and/or supramedullary neuronal networks [12, 1720], suggesting that tsDCS around the lumbar level could be effective in influencing postural control and possibly also postural sway.

In our experimental protocol, to mitigate possible cutaneous sensory cues produced by the electrical stimulation on the iliac crests, improving experimental blinding, we selected stimulation electrodes with surface area of 50 cm2. To keep the current density over the spinal cord region similar to the usually adopted in other tsDCS studies, an electrical stimulation intensity of 5 mA was selected. This electrical stimulation configuration was slightly different from the generally used (35 cm2 electrodes and stimulation intensity of 2.5 mA) [1, 4, 8, 9, 12, 17, 71, 72]. The relationship between current intensity and observed effects may be non-linear in tsDCS protocols [8589]. An increase of the electrical stimulation current could result in the reduction or cancellation of the neuromodulation effects [90]. It is possible that although the use of larger surface electrodes may have reduced skin sensory cues, the use of a higher current intensity in our experimental protocol may have resulted in an attenuation of the effects of the electrical stimulation on neural pathways related to quiet standing postural control.

Recent computational studies of tsDCS have reported that the placement of electrodes over T10 and over the iliac crest optimizes the stimulation of the region of the lumbosacral enlargement [24, 27], which contains a large amount of axonal and dendritic segments as well as a great number of synapses related to lower limb activation [91, 92] and thus certainly related to postural control during standing. In addition, computer simulation of an approximate mathematical model developed in our laboratory, showed that the use of a bilateral placement of electrodes on the iliac crests allowed a reduction in the electric current density in this region of the skin, when compared to the unilateral placement, without modifying the electric field generated in the spinal cord [93]. These evidences motivated us to use an electrode positioned over T10 and two electrodes over the iliac crests bilaterally. This configuration is slightly different from the one generally employed in previous studies that commonly use one electrode positioned over T10/T11 and the second electrode over the upper torso region [1, 313, 17, 71, 94]. One cannot rule out the possibility that the adopted electrode positions generated an electric field in the spinal cord with inappropriate orientation to induce sufficient membrane potential changes of axons and dendrites of tracts and neurons involved in postural control during stance. The orientation of the electrical field with respect to the neuronal compartments influence the level of polarization/depolarization generated by a DC stimulation [24, 95]. In a study that used electrode placements rather similar to the adopted in the present study, albeit with a smaller current intensity (2.5 mA), no significant changes of some electrophysiological responses (F-Wave, H-reflex, MEP) associated with the lower limbs were found [73].

Previous studies of tsDCS adopted for the Sham protocol either a short-duration initial electrical stimulation [1, 4, 6, 8, 1013, 72, 73, 94, 9698] or repetitive pulsed electrical stimulation [3, 7] to mimic the cutaneous sensations elicited by the tsDCS. In preliminary tests performed in our laboratory we noticed that these techniques were far from being effective in masking the absence of electrical stimulation during the Sham protocol. We also observed that it was possible to easily identify the difference between the cutaneous sensory experience of different electrical protocols (C-T10, CiC) and (A-C10, CiC) even with the commonly used electrical current intensity of 2.5 mA and 35 cm² electrodes. In addition, there seems to be a lack of data on minimum limits in duration and intensity of the DC stimulation that could avoid some long-lasting neuromodulation on the spinal circuitry caused by the sham stimulation. Thus it cannot be guaranteed that even a relatively short duration stimulation could not result in some unwanted effect that could influence postural sway. In order to try to mitigate these problems, we developed a novel initialization of the electrical stimulation for all electrical stimulation protocols (Fig 1, upper right plot). The developed startup electrical stimulation minimizes differences of cutaneous cues produced by different protocols as the same polarity sequence is applied to the electrodes in the initial instants of all protocols, hence improving the experimental blinding. The bipolar aspect of the waveform of this novel stimulation startup also results in a zero total electric charge applied to the spinal cord, minimizing unwanted effects of even a short duration electrical stimulation of the Sham protocol [74]. No statistically significant differences were found between the results of the adopted perceptual assessment of the different stimulation protocols indicating that the proposed stimulation methodology could be useful in future work employing tsDCS. Although common in tDCS studies, to our knowledge, no previous tsDCS studies have conducted a quantitative assessment of the experimental blinding. Hence, the proposed methodology for assessing the experimental blinding could be adopted in future studies to evaluate or compare different sham/blinding protocols in tsDCS.

Although statistically significant differences were observed in the parameters f50p_PSDAP and αLML, they were not related to the electrical stimulation. For the parameter f50p_PSDAP the change was observed even before the application of electrical stimulation, indicating that for this parameter the individuals presented different behavior from the COP baseline on different days. The difference observed in parameter αLML is not related to the interaction between stimulation protocol and stimulation stage, therefore excluding effects induced by the electrical stimulation. These differences can be attributed to uncontrolled factors in the experimental protocol, such as the effects of sleep [99], anxiety [100], and circadian cycle [101] on postural control of quiet upright standing.

In Fig 3 it can be noted that for some parameters, such as AREAE, CIAP, f50p_PSDAP, ΔTCAP and SDAP, results of some subjects could be qualitatively considered outliers. However, no reasons were found for the exclusion of these data from the final analysis by the meticulous visual inspection of the COP data in the AP direction and the observed participant’s behavior during the data acquisition. In addition, the subjects that could be considered outliers are different for different parameters. Thus, we chose not to exclude these data to avoid biasing the final results [83]. Great care was taken to standardize experimental conditions, such as keeping the same state of alertness, positioning of the feet on the force platform, laboratory temperature, and minimizing sensory, auditory, and visual cues, to reduce the influence of factors other than those produced by the electrical stimulation protocol on the postural control [102104]. In addition, we followed all the relevant procedures for ensuring the metrological quality of the results, such as using calibrated instruments and ensuring the correct timing and intensity of the electrical current applied by the tsDCS protocol.

It could be that the choice of a group of healthy young people in this study may have hindered changes of COP parameters by tsDCS as this group might not benefit from the neuromodulation produced by electrical stimulation. However, some studies have shown that modifying the proprioceptive feedback during quiet standing, even in young and healthy individuals, can improve the performance of this task [32, 105, 106]. As we found no previous research on the putative effects of tsDCS on postural oscillations in humans it seemed reasonable to depart from a control sample of young and healthy subjects so that many issues related to the stimulation technique (blinding protocol, safety, tolerability and efficacy of the methodology) could be developed and analysed. However, an effort was made to increase the difficulty of the quiet standing task, as visual and auditory cues were suppressed by using opaque glasses and headphones while the task was being performed.

Although no statistically significant changes in postural sway were induced by different polarizations of tsDCS in healthy young subjects, it cannot be stated that tsDCS did not induce any postural control changes in this group during quiet standing. It is possible that the adopted stimulation could be affecting other aspects of leg motor control not measured in the present experiment, for example, reactions to a sudden external perturbation [107]. In terms of future investigations, keeping postural sway as an indicator of standing motor control, or focusing on some other aspect of leg motor control, one could choose different electrical stimulation settings, such as a 2.5 mA DC electrical stimulation and/or electrode placement at T10 and at the right shoulder. Future research could verify if tsDCS can induce changes in quantifiers of postural control in other groups of subjects such as elderly, elderly with history of falls or individuals with some specific neurological disorder.

In a relatively new field of research, as is the case of tsDCS, it is important that negative results also be published to provide a wider view of the technical and physiological issues involved, helping direct progress in future research. The present study contributes to the field of tsDCS knowledge by presenting the non-observation of effects of tsDCS on postural sway during stance for a specific experimental protocol applied to healthy young subjects, but also proposing an alternative stimulation protocol that addresses the issue of blinding the subject to the different stimulus conditions including the sham trials. Finally, the present results open up the way for further research on tsDCS both in terms of methodology and the specificities of the subset of subjects to be tested with this technique.

Supporting information

S1 File. Electrical stimulation assessment.

Translated version of electrical stimulation protocol the assessment form.

https://doi.org/10.1371/journal.pone.0267718.s001

(DOCX)

S2 File. Supplementary information.

Tables of averages and standard deviations of all COP parameters at different stages (t0, t1 and t2) of the three electrical stimulation protocols, quartile ranges of the electrical stimulation assessments answers and results of the statistical analysis both for the COP parameters and for the results of the assessment of electrical stimulation.

https://doi.org/10.1371/journal.pone.0267718.s002

(PDF)

References

  1. 1. Cogiamanian F, Vergari M, Pulecchi F, Marceglia S, Priori A. Effect of spinal transcutaneous direct current stimulation on somatosensory evoked potentials in humans. Clinical Neurophysiology. 2008;119(11):2636–2640. pmid:18786856
  2. 2. Paulus W, Priori A. Current Methods and Approaches of Noninvasive Direct Current–Based Neuromodulation Techniques. In: Practical Guide to Transcranial Direct Current Stimulation. Springer; 2019. p. 115–131.
  3. 3. Winkler T, Hering P, Straube A. Spinal DC stimulation in humans modulates post-activation depression of the H-reflex depending on current polarity. Clinical neurophysiology. 2010;121(6):957–961. pmid:20153248
  4. 4. Lamy JC, Ho C, Badel A, Arrigo RT, Boakye M. Modulation of soleus H reflex by spinal DC stimulation in humans. Journal of neurophysiology. 2012;108(3):906–914. pmid:22623482
  5. 5. Lamy JC, Boakye M. BDNF Val66Met polymorphism alters spinal DC stimulation-induced plasticity in humans. Journal of neurophysiology. 2013;110(1):109–116. pmid:23576701
  6. 6. Heide A, Winkler T, Helms H, Nitsche M, Trenkwalder C, Paulus W, et al. Effects of transcutaneous spinal direct current stimulation in idiopathic restless legs patients. Brain stimulation. 2014;7(5):636–642. pmid:25216650
  7. 7. Kuck A, Stegeman DF, van der Kooij H, Van Asseldonk EH. Changes in H-reflex recruitment after trans-spinal direct current stimulation with multiple electrode configurations. Frontiers in neuroscience. 2018;12:151. pmid:29643759
  8. 8. Cogiamanian F, Vergari M, Schiaffi E, Marceglia S, Ardolino G, Barbieri S, et al. Transcutaneous spinal cord direct current stimulation inhibits the lower limb nociceptive flexion reflex in human beings. PAIN®. 2011;152(2):370–375. pmid:21159430
  9. 9. Truini A, Vergari M, Biasiotta A, La Cesa S, Gabriele M, Di Stefano G, et al. Transcutaneous spinal direct current stimulation inhibits nociceptive spinal pathway conduction and increases pain tolerance in humans. European Journal of Pain. 2011;15(10):1023–1027. pmid:21576030
  10. 10. Meyer-Frießem C, Haag L, Schmidt-Wilcke T, Magerl W, Pogatzki-Zahn E, Tegenthoff M, et al. Transcutaneous spinal DC stimulation reduces pain sensitivity in humans. Neuroscience letters. 2015;589:153–158. pmid:25596439
  11. 11. Perrotta A, Bolla M, Anastasio MG, Serrao M, Sandrini G, Pierelli F. Modulation of temporal summation threshold of the nociceptive withdrawal reflex by transcutaneous spinal direct current stimulation in humans. Clinical Neurophysiology. 2016;127(1):755–761. pmid:25777061
  12. 12. Bocci T, Vannini B, Torzini A, Mazzatenta A, Vergari M, Cogiamanian F, et al. Cathodal transcutaneous spinal direct current stimulation (tsDCS) improves motor unit recruitment in healthy subjects. Neuroscience letters. 2014;578:75–79. pmid:24970753
  13. 13. Yamaguchi T, Fujimoto S, Otaka Y, Tanaka S. Effects of transcutaneous spinal DC stimulation on plasticity of the spinal circuits and corticospinal tracts in humans. In: 2013 6th International IEEE/EMBS Conference on Neural Engineering (NER). IEEE; 2013. p. 275–278.
  14. 14. Yamaguchi T, Beck MM, Therkildsen ER, Svane C, Forman C, Lorentzen J, et al. Transcutaneous spinal direct current stimulation increases corticospinal transmission and enhances voluntary motor output in humans. Physiological reports. 2020;8(16):e14531. pmid:32812363
  15. 15. Bocci T, Marceglia S, Vergari M, Cognetto V, Cogiamanian F, Sartucci F, et al. Transcutaneous spinal direct current stimulation modulates human corticospinal system excitability. Journal of neurophysiology. 2015;114(1):440–446. pmid:25925328
  16. 16. Therkildsen ER, Nielsen JB, Beck MM, Yamaguchi T, Lorentzen J. The effect of cathodal transspinal direct current stimulation on tibialis anterior stretch reflex components in humans. Experimental Brain Research. 2022;240(1):159–171. pmid:34686909
  17. 17. Bocci T, Barloscio D, Vergari M, Di Rollo A, Rossi S, Priori A, et al. Spinal direct current stimulation modulates short intracortical inhibition. Neuromodulation: Technology at the Neural Interface. 2015;18(8):686–693. pmid:25880098
  18. 18. Murray LM, Tahayori B, Knikou M. Transspinal direct current stimulation produces persistent plasticity in human motor pathways. Scientific reports. 2018;8(1):1–11. pmid:29335430
  19. 19. Marangolo P, Fiori V, Caltagirone C, Incoccia C, Gili T. Stairways to the brain: Transcutaneous spinal direct current stimulation (tsDCS) modulates a cerebellar-cortical network enhancing verb recovery. Brain research. 2020;1727:146564. pmid:31765632
  20. 20. Bocci T, Caleo M, Vannini B, Vergari M, Cogiamanian F, Rossi S, et al. An unexpected target of spinal direct current stimulation: interhemispheric connectivity in humans. Journal of neuroscience methods. 2015;254:18–26. pmid:26213216
  21. 21. Berry HR, Tate RJ, Conway BA. Transcutaneous spinal direct current stimulation induces lasting fatigue resistance and enhances explosive vertical jump performance. PloS one. 2017;12(4):e0173846. pmid:28379980
  22. 22. Awosika OO, Sandrini M, Volochayev R, Thompson RM, Fishman N, Wu T, et al. Transcutaneous spinal direct current stimulation improves locomotor learning in healthy humans. Brain stimulation. 2019;12(3):628–634. pmid:30733143
  23. 23. Knotkova H, Nitsche MA, Bikson M, Woods AJ. 3—Mechanisms of Acute and After Effects of Transcranial Direct Current Stimulation. In: Practical Guide to Transcranial Direct Current Stimulation: Principles, Procedures and Applications. Springer International Publishing; 2019. p. 81–114. Available from: https://books.google.com.br/books?id=1VtKuAEACAAJ.
  24. 24. Kuck A, Stegeman D, Van Asseldonk E. Modeling trans-spinal direct current stimulation for the modulation of the lumbar spinal motor pathways. Journal of neural engineering. 2017;14(5):056014. pmid:28631619
  25. 25. Liebetanz D, Nitsche MA, Tergau F, Paulus W. Pharmacological approach to the mechanisms of transcranial DC-stimulation-induced after-effects of human motor cortex excitability. Brain. 2002;125(10):2238–2247. pmid:12244081
  26. 26. Nitsche MA, Fricke K, Henschke U, Schlitterlau A, Liebetanz D, Lang N, et al. Pharmacological modulation of cortical excitability shifts induced by transcranial direct current stimulation in humans. The Journal of physiology. 2003;553(1):293–301. pmid:12949224
  27. 27. Fernandes SR, Salvador R, Wenger C, de Carvalho M, Miranda PC. Transcutaneous spinal direct current stimulation of the lumbar and sacral spinal cord: a modelling study. Journal of neural engineering. 2018;15(3):036008. pmid:29386408
  28. 28. Mochizuki L, Amadio AC. As informações sensoriais para o controle postural. Fisioterapia em movimento. 2006;19(2):11–18.
  29. 29. Vitkovic J, Le C, Lee SL, Clark RA. The contribution of hearing and hearing loss to balance control. Audiology and neurotology. 2016;21(4):195–202. pmid:27251708
  30. 30. Assländer L, Peterka RJ. Sensory reweighting dynamics in human postural control. Journal of neurophysiology. 2014;111(9):1852–1864. pmid:24501263
  31. 31. Peterka RJ. Postural control model interpretation of stabilogram diffusion analysis. Biological cybernetics. 2000;82(4):335–343. pmid:10804065
  32. 32. Magalhães FH, Kohn AF. Imperceptible electrical noise attenuates isometric plantar flexion force fluctuations with correlated reductions in postural sway. Experimental brain research. 2012;217(2):175–186. pmid:22198530
  33. 33. Roman-Liu D. Age-related changes in the range and velocity of postural sway. Archives of gerontology and geriatrics. 2018;77:68–80. pmid:29684741
  34. 34. Leach JM, Mancini M, Kaye JA, Hayes TL, Horak FB. Day-to-day variability of postural sway and its association with cognitive function in older adults: a pilot study. Frontiers in aging neuroscience. 2018;10:126. pmid:29780319
  35. 35. Silva CR, Magalhães FH, Kohn AF. Fingertip-coupled spindle signaling does not contribute to reduce postural sway under light touch. Frontiers in physiology. 2019;10:1072. pmid:31507441
  36. 36. Duarte M, Freitas SM. Revision of posturography based on force plate for balance evaluation. Brazilian Journal of physical therapy. 2010;14(3):183–192. pmid:20730361
  37. 37. Prieto TE, Myklebust JB, Hoffmann RG, Lovett EG, Myklebust BM. Measures of postural steadiness: differences between healthy young and elderly adults. IEEE Transactions on biomedical engineering. 1996;43(9):956–966. pmid:9214811
  38. 38. Paillard T, Noé F. Techniques and methods for testing the postural function in healthy and pathological subjects. BioMed research international. 2015;2015. pmid:26640800
  39. 39. Costa M, Goldberger AL, Peng CK. Multiscale entropy analysis of complex physiologic time series. Physical review letters. 2002;89(6):068102. pmid:12190613
  40. 40. Hansen C, Wei Q, Shieh JS, Fourcade P, Isableu B, Majed L. Sample entropy, univariate, and multivariate multi-scale entropy in comparison with classical postural sway parameters in young healthy adults. Frontiers in human neuroscience. 2017;11:206. pmid:28491029
  41. 41. Collins JJ, De Luca CJ. Open-loop and closed-loop control of posture: a random-walk analysis of center-of-pressure trajectories. Experimental brain research. 1993;95(2):308–318. pmid:8224055
  42. 42. Yamamoto T, Smith CE, Suzuki Y, Kiyono K, Tanahashi T, Sakoda S, et al. Universal and individual characteristics of postural sway during quiet standing in healthy young adults. Physiological reports. 2015;3(3):e12329. pmid:25780094
  43. 43. Ruhe A, Fejer R, Walker B. The test–retest reliability of centre of pressure measures in bipedal static task conditions–a systematic review of the literature. Gait & posture. 2010;32(4):436–445. pmid:20947353
  44. 44. Winter DA. Human balance and posture control during standing and walking. Gait & posture. 1995;3(4):193–214.
  45. 45. Diener HC, Dichgans J, Bacher M, Gompf B. Quantification of postural sway in normals and patients with cerebellar diseases. Electroencephalography and clinical neurophysiology. 1984;57(2):134–142. pmid:6198154
  46. 46. Li L, Zhang S, Dobson J. The contribution of small and large sensory afferents to postural control in patients with peripheral neuropathy. Journal of sport and health science. 2019;8(3):218–227. pmid:31193300
  47. 47. Fitzpatrick R, McCloskey D. Proprioceptive, visual and vestibular thresholds for the perception of sway during standing in humans. The Journal of physiology. 1994;478(1):173–186. pmid:7965833
  48. 48. Fitzpatrick R, Rogers DK, McCloskey D. Stable human standing with lower-limb muscle afferents providing the only sensory input. The Journal of physiology. 1994;480(2):395–403. pmid:7869254
  49. 49. Meyer PF, Oddsson LI, De Luca CJ. The role of plantar cutaneous sensation in unperturbed stance. Experimental brain research. 2004;156(4):505–512. pmid:14968274
  50. 50. Poppele R, Bosco G. Sophisticated spinal contributions to motor control. Trends in neurosciences. 2003;26(5):269–276. pmid:12744844
  51. 51. Elias LA, Watanabe RN, Kohn AF. Spinal mechanisms may provide a combination of intermittent and continuous control of human posture: predictions from a biologically based neuromusculoskeletal model. PLoS computational biology. 2014;10(11):e1003944. pmid:25393548
  52. 52. Tokuno CD, Carpenter M, Thorstensson A, Garland S, Cresswell AG. Control of the triceps surae during the postural sway of quiet standing. Acta physiologica. 2007;191(3):229–236. pmid:17635414
  53. 53. Tokuno CD, Garland SJ, Carpenter MG, Thorstensson A, Cresswell AG. Sway-dependent modulation of the triceps surae H-reflex during standing. Journal of applied physiology. 2008;104(5):1359–1365. pmid:18369094
  54. 54. Chen YS, Zhou S. Soleus H-reflex and its relation to static postural control. Gait & posture. 2011;33(2):169–178. pmid:21211976
  55. 55. Katz R, Meunier S, Pierrot-Deseilligny E. Changes in presynaptic inhibition of Ia fibres in man while standing. Brain. 1988;111(2):417–437. pmid:3378143
  56. 56. Magalhães FH, Kohn AF. Effectiveness of electrical noise in reducing postural sway: a comparison between imperceptible stimulation applied to the anterior and to the posterior leg muscles. European journal of applied physiology. 2014;114(6):1129–1141. pmid:24563056
  57. 57. Rekling JC, Funk GD, Bayliss DA, Dong XW, Feldman JL. Synaptic control of motoneuronal excitability. Physiological reviews. 2000;80(2):767–852. pmid:10747207
  58. 58. Jankowska E. Spinal interneuronal systems: identification, multifunctional character and reconfigurations in mammals. The Journal of physiology. 2001;533(1):31–40. pmid:11351010
  59. 59. Pradat PF, Dupuis L. Neuroprotective Strategies in Amyotrophic Lateral Sclerosis: Modulation of Neurotransmittory and Neurotrophic Input to Motor Neurons. 2014.
  60. 60. Pierrot-Deseilligny Emmanuel. The Circuitry of the Human Spinal Cord: Spinal and Corticospinal Mechanisms of Movement. 1st ed. Cambridge University Press; 2012.
  61. 61. Heckman C, Johnson M, Mottram C, Schuster J. Persistent inward currents in spinal motoneurons and their influence on human motoneuron firing patterns. The Neuroscientist. 2008;14(3):264–275. pmid:18381974
  62. 62. Maurer C, Mergner T, Bolha B, Hlavacka F. Vestibular, visual, and somatosensory contributions to human control of upright stance. Neuroscience letters. 2000;281(2-3):99–102. pmid:10704752
  63. 63. Taube W, Schubert M, Gruber M, Beck S, Faist M, Gollhofer A. Direct corticospinal pathways contribute to neuromuscular control of perturbed stance. Journal of applied physiology. 2006;101(2):420–429. pmid:16601305
  64. 64. Gandevia SC, Proske U, Stuart DG. Sensorimotor control of movement and posture. vol. 508. Springer Science & Business Media; 2012.
  65. 65. Hanna-Boutros B, Sangari S, Giboin LS, El Mendili MM, Lackmy-Vallée A, Marchand-Pauvert V, et al. Corticospinal and reciprocal inhibition actions on human soleus motoneuron activity during standing and walking. Physiological reports. 2015;3(2):e12276. pmid:25825912
  66. 66. Gera G, Fling BW, Horak FB. Cerebellar white matter damage is associated with postural sway deficits in people with multiple sclerosis. Archives of Physical Medicine and Rehabilitation. 2020;101(2):258–264. pmid:31465761
  67. 67. Bosco G, Poppele R. Proprioception from a spinocerebellar perspective. Physiological reviews. 2001;81(2):539–568. pmid:11274339
  68. 68. Nitsche MA. Safety criteria for transcranial direct current stimulation (tDCS) in humans. Clin Neurophysiol. 2003;114:2220–2222. pmid:14580622
  69. 69. Cogiamanian F, Ardolino G, Vergari M, Ferrucci R, Ciocca M, Scelzo E, et al. Transcutaneous spinal direct current stimulation. Frontiers in psychiatry. 2012;3:63. pmid:22783208
  70. 70. Liebetanz D, Koch R, Mayenfels S, König F, Paulus W, Nitsche MA. Safety limits of cathodal transcranial direct current stimulation in rats. Clinical Neurophysiology. 2009;120(6):1161–1167. pmid:19403329
  71. 71. Albuquerque PL, Campêlo M, Mendonça T, Fontes LAM, Brito RdM, Monte-Silva K. Effects of repetitive transcranial magnetic stimulation and trans-spinal direct current stimulation associated with treadmill exercise in spinal cord and cortical excitability of healthy subjects: A triple-blind, randomized and sham-controlled study. PloS one. 2018;13(3):e0195276. pmid:29596524
  72. 72. Lenoir C, Jankovski A, Mouraux A. Anodal transcutaneous spinal direct current stimulation (tsdcs) selectively inhibits the synaptic efficacy of nociceptive transmission at spinal cord level. Neuroscience. 2018;393:150–163. pmid:30321585
  73. 73. Pereira M, Fernandes SR, Miranda PC, de Carvalho M. Neuromodulation of lower limb motor responses with transcutaneous lumbar spinal cord direct current stimulation. Clinical Neurophysiology. 2018;129(9):1999–2009. pmid:30041145
  74. 74. Ahmed Z. Trans-spinal direct current stimulation modifies spinal cord excitability through synaptic and axonal mechanisms. Physiological reports. 2014;2(9):e12157. pmid:25263206
  75. 75. World Medical Association, et al. World Medical Association Declaration of Helsinki. Ethical principles for medical research involving human subjects. Bulletin of the World Health Organization. 2001;79(4):373. pmid:11357217
  76. 76. Palm U, Reisinger E, Keeser D, Kuo MF, Pogarell O, Leicht G, et al. Evaluation of sham transcranial direct current stimulation for randomized, placebo-controlled clinical trials. Brain stimulation. 2013;6(4):690–695. pmid:23415938
  77. 77. Gordon Robertson JHGKSW Graham Caldwell. Forces and their Measurement. In: Research Methods in Biomechanics. Human Kinetics; 2004. p. 90.
  78. 78. Lafond D, Duarte M, Prince F. Comparison of three methods to estimate the center of mass during balance assessment. Journal of biomechanics. 2004;37(9):1421–1426. pmid:15275850
  79. 79. Gilfriche P, Deschodt-Arsac V, Blons E, Arsac LM. Frequency-specific fractal analysis of postural control accounts for control strategies. Frontiers in physiology. 2018;9:293. pmid:29643816
  80. 80. Pincus SM. Approximate entropy as a measure of system complexity. Proceedings of the National Academy of Sciences. 1991;88(6):2297–2301. pmid:11607165
  81. 81. Busa MA, van Emmerik RE. Multiscale entropy: A tool for understanding the complexity of postural control. Journal of Sport and Health Science. 2016;5(1):44–51. pmid:30356502
  82. 82. Zatsiorsky VM, Duarte M. Instant equilibrium point and its migration in standing tasks: rambling and trembling components of the stabilogram. Motor control. 1999;3(1):28–38. pmid:9924099
  83. 83. Field A. Discovering statistics using SPSS. 2de uitgawe; 2007.
  84. 84. de Lima F. [DATASET] Transcutaneous spinal direct current stimulation (tsDCS) does not affect postural sway during quiet upright standing. 2022.
  85. 85. Batsikadze G, Moliadze V, Paulus W, Kuo MF, Nitsche M. Partially non-linear stimulation intensity-dependent effects of direct current stimulation on motor cortex excitability in humans. The Journal of physiology. 2013;591(7):1987–2000. pmid:23339180
  86. 86. Learmonth G, Felisatti F, Siriwardena N, Checketts M, Benwell CS, Märker G, et al. No interaction between tDCS current strength and baseline performance: A conceptual replication. Frontiers in Neuroscience. 2017;11:664. pmid:29249932
  87. 87. Esmaeilpour Z, Marangolo P, Hampstead BM, Bestmann S, Galletta E, Knotkova H, et al. Incomplete evidence that increasing current intensity of tDCS boosts outcomes. Brain stimulation. 2018;11(2):310–321. pmid:29258808
  88. 88. Vignaud P, Mondino M, Poulet E, Palm U, Brunelin J. Duration but not intensity influences transcranial direct current stimulation (tDCS) after-effects on cortical excitability. Neurophysiologie Clinique. 2018;48(2):89–92. pmid:29482881
  89. 89. Hoy KE, Emonson MR, Arnold SL, Thomson RH, Daskalakis ZJ, Fitzgerald PB. Testing the limits: investigating the effect of tDCS dose on working memory enhancement in healthy controls. Neuropsychologia. 2013;51(9):1777–1784. pmid:23751169
  90. 90. Jamil A, Batsikadze G, Kuo HI, Labruna L, Hasan A, Paulus W, et al. Systematic evaluation of the impact of stimulation intensity on neuroplastic after-effects induced by transcranial direct current stimulation. The Journal of physiology. 2017;595(4):1273–1288. pmid:27723104
  91. 91. Bear M, Connors B, Paradiso MA. Neuroscience: Exploring the Brain, Enhanced Edition: Exploring the Brain. Jones & Bartlett Learning; 2020.
  92. 92. Pierrot-Deseilligny E, Burke D. The circuitry of the human spinal cord: its role in motor control and movement disorders. Cambridge university press; 2005.
  93. 93. de Lima FF. Efeito da estimulação transcutânea da medula espinhal por corrente contínua (tsDCS) nas oscilações posturais durante a postura ereta ortostática em seres humanos. Escola Politécnica, Universidade de São Paulo; 2020.
  94. 94. Hubli M, Dietz V, Schrafl-Altermatt M, Bolliger M. Modulation of spinal neuronal excitability by spinal direct currents and locomotion after spinal cord injury. Clinical Neurophysiology. 2013;124(6):1187–1195. pmid:23415451
  95. 95. Kabakov AY, Muller PA, Pascual-Leone A, Jensen FE, Rotenberg A. Contribution of axonal orientation to pathway-dependent modulation of excitatory transmission by direct current stimulation in isolated rat hippocampus. Journal of neurophysiology. 2012;107(7):1881–1889. pmid:22219028
  96. 96. Lim CY, Shin HI. Noninvasive DC stimulation on neck changes MEP. Neuroreport. 2011;22(16):819–823.
  97. 97. Niérat MC, Similowski T, Lamy JC. Does trans-spinal direct current stimulation alter phrenic motoneurons and respiratory neuromechanical outputs in humans? A double-blind, sham-controlled, randomized, crossover study. Journal of Neuroscience. 2014;34(43):14420–14429. pmid:25339753
  98. 98. Dongés SC, D’Amico JM, Butler JE, Taylor JL. The effects of cervical transcutaneous spinal direct current stimulation on motor pathways supplying the upper limb in humans. PloS one. 2017;12(2):e0172333. pmid:28225813
  99. 99. Smith SS, Cheng T, Kerr GK. The effect of extended wake on postural control in young adults. Experimental brain research. 2012;221(3):329–335. pmid:22821076
  100. 100. Maki B, Mcllroy W. Influence of arousal and attention on the control of postural sway. Journal of Vestibular Research. 1996;6(1):53–59. pmid:8719510
  101. 101. Jorgensen M, Rathleff MS, Laessoe U, Caserotti P, Nielsen OBF, Aagaard P. Time-of-day influences postural balance in older adults. Gait & posture. 2012;35(4):653–657. pmid:22390960
  102. 102. Hunter MC, Hoffman MA. Postural control: visual and cognitive manipulations. Gait & Posture. 2001;13(1):41–48. pmid:11166553
  103. 103. Siedlecka B, Sobera M, Sikora A, Drzewowska I. The influence of sounds on posture control. Acta of bioengineering and biomechanics. 2015;17(3):95–102. pmid:26685979
  104. 104. Hodgson CI. The Effects of Acute Cold Exposure on Human Postural Control. University of Southampton/Chichester; 2014.
  105. 105. Krishnamoorthy V, Slijper H, Latash ML. Effects of different types of light touch on postural sway. Experimental Brain Research. 2002;147(1):71–79. pmid:12373371
  106. 106. Priplata A, Niemi J, Salen M, Harry J, Lipsitz LA, Collins J. Noise-enhanced human balance control. Physical review letters. 2002;89(23):238101. pmid:12485044
  107. 107. Martinelli AR, Coelho DB, Magalhães FH, Kohn AF, Teixeira LA. Light touch modulates balance recovery following perturbation: from fast response to stance restabilization. Experimental Brain Research. 2015;233(5):1399–1408. pmid:25644655