Spatially Distributed Sequential Stimulation Applied to the Paralyzed Quadriceps Muscles while Performing Motor-assisted FES Cycling

Spatially Distributed Sequential Stimulation Applied to the Paralyzed Quadriceps Muscles while Performing Motor-assisted FES Cycling | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Spatially Distributed Sequential Stimulation Applied to the Paralyzed Quadriceps Muscles while Performing Motor-assisted FES Cycling Petar Kajganic, Ehsan Jafari, Amine Metani, Lana Popović-Maneski, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6769883/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 28 Nov, 2025 Read the published version in Journal of NeuroEngineering and Rehabilitation → Version 1 posted 12 You are reading this latest preprint version Abstract Spatially distributed sequential stimulation (SDSS) demonstrated greater fatigue-reducing ability and power output when performing isometric or isokinetic contractions of the paralyzed quadriceps muscles compared to the equivalent conventional functional electrical stimulation (FES) in a single electrode stimulation (SES) configuration. The present study aims to systematically assess the power output and fatigue-reducing properties of SDSS versus SES applied to the paralyzed quadriceps muscles of subjects performing motor-assisted FES cycling. Four subjects without lower-limb motor function participated in two multiday experimental sessions. Each experimental session involved two stimulation phases, one with SDSS and one with SES configuration. The results of the present study show that muscles stimulated with SDSS produced significantly higher mean power values while inducing a similar amount of muscle fatigue compared to SES. These findings suggest that SDSS can be superior to SES when applied to paralyzed muscles of the subjects performing FES cycling using moderate-intensity stimulation. Further research is needed to explore applications of SDSS on FES cycling, and FES exercise in general, over longer stimulation sessions under high-intensity stimulation conditions. Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Introduction Transcutaneous neuromuscular electrical stimulation is a technique that provides a means of inducing contractions in paralyzed muscles. Electrical pulses are delivered through surface electrodes placed on the skin in the proximity of the motor point of the stimulated muscle. The electrical fields generated between the electrodes can trigger the adjacent motor neurons creating an action potential resulting in muscle contraction [ 1 ]. Functional electrical stimulation (FES) is a rehabilitation method of coordinating muscle activations to produce functional movement [ 2 ] such as cycling [ 3 – 6 ], rowing [ 7 , 8 ] or walking [ 9 , 10 ]. FES exercise is a valuable tool for preventing secondary complications associated with various types of motor disabilities such as spinal cord injury (SCI) [ 11 ], multiple sclerosis (MS) [ 12 ] and stroke [ 13 ]. In particular, regular FES cycling exercise has been shown to improve cardiorespiratory fitness [ 14 , 15 ], bone density [ 16 ] and muscle mass [ 17 , 18 ] which may reduce the risk of pressure sores [ 19 ] contributing to the quality of life of people with SCI. Despite the health benefits, FES is not widespread in clinical or home use [ 20 ]. Aside from the high cost, this is a consequence of the limitations of the technology, mainly the rapid onset of muscle fatigue and low output power generated by the stimulated muscles. Maintaining high output force levels for prolonged periods is necessary for performing functional tasks. Voluntary muscle contractions are achieved by recruiting motor units based on their size, from smaller axons that innervate slow fatigue-resistant muscle fibers to larger axons innervating fast, easily fatigable muscle fibers [ 21 ]. As the size of an axon defines the axon’s activation threshold, electrical stimulation is more likely to activate larger axons resulting in an earlier onset of muscle fatigue [ 22 ]. Moreover, conventional electrical stimulation, also termed single electrode stimulation (SES), referring to a single cathode electrode, repeatedly activates the same motor units with every stimulation pulse whereas, during voluntary contractions, motor units are randomly activated resulting in longer periods of rest for each motor unit. Instead of using a single cathode electrode, stimulation can be distributed across multiple smaller cathode electrodes, each activating different motor units at lower frequencies while maintaining a strong, fused muscle contraction, more akin to natural contractions. This approach, termed spatially distributed sequential stimulation (SDSS), delivers pulses typically through four small closely spaced electrodes placed over the same area as the SES electrode, although designs can substantially vary from one study to the other [ 23 – 25 ].In the design used in the current study, individual electrodes are one-fourth of the SES electrode size and deliver the stimulation at one-fourth of the typical SES frequency (10-15Hz) with an implemented 90º phase shift between the electrodes. This method was shown to be effective at reducing muscle fatigue when the electrodes are placed over the same muscle belly or muscle group [ 24 , 26 – 34 ]. Despite the fact that some studies on the paralyzed quadriceps muscles performing isometric [ 23 , 27 , 35 ] or isokinetic [ 24 , 34 ] contractions reported either significant or slight gains in favor of SDSS versus SES, the benefits of applying SDSS to a functional task such as FES cycling have not been extensively explored, and show contradicting results. During these types of activities, the muscles and motor points are constantly moving relative to the electrodes that are attached to the skin surface which may negate any benefits observed during isometric and simple, highly repetitive movements. To the best of our knowledge, only three studies have investigated the effects of SDSS when performing FES exercise. Ye et al. [ 36 ] have reported that SDSS applied to the quadriceps muscles of able-bodied subjects reduced muscle fatigue while performing FES rowing. The other two studies [ 37 , 38 ] were conducted on the quadriceps muscle groups of a single SCI subject in preparation for the Cybathlon FES cycling race (an international sporting event for handicapped individuals). However, the studies report conflicting results. Baptisia et al. [ 37 ] demonstrated better performance of SDSS while Ceroni et al. [ 38 ] found SES to be superior. That said, both studies involved multiple varying and uncontrolled parameters and Ceroni et al. investigated four different stimulation strategies, both of which complicate drawing definitive conclusions. The aim of the present study was to systematically assess the power output and fatigue-reducing properties of SDSS versus SES applied to the paralyzed quadriceps muscles of subjects without voluntary lower-limb motor function, performing a controlled motor-assisted FES cycling task. Our recent isometric study [ 39 ] allowed us to have an in-depth understanding of the influence of electrode placement and stimulation parameters on the performance of SDSS. In this study, we concluded that the superior force output and fatigue resistance of SDSS over SES is notably diminished with the increase of stimulation intensity delivered to the paralyzed quadriceps muscles. With this knowledge, we have designed a systematic study protocol to determine if SDSS provides similar benefits to those seen in isometric studies when applied to performing FES cycling exercises. As nearly all FES stationary cycling exercise devices are equipped with motor assistance to help prolong the exercise experience for individuals who do not have enough strength to cycle only with FES, we have conducted our experiments under motor-assisted conditions. This also helped us to conduct the experiments systematically under constant cadence conditions. Methods Subjects Three adult male subjects with lower-limb motor-complete spinal cord injury and one adult male with multiple sclerosis (MS) participated in the study. The subject with multiple sclerosis (P4) cannot produce voluntary muscle contractions in the lower limbs. All subjects had previous experience with FES of the quadriceps muscle group, three of whom had participated in our previous study involving SDSS [ 39 ]. To mitigate the effects of residual fatigue, all subjects were asked to refrain from using FES for at least 48 hours before each experiment was conducted. The exclusion criteria stipulated that the subjects must not have sustained lower limb fractures within the past year or have open wounds or rashes on the skin surface where the electrodes would be placed. Additional information about the subjects is provided in Table 1 and Table 2 . Before participating, the subjects were provided with a detailed description of the study's purpose and testing procedures. Each subject provided written informed consent. The project was conducted in accordance with the Declaration of Helsinki, approved by the local Institutional Review Board and registered at ClinicalTrials.gov (NCT06421753). Table 1 The demographic and clinical characteristics of subjects with spinal cord injury. Subjects Age Injury ASIA Time after spinal cord injury (years) Previous FES experience Current FES training P1 46 C7-C8 B 11 Yes No P2 30 C5-C6 B 6 Yes Yes P3 59 C6-C7 A 6 Yes Yes Table 2 Clinical characteristics of the subject with multiple sclerosis. Subject Age EDDS MS type Disease duration (years) Previous FES experience Current FES training P4 38 8 Progressive 11 Yes No Measurement instrumentation The experiments were performed on the custom-made instrumented cycling ergometer platform (ICEP) [ 40 ]. The wall-mounted platform consists of a modified bicycle frame carrying force-torque measuring pedals (ICS-RM, Sensix, France), a magnetic ring encoder (LM13, RLS, Slovenia) and a motorized actuator system (EC60 Flat, Maxon Motor AG, Switzerland). The actuator system was designed to assist the subjects with maintaining a constant cycling cadence which can be set using a custom-made LabVIEW program. Each pedal measures all three components (x-y-z axis) of the force and torque applied to their surface, as well as the inclination angle of the pedal in reference to the crank arm. Measured forces, paired with the crank angle data acquired with the ring encoder are saved in a text file for later processing. A crank angle of 0° is achieved when the left crank arm is in the forward position and parallel to the ground. A more detailed description of the cycling ergometer and the measurement setup is available in our previous publication [ 40 ]. Subjects were seated on a modified recumbent tricycle (Carbontrikes, Sweden) with their legs firmly attached to the force-measuring pedals using modified leg orthoses (Hase Bikes, Germany). The trike was secured to the cycling platform with a retractor system. The distance between the trike and the platform was measured to ensure an identical sitting position between the experimental sessions for each subject. An illustration of the experimental setup is provided in Fig. 1 . A PC-controlled 8-channel MotiMove stimulator [ 41 ] (3F-Fit Fabricando Faber, Serbia) was used to deliver asymmetric biphasic pulses to the paralyzed quadriceps muscles. The stimulator was synchronized with a crank encoder using a data acquisition card (PCI-6009, National Instruments, USA). A graphical user interface was implemented to set the stimulation parameters, cycling cadence and the crank angle ranges during which the stimulation was applied. SDSS was created by connecting Anti-Fatigue Unit (AFU, 3F-Fit Fabricando Faber, Serbia) devices to the cathodes of two stimulation channels (one per leg). AFU devices distribute incoming pulses from one single channel, sequentially over four different output lines connected to four separate electrodes, see Fig. 2 . Electrode placement Four self-adhesive surface electrodes (Compex Dura-Stick plus) were placed distally (cathodes) while the reference electrode (anode) was placed proximally over the quadriceps muscle groups. The chosen electrode configuration was identical to the configuration used in the prior isometric study conducted on the quadriceps muscle groups [ 39 ]. Before applying the electrodes, the skin was cleaned and proximal and distal motor points of rectus femoris (RF) muscles were found using the measured anatomic landmarks [ 42 ]. Motor points were marked with an indelible marker pen to ensure identical electrode placement across the experimental sessions. The proximal electrode was made by connecting two electrodes to the anode of the same stimulation channel thus creating an electrode with an effective surface area of 5 x 14 cm 2 . Electrodes used for the anode were a 5 x 5 cm 2 electrode placed on the proximal motor point of RF muscle and a 5 x 9 cm electrode placed laterally, to the side of the 5 x 5 electrode (see Fig. 2 ). Distal (cathode) electrodes, with a surface area of 5 x 5 cm 2 each, were placed as close as possible to each other, to form a 2x2 matrix just under the distal motor point of the RF muscle. Positions of the electrodes were confirmed or modified based on visual observations and gentle touch of the muscle contraction resulting from a short train of pulses sent to each electrode separately. To minimize fatigue, the pulses used were slightly above the motor threshold. The electrode configuration is illustrated in Fig. 2 . The described electrode configuration was used for both SDSS and SES. Unlike previous studies that explored the topic of SDSS, in the SES mode, all four distal electrodes were connected to the cathode of the same stimulation channel effectively making them into one large electrode. This was done so that the electrode positioning and the area covered by the electrodes remained identical during SES and SDSS, to ensure a fair comparison. In the SDSS mode, each distal electrode was connected to a different output channel of the AFU device. Stimulation parameters In our previous study [ 39 ], we found that moderate-intensity SDSS has more pronounced benefits than high-intensity SDSS in terms of fatigue resistance and power produced. Thus, the electrical stimulation parameters used for SES and SDSS were set identically to the moderate stimulation parameters defined in the previous study and were kept constant throughout the experiments. The stimulation pulse width was set to 400 µs and the frequency was 48 Hz for SES and 12 Hz per channel (12 x 4 = 48) for SDSS; thus, providing a composite frequency of 48 Hz, maintaining coherence in both experimental cases. The moderate stimulation intensity was calculated for each subject as the mean value of their motor threshold and the maximum stimulation intensity which was restricted to 130 mA. In no case did a subject experience pain during stimulation. An angular range of 130° was chosen for the stimulation of each set of quadriceps muscles. As the motor assistance was kept at a constant cycling cadence, having a set angular range of stimulation ensured an equal time-period of stimulation between subjects and sessions. Once the subject was properly positioned, to determine the optimal stimulation patterns that produce the maximum force on the pedals, a comparison between the forces produced during passive cycling (motor-assisted cycling with the cadence of 50 rpm without muscle stimulation) and active cycling (motor-assisted FES cycling at 50 rpm) was made. For active cycling, stimulation pulses of moderate intensity SES or SDSS were constantly sent to the muscles over a complete revolution of the crank. We refer to the difference in the force measured between the active and passive cycling over a full revolution as the muscle force profile (MFP) and it represents the forces produced by the stimulated muscle group on the pedals over the entire crank revolution [ 40 ]. By analyzing the MFP and adhering to the chosen angular range of 130º, the optimal initialization (INIT) and termination (TERM) stimulation angles for producing the maximum force from the quadriceps muscles were determined (i.e., the 130° angle range was simply overlaid the MFP for each subject and the intersection of the two were used for INIT and TERM). However, to ensure that the muscles are activated at the correct position, the INIT angle needs to be shifted to compensate for the delay introduced by the measuring equipment (1 ms), the electrical stimulator delay (time lag between the command to generate an electrical pulse reaches the simulator and the electrical pulse being generated – 3.2 ms) and the muscle activation delay (time required for the muscle to produce tension after the electrical pulse reaches the motor nerve). The required angular shift depends on the cycling cadence, and it can be calculated using Eq. 1, or it can be directly measured by comparing passive forces and active forces produced by the muscle stimulated between the determined INIT and TERM angles. The required angular shift is the angular difference between the INIT angle, set in the LabView control interface, and the angle where the muscle produces a noticeable force. The TERM angle needs to be compensated only for the delay introduced by the system and the stimulator which can be calculated using Eq. 2. $$\:\begin{array}{c}\varDelta\:{\theta\:}_{i}=\frac{\left(D+{D}_{s}+EMD\right)\times\:360}{60}\omega\:\\\:\left(1\right)\end{array}$$ $$\:\begin{array}{c}\varDelta\:{\theta\:}_{t}=\frac{\left(D+{D}_{s}\right)\times\:360}{60}\omega\:\\\:\left(2\right)\end{array}$$ where ∆θ represents the angular shift [°], EMD is the muscle activation delay [s], D is the delay of the measuring equipment [s], D S is the delay of the electrical stimulator [s] and ω is the cycling cadence [rpm]. The required angular shifts were applied to the determined INIT and TERM angles to obtain the delay-compensated stimulation pattern. The process described for obtaining the INIT and TERM angles for each muscle and delay compensation was based on our previous study determining optimal stimulation patterns for motor-assisted FES cycling [ 40 ]. Experimental protocol Each subject participated in two experimental sessions separated by at least 48 hours. Within each experimental session, quadriceps muscle groups of both legs were stimulated with SDSS and SES separated by a 15-minute break. To ensure that there was no systematic influence of possible residual fatigue using a certain type of stimulation, the order of stimulation type was chosen at random for the first experimental session and inverted for the second experimental session (i.e., SDSS then SES versus SES then SDSS or SES then SDSS versus SDSS then SES). The cycling cadence was set to 50 rpm. Preliminary experiments were conducted to ensure equivalent experimental conditions were achieved each day. The stimulation patterns were determined for each subject as described above. To conduct preliminary measurements, we began by determining the moderate stimulation intensity calculated based on the measured motor threshold. Following this step, a 1-minute warm-up (passive cycling) period was carried out. The MFP was then recorded using the calculated moderate intensity, and the optimal stimulation pattern was determined by overlaying the chosen 130° angle range providing the subject’s INIT and TERM angles for the experiments. After a 10-minute rest period, another 1-minute warm-up was performed followed by the procedure described earlier for measuring the angular shift at a cycling cadence of 50 rpm. The required angular shift was applied, and the resulting delay-compensated INIT and TERM angles were used throughout the experimental sessions. For each subject, the moderate intensity and the delay-compensated INIT and TERM angles were measured before each experimental session to ensure that the sitting and electrode positions did not influence the results. A notable difference between the calculated values would indicate that the sitting or electrode position needs to be adjusted. After a 10-minute break period following the preliminary measurements, the actual experimental session commenced with a 3-minute warm-up phase followed by a 3-minute stimulation phase. During warm-up, the motor passively turned the legs, and the electrical stimulation was off. The set cycling cadence of 50 rpm was gradually achieved (1 rpm increase per second) in the first minute of warm-up and maintained throughout the rest of the warm-up and stimulation phases (represented by a blue line in Fig. 3 ). During the stimulation phase, SES or SDSS was applied to both quadriceps muscle groups while the actuator system assisted with keeping the cadence constant. After a 15-minute break, during which both the motor and the stimulation were off, another 3-minute warm-up and stimulation phases were performed using the opposite type of stimulation (SDSS or SES). After at least 48h, the preliminary measurements and the second experimental session were repeated using the inverse order of the stimulation phases. The protocol is illustrated in Fig. 3 . Data collection and analysis Power was calculated as the product of the angular velocity, crank arm length and the tangential component of the force acquired by each pedal. The mean power during each warm-up phase (after the set cadence was reached) was subtracted from the power produced during the subsequent stimulation phase to calculate the power produced only by the stimulated muscles (P). The total mean power (P m ) for each stimulation phase was assessed. A “fatigue index” (FI) was used as a measure of induced muscle fatigue. Based on the mean power produced in the first (P F ) and last (P L ) 30s of each stimulation phase (Fig. 3 ), the fatigue index was calculated according to the following equation: $$\:\begin{array}{c}FI=100\times\:\frac{{P}_{F}-{P}_{L}}{{P}_{F}}\left[\text{%}\right]\\\:\left(3\right)\end{array}$$ This fatigue index corresponds to the percentage of muscle fatigue over the 3-minute stimulation period (i.e., FI = 0 means no muscle fatigue while FI = 1 describes completely fatigued muscles). All data analysis was done using MATLAB (MathWorks Inc, USA). Differences between SES and SDSS for each session for total mean power (P m ) and fatigue index (FI) were tested for normality using the Shapiro-Wilk test. A two-tailed paired t-test for normally distributed data was applied to test for significant differences between the means, and Cohen’s d-values were used to indicate the effect size. P-values lower than 0.05 indicated statistical significance. Data were presented using Gardner-Altman plots with the addition of 95% confidence intervals (CI) of the means of each group [ 43 ]. Results Overall outcomes The mean power produced by the paralyzed quadriceps muscles stimulated using SDSS (10.5 W ± 1.2 W) was significantly higher compared to SES (4.3 W ± 1.4 W), as demonstrated by the paired t-test ( p < 0.001, d = 4.7). However, the paired t-test did not reveal a significant difference (p = 0.342, d = 0.37) between the FI resulting from SDSS (68.9% ± 8%) and SES (73.3% ± 14.6%) stimulation phases. The mean power produced, and the fatigue index values of each stimulation phase are displayed in Fig. 4 . Power versus time graphs for each stimulation phase of each subject are shown in Fig. 5 while the overall summary of the results, along with the simulation parameters, are presented in Table 3 . Individual cases Case 1 Subject P1 had ample experience with FES of the quadriceps muscles as he had participated in the 2016 and 2020 editions of Cybathlon’s FES cycling races. Even though not involved in regular FES strength training at the time of the study, the muscle strength remained high. No co-contractions or muscle spasms were observed or reported by the subject during the measurements. The power produced by the left and right quadriceps muscle groups during the first and second experimental sessions is shown in Fig. 5 . Stimulation parameters and the results for both experimental sessions are presented in Table 3 . Case 2 Subject P2 was undergoing FES-cycling strength training at the time of the study (twice per week). The subject did not perform FES exercise for at least 48 hours before the experimental sessions. Due to the issues with the actuator system, the stimulation intensity used throughout the experimental sessions was lowered from the calculated 70 mA to 60 mA. In both experimental sessions, during the first warm-up phase, spastic leg activations were observed. During the stimulation phases, no muscle spasms were observed or reported by the subject. However, from the power recorded during the first experimental session provided in Fig. 5 (c), it can be seen that small spastic contractions occurred. The power produced by the left and right quadriceps muscle groups during the first and second experimental sessions is shown in Fig. 5 . Stimulation parameters and the results for both experimental sessions are presented in Table 3 . Case 3 Subject P3 was undergoing FES-cycling strength training at the time of the study (once per week). The subject did not perform any FES exercise for at least 48 hours before the experimental sessions. No co-contractions or muscle spasms were observed or reported by the subject during the measurements. The power produced by the left and right quadriceps muscle groups during the first and second experimental sessions is shown in Fig. 5 . Stimulation parameters and the results for both experimental sessions are presented in Table 3 . Case 4 Subject P4 has multiple sclerosis, an EDDS score of 8, and was unable to achieve voluntary muscle contractions in the lower limbs, but some sensory functions remained. The subject had prior experience with FES of the quadriceps muscles but was not involved in FES cycling training at the time of the study. During the beginning of the second SES stimulation phase, the subject reported a brief spastic activation of the hamstring muscles. Later data analysis showed an 8-second-long spasm that was likely triggered by the onset of the stimulation. Two data analyses were conducted, one considering and one disregarding the first 8 seconds of the second SES stimulation phase (results are provided in Table 3 ). In the latter case, the stimulation phase was considered to have begun after the spastic activation of the muscles had been finished, i.e., the stimulation phase was 172 seconds long. The power produced by the left and right quadriceps muscle groups during the first and second experimental sessions (with discarded spastic muscle activation) is presented in Fig. 5 . Discussion The goal of the present work was to compare the power output and the fatigue-reducing properties of spatially distributed sequential stimulation versus the traditional single electrode stimulation applied to the paralyzed quadriceps muscle groups of subjects performing motor-assisted FES cycling. From prior isometric [ 23 , 27 , 35 ] and isokinetic studies [ 24 , 34 ], better performance of SDSS compared to SES could have been expected. However, the only two studies that have compared SDSS to SES with SCI subjects performing FES cycling were reported with contrasting results [ 37 , 38 ]. Both studies were conducted in preparation for the Cybathlon FES cycling race on the paralyzed quadriceps muscles of a single subject, and in neither case was there motor assistance to maintain constant cycling cadence. Although these studies represent a more practical “real-life” test of SDSS application in FES cycling, in a racing situation where motor assistance is not allowed, they involve a multitude of varying parameters such as stimulation intensity and cycling cadence which make drawing unambiguous conclusions difficult. In that regard, we have purposely designed a protocol where the number of variables is minimal to systematically evaluate the efficacy of SDSS versus SES. For instance, stimulation parameters, stimulation time and cycling cadence were kept constant. Furthermore, our study was designed for FES cycling in rehabilitation and exercise conditions which typically have motor-assisted compensation to allow for smooth cycling at a constant cadence. We also note that an isometric study was conducted to examine the influence of the electrode placement and the stimulation parameters (specifically intensity) on the efficacy of SDSS [ 39 ]. Subsequently, we chose parameters that produced the optimal conditions for SDSS. Additionally, in contrast to the protocol in [ 37 ], each experimental session involved both stimulation phases (SES and SDSS) allowing for a direct comparison of the tested stimulation methods, circumventing the common challenge of variations in the subject’s strength and seating position over multiday tests. Under moderate electrical stimulation conditions, paralyzed quadriceps muscle groups produced significantly more power when stimulated with SDSS compared to SES. This was the outcome of each experimental session regardless of the subject, the stimulated leg or the order of the stimulation phases (SES then SDSS versus SDSS then SES). When analyzing individual cases, it can be noticed that subject P3 produced negative power with the right leg during a part of the first SES stimulation phase. After closer inspection of the recorded forces, it was observed that the right quadriceps muscle group was completely fatigued, producing little to no force during the crank angle interval where the stimulation was operational. However, during the interval where the muscle was not stimulated, the recorded force did not perfectly match the reference force (force measured during the warm-up phase). We believe that this small discrepancy is most likely caused by a change of position of the leg in reference to the pedal, which appeared as a hindering force that resulted in a negative power value (Fig. 5 (e)). Another point of discussion is the occurrence of spastic muscle activation during the second SES stimulation phase of the subject’s P4 quadriceps muscle groups. After processing the data containing (SES SP ) and excluding (SES) the spastic activation of the muscles, it was evident that there was no noteworthy difference between P m , P F , P L and FI values (Table 3 ). Thus, it was decided to exclude the first 8 seconds of data from the second SES stimulation phase. There is a possibility that the spastic activity altered the performance of the muscles. However, it is unlikely that the power produced during the second SES stimulation phase would be augmented to the degree that would impact the overall results of the experiment, especially when considering the results of the first experimental session. No significant difference in fatigue index between SDSS and SES was observed. One subject experienced slightly more fatigue while three subjects showed slightly better fatigue resistance with SDSS (Fig. 4 (b) and Table 3 ). Coupled with the high power produced during the last 30 seconds of each of the stimulation phases (P L ), the results suggest that SDSS might have better fatigue characteristics than SES. Further investigation with more subjects and perhaps a different study design with longer stimulation phases is needed to draw statistically supported conclusions. The overall outcome of the present work was that paralyzed quadriceps muscle groups stimulated with moderate electrical stimulation intensity SDSS produced significantly more power without significantly changing the level of muscle fatigue compared to the equivalent SES stimulation while performing motor-assisted FES cycling. From the consensus of isometric studies comparing SDSS to SES, better performance of SDSS was expected under the conditions tested. Baptista et al. [ 37 ] reported modest benefits of SDSS whereas in the present study, the benefits of SDSS are much greater despite both studies stimulating the same muscle groups with a similar electrode configuration. This result may be due to the contrast in study protocols but the outcome of our previous work [ 39 ] suggests an alternative explanation. It was concluded that the efficacy of SDSS drops with the increase in electrical stimulation intensity. Indeed, in the present study, moderate stimulation intensity was used to test if SDSS can outperform SES when applied to FES cycling under optimal conditions. Baptista et al. used higher stimulation intensities which were increased as their study progressed. The same reasoning, supported by Schmoll et al. [ 25 ], can explain the opposite result (worse performance of SDSS compared to SES) reported by Ceroni et al. [ 38 ]. Applying high stimulation intensities when performing FES cycling with SDSS should be further investigated. Repeating the present study using high stimulation intensities would more rigorously test the performance of SDSS applied to FES cycling under suboptimal conditions and it would provide new insight into the efficacy of SDSS versus SES at different stimulation intensities [ 25 , 39 ]. Additionally, further investigation exploring the more practical use of SDSS applied to FES cycling should be conducted. Using a similar setup in a closed-loop configuration, the output power can be kept constant by modulating the stimulation intensity. A protocol design around the aforementioned setup would provide a better assessment of the fatigue characteristics of SDSS. Another important factor for practical use is the electrode placement. Based on our previous work [ 39 ], we have concluded that placing a 2x2 matrix of cathode electrodes just under the distal motor point of the RF muscle might be the optimal electrode configuration for the stimulation of the quadriceps muscle groups. This is supported by the results of the present study and work done by Baptista et al. [ 37 ]. However, the exact position for each electrode was found through trial and error. Each electrode was activated separately in order to verify that the muscle achieved a fused contraction. This process requires experience with SDSS, and it can take up to 15 minutes which is unreasonable for any clinical or personal use. Further examination of the electrode placement for SDSS applied to FES cycling should be conducted to determine more general and simpler guidelines for electrode placement. Conclusion The present study demonstrated that, under the right conditions, SDSS can be superior to SES for performing motor-assisted FES cycling. Paralyzed quadriceps muscle groups stimulated with moderate electrical stimulation intensity SDSS produced significantly more power with lower or equal levels of muscle fatigue than the equivalent SES stimulation while performing motor-assisted FES cycling. Further studies should assess the efficacy of SDSS under suboptimal conditions and develop long-term training strategies suitable for clinical use. Declarations Ethics approval and consent to participate The project was conducted in accordance with the Declaration of Helsinki, approved by the local Institutional Review Board, and registered at ClinicalTrials.gov (NCT06421753). In addition, written informed consent was obtained from all subjects. The participants were assured that their information would only be used for analysis in this study. All methods were carried out under relevant guidelines and regulations. Consent for publication Not applicable as all participants have been de-identified. Competing interests The authors declare no competing interests. Availability of data and materials The data are available on request from the corresponding author. Funding Funds for the realization of this work were partly provided by the Ministry of Science, Technological Development and Innovation (MoSTDI) of the Republic of Serbia, Agreement on realization and financing of scientific research work of the Institute of Technical Sciences of SASA in 2024 (Record number: 451-03-66/2024-03/200175). Authors' contributions All authors contributed to the conception and design of the study. PK and EJ acquired the data and performed the data analysis, interpreted the results and drafted the manuscript. All authors revised the manuscript and approved the submitted version. Acknowledgements We are grateful to Oussama Abdoun for his help with the statistical analysis and to Adam Sunturlic for the graphical representation of the experimental setup. References Baker LL. Neuromuscular electrical stimulation: a practical guide. 4th edition. Downey, Calif.: Los Amigos Research & Education Institute, Rancho Los Amigos National Rehabilitation Center; 2000. 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Stein RB, Everaert DG, Thompson AK, Chong SL, Whittaker M, Robertson J, et al. Long-term therapeutic and orthotic effects of a foot drop stimulator on walking performance in progressive and nonprogressive neurological disorders. Neurorehabil Neural Repair. 2010;24:152–67. Miller L, McFadyen A, Lord AC, Hunter R, Paul L, Rafferty D et al. Functional Electrical Stimulation for Foot Drop in Multiple Sclerosis: A Systematic Review and Meta-Analysis of the Effect on Gait Speed. Arch Phys Med Rehabil [Internet]. 2017 [cited 2025 Apr 11];98:1435–52. Available from: https://www.sciencedirect.com/science/article/pii/S0003999317300035 Ye G, Grabke EP, Pakosh M, Furlan JC, Masani K. Clinical Benefits and System Design of FES-Rowing Exercise for Rehabilitation of Individuals with Spinal Cord Injury: A Systematic Review. Arch Phys Med Rehabil. 2021;102:1595–605. Scally JB, Baker JS, Rankin J, Renfrew L, Sculthorpe N. 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Arch Phys Med Rehabil [Internet]. 1999 [cited 2025 Apr 11];80:1531–6. Available from: https://www.archives-pmr.org/article/S0003-9993(99)90326-X/abstract Smit CAJ, de Groot S, Stolwijk-Swuste JM, Janssen TWJ. Effects of Electrical Stimulation on Risk Factors for Developing Pressure Ulcers in People with a Spinal Cord Injury: A Focused Review of Literature. Am J Phys Med Rehabil [Internet]. 2016 [cited 2025 Apr 11];95:535. Available from: https://journals.lww.com/ajpmr/abstract/2016/07000/effects_of_electrical_stimulation_on_risk_factors.7.aspx Bersch I, Tesini S, Bersch U, Frotzler A. Functional Electrical Stimulation in Spinal Cord Injury: Clinical Evidence Versus Daily Practice. Artif Organs. 2015;39:849–54. Henneman E, Somjen G, Carpenter DO. Excitability and inhibitability of motoneurons of different sizes. J Neurophysiol. 1965;28:599–620. Bickel CS, Gregory CM, Dean JC. Motor unit recruitment during neuromuscular electrical stimulation: a critical appraisal. Eur J Appl Physiol. 2011;111:2399–407. Malešević NM, Popović LZ, Schwirtlich L, Popović DB. Distributed low-frequency functional electrical stimulation delays muscle fatigue compared to conventional stimulation. Muscle Nerve [Internet]. 2010 [cited 2025 Apr 15];42:556–62. Available from: https://onlinelibrary.wiley.com/doi/abs/10.1002/mus.21736 Laubacher M, Aksoez EA, Brust AK, Baumberger M, Riener R, Binder-Macleod S et al. Stimulation of paralysed quadriceps muscles with sequentially and spatially distributed electrodes during dynamic knee extension. J NeuroEngineering Rehabil [Internet]. 2019 [cited 2025 Apr 15];16:5. Available from: https://doi.org/10.1186/s12984-018-0471-y Schmoll M, Le Guillou R, Lobato Borges D, Fattal C, Fachin-Martins E, Azevedo Coste C. Standardizing fatigue-resistance testing during electrical stimulation of paralysed human quadriceps muscles, a practical approach. J NeuroEngineering Rehabil [Internet]. 2021;18:11. Available from: https://doi.org/10.1186/s12984-021-00805-7 Nguyen R, Masani K, Micera S, Morari M, Popovic MR. Spatially Distributed Sequential Stimulation Reduces Fatigue in Paralyzed Triceps Surae Muscles: A Case Study. Artif Organs [Internet]. 2011 [cited 2025 Apr 15];35:1174–80. Available from: https://onlinelibrary.wiley.com/doi/abs/ 10.1111/j.1525-1594.2010.01195.x Sayenko DG, Popovic MR, Masani K. Spatially distributed sequential stimulation reduces muscle fatigue during neuromuscular electrical stimulation. 2013 35th Annu Int Conf IEEE Eng Med Biol Soc EMBC [Internet]. 2013 [cited 2025 Apr 15]. pp. 3614–7. Available from: https://ieeexplore.ieee.org/document/6610325 Downey RJ, Bellman MJ, Kawai H, Gregory CM, Dixon WE. Comparing the Induced Muscle Fatigue Between Asynchronous and Synchronous Electrical Stimulation in Able-Bodied and Spinal Cord Injured Populations. IEEE Trans Neural Syst Rehabil Eng [Internet]. 2015 [cited 2025 Apr 15];23:964–72. Available from: https://ieeexplore.ieee.org/document/6936367 Sayenko DG, Nguyen R, Popovic MR, Masani K. Reducing muscle fatigue during transcutaneous neuromuscular electrical stimulation by spatially and sequentially distributing electrical stimulation sources. Eur J Appl Physiol [Internet]. 2014 [cited 2025 Apr 15];114:793–804. Available from: https://doi.org/10.1007/s00421-013-2807-4 Laubacher M, Aksöz EA, Binder-Macleod S, Hunt KJ. Comparison of Proximally Versus Distally Placed Spatially Distributed Sequential Stimulation Electrodes in a Dynamic Knee Extension Task. Eur J Transl Myol [Internet]. 2016 [cited 2025 Apr 15];26:6016. Available from: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4942706/ Laubacher M, Aksöz AE, Riener R, Binder-Macleod S, Hunt KJ. Power output and fatigue properties using spatially distributed sequential stimulation in a dynamic knee extension task. Eur J Appl Physiol [Internet]. 2017 [cited 2025 Apr 15];117:1787–98. Available from: https://doi.org/10.1007/s00421-017-3675-0 Bergquist AJ, Babbar V, Ali S, Popovic MR, Masani K. Fatigue reduction during aggregated and distributed sequential stimulation. Muscle Nerve [Internet]. 2017 [cited 2025 Apr 15];56:271–81. Available from: https://onlinelibrary.wiley.com/doi/abs/10.1002/mus.25465 Wiest MJ, Bergquist AJ, Heffernan MG, Popovic M, Masani K. Fatigue and Discomfort During Spatially Distributed Sequential Stimulation of Tibialis Anterior. IEEE Trans Neural Syst Rehabil Eng Publ IEEE Eng Med Biol Soc. 2019;27:1566–73. De Macedo Pinheiro L, De Sousa ACC, Bo APL. Comparing Spatially Distributed and Single Electrode Stimulation on Individuals with Spinal Cord Injury. Annu Int Conf IEEE Eng Med Biol Soc IEEE Eng Med Biol Soc Annu Int Conf. 2020;2020:3293–6. Sayenko DG, Nguyen R, Hirabayashi T, Popovic MR, Masani K. Method to Reduce Muscle Fatigue During Transcutaneous Neuromuscular Electrical Stimulation in Major Knee and Ankle Muscle Groups. Neurorehabil Neural Repair. 2015;29:722–33. Ye G, Theventhiran P, Masani K. Effect of Spatially Distributed Sequential Stimulation on Fatigue in Functional Electrical Stimulation Rowing. IEEE Trans Neural Syst Rehabil Eng Publ IEEE Eng Med Biol Soc. 2022;30:999–1008. Baptista S, C C Moreira R, Pinheiro MDM, Pereira LR, Carmona TG, Freire GPD. User-centered design and spatially-distributed sequential electrical stimulation in cycling for individuals with paraplegia. J Neuroeng Rehabil. 2022;19:45. Ceroni I, Ferrante S, Conti F, No SJ, Gasperina SD, Dell’Eva F et al. Comparing Fatigue Reducing Stimulation Strategies During Cycling Induced by Functional Electrical Stimulation: a Case Study with one Spinal Cord Injured Subject. 2021 43rd Annu Int Conf IEEE Eng Med Biol Soc EMBC [Internet]. 2021 [cited 2025 Apr 6]. pp. 6394–7. Available from: https://ieeexplore.ieee.org/document/9630197. Jafari E, Kajganic P, Bergeron V, Di Marco J, Metani A, Popovic-Maneski L. Efficacy of high- versus moderate-intensity spatially distributed sequential stimulation in subjects with spinal cord injury: an isometric study. J NeuroEngineering Rehabil [Internet]. 2025;22:65. Available from: https://doi.org/10.1186/s12984-025-01567-2 Kajganic P, Bergeron V, Metani A. ICEP: An Instrumented Cycling Ergometer Platform for the Assessment of Advanced FES Strategies. Sensors [Internet]. 2023 [cited 2025 Apr 6];23:3522. Available from: https://www.mdpi.com/1424-8220/23/7/3522 Popović-Maneski L, Mateo S, MotiMove. Multi-purpose transcutaneous functional electrical stimulator. Artif Organs [Internet]. 2022 [cited 2025 Apr 6];46:1970–9. Available from: https://onlinelibrary.wiley.com/doi/abs/10.1111/aor.14379 Botter A, Oprandi G, Lanfranco F, Allasia S, Maffiuletti NA, Minetto MA. Atlas of the muscle motor points for the lower limb: implications for electrical stimulation procedures and electrode positioning. Eur J Appl Physiol. 2011;111:2461–71. Ho J, Tumkaya T, Aryal S, Choi H, Claridge-Chang A. Moving beyond P values: data analysis with estimation graphics. Nat Methods [Internet]. 2019 [cited 2025 May 2];16:565–6. Available from: https://www.nature.com/articles/s41592-019-0470-3 Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 28 Nov, 2025 Read the published version in Journal of NeuroEngineering and Rehabilitation → Version 1 posted Editorial decision: Revision requested 23 Jul, 2025 Reviews received at journal 15 Jul, 2025 Reviews received at journal 10 Jul, 2025 Reviews received at journal 07 Jul, 2025 Reviewers agreed at journal 02 Jul, 2025 Reviewers agreed at journal 25 Jun, 2025 Reviewers agreed at journal 24 Jun, 2025 Reviewers agreed at journal 24 Jun, 2025 Reviewers invited by journal 23 Jun, 2025 Editor assigned by journal 10 Jun, 2025 Submission checks completed at journal 10 Jun, 2025 First submitted to journal 28 May, 2025 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-6769883","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":475983378,"identity":"bba31580-e2c5-4bd4-b2c8-284f97c4ec98","order_by":0,"name":"Petar Kajganic","email":"data:image/png;base64,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","orcid":"","institution":"CNRS, ENS de Lyon, LPENSL","correspondingAuthor":true,"prefix":"","firstName":"Petar","middleName":"","lastName":"Kajganic","suffix":""},{"id":475983379,"identity":"6de9279f-5c60-4ba3-9a97-e13413e36c1a","order_by":1,"name":"Ehsan Jafari","email":"","orcid":"","institution":"CNRS, ENS de Lyon, LPENSL","correspondingAuthor":false,"prefix":"","firstName":"Ehsan","middleName":"","lastName":"Jafari","suffix":""},{"id":475983382,"identity":"7290f830-8a5b-41f5-94e7-3c73279f1fa0","order_by":2,"name":"Amine Metani","email":"","orcid":"","institution":"CNRS, ENS de Lyon, LPENSL","correspondingAuthor":false,"prefix":"","firstName":"Amine","middleName":"","lastName":"Metani","suffix":""},{"id":475983383,"identity":"a810c525-ee46-4fe1-8f27-63799c2a5383","order_by":3,"name":"Lana Popović-Maneski","email":"","orcid":"","institution":"Institute of Technical Sciences of SASA","correspondingAuthor":false,"prefix":"","firstName":"Lana","middleName":"","lastName":"Popović-Maneski","suffix":""},{"id":475983384,"identity":"982527d2-321b-4dfd-b26e-12dd05742681","order_by":4,"name":"Julie Di Marco","email":"","orcid":"","institution":"Center of Rehabilitation Val Rosay","correspondingAuthor":false,"prefix":"","firstName":"Julie","middleName":"Di","lastName":"Marco","suffix":""},{"id":475983385,"identity":"32101218-434a-43b7-8523-18ec7c6bc59b","order_by":5,"name":"Vance Bergeron","email":"","orcid":"","institution":"CNRS, ENS de Lyon, LPENSL","correspondingAuthor":false,"prefix":"","firstName":"Vance","middleName":"","lastName":"Bergeron","suffix":""}],"badges":[],"createdAt":"2025-05-28 16:23:16","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6769883/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6769883/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1186/s12984-025-01780-z","type":"published","date":"2025-11-28T15:57:04+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":85442530,"identity":"26e462c9-e7d0-493c-8805-b35c71d160ab","added_by":"auto","created_at":"2025-06-26 01:26:29","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":241519,"visible":true,"origin":"","legend":"\u003cp\u003eIllustration of the experimental setup for the assessment of the power output and fatigue-reducing properties of SDSS versus SES applied to the paralyzed quadriceps muscles of subjects performing motor-assisted FES cycling. The electrode placement and the colors of the wires correspond to the ones used in Figure 2.\u003c/p\u003e","description":"","filename":"image1.png","url":"https://assets-eu.researchsquare.com/files/rs-6769883/v1/dbcc178794ff54b5a04b0201.png"},{"id":85442564,"identity":"c4149001-18e9-4add-930f-971a6d5bc282","added_by":"auto","created_at":"2025-06-26 01:26:42","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":172220,"visible":true,"origin":"","legend":"\u003cp\u003e(a) An illustration of the electrode configuration used for both SDSS and SES. Stimulated muscle groups are highlighted in orange. Distal (cathode) electrodes are labeled in correspondence with the y-axis of the schematics (b) and (c). Schematics represent electrical pulse trains delivered to each electrode (labeled on the y-axis) during four stimulation periods creating (b) the SDSS effect or (c) the SES effect.\u003c/p\u003e","description":"","filename":"image2.png","url":"https://assets-eu.researchsquare.com/files/rs-6769883/v1/b40e10ca4df3647fb96af681.png"},{"id":85442126,"identity":"dc4b0e42-21a8-41e4-9a14-89c824af7228","added_by":"auto","created_at":"2025-06-26 01:18:29","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":127551,"visible":true,"origin":"","legend":"\u003cp\u003eAn illustration of the experimental protocol. Each subject participated in two experimental sessions involving 3 min warm-up phases, 3 min stimulation phases and a 15-minute break between experimental trials. The x-axis corresponds to the time in minutes. The blue line overlaid on the graph indicates the cadence of the motor assistance, while subsequent vertical lines correspond to electrical stimulation pulses. Vertical colored lines represent SDSS stimulation pulses while the black lines represent SES stimulation pulses. The areas of power produced (P\u003csub\u003eF\u003c/sub\u003e) during the first 30 seconds are shaded green and red-shaded areas are power produced (P\u003csub\u003eL\u003c/sub\u003e) during the last 30 seconds of stimulation.\u003c/p\u003e","description":"","filename":"image3.png","url":"https://assets-eu.researchsquare.com/files/rs-6769883/v1/61f9b273d7f9d011a6784d7e.png"},{"id":85442136,"identity":"8b02a4e2-2a97-4a88-954f-278ea3dff860","added_by":"auto","created_at":"2025-06-26 01:18:29","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":115758,"visible":true,"origin":"","legend":"\u003cp\u003eGraphs summarizing (a) mean power and (b) fatigue index values of SES and SDSS phases for each session. Values from each subject are presented in a different color. Vertical lines plotted on the side of each group depict the corresponding groups’ mean value and 95% CI. The difference between the mean values of SDSS and SES groups is plotted against the right y-axis.\u003c/p\u003e","description":"","filename":"image4.png","url":"https://assets-eu.researchsquare.com/files/rs-6769883/v1/71747935cfdd4c884c80dddf.png"},{"id":85442138,"identity":"a2d46541-99e6-43b9-90b9-83cc9a529603","added_by":"auto","created_at":"2025-06-26 01:18:29","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":409102,"visible":true,"origin":"","legend":"\u003cp\u003eGraphs showing power [W] versus time [min] produced by the left (blue) and the right (red) leg of subject P1 during (a) the first and (b) the second session, subject P2 during (c) the first and (d) the second session, subject P3 during (e) the first and (f) the second session and subject P4 during (g) the first and (h) the second session.\u003c/p\u003e","description":"","filename":"image5.png","url":"https://assets-eu.researchsquare.com/files/rs-6769883/v1/da4817181453a948a74d9afd.png"},{"id":97178356,"identity":"a660d261-85d3-4005-b996-f0f26eb7a74d","added_by":"auto","created_at":"2025-12-01 16:08:47","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1872534,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6769883/v1/31ff4971-d448-4d75-8601-ae33d8ffdbce.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Spatially Distributed Sequential Stimulation Applied to the Paralyzed Quadriceps Muscles while Performing Motor-assisted FES Cycling","fulltext":[{"header":"Introduction","content":"\u003cp\u003eTranscutaneous neuromuscular electrical stimulation is a technique that provides a means of inducing contractions in paralyzed muscles. Electrical pulses are delivered through surface electrodes placed on the skin in the proximity of the motor point of the stimulated muscle. The electrical fields generated between the electrodes can trigger the adjacent motor neurons creating an action potential resulting in muscle contraction [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eFunctional electrical stimulation (FES) is a rehabilitation method of coordinating muscle activations to produce functional movement [\u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e] such as cycling [\u003cspan additionalcitationids=\"CR4 CR5\" citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR6\" class=\"CitationRef\"\u003e6\u003c/span\u003e], rowing [\u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e, \u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e8\u003c/span\u003e] or walking [\u003cspan citationid=\"CR9\" class=\"CitationRef\"\u003e9\u003c/span\u003e, \u003cspan citationid=\"CR10\" class=\"CitationRef\"\u003e10\u003c/span\u003e]. FES exercise is a valuable tool for preventing secondary complications associated with various types of motor disabilities such as spinal cord injury (SCI) [\u003cspan citationid=\"CR11\" class=\"CitationRef\"\u003e11\u003c/span\u003e], multiple sclerosis (MS) [\u003cspan citationid=\"CR12\" class=\"CitationRef\"\u003e12\u003c/span\u003e] and stroke [\u003cspan citationid=\"CR13\" class=\"CitationRef\"\u003e13\u003c/span\u003e]. In particular, regular FES cycling exercise has been shown to improve cardiorespiratory fitness [\u003cspan citationid=\"CR14\" class=\"CitationRef\"\u003e14\u003c/span\u003e, \u003cspan citationid=\"CR15\" class=\"CitationRef\"\u003e15\u003c/span\u003e], bone density [\u003cspan citationid=\"CR16\" class=\"CitationRef\"\u003e16\u003c/span\u003e] and muscle mass [\u003cspan citationid=\"CR17\" class=\"CitationRef\"\u003e17\u003c/span\u003e, \u003cspan citationid=\"CR18\" class=\"CitationRef\"\u003e18\u003c/span\u003e] which may reduce the risk of pressure sores [\u003cspan citationid=\"CR19\" class=\"CitationRef\"\u003e19\u003c/span\u003e] contributing to the quality of life of people with SCI.\u003c/p\u003e \u003cp\u003eDespite the health benefits, FES is not widespread in clinical or home use [\u003cspan citationid=\"CR20\" class=\"CitationRef\"\u003e20\u003c/span\u003e]. Aside from the high cost, this is a consequence of the limitations of the technology, mainly the rapid onset of muscle fatigue and low output power generated by the stimulated muscles. Maintaining high output force levels for prolonged periods is necessary for performing functional tasks.\u003c/p\u003e \u003cp\u003eVoluntary muscle contractions are achieved by recruiting motor units based on their size, from smaller axons that innervate slow fatigue-resistant muscle fibers to larger axons innervating fast, easily fatigable muscle fibers [\u003cspan citationid=\"CR21\" class=\"CitationRef\"\u003e21\u003c/span\u003e]. As the size of an axon defines the axon\u0026rsquo;s activation threshold, electrical stimulation is more likely to activate larger axons resulting in an earlier onset of muscle fatigue [\u003cspan citationid=\"CR22\" class=\"CitationRef\"\u003e22\u003c/span\u003e]. Moreover, conventional electrical stimulation, also termed single electrode stimulation (SES), referring to a single cathode electrode, repeatedly activates the same motor units with every stimulation pulse whereas, during voluntary contractions, motor units are randomly activated resulting in longer periods of rest for each motor unit.\u003c/p\u003e \u003cp\u003eInstead of using a single cathode electrode, stimulation can be distributed across multiple smaller cathode electrodes, each activating different motor units at lower frequencies while maintaining a strong, fused muscle contraction, more akin to natural contractions. This approach, termed spatially distributed sequential stimulation (SDSS), delivers pulses typically through four small closely spaced electrodes placed over the same area as the SES electrode, although designs can substantially vary from one study to the other [\u003cspan additionalcitationids=\"CR24\" citationid=\"CR23\" class=\"CitationRef\"\u003e23\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR25\" class=\"CitationRef\"\u003e25\u003c/span\u003e].In the design used in the current study, individual electrodes are one-fourth of the SES electrode size and deliver the stimulation at one-fourth of the typical SES frequency (10-15Hz) with an implemented 90\u0026ordm; phase shift between the electrodes. This method was shown to be effective at reducing muscle fatigue when the electrodes are placed over the same muscle belly or muscle group [\u003cspan citationid=\"CR24\" class=\"CitationRef\"\u003e24\u003c/span\u003e, \u003cspan additionalcitationids=\"CR27 CR28 CR29 CR30 CR31 CR32 CR33\" citationid=\"CR26\" class=\"CitationRef\"\u003e26\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR34\" class=\"CitationRef\"\u003e34\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eDespite the fact that some studies on the paralyzed quadriceps muscles performing isometric [\u003cspan citationid=\"CR23\" class=\"CitationRef\"\u003e23\u003c/span\u003e, \u003cspan citationid=\"CR27\" class=\"CitationRef\"\u003e27\u003c/span\u003e, \u003cspan citationid=\"CR35\" class=\"CitationRef\"\u003e35\u003c/span\u003e] or isokinetic [\u003cspan citationid=\"CR24\" class=\"CitationRef\"\u003e24\u003c/span\u003e, \u003cspan citationid=\"CR34\" class=\"CitationRef\"\u003e34\u003c/span\u003e] contractions reported either significant or slight gains in favor of SDSS versus SES, the benefits of applying SDSS to a functional task such as FES cycling have not been extensively explored, and show contradicting results. During these types of activities, the muscles and motor points are constantly moving relative to the electrodes that are attached to the skin surface which may negate any benefits observed during isometric and simple, highly repetitive movements. To the best of our knowledge, only three studies have investigated the effects of SDSS when performing FES exercise. Ye et al. [\u003cspan citationid=\"CR36\" class=\"CitationRef\"\u003e36\u003c/span\u003e] have reported that SDSS applied to the quadriceps muscles of able-bodied subjects reduced muscle fatigue while performing FES rowing. The other two studies [\u003cspan citationid=\"CR37\" class=\"CitationRef\"\u003e37\u003c/span\u003e, \u003cspan citationid=\"CR38\" class=\"CitationRef\"\u003e38\u003c/span\u003e] were conducted on the quadriceps muscle groups of a single SCI subject in preparation for the Cybathlon FES cycling race (an international sporting event for handicapped individuals). However, the studies report conflicting results. Baptisia et al. [\u003cspan citationid=\"CR37\" class=\"CitationRef\"\u003e37\u003c/span\u003e] demonstrated better performance of SDSS while Ceroni et al. [\u003cspan citationid=\"CR38\" class=\"CitationRef\"\u003e38\u003c/span\u003e] found SES to be superior. That said, both studies involved multiple varying and uncontrolled parameters and Ceroni et al. investigated four different stimulation strategies, both of which complicate drawing definitive conclusions.\u003c/p\u003e \u003cp\u003eThe aim of the present study was to systematically assess the power output and fatigue-reducing properties of SDSS versus SES applied to the paralyzed quadriceps muscles of subjects without voluntary lower-limb motor function, performing a controlled motor-assisted FES cycling task. Our recent isometric study [\u003cspan citationid=\"CR39\" class=\"CitationRef\"\u003e39\u003c/span\u003e] allowed us to have an in-depth understanding of the influence of electrode placement and stimulation parameters on the performance of SDSS. In this study, we concluded that the superior force output and fatigue resistance of SDSS over SES is notably diminished with the increase of stimulation intensity delivered to the paralyzed quadriceps muscles. With this knowledge, we have designed a systematic study protocol to determine if SDSS provides similar benefits to those seen in isometric studies when applied to performing FES cycling exercises. As nearly all FES stationary cycling exercise devices are equipped with motor assistance to help prolong the exercise experience for individuals who do not have enough strength to cycle only with FES, we have conducted our experiments under motor-assisted conditions. This also helped us to conduct the experiments systematically under constant cadence conditions.\u003c/p\u003e"},{"header":"Methods","content":"\u003cdiv id=\"Sec3\" class=\"Section2\"\u003e \u003ch2\u003eSubjects\u003c/h2\u003e \u003cp\u003eThree adult male subjects with lower-limb motor-complete spinal cord injury and one adult male with multiple sclerosis (MS) participated in the study. The subject with multiple sclerosis (P4) cannot produce voluntary muscle contractions in the lower limbs. All subjects had previous experience with FES of the quadriceps muscle group, three of whom had participated in our previous study involving SDSS [\u003cspan citationid=\"CR39\" class=\"CitationRef\"\u003e39\u003c/span\u003e]. To mitigate the effects of residual fatigue, all subjects were asked to refrain from using FES for at least 48 hours before each experiment was conducted. The exclusion criteria stipulated that the subjects must not have sustained lower limb fractures within the past year or have open wounds or rashes on the skin surface where the electrodes would be placed. Additional information about the subjects is provided in Table\u0026nbsp;\u003cspan refid=\"Tab1\" class=\"InternalRef\"\u003e1\u003c/span\u003e and Table\u0026nbsp;\u003cspan refid=\"Tab2\" class=\"InternalRef\"\u003e2\u003c/span\u003e. Before participating, the subjects were provided with a detailed description of the study's purpose and testing procedures. Each subject provided written informed consent. The project was conducted in accordance with the Declaration of Helsinki, approved by the local Institutional Review Board and registered at ClinicalTrials.gov (NCT06421753).\u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab1\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 1\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003eThe demographic and clinical characteristics of subjects with spinal cord injury.\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"7\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c7\" colnum=\"7\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\"\u003e \u003cp\u003eSubjects\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003eAge\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e \u003cp\u003eInjury\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e \u003cp\u003eASIA\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c5\"\u003e \u003cp\u003eTime after spinal cord injury (years)\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c6\"\u003e \u003cp\u003ePrevious FES experience\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c7\"\u003e \u003cp\u003eCurrent FES training\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eP1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e46\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003eC7-C8\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003eB\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e11\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003eYes\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003eNo\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eP2\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e30\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003eC5-C6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003eB\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003eYes\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003eYes\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eP3\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e \u003cp\u003e59\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003eC6-C7\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003eA\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e6\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003eYes\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003eYes\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab2\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 2\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003eClinical characteristics of the subject with multiple sclerosis.\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"7\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c6\" colnum=\"6\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c7\" colnum=\"7\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\"\u003e \u003cp\u003eSubject\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003eAge\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e \u003cp\u003eEDDS\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e \u003cp\u003eMS type\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c5\"\u003e \u003cp\u003eDisease duration (years)\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c6\"\u003e \u003cp\u003ePrevious FES experience\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c7\"\u003e \u003cp\u003eCurrent FES training\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eP4\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003e38\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c3\"\u003e \u003cp\u003e8\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c4\"\u003e \u003cp\u003eProgressive\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c5\"\u003e \u003cp\u003e11\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c6\"\u003e \u003cp\u003eYes\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c7\"\u003e \u003cp\u003eNo\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003c/div\u003e\n\u003ch3\u003eMeasurement instrumentation\u003c/h3\u003e\n\u003cp\u003eThe experiments were performed on the custom-made instrumented cycling ergometer platform (ICEP) [\u003cspan citationid=\"CR40\" class=\"CitationRef\"\u003e40\u003c/span\u003e]. The wall-mounted platform consists of a modified bicycle frame carrying force-torque measuring pedals (ICS-RM, Sensix, France), a magnetic ring encoder (LM13, RLS, Slovenia) and a motorized actuator system (EC60 Flat, Maxon Motor AG, Switzerland). The actuator system was designed to assist the subjects with maintaining a constant cycling cadence which can be set using a custom-made LabVIEW program. Each pedal measures all three components (x-y-z axis) of the force and torque applied to their surface, as well as the inclination angle of the pedal in reference to the crank arm. Measured forces, paired with the crank angle data acquired with the ring encoder are saved in a text file for later processing. A crank angle of 0\u0026deg; is achieved when the left crank arm is in the forward position and parallel to the ground. A more detailed description of the cycling ergometer and the measurement setup is available in our previous publication [\u003cspan citationid=\"CR40\" class=\"CitationRef\"\u003e40\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eSubjects were seated on a modified recumbent tricycle (Carbontrikes, Sweden) with their legs firmly attached to the force-measuring pedals using modified leg orthoses (Hase Bikes, Germany). The trike was secured to the cycling platform with a retractor system. The distance between the trike and the platform was measured to ensure an identical sitting position between the experimental sessions for each subject. An illustration of the experimental setup is provided in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003e.\u003c/p\u003e \u003cp\u003eA PC-controlled 8-channel MotiMove stimulator [\u003cspan citationid=\"CR41\" class=\"CitationRef\"\u003e41\u003c/span\u003e] (3F-Fit Fabricando Faber, Serbia) was used to deliver asymmetric biphasic pulses to the paralyzed quadriceps muscles. The stimulator was synchronized with a crank encoder using a data acquisition card (PCI-6009, National Instruments, USA). A graphical user interface was implemented to set the stimulation parameters, cycling cadence and the crank angle ranges during which the stimulation was applied. SDSS was created by connecting Anti-Fatigue Unit (AFU, 3F-Fit Fabricando Faber, Serbia) devices to the cathodes of two stimulation channels (one per leg). AFU devices distribute incoming pulses from one single channel, sequentially over four different output lines connected to four separate electrodes, see Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003e.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e\n\u003ch3\u003eElectrode placement\u003c/h3\u003e\n\u003cp\u003eFour self-adhesive surface electrodes (Compex Dura-Stick plus) were placed distally (cathodes) while the reference electrode (anode) was placed proximally over the quadriceps muscle groups. The chosen electrode configuration was identical to the configuration used in the prior isometric study conducted on the quadriceps muscle groups [\u003cspan citationid=\"CR39\" class=\"CitationRef\"\u003e39\u003c/span\u003e]. Before applying the electrodes, the skin was cleaned and proximal and distal motor points of rectus femoris (RF) muscles were found using the measured anatomic landmarks [\u003cspan citationid=\"CR42\" class=\"CitationRef\"\u003e42\u003c/span\u003e]. Motor points were marked with an indelible marker pen to ensure identical electrode placement across the experimental sessions.\u003c/p\u003e \u003cp\u003eThe proximal electrode was made by connecting two electrodes to the anode of the same stimulation channel thus creating an electrode with an effective surface area of 5 x 14 cm\u003csup\u003e2\u003c/sup\u003e. Electrodes used for the anode were a 5 x 5 cm\u003csup\u003e2\u003c/sup\u003e electrode placed on the proximal motor point of RF muscle and a 5 x 9 cm electrode placed laterally, to the side of the 5 x 5 electrode (see Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003e). Distal (cathode) electrodes, with a surface area of 5 x 5 cm\u003csup\u003e2\u003c/sup\u003e each, were placed as close as possible to each other, to form a 2x2 matrix just under the distal motor point of the RF muscle. Positions of the electrodes were confirmed or modified based on visual observations and gentle touch of the muscle contraction resulting from a short train of pulses sent to each electrode separately. To minimize fatigue, the pulses used were slightly above the motor threshold. The electrode configuration is illustrated in Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003e.\u003c/p\u003e \u003cp\u003eThe described electrode configuration was used for both SDSS and SES. Unlike previous studies that explored the topic of SDSS, in the SES mode, all four distal electrodes were connected to the cathode of the same stimulation channel effectively making them into one large electrode. This was done so that the electrode positioning and the area covered by the electrodes remained identical during SES and SDSS, to ensure a fair comparison. In the SDSS mode, each distal electrode was connected to a different output channel of the AFU device.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e\n\u003ch3\u003eStimulation parameters\u003c/h3\u003e\n\u003cp\u003eIn our previous study [\u003cspan citationid=\"CR39\" class=\"CitationRef\"\u003e39\u003c/span\u003e], we found that moderate-intensity SDSS has more pronounced benefits than high-intensity SDSS in terms of fatigue resistance and power produced. Thus, the electrical stimulation parameters used for SES and SDSS were set identically to the moderate stimulation parameters defined in the previous study and were kept constant throughout the experiments. The stimulation pulse width was set to 400 \u0026micro;s and the frequency was 48 Hz for SES and 12 Hz per channel (12 x 4\u0026thinsp;=\u0026thinsp;48) for SDSS; thus, providing a composite frequency of 48 Hz, maintaining coherence in both experimental cases. The moderate stimulation intensity was calculated for each subject as the mean value of their motor threshold and the maximum stimulation intensity which was restricted to 130 mA. In no case did a subject experience pain during stimulation.\u003c/p\u003e \u003cp\u003eAn angular range of 130\u0026deg; was chosen for the stimulation of each set of quadriceps muscles. As the motor assistance was kept at a constant cycling cadence, having a set angular range of stimulation ensured an equal time-period of stimulation between subjects and sessions. Once the subject was properly positioned, to determine the optimal stimulation patterns that produce the maximum force on the pedals, a comparison between the forces produced during passive cycling (motor-assisted cycling with the cadence of 50 rpm without muscle stimulation) and active cycling (motor-assisted FES cycling at 50 rpm) was made. For active cycling, stimulation pulses of moderate intensity SES or SDSS were constantly sent to the muscles over a complete revolution of the crank. We refer to the difference in the force measured between the active and passive cycling over a full revolution as the muscle force profile (MFP) and it represents the forces produced by the stimulated muscle group on the pedals over the entire crank revolution [\u003cspan citationid=\"CR40\" class=\"CitationRef\"\u003e40\u003c/span\u003e]. By analyzing the MFP and adhering to the chosen angular range of 130\u0026ordm;, the optimal initialization (INIT) and termination (TERM) stimulation angles for producing the maximum force from the quadriceps muscles were determined (i.e., the 130\u0026deg; angle range was simply overlaid the MFP for each subject and the intersection of the two were used for INIT and TERM).\u003c/p\u003e \u003cp\u003eHowever, to ensure that the muscles are activated at the correct position, the INIT angle needs to be shifted to compensate for the delay introduced by the measuring equipment (1 ms), the electrical stimulator delay (time lag between the command to generate an electrical pulse reaches the simulator and the electrical pulse being generated \u0026ndash; 3.2 ms) and the muscle activation delay (time required for the muscle to produce tension after the electrical pulse reaches the motor nerve). The required angular shift depends on the cycling cadence, and it can be calculated using Eq.\u0026nbsp;1, or it can be directly measured by comparing passive forces and active forces produced by the muscle stimulated between the determined INIT and TERM angles. The required angular shift is the angular difference between the INIT angle, set in the LabView control interface, and the angle where the muscle produces a noticeable force. The TERM angle needs to be compensated only for the delay introduced by the system and the stimulator which can be calculated using Eq.\u0026nbsp;2.\u003cdiv id=\"Equa\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equa\" name=\"EquationSource\"\u003e\n$$\\:\\begin{array}{c}\\varDelta\\:{\\theta\\:}_{i}=\\frac{\\left(D+{D}_{s}+EMD\\right)\\times\\:360}{60}\\omega\\:\\\\\\:\\left(1\\right)\\end{array}$$\u003c/div\u003e\u003c/div\u003e\u003cdiv id=\"Equb\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equb\" name=\"EquationSource\"\u003e\n$$\\:\\begin{array}{c}\\varDelta\\:{\\theta\\:}_{t}=\\frac{\\left(D+{D}_{s}\\right)\\times\\:360}{60}\\omega\\:\\\\\\:\\left(2\\right)\\end{array}$$\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003ewhere ∆θ represents the angular shift [\u0026deg;], EMD is the muscle activation delay [s], D is the delay of the measuring equipment [s], D\u003csub\u003eS\u003c/sub\u003e is the delay of the electrical stimulator [s] and ω is the cycling cadence [rpm]. The required angular shifts were applied to the determined INIT and TERM angles to obtain the delay-compensated stimulation pattern. The process described for obtaining the INIT and TERM angles for each muscle and delay compensation was based on our previous study determining optimal stimulation patterns for motor-assisted FES cycling [\u003cspan citationid=\"CR40\" class=\"CitationRef\"\u003e40\u003c/span\u003e].\u003c/p\u003e\n\u003ch3\u003eExperimental protocol\u003c/h3\u003e\n\u003cp\u003eEach subject participated in two experimental sessions separated by at least 48 hours. Within each experimental session, quadriceps muscle groups of both legs were stimulated with SDSS and SES separated by a 15-minute break. To ensure that there was no systematic influence of possible residual fatigue using a certain type of stimulation, the order of stimulation type was chosen at random for the first experimental session and inverted for the second experimental session (i.e., SDSS then SES versus SES then SDSS or SES then SDSS versus SDSS then SES). The cycling cadence was set to 50 rpm.\u003c/p\u003e \u003cp\u003ePreliminary experiments were conducted to ensure equivalent experimental conditions were achieved each day. The stimulation patterns were determined for each subject as described above. To conduct preliminary measurements, we began by determining the moderate stimulation intensity calculated based on the measured motor threshold. Following this step, a 1-minute warm-up (passive cycling) period was carried out. The MFP was then recorded using the calculated moderate intensity, and the optimal stimulation pattern was determined by overlaying the chosen 130\u0026deg; angle range providing the subject\u0026rsquo;s INIT and TERM angles for the experiments. After a 10-minute rest period, another 1-minute warm-up was performed followed by the procedure described earlier for measuring the angular shift at a cycling cadence of 50 rpm. The required angular shift was applied, and the resulting delay-compensated INIT and TERM angles were used throughout the experimental sessions. For each subject, the moderate intensity and the delay-compensated INIT and TERM angles were measured before each experimental session to ensure that the sitting and electrode positions did not influence the results. A notable difference between the calculated values would indicate that the sitting or electrode position needs to be adjusted.\u003c/p\u003e \u003cp\u003e After a 10-minute break period following the preliminary measurements, the actual experimental session commenced with a 3-minute warm-up phase followed by a 3-minute stimulation phase. During warm-up, the motor passively turned the legs, and the electrical stimulation was off. The set cycling cadence of 50 rpm was gradually achieved (1 rpm increase per second) in the first minute of warm-up and maintained throughout the rest of the warm-up and stimulation phases (represented by a blue line in Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003e). During the stimulation phase, SES or SDSS was applied to both quadriceps muscle groups while the actuator system assisted with keeping the cadence constant. After a 15-minute break, during which both the motor and the stimulation were off, another 3-minute warm-up and stimulation phases were performed using the opposite type of stimulation (SDSS or SES). After at least 48h, the preliminary measurements and the second experimental session were repeated using the inverse order of the stimulation phases. The protocol is illustrated in Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003e.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cdiv id=\"Sec8\" class=\"Section2\"\u003e \u003ch2\u003eData collection and analysis\u003c/h2\u003e \u003cp\u003ePower was calculated as the product of the angular velocity, crank arm length and the tangential component of the force acquired by each pedal. The mean power during each warm-up phase (after the set cadence was reached) was subtracted from the power produced during the subsequent stimulation phase to calculate the power produced only by the stimulated muscles (P). The total mean power (P\u003csub\u003em\u003c/sub\u003e) for each stimulation phase was assessed. A \u0026ldquo;fatigue index\u0026rdquo; (FI) was used as a measure of induced muscle fatigue. Based on the mean power produced in the first (P\u003csub\u003eF\u003c/sub\u003e) and last (P\u003csub\u003eL\u003c/sub\u003e) 30s of each stimulation phase (Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003e), the fatigue index was calculated according to the following equation:\u003cdiv id=\"Equc\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equc\" name=\"EquationSource\"\u003e\n$$\\:\\begin{array}{c}FI=100\\times\\:\\frac{{P}_{F}-{P}_{L}}{{P}_{F}}\\left[\\text{%}\\right]\\\\\\:\\left(3\\right)\\end{array}$$\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003eThis fatigue index corresponds to the percentage of muscle fatigue over the 3-minute stimulation period (i.e., FI\u0026thinsp;=\u0026thinsp;0 means no muscle fatigue while FI\u0026thinsp;=\u0026thinsp;1 describes completely fatigued muscles). All data analysis was done using MATLAB (MathWorks Inc, USA). Differences between SES and SDSS for each session for total mean power (P\u003csub\u003em\u003c/sub\u003e) and fatigue index (FI) were tested for normality using the Shapiro-Wilk test. A two-tailed paired t-test for normally distributed data was applied to test for significant differences between the means, and Cohen\u0026rsquo;s d-values were used to indicate the effect size. P-values lower than 0.05 indicated statistical significance. Data were presented using Gardner-Altman plots with the addition of 95% confidence intervals (CI) of the means of each group [\u003cspan citationid=\"CR43\" class=\"CitationRef\"\u003e43\u003c/span\u003e].\u003c/p\u003e \u003c/div\u003e"},{"header":"Results","content":"\u003cdiv id=\"Sec10\" class=\"Section2\"\u003e \u003ch2\u003eOverall outcomes\u003c/h2\u003e \u003cp\u003eThe mean power produced by the paralyzed quadriceps muscles stimulated using SDSS (10.5 W\u0026thinsp;\u0026plusmn;\u0026thinsp;1.2 W) was significantly higher compared to SES (4.3 W\u0026thinsp;\u0026plusmn;\u0026thinsp;1.4 W), as demonstrated by the paired t-test (\u003cem\u003ep\u003c/em\u003e\u0026thinsp;\u0026lt;\u0026thinsp;0.001, d\u0026thinsp;=\u0026thinsp;4.7). However, the paired t-test did not reveal a significant difference (p\u0026thinsp;=\u0026thinsp;0.342, d\u0026thinsp;=\u0026thinsp;0.37) between the FI resulting from SDSS (68.9% \u0026plusmn; 8%) and SES (73.3% \u0026plusmn; 14.6%) stimulation phases. The mean power produced, and the fatigue index values of each stimulation phase are displayed in Fig.\u0026nbsp;\u003cspan refid=\"Fig4\" class=\"InternalRef\"\u003e4\u003c/span\u003e. Power versus time graphs for each stimulation phase of each subject are shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e5\u003c/span\u003e while the overall summary of the results, along with the simulation parameters, are presented in Table\u0026nbsp;\u003cspan refid=\"Tab3\" class=\"InternalRef\"\u003e3\u003c/span\u003e.\u003c/p\u003e \u003cp\u003e\u003cimg 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\" width=\"584\" height=\"375\"\u003e\u003c/p\u003e \u003cdiv id=\"Sec11\" class=\"Section2\"\u003e \u003ch2\u003eIndividual cases\u003c/h2\u003e \u003cdiv id=\"Sec12\" class=\"Section3\"\u003e \u003ch2\u003eCase 1\u003c/h2\u003e \u003cp\u003eSubject P1 had ample experience with FES of the quadriceps muscles as he had participated in the 2016 and 2020 editions of Cybathlon\u0026rsquo;s FES cycling races. Even though not involved in regular FES strength training at the time of the study, the muscle strength remained high. No co-contractions or muscle spasms were observed or reported by the subject during the measurements. The power produced by the left and right quadriceps muscle groups during the first and second experimental sessions is shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e5\u003c/span\u003e. Stimulation parameters and the results for both experimental sessions are presented in Table\u0026nbsp;\u003cspan refid=\"Tab3\" class=\"InternalRef\"\u003e3\u003c/span\u003e.\u003c/p\u003e \u003c/div\u003e \u003c/div\u003e \u003cdiv id=\"Sec13\" class=\"Section2\"\u003e \u003ch2\u003eCase 2\u003c/h2\u003e \u003cp\u003eSubject P2 was undergoing FES-cycling strength training at the time of the study (twice per week). The subject did not perform FES exercise for at least 48 hours before the experimental sessions. Due to the issues with the actuator system, the stimulation intensity used throughout the experimental sessions was lowered from the calculated 70 mA to 60 mA. In both experimental sessions, during the first warm-up phase, spastic leg activations were observed. During the stimulation phases, no muscle spasms were observed or reported by the subject. However, from the power recorded during the first experimental session provided in Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e5\u003c/span\u003e (c), it can be seen that small spastic contractions occurred. The power produced by the left and right quadriceps muscle groups during the first and second experimental sessions is shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e5\u003c/span\u003e. Stimulation parameters and the results for both experimental sessions are presented in Table\u0026nbsp;\u003cspan refid=\"Tab3\" class=\"InternalRef\"\u003e3\u003c/span\u003e.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec14\" class=\"Section2\"\u003e \u003ch2\u003eCase 3\u003c/h2\u003e \u003cp\u003eSubject P3 was undergoing FES-cycling strength training at the time of the study (once per week). The subject did not perform any FES exercise for at least 48 hours before the experimental sessions. No co-contractions or muscle spasms were observed or reported by the subject during the measurements. The power produced by the left and right quadriceps muscle groups during the first and second experimental sessions is shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e5\u003c/span\u003e. Stimulation parameters and the results for both experimental sessions are presented in Table\u0026nbsp;\u003cspan refid=\"Tab3\" class=\"InternalRef\"\u003e3\u003c/span\u003e.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec15\" class=\"Section2\"\u003e \u003ch2\u003eCase 4\u003c/h2\u003e \u003cp\u003eSubject P4 has multiple sclerosis, an EDDS score of 8, and was unable to achieve voluntary muscle contractions in the lower limbs, but some sensory functions remained. The subject had prior experience with FES of the quadriceps muscles but was not involved in FES cycling training at the time of the study. During the beginning of the second SES stimulation phase, the subject reported a brief spastic activation of the hamstring muscles. Later data analysis showed an 8-second-long spasm that was likely triggered by the onset of the stimulation. Two data analyses were conducted, one considering and one disregarding the first 8 seconds of the second SES stimulation phase (results are provided in Table\u0026nbsp;\u003cspan refid=\"Tab3\" class=\"InternalRef\"\u003e3\u003c/span\u003e). In the latter case, the stimulation phase was considered to have begun after the spastic activation of the muscles had been finished, i.e., the stimulation phase was 172 seconds long. The power produced by the left and right quadriceps muscle groups during the first and second experimental sessions (with discarded spastic muscle activation) is presented in Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e5\u003c/span\u003e.\u003c/p\u003e \u003c/div\u003e"},{"header":"Discussion","content":"\u003cp\u003eThe goal of the present work was to compare the power output and the fatigue-reducing properties of spatially distributed sequential stimulation versus the traditional single electrode stimulation applied to the paralyzed quadriceps muscle groups of subjects performing motor-assisted FES cycling. From prior isometric [\u003cspan citationid=\"CR23\" class=\"CitationRef\"\u003e23\u003c/span\u003e, \u003cspan citationid=\"CR27\" class=\"CitationRef\"\u003e27\u003c/span\u003e, \u003cspan citationid=\"CR35\" class=\"CitationRef\"\u003e35\u003c/span\u003e] and isokinetic studies [\u003cspan citationid=\"CR24\" class=\"CitationRef\"\u003e24\u003c/span\u003e, \u003cspan citationid=\"CR34\" class=\"CitationRef\"\u003e34\u003c/span\u003e], better performance of SDSS compared to SES could have been expected. However, the only two studies that have compared SDSS to SES with SCI subjects performing FES cycling were reported with contrasting results [\u003cspan citationid=\"CR37\" class=\"CitationRef\"\u003e37\u003c/span\u003e, \u003cspan citationid=\"CR38\" class=\"CitationRef\"\u003e38\u003c/span\u003e]. Both studies were conducted in preparation for the Cybathlon FES cycling race on the paralyzed quadriceps muscles of a single subject, and in neither case was there motor assistance to maintain constant cycling cadence. Although these studies represent a more practical \u0026ldquo;real-life\u0026rdquo; test of SDSS application in FES cycling, in a racing situation where motor assistance is not allowed, they involve a multitude of varying parameters such as stimulation intensity and cycling cadence which make drawing unambiguous conclusions difficult. In that regard, we have purposely designed a protocol where the number of variables is minimal to systematically evaluate the efficacy of SDSS versus SES. For instance, stimulation parameters, stimulation time and cycling cadence were kept constant. Furthermore, our study was designed for FES cycling in rehabilitation and exercise conditions which typically have motor-assisted compensation to allow for smooth cycling at a constant cadence. We also note that an isometric study was conducted to examine the influence of the electrode placement and the stimulation parameters (specifically intensity) on the efficacy of SDSS [\u003cspan citationid=\"CR39\" class=\"CitationRef\"\u003e39\u003c/span\u003e]. Subsequently, we chose parameters that produced the optimal conditions for SDSS. Additionally, in contrast to the protocol in [\u003cspan citationid=\"CR37\" class=\"CitationRef\"\u003e37\u003c/span\u003e], each experimental session involved both stimulation phases (SES and SDSS) allowing for a direct comparison of the tested stimulation methods, circumventing the common challenge of variations in the subject\u0026rsquo;s strength and seating position over multiday tests.\u003c/p\u003e \u003cp\u003eUnder moderate electrical stimulation conditions, paralyzed quadriceps muscle groups produced significantly more power when stimulated with SDSS compared to SES. This was the outcome of each experimental session regardless of the subject, the stimulated leg or the order of the stimulation phases (SES then SDSS versus SDSS then SES). When analyzing individual cases, it can be noticed that subject P3 produced negative power with the right leg during a part of the first SES stimulation phase. After closer inspection of the recorded forces, it was observed that the right quadriceps muscle group was completely fatigued, producing little to no force during the crank angle interval where the stimulation was operational. However, during the interval where the muscle was not stimulated, the recorded force did not perfectly match the reference force (force measured during the warm-up phase). We believe that this small discrepancy is most likely caused by a change of position of the leg in reference to the pedal, which appeared as a hindering force that resulted in a negative power value (Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e5\u003c/span\u003e (e)). Another point of discussion is the occurrence of spastic muscle activation during the second SES stimulation phase of the subject\u0026rsquo;s P4 quadriceps muscle groups. After processing the data containing (SES\u003csub\u003eSP\u003c/sub\u003e) and excluding (SES) the spastic activation of the muscles, it was evident that there was no noteworthy difference between P\u003csub\u003em\u003c/sub\u003e, P\u003csub\u003eF\u003c/sub\u003e, P\u003csub\u003eL\u003c/sub\u003e and FI values (Table\u0026nbsp;\u003cspan refid=\"Tab3\" class=\"InternalRef\"\u003e3\u003c/span\u003e). Thus, it was decided to exclude the first 8 seconds of data from the second SES stimulation phase. There is a possibility that the spastic activity altered the performance of the muscles. However, it is unlikely that the power produced during the second SES stimulation phase would be augmented to the degree that would impact the overall results of the experiment, especially when considering the results of the first experimental session.\u003c/p\u003e \u003cp\u003eNo significant difference in fatigue index between SDSS and SES was observed. One subject experienced slightly more fatigue while three subjects showed slightly better fatigue resistance with SDSS (Fig.\u0026nbsp;\u003cspan refid=\"Fig4\" class=\"InternalRef\"\u003e4\u003c/span\u003e (b) and Table\u0026nbsp;\u003cspan refid=\"Tab3\" class=\"InternalRef\"\u003e3\u003c/span\u003e). Coupled with the high power produced during the last 30 seconds of each of the stimulation phases (P\u003csub\u003eL\u003c/sub\u003e), the results suggest that SDSS might have better fatigue characteristics than SES. Further investigation with more subjects and perhaps a different study design with longer stimulation phases is needed to draw statistically supported conclusions.\u003c/p\u003e \u003cp\u003eThe overall outcome of the present work was that paralyzed quadriceps muscle groups stimulated with moderate electrical stimulation intensity SDSS produced significantly more power without significantly changing the level of muscle fatigue compared to the equivalent SES stimulation while performing motor-assisted FES cycling. From the consensus of isometric studies comparing SDSS to SES, better performance of SDSS was expected under the conditions tested. Baptista et al. [\u003cspan citationid=\"CR37\" class=\"CitationRef\"\u003e37\u003c/span\u003e] reported modest benefits of SDSS whereas in the present study, the benefits of SDSS are much greater despite both studies stimulating the same muscle groups with a similar electrode configuration. This result may be due to the contrast in study protocols but the outcome of our previous work [\u003cspan citationid=\"CR39\" class=\"CitationRef\"\u003e39\u003c/span\u003e] suggests an alternative explanation. It was concluded that the efficacy of SDSS drops with the increase in electrical stimulation intensity. Indeed, in the present study, moderate stimulation intensity was used to test if SDSS can outperform SES when applied to FES cycling under optimal conditions. Baptista et al. used higher stimulation intensities which were increased as their study progressed. The same reasoning, supported by Schmoll et al. [\u003cspan citationid=\"CR25\" class=\"CitationRef\"\u003e25\u003c/span\u003e], can explain the opposite result (worse performance of SDSS compared to SES) reported by Ceroni et al. [\u003cspan citationid=\"CR38\" class=\"CitationRef\"\u003e38\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eApplying high stimulation intensities when performing FES cycling with SDSS should be further investigated. Repeating the present study using high stimulation intensities would more rigorously test the performance of SDSS applied to FES cycling under suboptimal conditions and it would provide new insight into the efficacy of SDSS versus SES at different stimulation intensities [\u003cspan citationid=\"CR25\" class=\"CitationRef\"\u003e25\u003c/span\u003e, \u003cspan citationid=\"CR39\" class=\"CitationRef\"\u003e39\u003c/span\u003e]. Additionally, further investigation exploring the more practical use of SDSS applied to FES cycling should be conducted. Using a similar setup in a closed-loop configuration, the output power can be kept constant by modulating the stimulation intensity. A protocol design around the aforementioned setup would provide a better assessment of the fatigue characteristics of SDSS. Another important factor for practical use is the electrode placement. Based on our previous work [\u003cspan citationid=\"CR39\" class=\"CitationRef\"\u003e39\u003c/span\u003e], we have concluded that placing a 2x2 matrix of cathode electrodes just under the distal motor point of the RF muscle might be the optimal electrode configuration for the stimulation of the quadriceps muscle groups. This is supported by the results of the present study and work done by Baptista et al. [\u003cspan citationid=\"CR37\" class=\"CitationRef\"\u003e37\u003c/span\u003e]. However, the exact position for each electrode was found through trial and error. Each electrode was activated separately in order to verify that the muscle achieved a fused contraction. This process requires experience with SDSS, and it can take up to 15 minutes which is unreasonable for any clinical or personal use. Further examination of the electrode placement for SDSS applied to FES cycling should be conducted to determine more general and simpler guidelines for electrode placement.\u003c/p\u003e"},{"header":"Conclusion","content":"\u003cp\u003eThe present study demonstrated that, under the right conditions, SDSS can be superior to SES for performing motor-assisted FES cycling. Paralyzed quadriceps muscle groups stimulated with moderate electrical stimulation intensity SDSS produced significantly more power with lower or equal levels of muscle fatigue than the equivalent SES stimulation while performing motor-assisted FES cycling. Further studies should assess the efficacy of SDSS under suboptimal conditions and develop long-term training strategies suitable for clinical use.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003e\u003cstrong\u003eEthics approval and consent to participate\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe project was conducted in accordance with the Declaration of Helsinki, approved by the local Institutional Review Board, and registered at ClinicalTrials.gov (NCT06421753). In addition, written informed consent was obtained from all subjects. The participants were assured that their information would only be used for analysis in this study. All methods were carried out under relevant guidelines and regulations.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eConsent for publication\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eNot applicable as all participants have been de-identified.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eCompeting interests\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe authors declare no competing interests.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAvailability of data and materials\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe data are available on request from the corresponding author.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eFunding\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eFunds for the realization of this work were partly provided by the Ministry of Science, Technological Development and Innovation (MoSTDI) of the Republic of Serbia, Agreement on realization and financing of scientific research work of the Institute of Technical Sciences of SASA in 2024 (Record number: 451-03-66/2024-03/200175).\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAuthors\u0026apos; contributions\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eAll authors contributed to the conception and design of the study. PK and EJ acquired the data and performed the data analysis, interpreted the results and drafted the manuscript. All authors revised the manuscript and approved the submitted version.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAcknowledgements\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eWe are grateful to Oussama Abdoun for his help with the statistical analysis and to Adam Sunturlic for the graphical representation of the experimental setup.\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\u003cli\u003e\u003cspan\u003eBaker LL. Neuromuscular electrical stimulation: a practical guide. 4th edition. Downey, Calif.: Los Amigos Research \u0026amp; Education Institute, Rancho Los Amigos National Rehabilitation Center; 2000.\u003c/span\u003e\u003c/li\u003e \u003cli\u003e\u003cspan\u003ePopović DB. Advances in functional electrical stimulation (FES). J Electromyogr Kinesiol [Internet]. 2014 [cited 2025 Apr 11];24:795\u0026ndash;802. 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Available from: \u003cspan class=\"ExternalRef\"\u003e\u003cspan class=\"RefSource\"\u003ehttps://www.nature.com/articles/s41592-019-0470-3\u003c/span\u003e\u003cspan address=\"https://www.nature.com/articles/s41592-019-0470-3\" targettype=\"URL\" class=\"RefTarget\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"journal-of-neuroengineering-and-rehabilitation","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"jner","sideBox":"Learn more about [Journal of NeuroEngineering and Rehabilitation](http://jneuroengrehab.biomedcentral.com/)","snPcode":"12984","submissionUrl":"https://submission.nature.com/new-submission/12984/3","title":"Journal of NeuroEngineering and Rehabilitation","twitterHandle":"@BioMedCentral","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"BMC/SO AJ","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-6769883/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6769883/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eSpatially distributed sequential stimulation (SDSS) demonstrated greater fatigue-reducing ability and power output when performing isometric or isokinetic contractions of the paralyzed quadriceps muscles compared to the equivalent conventional functional electrical stimulation (FES) in a single electrode stimulation (SES) configuration. The present study aims to systematically assess the power output and fatigue-reducing properties of SDSS versus SES applied to the paralyzed quadriceps muscles of subjects performing motor-assisted FES cycling. Four subjects without lower-limb motor function participated in two multiday experimental sessions. Each experimental session involved two stimulation phases, one with SDSS and one with SES configuration. The results of the present study show that muscles stimulated with SDSS produced significantly higher mean power values while inducing a similar amount of muscle fatigue compared to SES. These findings suggest that SDSS can be superior to SES when applied to paralyzed muscles of the subjects performing FES cycling using moderate-intensity stimulation. Further research is needed to explore applications of SDSS on FES cycling, and FES exercise in general, over longer stimulation sessions under high-intensity stimulation conditions.\u003c/p\u003e","manuscriptTitle":"Spatially Distributed Sequential Stimulation Applied to the Paralyzed Quadriceps Muscles while Performing Motor-assisted FES Cycling","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-06-26 01:18:24","doi":"10.21203/rs.3.rs-6769883/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2025-07-23T04:30:21+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-07-15T18:52:43+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-07-11T03:35:49+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-07-07T12:34:16+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"250716903324966121673793222231083286803","date":"2025-07-02T09:38:08+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"25068570072528208069929919642134562852","date":"2025-06-25T18:32:54+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"191633185668535147916980869402886906960","date":"2025-06-24T23:31:58+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"287714233133204113099561271045103831511","date":"2025-06-24T14:59:38+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-06-24T02:14:02+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-06-10T09:05:37+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-06-10T09:02:49+00:00","index":"","fulltext":""},{"type":"submitted","content":"Journal of NeuroEngineering and Rehabilitation","date":"2025-05-28T16:14:21+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"journal-of-neuroengineering-and-rehabilitation","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"jner","sideBox":"Learn more about [Journal of NeuroEngineering and Rehabilitation](http://jneuroengrehab.biomedcentral.com/)","snPcode":"12984","submissionUrl":"https://submission.nature.com/new-submission/12984/3","title":"Journal of NeuroEngineering and Rehabilitation","twitterHandle":"@BioMedCentral","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"BMC/SO AJ","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"38268307-3167-4a6f-a879-aa424cb582ab","owner":[],"postedDate":"June 26th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2025-12-01T16:01:12+00:00","versionOfRecord":{"articleIdentity":"rs-6769883","link":"https://doi.org/10.1186/s12984-025-01780-z","journal":{"identity":"journal-of-neuroengineering-and-rehabilitation","isVorOnly":false,"title":"Journal of NeuroEngineering and Rehabilitation"},"publishedOn":"2025-11-28 15:57:04","publishedOnDateReadable":"November 28th, 2025"},"versionCreatedAt":"2025-06-26 01:18:24","video":"","vorDoi":"10.1186/s12984-025-01780-z","vorDoiUrl":"https://doi.org/10.1186/s12984-025-01780-z","workflowStages":[]},"version":"v1","identity":"rs-6769883","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-6769883","identity":"rs-6769883","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}