Comparison between rigid and soft poly-articulated prosthetic hands in non-expert myo-electric users shows advantages of soft robotics

Notwithstanding the advancement of modern bionic hands and the large variety of prosthetic hands in the market, commercial devices still present limited acceptance and percentage of daily use. While commercial prostheses present rigid mechanical structures, emerging trends in the design of robotic hands are moving towards soft technologies. Although this approach is inspired by nature and could be promising for prosthetic applications, there is scant literature concerning its benefits for end-users and in real-life scenarios. In this work, we evaluate and assess the role and the benefits of soft robotic technologies in the field of prosthetics. We propose a thorough comparison between rigid and soft characteristics of two poly-articulated hands in 5 non-expert myo-electric prosthesis users in pre- and post-therapeutic training conditions. The protocol includes two standard functional assessments, three surveys for user-perception, and three customized tests to evaluate the sense of embodiment. Results highlight that rigid hands provide a more precise grasp, while soft properties show higher functionalities thanks to their adaptability to different requirements, intuitive use and more natural execution of activities of daily living. This comprehensive evaluation suggests that softness could also promote a quick integration of the system in non-expert users.


Results
Functional assessment. To evaluate the performance and functionalities of the two systems we considered 2 standard assessments, the Box and Blocks test (BBT) and the Assessment for Capacity of Myoelectric Control (ACMC). Figure 2 reports the data and the statistical analysis for both assessments. Figure 2a details the statistical results of the BBT from an n-Way ANOVA test with significance in all factors studied, except for repetitions and the interaction test between training and device. The participant improved their performance within the 3 repetitions (+ 15.68% after the first repetition, Fig. 2e)-for this reason, we considered repetition as a factor inside of the n-Way ANOVA test. Figure 2b presents the scores from the BBT, including the average of the 3 repetitions performed by each subject and its standard deviation for pre-and post-training conditions with both rigid and soft systems. The average of the group is reported for each prosthetic hand. The rigid commercial hands obtained a score of 11.47 ± 8.46 and 15.57 ± 7.70, while the soft hand got 9.8 ± 4.04 and 11.67 ± 5.31, preand post-training, respectively. Figure 2c-f present the estimated mean and standard error for different aspects of the study: the training effect, device, learning between repetitions and the interaction between training and device used. After applying the post-hoc test (details in "Material and methods" section) to prove differences among aspects inside of a factor, Fig. 2c evidences the benefit of the therapeutic training, which allows the participants to improve their performance by 28.6%. Figure 2d shows better results with the rigid devices for BBT, while the performance with soft hands degrades by 20.93%.
The ACMC includes more functional tasks and different types of grasps for the manipulation of various objects. Data extracted from the ACMC results are presented in Fig. 2g-l. Figure 2g shows a general improvement of the ACMC score after training for all subjects and both devices. The average values for the rigid hands are 38.68 ± 11.90 and 43.82 ± 10.74, pre-and post-training, respectively. Likewise, the averages for the soft hand scores are 43.66 ± 9.43 and 50.96 ± 9.08. Figure 2a reports the statistical results for the ACMC test with significance in training, devices, and subjects. The analysis of factors proves the positive effect of training (Fig. 2h) Figure 1. SoftHand Pro system overview. The hand is composed of three main components: a myoelectric poly-articulated prosthetic hand with soft properties, a passive rotational wrist module, and an outer socket embedding the inner socket for the stump of each user, containing a myoelectric interface/controller. (a) Systems architecture: The motor and the motor control boards are embedded (f) within the myoelectric hand (h), whereas the sEMG-based (b) myoelectric interface/controller (d) is housed within the socket (a, c). A unique tendon (g) connects all the pieces of the fingers (19 DoF) and several elastic bands to a motor (1 DoA) (f), creating a soft under-actuated system designed with the concept of synergies. The passive rotational wrist (e) is placed between these two modules. (b) View of the real system with its glove to increase the fingers traction when grasping. Examples of the hand characteristics in use: (c-f) soft interaction with other subjects or the user own body, (g-h) bimanual activities, (i-j) safe deformation of the fingers in contact with external forces and (k-n) the system adaptive capability to grasp the same object with different pattern grasps depending to the grasping approach decided by the user.  Figure 2j proves the different capabilities from the participants, with none being considered extremely capable in the clinical interpretation of ACMC, which reinforces their non-expert condition in myo-electric control. Their performance tendency corresponds to the one observed in BBT scores, in Fig. 2b. The interaction test in Fig. 2k proves a similar level of learning for both hands properties (rigid and soft), but a higher starting functionality in soft hands. Note that the score for rigid hands post-training is not significantly different from the score for soft hands pre-training. The analysis of the individual scoring for the 22 items of ACMC allows to extract additional information from this test. Figure 2l reports the average score per item in each experimental condition. It is possible to observe a training effect related to the characteristics of the prostheses depending on the item, even though there is a general consistency in learning (see Fig. 2k). Differences between training conditions per system evidences the items in which has been a larger learning during the training sessions. User-perception. Figure 3a shows the preconception and Fig. 3b the priorities of the participants. Regarding generic preferences, the participants disagree with a robot-like aesthetics design, while almost all agree with the importance of human-like aesthetics. Similarly, human-like aesthetics and human-like physics are the aspects with a higher priority for a desirable device. The lowest priority is given to the independent finger movements, which could be related to poor expectations because of their non-expert myo-electric users' condition.
The results of the post-training surveys are presented in Fig. 3c. For both SUS and TAPES-R* tests, a higher score implies better acceptability and satisfaction of the device. The soft hand obtained better performance with an average score of 60.5 ± 17.89 in SUS and 7.7 ± 2.17 in TAPES-R*. The latter is close to the score obtained by rigid hands, equal to 7.1 ± 1.98. In the DASH test, the lower score corresponds to higher perceived functionality, as the scale range from "no difficulty perceived" (minimum) to "unable to perform the task" (maximum). As shown in Fig. 3d, DASH scores suggest a higher perceived functionality for the soft hand (38.17 ± 7.2). This test presents two optional sections that focus on abilities in working conditions and hobbies. There, the soft hand is perceived with a similar or better functionality compared to rigid hands, presenting a score of 5 ± 11.18 and Totally Agree (5) Totally Disagree (1) Figure 3. User-perception survey results. (a) Shows participants general preferences and (b) priorities in prostheses, collected before testing the systems. (c) Summarize user-perception scores post-training. RH and SH refer to rigid and soft hands, respectively. In SUS and TAPES-R*, the higher score indicates larger device acceptability and user satisfaction. Contrarily, in the DASH, the lower score indicates less difficulties perceived by the user to perform the included activities (0 represents the minimum score). The higher average positive user-perception is highlighted in green for each survey. (d) Presents the statistical analysis for user-perception surveys.  (Fig. 3d). A larger sample of participants is required to further explore user-perception preferences because of inter-subject variability.
Embodiment assessment. This protocol evaluates the three main components that describe the sense of embodiment 36 : (a) the self-location, (b) the sense of agency and (c) the body ownership. The self-location test evaluates the physical perception of each device, applying the method used in 37 . Figure 4 shows the results with amputee subjects, where the healthy hand model obtained (see Fig. 4a) a similar underestimation as in literature [M = − 27.9%]. However, the analysis of both prosthetic devices showed a higher underestimation of the missing hand. The results proved a better reconstruction for the soft hand, with a statistically significant difference only between the healthy and the rigid hand. We also evaluated differences in terms of absolute values of the fingers length, presented in Fig. 4b, where the body model of the healthy hand differs significantly from both (e-f) Shows the analysis of the width estimation and its relation with training for each system, respectively. (g) Presents the distortion on the aspect ratio among hands, where "actual" refers to the anthropomorphic shape index of the subjects. The dashed and dotted lines refer to the real aspect ratio of the soft hand (SHP) and the rigid hand (i-limb), respectively. (h) Shows images of the experimental setup and the landmarks asked to mark. (i-m) Presents the results of the sense of agency test. All cases where the action was successfully performedmoving 5 cans or turning 5 card in less than 1 min were considered in the analysis of execution time. All cases where the subjects gave a valid response about the counted beeps were considered in the analysis of the beeps error. (n) Presents the body ownership test for s 5 , with information about the gesture time.
Scientific Reports | (2021) 11:23952 | https://doi.org/10.1038/s41598-021-02562-y www.nature.com/scientificreports/ prosthetic aids. The authors in 37 observed 3 clusters in fingers length: the thumb, the index-middle fingers, and the ring-little fingers. As visible in Fig. 4c, the middle finger results significantly different from the thumb and the little finger, while the index and the ring are in an intermediate position, still different from the thumb. The percentage of overestimation for each hand is presented in Fig. 4d (p = 0.6429). In agreement with 37 , the fingers length in the healthy hand model is increasingly underestimated from the thumb to the little finger. An opposite situation occurs for the two prosthetic systems, with a larger variation for the rigid hand with respect to healthy hands. To assess the perceived hand width model, the distance between pairs of adjacent knuckles was computed. Results in 37 showed a strong overestimation [M = 68%] with a moderate overestimation observed for the thumb-index knuckles. Contrarily, our results (see Fig. 4e) showed underestimation for most of the segments, with the largest value in thumb-index knuckles. Similar values were observed for all hands width model in pretraining ( Fig. 4f), but results suggest a strong effect after training depending on the prosthesis tested (p = 0.0539).
To assess the overall hand shape, the Napier's shape index was adopted 37 , which quantifies its aspect ratio. Results in the literature show a massive overestimation of width relative to the length, where actual was around 60 and healthy around 150. The results for prosthesis users (Fig. 4g, p = 0.3825) showed a larger actual index, and a lower perception of the healthy hand, the soft and the rigid hand shape indices (around 115).
The sense of agency test includes a motor-cognitive dual-task. Figure 4j-m presents the execution time of the action (motor task) for successful cases and the number of errors while counting beeps (cognitive task). An n-Way ANOVA test was used for different factors (prosthetic systems, pre-and post-training conditions and the motor task executed) but no statistically significant difference was found, probably because of the limited number of participants. Regarding the execution time (p = 0.3443), Fig. 4j suggests that the soft hand performed faster than the rigid hand. Figure 4k indicates improvement after training (p = 0.2831), and Fig. 4l presents the interaction between systems and training (p = 0.3704). Concerning the cognitive task, Fig. 4m shows the error while counting the number of beeps between hands for each manipulation task (p = 0.1485). While rigid hands obtained a lower rate of errors in the moving cans task, the soft hand showed higher multi-tasking capability in the turning cards task.
The body ownership test consists of observing the use of the prosthesis in spontaneous gestures. Despite 96 verbal descriptions were done by the 3 subjects, only one user presented at least one gesture with the prosthesis for each object. Data of the 32 descriptions for the most dexterous user, with both prosthetic systems in preand post-training conditions, are presented in Fig. 4n. Although there is not a clear preference between the two devices, results show lower median values and a smaller variability after therapeutic training. Observations from the other two subjects are included in the "Discussion" section.

Discussion
Functional assessments prove that, while rigid hands showed better performance in the BBT (Fig. 2d), the soft hand obtained higher scores in the ACMC. In the BBT, the reduction of compensatory movements could promote soft prostheses, but generally, conventional rigid hands allow a faster response for this task. Contrary, in the ACMC, which gives a more extensive evaluation of a hand functionality as it is based on clinical observations during gripping, holding and releasing actions, the soft hand proved to be a more functional system and promising alternative to commercial rigid hands for many reasons related to their adaptability. Further investigations point toward the role of compliant wrists on soft prosthetic arms during the execution of compensatory movements, which was out of the scope of this paper.
As shown in Fig. 5a, rigid hands allow participants to achieve more repetitive and precise grasps, presenting only two fingertips in contact with the block. Indeed, even though without significance (Fig. 2a), the interaction test suggested a larger improvement after training with the rigid hands in the BBT (Fig. 2f). Nonetheless, the lack of adaptability leads to larger compensatory movements for rigid hands, as suggested by the shoulder position in the photo-sequence of Fig. 5a. Contrarily, softness permits interaction with multiple contact points when grasping, and enhances a more natural body posture (see Fig. 5a). Despite this, participants relied more on visual feedback when using soft hands, suggesting that the lack of sensory feedback could cause a higher grasp uncertainty. Figure 2g shows a higher ACMC score on average for the soft hand, probably thanks to its adaptability to different situation requirements and objects. ACMC results suggest a consistent improvement after training (about 7 points) with both rigid and soft systems (Fig. 2k). Figure 5b presents a subject doing clothes manipulation with both soft and rigid prostheses. Even if encouraged by the experimenter to exploit hand functionalities, the subject uses the rigid hand only as an extension of the stump but actively uses the soft hand to complete the task. In addition, despite rigid poly-articulated commercial hands give the possibility to switch among grasping patterns, we did not observe any intentional selection of different hand configurations during the assessment (not even during post-training sessions). If it occurred, it was by error and disrupted the flow of the action. Note that nonexpert myoelectric users could experience fatigue in using switching techniques due to difficulties in performing individual muscle contraction. Subjects may require extensive training to incorporate this feature in their ADL.
In the ACMC, the analysis of the scoring per item highlighted larger learning (after only 4 h of training) with the soft hand in many aspects. Among those, items as 4, 10, 14, 20 and 22 (Fig. 2l), which are related to intuitive use and reliability on the device. As shown in Fig. 5c-f, soft technologies promote a more natural posture, that increases control capabilities and grasp reliability during the holding phase ( Fig. 5c-e). Some participants even performed a secondary action with the contralateral hand while holding the primary object with the soft hand ( Fig. 5f-g) or feel confident in speaking while executing a task (Fig. 5h). Contrarily, Fig. 5i-m show that most of the participants did not feel confident in holding and moving objects with the rigid devices. This issue could be related to grasp reliability or to poor control skills. Nonetheless, users with higher control expertise could still present a reliable holding, as in Fig. 5n. Items 5, 19 and 21 (Fig. 2l), which also present a faster improvement www.nature.com/scientificreports/ between pre-and post-training conditions for soft properties, are related to more natural coordination with the contralateral arm. We observe more dexterous coordination during bimanual activities with the soft hand. Thanks to the softness and the adaptability of the SHP (Fig. 5o-t), users experience a safer and more intuitive grasp. This is evident when performing advanced activities, such as closing a soft bag (Fig. 5o) or folding clothes (Fig. 5p-q), precise actions (Fig. 5r) or holding fragile objects without support (Fig. 5s-t). In the latter, proper control of the force applied is fundamental for the success of the action. In contrast, most of the participants used the rigid device only as firm support to anchor objects (Fig. 5u-w). The poor adaptability of rigid hands can force the arm configuration into a more uncomfortable body position (Fig. 5x-z).
Giving the small number of participants and the variability among subject preferences, it is not possible to extract statistically significant conclusions from the self-evaluation. Nonetheless, the soft hand reached very good acceptability at SUS for 3 subjects (Fig. 3c), with a score close or higher than 68 (the average score in literature to consider a device accepted). On the contrary, commercial rigid devices never passed the acceptance criteria. In the TAPES-R*, rigid and soft devices reached comparable scores on the design satisfaction, even though the SHP is a research system under development. As suggested in 38 , TAPES-R should include two subscales inside of the satisfaction subsection, one for aesthetics and one for functional aspects. A unique value of satisfaction can mislead information about these two aspects, and a further investigation on the aesthetics should be included in future studies. In DASH, the soft hand obtained lower scores (better outcome) when participants perceived functional differences between prostheses. The authors believe that the participants' promising attitude towards soft proprieties is related to their appreciation of the SHP intuitive use, soft interaction and adaptive capacity. www.nature.com/scientificreports/ Despite the soft hand presents a closer resemblance to the healthy hand model in the self-location test (Fig. 4a), both soft and rigid prosthetic devices obtained similar finger lengths in absolute values (Fig. 4b).
The smaller dimensions of the SHP compared to the i-limb could have influenced this finding. Regarding the radial-ulnar effect for prostheses, the thumb showed the strongest underestimation in Fig. 4d, especially for the rigid hand. This misperception could be influenced by the lack of opposition (or palm) in the design of both devices, making users perceive a shorter and less functional thumb than in human hands. Figure 4e shows a larger underestimation of the thumb-index knuckles compared to the literature (healthy subjects). This aspect reinforces the previous hypothesis of associating this misperception with a lack of anthropomorphism in the design or functionalities of the robotic thumbs. We observed an opposite effect of training for the two design solutions in Fig. 4f. This effect may occur due to the lack of movement in the transversal direction in rigid commercial prosthetic hands, which usually are designed to only favour fingers flexion/extension, neglecting the human capability of fingers adduction/abduction. However, the synergistic design of the SHP allows for a minimal transversal displacement of its fingers. This difference in the design could affect the perception of the hand width model and proves the actual visualization of the corresponding prosthesis during the experiment. Finally, in agreement with the literature, the aspect ratio of the human hands (i.e. actual) and the prosthetic devices (marked with dashed and dotted lines in Fig. 4g) showed larger fingers than the hand width, while all body models got a larger width than the perceived finger lengths.
During the sense of agency test, the poor adaptability and the need for compensatory movements of the rigid hand adversely affected the execution time in motor tasks (Fig. 4j). The considerable post-training improvement observed with the soft hand in Fig. 4l could indicate higher expertise acquired through the training session.  Figure 6a shows a natural posture with the soft hand, where the prosthesis becomes part of user's body image. The user gestured with his two hands to express mainly sizes (Fig. 6b) or complex object shapes (Fig. 6c). Only when using the soft hand, we observed the inclusion of the system for non-representative gestures (i.e. rhythmic gestures used to emphasize words and interactive gestures directed at the addressee) even in the pre-training condition (Fig. 6d), suggesting a higher preliminary sense of ownership. Contrarily, Fig. 6e, i and m show how for the soft hand post-and the rigid hand in both pre-and post-training conditions, the user rests the prosthesis on his leg, discouraging its inclusion. In these conditions, the participant mostly uses the intact hand to support the description of the objects (Fig. 6f, j and n) and uses both hands only for objects with higher dimensions (Fig. 6g, h, k and o). Figure 6l and p show the user gesturing with the rigid hand to describe the object shape or for non-verbal communication, respectively. Although the distinction among gestures was out of the scope   Fig. 4n for Subject 5 suggest a lower gesture rate and a smaller variability with both devices in post-training conditions, which could be related to tiredness. Gestures are often the representation of a personal motor experience, and it was proved that speakers gestured more when describing actions manually executed previously 40,41 . It is possible that the condition of non-expert myo-electrical users has a strong effect on the participants' gesture rates. Despite the body ownership test, designed by 39 , offers a systematic methodology, the authors believe that including objects used during the training could be beneficial to study this effect in prosthetics. We present some interesting though anecdotal observations of the two other patients (Subject 4 and Subject 3). While Subject 4 never used the rigid hand to support the description of objects, he occasionally showed some movements with the soft hand. This could be related to several aspects, such as the difference in weight or encumbrance, but it may be a preliminary expression of the embodiment of the prosthesis. As shown in Fig. 6q, the subject did not use often the intact hand to communicate, and he did only after specific questions from the experimenter about the size of an object (Fig. 6r: Grater-manipulable object) or for an object that is difficult to verbally describe (Fig. 6s: Whisk-manipulable object). During the test with the soft hand, the user spontaneously used both hands to describe an action commonly executed (Fig. 6t: Rolling pin-manipulable object) for 5.33 s. These observations are supported by the experience of Subject 3. The participant did not use the rigid hand to support the description of objects either, and kept the device in a resting position (on the table) during the whole test (Fig. 6u). The subject only moved the intact hand during the experiment, but sometimes we observed involuntary changes of the i-limb grasping pattern (e.g. in Fig. 6v). Difficulties in controlling the system could discourage its spontaneous use. During the first day with the soft hand, the user included the prosthesis not only in his posture (Fig. 6w) but also in his body language to describe the shape of a light bulb (Fig. 6x-non-manipulable) for 3.77 s.
Overall, the results from the embodiment assessments showed a body model representation closer to reality and a larger number of spontaneous gestures when using the soft hand. Moreover, the results suggested a higher multi-tasking capability with the soft hand than with its rigid counterparts. These preliminary observations suggest a higher embodiment of soft properties and encourage future investigations in this matter.

Material and methods
We designed an experimental protocol to compare the performance and user-perception of two myoelectric prostheses with different design features, one with soft and one with rigid properties. A group of non-expert myo-electric users tested the two devices in pre-and post-training conditions. Their naïve condition allows to observe not only their evolution throughout the training but also which features favour a more intuitive usage or a faster integration. All the participants tested both prosthetic systems, and we compared the results in a paired way.  Unit. Inclusion criteria were: (1) age between 18 and 85 years; (2) upper limb impairment related to limb loss; (3) ability to give informed consent. Subjects' demographics at the time of evaluation are reported in Fig. 7c. Four subjects have a left-hand amputation and only one person presents a right-hand amputation. All participants are non-expert myo-electric users and regularly use a cosmetic prosthesis.

Ethics statement.
Experimental setup. The experimental setup comprised a rigid and a soft artificial hand, controlled with 2 surface EMG sensors. As rigid hands, the i-Limb Ultra hand 5 (Össur) and the Bebionic hand 4 (Ottobock) were used by participants with a left side and right side amputation, respectively. The i-Limb Ultra has five individually powered digits and offers an electrically rotating thumb with a manual override. Likewise, the Bebionic hand has individual motors in each finger that coordinate for the execution of several grips. The soft hand tested is a research system named SoftHand Pro (SHP).
Soft system overview. The SHP is a prosthetic device with 19 DoFs controlled by one motor (see the system architecture in Fig. 1a). Designed through the concept of soft-synergies, the SHP integrates flexible roll-articular joints connected with elastic bands. Softness results especially useful and innovative for social interaction with others (e.g. Fig. 1c-d) and with the user's own body (Fig. 1e-f). Figure 1g-h presents examples of coordinated bimanual tasks that are enhanced by its adaptive capability. Its softness increases the system robustness, which permits extreme finger configurations as in Fig. 1i-j with no risk of damage. With only one motor, its polyarticulated features and adaptive design allow the execution of multiple grasps by exploring the environment (e.g. Fig. 1k-n).
During the experiments, all prosthetic hands were connected to a passive rotational wrist (Hand Chassis with Quick Disconnect Wrist, Ottobock) for prono/supination hand orientation. A customized socket was fabricated for each subject with the help of a trained prosthetist. Two surface EMG sensors (13E200 MyoBock electrodes) were integrated into the socket to detect the electrical activity in the muscle and control the terminal device. Commercial poly-articular hands use different techniques (i.e. muscle co-contraction, long open activation, etc.) to switch between grip patterns. The control of the range of aperture/closure is usually with Proportional Velocity Control (PVC) ( 42 for a review), as the control of the SoftHand Pro. The therapist considered PVC a suitable control solution for all the participants. The subjects selected 4 of the automated grips for both commercial devices and defined the switching input modality according to their preferences with the help of a technician. Some of the most common grips chosen were fine pinch and three-digit grasp.
Experimental protocol. After recruitment, the protocol includes 2 experimental sessions interspersed by a week break. Each session focuses on one system and comprises 2 consecutive working days of alternating training and testing. To avoid user's risk of fatigue, we divided the therapeutic training into the two days. The presenting order of the systems (rigid/soft) was randomized among subjects. Figure 7a presents a schematic of the experimental protocol and the selected outcome measures. The experimental protocol was designed with the guidance of occupational therapists, involved also during the experimental sessions. Because of job requirements and time constraints, two subjects could not participate in the embodiment experiments (see Fig. 7b).
The protocol meets the following steps: 1. Day 1 screening of the systems involved, followed by the enrolment of the patient. A therapist supervised this process to check participants' medical history and collect informed consent. No detailed information was given about the capabilities of the systems under study not to influence their perception, neither create unrealistic expectations, as suggested in 43 . 2. The users answered a survey about general preferences and priorities in upper-limb prostheses (see Fig. 3a-b). 3. Day 2 system training (e.g. calibration) and a short familiarization. The thresholds and gains inside of the control loop were customized and adjusted for the participant. 4. Right after, a pre-training testing phase was conducted. The user performed 2 standard assessments, the Box and Blocks test (BBT) and the Assessment for Capacity control of Myoelectric Control (ACMC), and 3 customized tests regarding embodiment. 5. Then, the user trained for 2 h with the therapist. Prosthetic training is a dynamic process that includes orientation, control, use, and ultimately, activities of daily living 44 . 6. Day 3 Starts with 2 h training, following what participants learned the previous day. The training activities slightly changed depending on the individual response and level of dexterity of the participants. 7. Then, post-training testing was conducted, following the same activities of step (4). 8. Once the evaluation of a system is completed, the user responded to three standard outcome surveys (SUS, TAPES-R* and DASH) accounting for user-perception. 9. Day 4 and 5 The same process described in steps (3-8) was repeated with the other system after a week of rest.
More details can be found in the media attachment (S1) and in Supplementary Material and "Material and methods" section. The heaviest object grasped during the experimental protocol weights 1 kg (during the ACMC test).
Functional assessment. The 45 and it is used with a wide range of populations (i.e. not specific for prosthetics). The user has to move the maximum number of blocks, one by one, from one compartment to another within 60 s (see an example in Fig. 4a). We repeated this action 3 times. To evaluate advanced functionalities and manipulation skills, we included the ACMC test. It is the first outcome assessment specifically designed for myo-electric prostheses. The ACMC is an observational-based assessment measuring a person's ability to operate a myo-electric prosthetic hand when performing ordinary life activities 46 , as seen in Fig. 4b. The test comprises 22 items divided into 4 subsections (Gripping, Re-adjusting Grip, Holding, Releasing) and scored on a 4-point rating scale by a certified observer. Items differ in movement and level of difficulty. In this protocol, 4 tasks were selected and randomized among participants, sessions and devices. These 4 tasks are: setting of the table for breakfast, preparing a cake, packing of a suitcase and the organization of a post box. It is recommended to avoid task repetition to keep the subject motivated and to accomplish the tasks spontaneously in their usual way.
In 46 , the ACMC proved to be a valid, reliable and sensitive evaluation of qualitative aspects of myo-electric control and hand features. It observes changes over time and especially when the user is not an expert. For this reason, the choice of naïve users creates a unique opportunity to highlight important aspects related to the prosthetic devices and their effect on subjects' learning.
User-perception. Large changes in manual dexterity skills can have a different effect on client-rating measures. For this reason, it is fundamental to consider different aspects in the self-evaluation of an experiment 47 . We asked the user to complete the SUS, TAPES-R* and DASH surveys at the end of each system session.
The system usability scale (SUS) 48 gives information about the acceptability and usability of a system. TAPES-R 38 is a survey widely used in lower-limb amputees and related to the impact of the device usage on the subject's quality of life. It was theoretically and empirically derived to enable an examination of the psychosocial processes involved in adjusting to amputation and the specific demands of wearing a prosthesis 49 . Since this study involves naïve users, we considered only the subsection regarding perceived satisfaction, and we added an asterisk to the survey name. Note that from the standard TAPES-R measure, the explored subsection only allows a maximum score of 12. The DASH 50 is commonly used for patients with upper-limb disabilities and evaluates the hand functionalities perceived by the user. The user is asked to assign a difficulty score (from no difficulty 0 to incapable 4) for specific daily living actions performed with the evaluated system. This test includes 2 optional sections about work and sport/music abilities. Embodiment assessment. Prostheses are necessary aids to recover normal appearance and functional independence, but little is known about the requirements for a good embodied experience. While this aspect is fundamental for the users' acceptance, no standard assessment faces this evaluation given its complexity and poor understanding. In 51 , Murray highlighted the importance of this aspect and the involvement of several interrelated areas. Embodiment is described as the capability of something to become incorporated into the phenomenal boundaries of the body, i.e. a phenomenological osmosis 52 . It is accepted that external systems could extend the realm of the senses and withdraw into the sensorium of the body. Therefore, it is fundamental to transform a prosthetic limb from an inert supplement or an extracorporeal structure into a corporeal one 53 . The identification of the process and steps necessary to achieve this experience could allow improvements of the rehabilitative process and the development of the properties and functional features required by subjects in their bionic aids. Even with a small group of users, the authors considered it essential to explore concepts and theories about embodiment, and study potential effects on naïve users. We focused on three components describing the sense of embodiment 36 : (a) the self-location, (b) the sense of agency and (c) the body ownership. We selected 3 related tests from the literature that could be applied to prosthetics and conducted the study with 3 (male) subjects using a rigid (i-limb) and a soft (SHP) hand.
Knowing the body's location in external space is a fundamental perceptual task, but no sensory signal is directly informative about the size and shape of our extremities. Perceiving our body location is essential for interacting with the environment, and a high distorted representation of our hand could hinder advanced manipulation skills. We can not underestimate this issue in prostheses, as users integrate an artificial system as part of their body and it should be incorporated in their body model for appropriate usage. For this reason, we evaluate a related test called self-location. In 37 , the authors tested the existence of a stored body model based on metric properties (i.e. body part size and shape) through the recognition of 10 landmarks on the hand in able-bodied subjects. The distance between the judged locations of two adjacent landmarks (e.g. the tip and knuckle of a single finger) depends only on the represented length of the body segment connecting them. This psychomorphometric approach focuses on the perception of hand shape and offers a quantitative method to study an elementary form of self-awareness in the brain. In this work, we apply the same method to evaluate the perception of each prosthetic device before and after training. As shown in Fig. 4h, we asked subjects to accommodate the hand inside a box positioned on a table. Then, they marked with a pen the presumed location of the 12 landmarks of the concealed hand on a graph paper located over the box. The position of various landmarks serves to build a spatial map of the patient's hand model and we contrast the results with those of their intact hand. Figure 4h shows the experimental setup and a representation of landmarks to be drawn for each hand of study. For our study, the percentage of overestimation was calculated as (100 × judged length-actual length)/actual length. The shape index was defined as 100 × (width/length) and calculated for user's healthy hand, both prosthetic systems and the anthropomorphic values of the healthy hand (i.e. actual). The length of the middle finger and the distance between index-little finger knuckles were used.
The sense of agency is described as the consciousness of being the initiator of a body action 54 . To study this aspect, we evaluate the simultaneous performance of a simple manipulation task combined with a cognitive Scientific Reports | (2021) 11:23952 | https://doi.org/10.1038/s41598-021-02562-y www.nature.com/scientificreports/ task. The cognitive task consists in the counting of a random number of beeps that occur in a maximum of 60 s. Whereas the manipulation task ( Fig. 4i) consisted in either one of two different actions: moving 5 cans from one position to another and turning 5 cards upside down. Inspired by the Jebsen-Taylor Test, five cans (height, 9.5 cm; diameter 7.5 cm) with two different weights (weighting < 20 g and 0.45 kg, respectively) were randomly placed in front of the board. Subjects should lose the focal awareness of the prosthetic aid and use it as a practical extension of their body. We hypothesize that hands with a higher embodiment allow the user to execute accurately the counting action while being faster in accomplishing the manipulation action.
To assess body ownership, we considered the involvement of the prosthetic hand in spontaneous activities. Several studies have focused on different aspects of self-expression and gestures, which are strongly related to the sense of embodiment 55 . Gestures occur often with content that evokes imaginary 56 or when speakers reflect events that emphasize spatial and motoric information 57 . In 39 , the authors designed a systematic method that showed a connection between object characteristics and representation techniques in spontaneous gesture production. Results in 39 suggested that embodiment could be related to the functionality/dexterity perceived by the subjects and the capability to imagine themselves producing such actions. Inspired by 39 , our experiment consists in presenting images (displayed on a laptop screen) of several objects in a randomized order. The prosthesis user is asked to describe the objects to a listener, as if this one should go later to a department store and buy them. The listener should be able to visualize the objects in a paper brochure, in which all objects appeared forming a grid. It is possible that intensive training or specific hand properties influence a higher capability to perform body language.
Statistical analysis. The acquired data were analyzed in MATLAB (MathWorks). All data were reported as mean values ± SD (unless elsewise indicated). For functional assessment and embodiment evaluation, n-Way analysis of variance (ANOVA) test was applied to include different factors that may influence their results. Post hoc correction was executed for multiple groups of data, specifically a Tukey test. We applied paired-sample t-test for surveys comparing rigid and soft hand scores. Significance levels were 0.05. In the captions of the figures, we reported the used statistical tests for each analysis and its result.