Keywords
motor unit, muscle reinnervation surgery, neuromuscular junction,
electromyogram, prosthesis control, neuroprosthetic
Abstract
After amputation, advanced prosthetic limbs offer a promising means of restoring motor
function. However, state-of-the-art prostheses often rely on aggregate electromyogram
(EMG) signals to decode motor intention, which limits their ability to replicate natural
limb movements. Decomposing EMG signals into individual motor unit components has
shown potential for more natural control, but distinguishing between individual units can
be challenging when nearby signals overlap. This study demonstrates that muscle target
reinnervation surgeries can naturally increase physical separation between motor unit
signals, thereby mitigating this overlap. Reinnervation of individual motor units is
evaluated in a rodent hindlimb model after direct nerve-to-muscle implantation.
Histological and electrophysiological analyses reveal that structural changes following
reinnervation surgery result in beneficial motor unit signal changes, particularly
improving spatial separation between motor unit signals compared to those in intact
muscle. This spatial separation contributed to fewer instances of complex, overlapping
signals in reinnervated muscle recordings. Motor unit signals were leveraged to provide a
proof-of-concept of precise control of a virtual prosthesis for the first time after direct
nerve-to-muscle implantation surgery. These findings highlight the potential of
reinnervated muscle targets as key biological interfaces that facilitate motor unit
separation, reducing the burden on decomposition algorithms and improving prosthetic
control.
Kiara N. Quinn and Siyu Wang contributed equally to this work.
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1. Introduction
Following amputation, state-of-the-art robotic limbs offer the potential to restore motor
function [1,2]. However, even the most advanced prosthetic devices fall short of replicating
the full range of capabilities, natural motion, and dexterity of the lost limb, leading to high
rates of device abandonment [3]. In an intact limb, precise movement control emerges from
the coordinated activity of numerous motor units, which serve as the basic building blocks
of the neuromuscular system [4]. Each motor unit, defined as a single motor neuron and the
muscle fibers it innervates, contains detailed information about intended movement
dynamics. In contrast, control of artificial limbs often relies on the aggregate
electromyogram (EMG) signal produced by the muscle, which provides an approximation
of summed motor unit activity, but overlooks finer details [5,6]. Therefore, current control
strategies harness only a fraction of the available biological information about movement
intention. To better replicate the natural precision of a wide range of movements in a
robotic limb, recent research has shifted towards developing ways to reliably acquire
individual motor unit signals to closely emulate the human motor system [7–9].
Advanced decomposition algorithms offer a promising approach for recording EMG
signals with high-density electrode arrays and separating the mixed signal into its motor
unit components [10,11]. By identifying each motor unit’s unique characteristics, these blind
source separation algorithms can sort units without any prior knowledge about the sources,
similar to how a person can aurally distinguish between two different conversations
happening in the same room without prior knowledge of who is talking or the topic of
conversation [12]. Despite considerable advancements, decomposition algorithms continue
to face challenges in complex scenarios. For example, when multiple motor units near the
same electrode contact are active simultaneously, their signals merge into a superimposed,
complex waveform, making it difficult to distinguish between individual units [13]. One
approach to separate these overlapping signals involves algorithms like the peel-off
method, which iteratively identifies and subtracts, or ‘peels-off,’ the most prominent
motor unit signal from the composite waveform [14]. However, this process is not as
effective in cases of destructive interference, where two signals cancel each other out, or
in cases of significant signal overlap [15]. Alternatively, advancements in hardware,
particularly high-density electrode technology, can enhance the isolation of individual
signals. Theoretically, increasing electrode density increases the likelihood that each
contact captures signals from fewer motor units, thereby reducing instances of signal
superposition [16,17]. Yet, in practice, the density of electrode contacts can be limited by
physical constraints and cost considerations. These limitations highlight the need for
innovative approaches to efficiently resolve superimposed waveforms.
To augment the existing software and hardware strategies above, we propose leveraging
advanced surgical techniques, specifically muscle target reinnervation surgeries, to create
natural physical separation between motor unit signals, thereby reducing signal overlap
and complexity. Fundamentally, muscle target reinnervation surgeries help salvage nerve
function after amputation by redirecting the axons regenerating from the severed nerve to
a denervated muscle target (Figure 1A). Once the target muscle is reinnervated by the
nerve, it serves as a biological amplifier of neural signals, producing high-amplitude EMG
signals that can facilitate intuitive prosthesis control [18–21]. Herein, we aim to
demonstrate that reinnervated muscle targets can also act as biological separators,
resulting in larger physical separation between motor unit signals (Figure 1B).
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Figure. 1. Overview of r einnervated muscle as a biological separator of motor unit
signals. (A) Nerves severed during amputation can be surgically redirected to a new,
denervated skeletal muscle target for reinnervation. (B) In intact muscle, motor unit signals can
overlap spatially . In contrast, we hypothesize that structural changes that are inherent to
reinnervation will lead to increased physical separation between motor unit signals . (C) We
anticipate the increased spatial separation between motor units will lead to less signal overlap
in reinnervated muscle compared to intact. Ultimately, we envision this enhancing the
decomposition of motor units for improved decoding that will enable more natural prosthetic
control that more closely emulates the fine motor control exhibited by the lost limb.
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More specifically, we hypothesize that two structural changes inherent to the reinnervation
process will contribute to less overlap between motor unit signals in reinnervated muscle
targets compared to natively innervated, intact muscle (Figure 1C). Firstly, during the
reinnervation process, axons can either 1) re-establish connections, known as
neuromuscular junctions (NMJs), that were previously occupied by the original nerve or
2) create new connections in areas where these NMJs are not natively found [22,23]. We
hypothesize that the creation of abnormally located connections can lead to more physical
separation between NMJs, resulting in enhanced spatial separation between motor unit
signals compared to intact muscle. Secondly, previous histological studies have
demonstrated muscle fibers that belong to a single motor unit ‘clump’ together following
reinnervation, contrasting with intact fibers that are evenly distributed throughout the
muscle [24,25]. We aim to demonstrate that this structural clumping translates to smaller,
more concentrated motor unit signal territories that minimize the overlap between
different signals.
In this study, we achieve reinnervation in a rodent model by implanting the amputated
nerve directly into the muscle target via ‘direct nerve-to-muscle neurotization’ [26]. We
intentionally place the nerve opposite of the original innervation site to maximize the
amount of space for ectopic NMJs to form as axons regrew toward the original nerve
(Figure 1B). After reinnervation surgery, we first validate that motor units successfully
reinnervate the muscle by investigating compound motor signals across the reinnervation
period (15, 50 and 90 days post-reinnervation surgery). Second, we show histological
evidence of abnormal NMJ formation. Next, we use high-density implantable electrodes to
show motor unit signals in reinnervated muscle targets are more spatially separable
compared to intact controls. Finally, we demonstrate a proof-of-concept of harnessing
motor units for precise control of a virtual prosthesis. Our findings show that structural
changes during reinnervation translate to changes in signal separability, thus showcasing
the capability of muscle target reinnervation surgery to naturally create physical separation
between individual motor units for prosthesis control. By increasing the spatial
distribution of motor units, this approach can reduce overlap between motor unit signals,
leading to fewer instances of superimposed signals, mitigating the burden on advanced
decomposition strategies.
2. Results
2.1. Motor units reinnervate muscle
targets over time after direct
neurotization
Multiple variations of muscle target
reinnervation surgeries are performed
in the clinic, including targeted muscle
reinnervation (TMR) [19,21],
regenerative peripheral nerve interface
(RPNI) [18], and vascularized
denervated muscle target (VDMT) [27],
the last of which is utilized in the
present study. Although the main
Objective
of these variations is the
same—salvaging residual nerve
function by providing a muscle to
reinnervate—each achieves this goal
Figure 2. Rodent surgical model. The soleus muscle and
distal tibial nerve were employed to replicate a clinically
significant muscle reinnervation surgery. The tibial nerve
was deliberately severed to mimic amputation and
subsequently sutured to a denervated soleus muscle target
for reinnervation. Importantly, the nerve was transferred on
the opposite side of the original innervation site. Each rat
underwent surgery on the left hindlimb while preserving the
intact soleus on the right hindlimb as a control.
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differently. The cut nerve in TMR is connected to the nerve that originally innervates the
muscle target, in an approach known as nerve-to-nerve ‘coaptation’ [19]. In contrast, in
RPNI and VDMT techniques, the residual nerve is connected directly to the muscle belly,
also known as nerve-to-muscle ‘direct neurotization’ [26]. Unlike nerve-to-nerve
coaptation, direct neurotization offers the surgeon the flexibility to vary the location of the
nerve. We opted for this because we intentionally wanted to maximize the amount of
space for ectopic NMJs to form by implanting the amputated nerve farther from the
original innervation site. We transected the distal tibial nerve just before it splits into the
medial and lateral plantar nerves and then transferred it to a denervated soleus muscle
target in the rodent hindlimb (Figure 2) [27]. The transected nerve was connected to the
muscle target on the side opposite the original innervation site. The most common clinical
practice is to direct the nerve, when possible, into the innervation zone for optimal
reinnervation, which has also been reported in research studies [19,28]. Thus, it was critical
that we first assessed the quality of reinnervation in our variation. Reinnervation was
assessed in three groups at 15 days, 50 days, and 90 days post-reinnervation surgery (n=8
rats per group). Additionally, in the 90-day group, innervation of the intact soleus in the
contralateral leg was evaluated, serving as a control (Figure 2). We electrically stimulated
the sciatic nerve to evoke compound motor action potentials (CMAPs) from the muscle as
shown in Figure 3A-C and Movie S1. By incrementally increasing the amplitude of the
stimulation pulse (Table S1), we were able to estimate the number of functional motor
units innervating the muscle using methods from ref. [29] (Figure S1,S2). As expected, it
was observed that the estimated number of functional motor units that successfully
reinnervated the muscle target gradually increased from 15 to 90 days post-surgery
(Figure 3D, means and standard deviations reported in Table S2). Further, an increasing
trend in maximum CMAP amplitude was noticed across the reinnervation period (Figure
3E, Table S2). Although the signal amplitude of the reinnervated muscle was still lower
than the intact soleus (p = 0.0262), the number of motor units at 90 days post-
reinnervation was not significantly different from the contralateral control muscle (p =
0.7489). These results demonstrate that even with nerve implantation opposite of the
original innervation site, a sufficient number of motor units are available to serve as
Figure 3. Motor unit number estimation and signal amplitude across reinnervation. (A) Fifteen, fifty, or
ninety days post -reinnervation surgery, the sciatic nerve is electrically stimulated with incremental current
pulses using a bipolar hook electrode. (B) Compound motor action potentials (CMAPs) are simultaneously
recorded from the soleus muscle target using a fine needle electrode. (C) Representative CMAPs are shown
for 15 days (gray), 50 days (blue), and 90 days (navy) post -reinnervation surgery in addition to the intact
soleus (gold). (D) From the CMAPs recorded, we observed an increasing trend in the number of motor units
reinnervating the muscle over time. Importantly, the number of reinnervated motor units is not significantly
different from the intact muscle (p = 0.7489). (E) The maximum CMAP amplitude also increases over time,
indicating that reinnervating axons are innervating more muscle fibers over time. The maximum CMAP
amplitude at 90 days post reinnervation is still significantly lower than the intact soleus.
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control sources for prosthesis control after reinnervation.
2.2. Spatial distribution of neuromuscular junctions changes after direct
neurotization
We hypothesized that increased spatial separation between motor unit signals results from
underlying structural changes that occur during reinnervation. NMJs serve as the physical
connection between a peripheral nerve and its muscle target, facilitating the transmission
of neural signals to the muscle. In healthy, intact muscle tissue, the spatial distribution of
NMJs (i.e., location and density) is highly structured and conserved, varying according to
the orientation of muscle fibers within specific muscle types [30]. Following reinnervation
surgery, the anticipated restructuring of NMJs was assessed using beta-III tubulin and
alpha-bungarotoxin staining to identify axons and NMJ structures, respectively. Utilizing
three-dimensional muscle tissue reconstruction, serial sections of muscle histology were
stacked to enable visualization of NMJ distribution throughout reinnervated and intact
muscle; averages of all the muscles within the intact and 90-day reinnervated group are
shown in Figure 4A-B. In the top view of the intact muscle, few NMJs are in the proximal
third region of the muscle (Figure 4A, Figure S3); in contrast, in reinnervated muscle
tissue, a higher density of NMJs exists in the proximal third area in which the nerve was
implanted during surgery (nerve implantation site is designated by a blue arrow in Figure
4A). Moreover, from the side view of the averaged muscles, there are an increased number
of NMJs in the upper right quadrant (Figure 4B, Figure S3, Movie S2). To quantify the
spatial separability of NMJs, the distances between NMJs on each section were modeled
using a Rayleigh distribution. The spread of this distribution (a) offers insights into the
dispersion of NMJs within the tissue sample. Higher spread implies wider dispersion of
NMJs, whereas a lower a suggests a higher number of NMJs are in closer proximity to
one another. Notably, NMJs in reinnervated muscle targets at 90 days post-surgery
exhibited a wider distribution (a = 2.48 ± 0.85) compared to intact muscle (a = 1.54 ±
0.03, p = 0.0571, Figure 4C). Furthermore, we show evidence of clumping within motor
units that aligns with the findings of previous studies [24,25]; Figure 4D depicts NMJs from
one motor unit clustered close together in space. This clumping pattern is hypothesized to
contribute to smaller motor unit areas and minimal overlap between motor unit signals, as
explored in the following section.
2.3. Spatial separation between motor unit signals
To assess whether changes in NMJ spatial distribution manifested as changes in motor
unit signal distribution, we employed high-density electrode recordings to create spatial
maps of motor unit electrophysiology. More specifically, we utilized two 32-channel
epimysial arrays per muscle [16] (Figure S4). To ensure consistent placement across
muscles, we positioned two rows of electrodes above the nerve implantation site and
evenly spaced the columns to cover the full width of the muscle. Individual motor unit
signals were isolated from the summed activity recorded at each electrode contact to
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100 m/uni03BC
Top View
Side View
Proximal
Distal
0
6
5
4
3
2
1
0 2 4 6 8 10
Distance from neighboring NMJ (mm)
0.1
0.2
0.3
0.4
Probability of occurrence
Reinnervated (90 days)
Intact muscle
0.5
D
A
C
B
Number of NMJs in a given area
Axon entry point into muscle
Beta-III tubulin
Alpha bungarotxin
50 m/uni03BC 50 m/uni03BC
50 m/uni03BC
50 m/uni03BC
100 m/uni03BC 100 m/uni03BC
100 m/uni03BC
20 m/uni03BC
10 m/uni03BC
Reinnervated MuscleIntact Muscle
Dorsal
Ventral
Intact Muscle Reinnervated Muscle
Figure 4. Neuromuscular junction distribution and structural changes leading to
separability Average NMJ distributions across all muscles are shown from the top and side view in (A)
and (B), respectively. A yellow arrow designates the original innervation site, whereas the blue ar row
designates the implantation site of the transferred nerve. Notably, there are a large number of NMJs
near that transferred nerve in reinnervated muscle that are not normally present in intact muscle. ( C)
This formation of ectopic synapses leads to the wider distribution of NMJs in reinnervated muscle
compared to intact muscle, leading to enhanced separability. ( D) Clumping within a motor unit can
occur when a single axon enters one point on the muscle and reinnervates NMJs nearby one another.
Four reinnervated NMJs are labeled with a light red triangle. Axons and neuromuscular junctions
(NMJs) are stained using beta -III tubulin (green) and alpha -bungarotoxin (red). A zoomed in view
(bottom) shows large regions of yellow overlap, showing successful reinnervation.
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generate an interpolated spatial map of motor unit activity (Figure 5A-D). The spatial
maps of reinnervated muscle (Figure 5E) exhibited fewer instances of overlapping motor
unit territories (territories were defined herein as regions with >90% signal intensity)
compared to those in intact muscle (Figure 5F and Figure S5). Importantly, increased
distance between NMJs showed a strong positive correlation with increased distance
between each motor unit signal’s center of mass (r = 0.82, p = 0.0235), demonstrating that
structural changes in muscle physiology manifested as changes in motor unit signals
(Figure 5G).
The average number of separable motor units, conservatively defined as those with <70%
overlap with another motor unit territory, was 7.88 ± 3.76 and 6.33 ± 2.42 in reinnervated
muscle 90 days post-surgery and intact muscle, respectively (Figure 5H, p = 0.647). To
quantify how distinguishable these units were from one another, we utilized Jensen-
Shannon Divergence to assign a numerical score reflecting the dissimilarities between
each motor unit’s spatial territory in each animal (e.g., size, shape, location of motor unit
territory) [31]. We observed that motor units at 90 days post-reinnervation were more
dissimilar in size, shape, and location (198.38 ± 113.42) compared to units in intact
controls (59.82 ± 42.81, p = 0.0173), which indicates a more distinct or separable spatial
distribution (Figure 5I). We then further analyzed how much of this
dissimilarity/separability was a result of physical separation between motor unit
territories. It was observed that the distances between motor units’ center or masses are
larger in reinnervated muscle at 90 days (2.69 ± 1.52 mm, n=349 units) compared to intact
controls (1.65 ± 1.34 mm, n=116 units), emphasizing the enhanced physical separation
between motor units (Figure 5J, p = 5.431 x 10-11). We show that the areas of individual
motor unit territories were smaller in reinnervated muscle (0.13 ± 0.12 mm) compared to
intact (0.35 ± 0.52 mm, Figure 5K, p = 0.0194). Smaller territories imply the signal is
more concentrated in one area, which can contribute to less overlap between units. We
performed a correlation analysis to determine the effect of physical separation between
units and area of each unit territory on the number of units that can be separated (Figure
5L-M). As expected, average physical distance between units was found to have a strong
positive correlation with the percentage of units that could be separated (r = 0.84, p =
0.0361); the average areas of unit territories were found to have a mild to moderate
negative correlation with the percentage separable (r = -0.61, p = 0.1482).
Next, we further parsed out how the physical separation between unit territories affected
the recorded signals, particularly the frequency of superimposed, complex signals and the
ability of our sorting algorithm to distinguish between signals. Each spike detected in the
recording was blindly rated as either simple or complex (Figure 6A). The percentage of
complex spikes out of the total number of spikes in the recordings was higher in intact
muscle (32.66 ± 4.18%) compared to reinnervated (20.87 ± 4.86%, p = 0.0006, Figure
6B). Correlation analysis revealed a higher percent of complex spikes was modestly
associated with decreased average distances between motor units (Figure 6C, r = - 0.64, p
= 0.1194) and increased average areas of individual units (Figure 6D, r = 0.5, p =
0.2532).
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Figure 5. Spatial mapping of motor unit activity and functional separability. (A) The sciatic nerve
is mechanically stimulated with forceps proximally to distally. (B) Motor units are recorded using two
high-density electrode arrays. (C-D) Motor units are separated using Kilosort3 and heatmaps are
generated using the root mean square (RMS) value of the average matched signals and cubic
interpolation. Representative spatial maps of activity from four randomly selected motor units reveal
less overlap between motor unit territories in (E) reinnervated compared to (F) intact muscle. (G)
Increased average distance between NMJs is strongly correlated with increased average distance
between motor unit signals. (H) There is not a statistically significant difference between the number of
separable units in reinnervated and intact muscle, but within individual animals, there is a slight trend
toward more separable units in reinnervated muscle compared to the contralateral leg. (I) Lower Jensen-
Shannon divergence scores indicate more similarities between different motor unit territories (e.g., size,
shape, location) within a given rat. These results demonstrate that reinnervated muscle has more distinct
motor units than intact soleus, indicating increased separability. ( J) Distance between motor units was
higher and (K) area of individual territories was smaller in reinnervated muscle was higher compared to
controls. (L-M) We show this increased average distance and decreased average area is contributes to
the percentage of units that can be separated in reinnervated muscle.
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Figure 6. Signal complexity and superimposed spikes Sample recordings from 8 electrodes are shown
from reinnervated and intact muscle in (A) and (B), respectively. Complex waveforms are designated by
a red box. (C) Notably, there is a lower percentage of complex spikes in recordings from reinnervated
muscle compared to intact. The electrode array diagram shows the four channels (boxed) used in the
analysis of percentage of complex spikes. (D) Correlation analysis reveals this reduction in signal
complexity can be partly attributed to the increased distance between units and decreased area of
individual territories.
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2.4. Volitional motor unit activity can be used to predict movement intention after
direct neurotization
In the experiments above, recordings (i.e., CMAPs and spatial maps) were achieved using
artificial stimulation methods in fully anesthetized rodents. However, since the location of
the nerve was varied compared to standard practice and this is the first investigation of
motor unit reinnervation in a direct neurotization model, it was essential to validate our
approach and determine whether volitional motor unit activity can be effectively translated
into command signals for prosthetic movements. In other words, it is unimportant whether
a large number of motor unit territories are separable if they fire indiscriminately, or all
convey the same information. To address this question, the animal was placed under a
light plane of anesthesia, such that volitional movement could be elicited by cutaneous
stimulation. Rodents point their toes (plantar flexion) in response to cutaneous stimulation
of the paw. The force produced during the plantar flexion was measured using a
conductive rubber force sensor, serving as a proxy for movement intention (Figure 7A). A
single MyoMatrix array was implanted percutaneously in an intramuscular configuration
to record motor unit activity from a reinnervated muscle target (90 days post-surgery)
during volitional plantar flexion (n=31 trials). Spatial maps of volitional motor unit
activity are shown for two representative trials: one when the animal was producing low
force (Figure 7B) and another producing high force (Figure 7C). Notably, motor units 1-
6 were active over a larger area when higher force was produced compared to motor units
1- 3 in a more concentrated area for lower force production (Figure 6B-C, Movie S3).
This trend was consistent across other trials (Figure S6); a greater proportion of motor
units were recruited during higher force outputs (46.18% ± 32.35%) compared to lower
force outputs (13.34% ± 8.08%, Figure 7D, p = 0.0015). Additionally, the average firing
rates of individual motor units were significantly higher during higher force outputs (7.56
± 3.85) compared to lower force outputs (2.72 ± 1.22, Figure 7D, p = 0.027). Motor unit
decomposition was performed using the same algorithm method as above. We then
demonstrate volitional motor unit activity can be used to reconstruct the measured force
curve (Figure 7E, F). The accuracy of the reconstruction was measured by demonstrating
a high correlation and low mean squared error between the original and reconstructed
curves (Figure 7G). This reconstructed signal was then used for precise control in a
virtual prosthetic limb as shown in Figure 7H and Movie S4 to show the potential
translational utility of reinnervated motor units. These results verify that even after
reinnervation via direct neurotization, motor unit discharge patterns can be used to infer
movement intention for prosthesis control.
3. Discussion
After amputation, advanced myoelectric prostheses can help restore motor function, but
state-of-the-art devices still lack the precise control of a natural limb, leading to frequent
abandonment [3]. To address this discrepancy, recent research has leveraged high-density
electrode arrays and decomposition algorithms to extract detailed motor unit activity for
more natural control [7,8]. A key challenge in the full realization of motor unit-based
prosthesis control is that signal overlap leads to higher likelihood of superimposed
waveforms, which can affect decomposition complexity. In this paper, we explored a
novel use of an advanced surgical approach to enhance spatial separation of motor unit
signals thus minimizing instances of complex, overlapping signals. Specifically, we
utilized muscle target reinnervation surgeries, which have already gained traction as a
therapeutic approach post-amputation, largely because they alleviate post-amputation pain
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Figure 7. Motor unit activity can be used to reconstruct force production and control a virtual prosthesis
(A) To evoke volitional motor activity, cutaneous stimulation is applied to the paw of a restrained rat. This
Results
in volitional plantar flexion of the ankle joint. The force produced during this motion is recorded using a
conductive rubber force sensor. Motor unit activity is recorded by a 32 -channel array implanted percutaneously.
Representative heatmaps of spatial activity during a 0.05 second time window are shown for (B) low force (gold)
and (C) high force (gray) production. (D) On average, higher force production during volitional movement is
associated with a significantly higher percentage of recruited motor units and a higher average firing rate. ( E)
The motor unit activity pattern is robust enough to enable force reconstruction across all trials. Eight
representative trials are depicted, including one low -force and two high -force scenarios shown in (F) the inset
image. Motor unit raster plots across the three consecutive trials are shown. (G) The measured and reconstructed
plots are highly correlated with a low mean squared error, emphasizing the utility and robust nature of the
reinnervated motor unit activity. ( H) Finally, motor unit activity was used to control the joint movement of a
virtual prosthetic limb that closely mimics that actual movement of the animal.
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[27] and can function as bio-amplifiers of residual nerve signals for prosthetic control [32].
For the first time, we illustrate the ability of reinnervated muscle targets to also serve as
bio-separators of motor unit signals. We demonstrated that structural changes that occur
after direct nerve-to-muscle neurotization, particularly increased distance between NMJs
compared to intact controls (Figure 4A-C), manifest as increased distance between motor
unit signals (Figure 5G). Further, we show the increased spatial separation leads to fewer
superimposed, complex signals in raw recordings (Figure 6). Finally, we demonstrate a
proof-of-concept of harnessing motor unit signals for virtual prosthesis control after direct
neurotization surgery. Ultimately, this work has implications for facilitating the extraction
of finer biological signals to enable more natural control of prosthetic limbs.
3.1. NMJs distributed across larger area after reinnervation via direct neurotization
The histological analyses in our study show that after reinnervation surgery NMJs were
distributed across a larger area with increased distance between neighboring NMJs
compared to intact muscle (Figure 4C). The average three-dimensional reconstructions of
muscle sections for the intact and 90-day reinnervated group show evidence that this
change in distribution presumably occurred due to formation of ectopic NMJs. We
observed NMJs near the transferred nerve implantation site (designated by a blue arrow in
Figure 5A-B) in reinnervated muscles that are not usually present in intact soleus muscles.
This implies the implanted nerve created NMJs along the way as it grew from its
implantation point toward the original nerve site (designated by a yellow arrow in Figure
5A-B). Doing so created a wider separation between NMJs throughout the reinnervated
muscle target. This finding aligns with a previous study which shows axons can create
ectopic synapses, especially in direct neurotization [22,23]. We suspect that intentionally
placing the nerve across from the original innervation, rather than nearby, contributed to
the separation of NMJs as more area was available for ectopic synapses to be made.
Historically, most surgeons have aimed to transfer the nerve as close to the original
innervation site of the target muscle, either by coapting the transferred nerve to the motor
nerve supplying the target muscle or by implanting the severed nerve ending into the
target muscle directly adjacent to the original nerve [19,28]. This approach is intended to
enhance the likelihood of successful reinnervation, as studies have shown that
regenerating axons preferentially follow intramuscular neural tubes or "pathways" near the
original innervation site to guide their growth [22]. Importantly, we demonstrate that even
in direct nerve-to-muscle neurotization when the nerve is placed far from the original
neural tubes, the number of motor units following reinnervation of muscle targets was
not significantly different from intact control muscles (Figure 3D). This finding is crucial
as it suggests that in this surgical variation, patients could still retain an adequate number
of healthy, reinnervating axons.
3.2. Enhanced spatial separation between motor unit signals in reinnervated muscle
One key novelty of this study is that it investigates how structural changes in NMJ
distribution impact motor unit signals. Following reinnervation surgery, spatial mapping
of activity reveals that individual motor unit signals exhibited less overlap compared to
those in intact muscles (Figure 5E-F, Figure S5). Our analyses suggest that decreased
overlap in territories can be attributed to the fact that motor unit signals in muscle targets
are 1) more spatially separated and 2) smaller in area.
Distance between units: Our results show that the distances between motor unit signals
were larger in reinnervated muscle compared to intact (Figure 5J), indicating that
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14
reinnervation surgery resulted in more spatially separated motor unit territories.
Furthermore, we show a strong positive correlation between the average distances
between motor units and the average distances between NMJs (Figure 5G). This supports
our hypothesis that the structural changes following reinnervation are directly contributing
to the changes in signal patterns. The increased distance between motor units also appears
to positively affect the percentage of separable units (Figure 5L).
Area of individual units: Our results show the average areas of motor unit signal territories
are smaller in reinnervated muscle compared to intact (Figure 5K). This aligns with
previous histological studies that have found that motor units are fairly even in distribution
throughout the muscle in intact muscles, such that in a muscle cross-section, fibers from
different units appear in a mosaic pattern [24,33,34], whereas after reinnervation muscle
fibers within a given motor unit tend to clump together [24,33,34]. Our results illustrate how
this clumping effect seen in histology can manifest as motor unit signal territories with
smaller areas. Territories of smaller size could lead to easier decomposition for prosthesis
control as the clumping of fibers from a single unit makes it easier to isolate that unit from
others, supported by the moderate negative correlation between average motor unit area
and the percentage of separable units (Figure 5M).
3.3. Reduced signal complexity in reinnervated muscle recordings
Ultimately, for prosthesis control applications, a major focus of this paper was to
minimize signal complexity to enhance decomposition. Therefore, an important question
to address was whether decreased overlap between motor units in reinnervated muscle
would translate to fewer instances of superimposed, complex spikes. Our results showed
the percentage of complex spikes is higher in intact muscle than in reinnervated muscle
(Figure 6A-B). Correlation analyses suggest that this reduction in superimposed signals
may be partly due to increased distance between motor units and decreased size of
individual motor unit signals (Figure 6C-D). However, a limitation of this study is the
small sample size, which may affect the reliability of our correlation analysis.
Nevertheless, these findings suggest that patients who undergo muscle reinnervation
surgery via direct neurotization could potentially benefit, as these effects could improve
prosthesis control by simplifying the extraction of detailed neural signals.
3.4. Demonstration of motor unit-based prosthesis control after direct neurotization
To our knowledge, the current study represents the first comprehensive investigation of
reinnervation at the motor unit level in a direct nerve-to-muscle neurotization model.
Understanding motor unit reinnervation across different muscle reinnervation procedures
can provide valuable insight into variations in patient outcomes and inform treatment
strategies. We utilized force generation as our evaluation metric because, in the healthy
neuromuscular system, force produced is a direct result of motor unit activity (i.e.,
recruitment and firing rate). During volitional movement in animals that underwent direct
neurotization surgery, a greater percentage of motor units were recruited during trials
where the animal generated high force compared to those with lower force output (Figure
7B-D). Additionally, individual motor units exhibited higher average firing rates in high-
force trials (Figure 7D). By leveraging motor unit firing rates, we reconstructed force
output and demonstrated its application in controlling a virtual prosthesis (Figure 7E-H).
Together, these results demonstrated that even after direct neurotization, motor units still
hold potential for decoding motor intention, specifically force generation. Future studies
are necessary to further explore the full utility of motor unit control with reinnervated
muscle targets in freely behaving animal models.
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15
4. Conclusion
We have shown for the first time that structural changes in reinnervated muscle targets
remarkably result in motor unit signals that are clumped and distributed in a larger space.
This spatial separability of motor units can enhance the decomposition of motor units.
These findings highlight reinnervated muscle targets as a key biological interface for
harnessing motor unit signals for more natural prosthesis control that closely emulates the
motor control strategies employed by the healthy nervous system.
5. Experimental Section/Methods
Experimental Design
The broad objective of this study was to investigate motor unit reinnervation of skeletal
muscle targets in a rodent hindlimb model. More specifically, the experiments presented
herein were designed to analyze the spatial reorganization of motor units after muscle
target reinnervation surgery. We aimed to show structural changes in NMJ distribution
Result
in increased physical separation between motor unit signals. Twenty-six 8-week-old
male Lewis rats underwent muscle target reinnervation surgery via direct nerve-to-muscle
neurotization of denervated muscle targets on the left hindlimb. After the surgery,
histological and electrophysiological data was collected to assess motor unit reinnervation
(e.g., the spatial distribution of NMJs and motor unit signals in the muscle). This was a
randomized, controlled study. All procedures were approved by the Johns Hopkins
Animal Care and Use Committee.
Surgical model
In this study, we modeled a clinically relevant muscle target reinnervation surgery (i.e.,
VDMT surgery) in the rodent hindlimb. In this study, we chose to model vascularized
muscle target surgery because retaining a vascular supply can support larger muscle
constructs and thus increase the number of available motor endplates for a larger nerve to
reinnervate within a single muscle target [35,36].
The left hindlimb was sterilized and an approximately 3cm incision is made in the skin
and biceps femoris muscle to expose the tibial nerve and soleus muscle. To mimic
denervation due to amputation, we transected the branch of the distal tibial nerve 0.5 mm
before it bifurcates into the lateral and medial plantar nerves using a surgical microscope.
Then, a new denervated muscle target for the cut nerve to reinnervate was created from
the soleus muscle. Specifically, the tendon attachments and original nerve supply were
transected, leaving a denervated muscle flap of the soleus with only the blood supply left
intact. A ‘pocket’ in the epimysium was made on the opposite side of the muscle
respective to the original nerve’s innervation site. The implantation site was standardized
across animals by using a fascial line on the soleus muscle as a reference point. The donor
nerve (i.e., distal tibial nerve branch) was then implanted into the pocket and sutured to
the VDMT using a 9–0 braided silk suture. The incision was closed using uninterrupted 4-
0 sutures.
There are a few differences worth noting between clinical practice and our surgical model.
First, redundant nerves and muscles are purposefully left intact such that rodent intent can
be determined by observing the manifested movements performed by the animal.
Secondly, in humans, a small flap of muscle is denervated. However, rodent muscles are
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16
inherently smaller and contain fewer NMJs than human muscle tissue. Thus, to ensure
there are enough available motor endplates for the nerve to reinnervate, we use the entire
soleus muscle. The muscle is de-inserted and de-originated to model a “flap.” Finally,
surgeons will often wrap the muscle target around the nerve, creating what is colloquially
known as a muscle ‘taco’ or ‘burrito.’ Here, we maintained the normal linearity of the
muscle to preserve the spatial orientation/architecture of the muscle for histological
analyses. A previous study noted this linear approach can improve reinnervation and pain
outcomes in devascularized grafts [37].
Motor unit number estimation
For each rodent (n=24), CMAPs were recorded from the left soleus muscle target to assess
the functional innervation of the muscle. In the 90-day cohort, recordings were also
performed on the contralateral intact soleus muscle as a control. CMAPs were utilized to
estimate the number of functional motor units using methods adapted from [29]. Briefly, to
calculate the motor unit number estimation (MUNE), incremental steps of current
stimulation amplitude were used to stimulate the sciatic nerve and recruit increasing
numbers of motor units until saturation was reached (i.e., maximum CMAP amplitude).
Stimulation (10 anodic square wave pulses at 10 Hz, 50µs pulse width) was achieved
using a bipolar hook electrode (Natus Neurology Incorporated) while muscle responses
were recorded using disposable 0.4mm diameter needle electrodes (Rhythmlink). Current
amplitudes and current steps are detailed in Table S1. The average single motor unit action
potential size is determined by taking the average amplitude of the first 10 evoked
CMAPs. The estimated number of total motor units is then calculated by dividing the
maximum CMAP amplitude by the average single motor unit action potential size (Figure
S1). To minimize error from cross talk, all other branches from the sciatic nerve are
severed before recording CMAPs (Figure S2, Movie S1).
Spatial mapping of motor unit activity
Following CMAP collection in the 90-day group (n=8), two high-density electrode arrays
(MyoMatrix arrays) were placed on the epimysium along the muscle fibers near the
location of the nerve (each electrode array is 4 rows and 8 columns, totaling 32 channels;
together, they create an array of 8 rows and 8 columns, totaling 64 channels) (Figure 5B)
[16]. To maintain consistency between animals, the arrays were placed such that two rows
of channels were positioned proximal to the nerve implantation site (Figure S4). The
sciatic nerve (which branches into the distal tibial nerve) was then mechanically
stimulated (squeezed with forceps) proximally to distally for 0.5 seconds approximately
60 times (5 times at each location with incremental forces applied). Mechanical
stimulation (as opposed to electrical stimulation) was used to ensure the artificially evoked
motor unit activity had differences in both spatial and temporal characteristics, allowing
for simplified and more accurate motor unit separation using Kilosort3. This stimulation
strategy has been used in previous anesthetized animal studies of motor unit
characteristics [28,38]. The number (60 times) and duration (0.5 seconds each) of trials was
determined to be sufficient to generate enough motor unit action potential trials for
accurate decoding and separation. Data from the MyoMatrix arrays was recorded using the
Intan RHD recording system (RHD2000, Intan Technologies) with a 20kHz sampling rate.
Any channels with an impedance value > 50 kohms were excluded. Data was recorded
bilaterally, with the starting side determined randomly. The recorded data from both intact
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17
and reinnervated muscle was then processed in two steps: 1) motor unit sorting and 2)
motor unit visualization. For motor unit sorting, each motor unit is assumed to have a
unique waveform. Using the Kilosort3 algorithm (parameters specified in Table S3), we
can separate multiple motor unit ‘template’ waveforms, as well as the corresponding
matched signals from the raw signal. The motor unit visualization step then involves using
the matched signals for each motor unit to calculate the average waveform on each
electrode channel. The root mean square (RMS) value from the average waveform is
calculated to obtain the power intensity from each channel. Then, we apply a cubic
interpolation to make a higher resolution 2D heat mapping image (Figure 5C-D). We
quantified the separability of motor unit spatial territories by assigning a Jensen-Shannon
Divergence numerical score to the motor unit territories in each muscle. Specifically, a
higher divergence score denotes larger amounts of dissimilarities between motor units,
indicating higher separability. We defined the area of each motor unit territory to be any
region with an RMS value >90%. Moreover, we also defined each territory as a single
point (center of mass of the area) to determine the physical distance between each pair of
motor unit territories.
Neuromuscular junction labeling and 3D reconstruction of serial sections
After completing electrophysiology recordings in the 90-day group, muscle tissue from
both the experimental and control side was harvested and fixed with 4%
paraformaldehyde for histological analysis (n = 8 rats). After a 24-hour fixation period, the
tissue samples were cryoprotected using 15%, followed by 30% sucrose in phosphate
buffer solutions (PBS) for 48 hours each. Tissue was then frozen in optimal cutting
temperature compound, sectioned longitudinally along the fiber direction (20 µm
thickness), and stained for beta-III tubulin (1:800 in PBS and 10% goat serum, Invitrogen)
and alpha-bungarotoxin (1:800 in PBS and 10% goat serum, Invitrogen) to identify axons
and NMJs. Every eighth section (160µm) was imaged using Nikon Eclipse Ti and
analyzed using FIJI software. The number of NMJs was counted and the x and y locations
of each NMJ were manually labeled. To quantify the spatial separability of NMJs, the
distributions of NMJs on each section (i.e., x and y locations) were modeled using a
Rayleigh distribution. Specifically, we calculated the distances between each pair of NMJs
and created a histogram to show the frequency of each distance. Furthermore, a 3D
physical structure reconstruction was made by stacking the resulting 2D images of serial
sections using a custom MATLAB script described in detail in [39]. To visualize average
trends across muscles in each group, the 3D reconstructions of each muscle were aligned
using their center point and tibial nerve implantation site as a reference. The area of the
average 3D reconstruction was divided into small voxels of area 8 mm3. Within each
voxel, the number of NMJs which exist within the voxel boundary was calculated
(represented by a color scale) and the average location was labeled with a blue marker.
Volitional motor unit activity, force reconstruction, and virtual prosthesis control
To record volitional motor unit activity, a single high-density MyoMatrix electrode array
(4 by 8, 32 channels) was implanted percutaneously in rodents who had previously
undergone VDMT surgery (90 days post-reinnervation). For the electrode implantation
stage, the rodent was anesthetized using 2-3% isoflurane in a 1:1 oxygen-nitrogen gas
mixture at a flow rate of 1L/min. The high-density array was implanted along the muscle
fibers, uniformly across the soleus [16]. To minimize cross talk, we placed the electrodes
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18
intramuscularly, with contacts facing the anterior compartment, isolating plantar flexion.
To minimize electrode drift during motion, the electrode was sutured firmly within the
muscle using 9-0 braided silk sutures. Once the electrode was successfully implanted, the
incision site was closed, and the isoflurane dosage was lowered gradually to 1-1.5% to
place the rodent under a light plane of anesthesia. The rodent’s left foot was placed on a
conductive rubber stretch sensor (Adafruit Industries); changes in sensor length were
monitored using an Arduino UNO, thus measuring the force generated. Volitional plantar
flexion of the left ankle was evoked by applying light cutaneous stimulation on the right
paw, resulting in a similar movement to the cross-extensor reflex. The approximate
duration of cutaneous stimulation applied was kept consistent between trials. The strength
of plantar flexion was volitional and thus randomly varied from trial to trial. The force
measurement and the EMG signal were recorded simultaneously. A total of 31 trials were
performed across two rats. Each force measurement was classified as either ‘high force’ or
‘low force’ based on whether it was ³ or < the median force, respectively. It should be
noted that this force is not the direct result of the soleus muscle target contracting; since it
is a muscle target without tendons it is incapable of actuating movement of the joint.
Instead, we use the general foot movement as an indicator of intent because redundant
muscles, such as the gastrocnemius, still control plantar flexion. Motor units were sorted
as described in the ‘Spatial mapping of motor unit activity’ section. For each plantar
flexion duration, the number of sorted motor units was counted. For each individual motor
unit during the duration, the average firing rate was calculated. Additionally, a heatmap of
combined motor unit activity (Movie S3) was generated by computing spatial mapping for
all active motor units within a 0.05 sec window (0.01 sec step size). The overall firing
rates of all motor units in each time window were utilized to construct a prediction of the
distance the left paw was displaced (Figure 6E-F). More specifically, within each sliding
window, the sum of all motor unit firing rates was divided by the sliding window size. The
resulting overall firing rate curve was then normalized against its maximum point to
produce a relative force (%) across different trials and animals. The predicted relative
force output was used to control the movement of a virtual prosthesis in Blender 3D
animation software using the built-in Python API (Figure 6H, Movie S4). In the virtual
prosthesis, visualizing force production was challenging. Therefore, we assumed a
constant and linear spring behavior for the conductive rubber stretch sensor. Using this
assumption, relative force produced was proportional to the relative paw displacement
based on Hooke’s Law, allowing for the control of virtual prosthesis displacement.
Statistical Analysis
All statistical analyses were performed in RStudio. Results were reported as ‘mean’ ±
‘standard deviation.’ To determine whether each data set was normally distributed, the
Shapiro-Wilk test was utilized. Non-parametric tests were performed when normal
distribution and homogeneity of variances could not be assumed. Specifically, for analyses
in which three different groups were measured (e.g., comparisons across 15-, 50-, and 90-
day cohorts), the Kruskal Wallis was used to test differences between treated groups. If
significance was found, a post-hoc Dunn’s test with Bonferroni correction was performed
to determine which pairwise comparisons differed significantly. For 90-day rats, the
untreated and treated sides were compared (right and left, respectively). Although these
measurements were from the same subject, a paired test was not performed because 1)
there can still be high variation within a single subject due to surgical variance, and 2)
some values were missing. The Wilcoxon rank sum test was performed to determine any
difference between the two groups. For correlation analysis between variables,
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19
Spearman’s correlation was calculated as it is more robust to outliers in small sample sizes
and non-normal data compared to other methods.
Funding statement
This work was supported by the Johns Hopkins Discovery Award (ST, NVT), the National
Science Foundation Graduate Research Fellowship DGE-2139757 (KNQ, PLP, ALL) and
the Kavli Neuroscience Discovery Institute (KNQ).
Acknowledgments
The authors would like to thank the members of the Center for Advanced Motor
BioEngineering Research (CAMBER) for providing Myomatrix high-density electrode
arrays for this study. We also express our gratitude to Deok Ho Kim’s lab at Johns
Hopkins University for providing us with access to the Nikon microscope (Nikon Elipse
Ti) and generously contributing their time and expertise through comprehensive training
sessions.
Conflict of interest disclosure
The authors declare no conflict of interest.
Data availability statement
The data that support the findings of this study are available from the corresponding
author upon reasonable request.
Ethics approval statement
All procedures were approved by the Johns Hopkins Animal Care and Use Committee.
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Dimensional Histology-based Muscle Reconstructions, arXiv 2025.
(which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission.
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