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<front><journal-meta><journal-id journal-id-type="publisher-id">J Mov Neuromuscul Sci.</journal-id><journal-title-group><journal-title>Journal of Movement &amp; Neuromuscular Science</journal-title><abbrev-journal-title>J Mov Neuromuscul Sci.</abbrev-journal-title></journal-title-group><issn pub-type="epub">REQUIRED_MISSING</issn><publisher><publisher-name>Noventra Scientific Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">REQUIRED_MISSING</article-id><article-categories><subj-group subj-group-type="heading"><subject>Clinical &amp; Applied Movement Sciences</subject></subj-group></article-categories><title-group><article-title>Myoelectric Manifestations of Fatigue in Sport: Evidence from Repeated Maximal Shooting in Professional Water Polo</article-title></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0007-8518-365X</contrib-id><name name-style="western"><surname>Cotellessa</surname><given-names>Filippo</given-names></name><xref ref-type="aff" rid="aff1">1</xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1133-5511</contrib-id><name name-style="western"><surname>Ceylan</surname><given-names>Halil İbrahim</given-names></name><xref ref-type="aff" rid="aff2">2</xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8409-868X</contrib-id><name name-style="western"><surname>Bragazzi</surname><given-names>Nicola Luigi</given-names></name><xref ref-type="aff" rid="aff3">3</xref></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0825-2707</contrib-id><name name-style="western"><surname>Puce</surname><given-names>Luca</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="corresp" rid="cor1">*</xref></contrib></contrib-group><aff id="aff1"><label>1</label><institution-wrap><institution>Department of Neuroscience, Rehabilitation, Ophthalmology, Genetics, Maternal and Child Health, University of Genoa</institution></institution-wrap><country>Italy</country></aff><aff id="aff2"><label>2</label><institution-wrap><institution>Physical Education and Sports Teaching Department, Faculty of Sports Sciences, Ataturk University</institution></institution-wrap><addr-line>Erzurum 25240</addr-line><country>Türkiye</country></aff><aff id="aff3"><label>3</label><institution-wrap><institution>Department of Mathematics and Statistics, Laboratory for Industrial and Applied Mathematics (LIAM), York University</institution></institution-wrap><addr-line>Toronto, Ontario (ON)</addr-line><country>Canada</country></aff><author-notes><corresp id="cor1">Corresponding author: <email>luca.puce@medicina.unige.it</email></corresp></author-notes><pub-date pub-type="epub"><day>2</day><month>9</month><year>2026</year></pub-date><volume>1</volume><issue>1</issue><elocation-id>REQUIRED_MISSING</elocation-id><history><date date-type="received"><day>2</day><month>3</month><year>2026</year></date><date date-type="rev-recd"><day>28</day><month>7</month><year>2026</year></date><date date-type="accepted"><day>10</day><month>8</month><year>2026</year></date></history><permissions><copyright-statement>© 2026 The Author(s)</copyright-statement><copyright-year>2026</copyright-year><license license-type="REQUIRED_MISSING" xlink:href="REQUIRED_MISSING"><license-p>REQUIRED_MISSING</license-p></license></permissions><related-article related-article-type="has-supplement" ext-link-type="uri" xlink:href="../supplementary/supplementary.xml">Supplementary Tables S1–S5 and Figure S1</related-article><abstract><p>Background: Repeated maximal sport actions may induce localized myoelectric alterations before external performance deteriorates. This study examined whether repeated maximal shooting in professional water polo produces fatigue-compatible myoelectric changes despite preservation of ball velocity.</p><p>Methods: Fourteen male professional players performed up to 20 consecutive maximal-effort 5-m penalty shots. Surface electromyography was recorded from 14 throwing-side and trunk muscles and synchronized with multi-view video and stereo-derived ball velocity. Median frequency within a standardized 200-ms late-cocking window was the primary spectral outcome. Phase-specific RMS amplitude, activation-weighted temporal centroid, movement-phase duration, and multimuscle activation-pattern reorganization were also evaluated. Muscle-specific spectral analyses were adjusted for within-athlete ball velocity and concurrent RMS amplitude, with false-discovery-rate correction for multiple comparisons.</p><p>Results: The dataset comprised 222 valid EMG shots, including 219 with matched ball velocity. Ball velocity was preserved across the shooting sequence (first five: 79.47 km·h⁻¹; last five: 82.00 km·h⁻¹; mean difference +2.53 km·h⁻¹; p=0.055). Median frequency decreased significantly only in teres major (−14.62 Hz; 95% CI −22.71 to −5.89; q=0.0042) and the clavicular portion of pectoralis major (−10.08 Hz; 95% CI −17.18 to −4.93; q=0.0028). These effects remained directionally robust across alternative spectral specifications and leave-one-athlete-out analyses. Changes in activation amplitude and timing were heterogeneous, and neither complete-montage nor localized measures of EMG reorganization were associated with ball velocity.</p><p>Conclusions: Repeated maximal shooting in professional water polo produced selective fatigue-compatible myoelectric changes despite preserved ball velocity. External performance may therefore remain stable while localized myoelectric alterations are already detectable, highlighting the value of combining muscle-specific physiological measures with performance outcomes during repeated explosive sport actions.</p></abstract><kwd-group kwd-group-type="author-generated"><kwd>surface electromyography</kwd><kwd>muscle fatigue</kwd><kwd>median frequency</kwd><kwd>water polo</kwd><kwd>throwing</kwd><kwd>ball velocity</kwd><kwd>overhead throwing</kwd><kwd>neuromuscular fatigue</kwd></kwd-group><custom-meta-group><custom-meta><meta-name>funding</meta-name><meta-value>This research received no external funding.</meta-value></custom-meta><custom-meta><meta-name>ethics</meta-name><meta-value>The study was conducted in accordance with the Declaration of Helsinki and was approved by the Comitato Etico per la Ricerca di Ateneo (CERA; approval no. 2024.55, 14 June 2024).</meta-value></custom-meta><custom-meta><meta-name>informed-consent</meta-name><meta-value>Written informed consent was obtained from all participants involved in the study.</meta-value></custom-meta><custom-meta><meta-name>data-availability</meta-name><meta-value>The de-identified processed datasets, complete analysis tables, and analysis code supporting the findings of this study are available from the corresponding author upon reasonable request.</meta-value></custom-meta><custom-meta><meta-name>competing-interests</meta-name><meta-value>The authors declare no commercial, financial, or other relationships that could be construed as a potential conflict of interest.</meta-value></custom-meta></custom-meta-group></article-meta></front><body>
<sec id="introduction">
  <title>1. Introduction</title>
  <p>Muscular fatigue is a fundamental constraint on sports performance,
  particularly when high-intensity actions must be repeated with limited
  recovery. Rather than representing a single physiological process,
  fatigue arises from interacting peripheral and central mechanisms that
  modify the capacity of the neuromuscular system to meet task demands
  [<xref alt="1" rid="ref-1" ref-type="bibr">1</xref>–<xref alt="3" rid="ref-3" ref-type="bibr">3</xref>].
  Importantly, these internal changes do not necessarily produce an
  immediate deterioration in observable performance. Skilled athletes
  may temporarily preserve force, velocity, or technical outcome despite
  fatigue-related physiological alterations, making external performance
  alone an incomplete indicator of the underlying neuromuscular state
  [<xref alt="3" rid="ref-3" ref-type="bibr">3</xref>]. This
  distinction is particularly relevant in elite sport, where training
  status and adaptive motor strategies may delay the point at which
  fatigue becomes evident as performance loss.</p>
  <p>Surface electromyography (sEMG) provides a non-invasive means of
  examining muscle-specific myoelectric manifestations associated with
  fatigue during exercise
  [<xref alt="4" rid="ref-4" ref-type="bibr">4</xref>–<xref alt="6" rid="ref-6" ref-type="bibr">6</xref>].
  Amplitude- and frequency-domain features provide complementary, but
  not interchangeable, information. Surface-EMG amplitude is influenced
  by motor-unit recruitment and discharge behavior, as well as by
  action-potential cancellation, electrode position, muscle geometry,
  muscle length, and contraction velocity
  [<xref alt="6" rid="ref-6" ref-type="bibr">6</xref>,
  <xref alt="7" rid="ref-7" ref-type="bibr">7</xref>]. Spectral
  analysis provides a complementary perspective. During fatiguing
  contractions, the EMG power spectrum commonly shifts toward lower
  frequencies, reflected by reductions in measures such as median or
  mean frequency and associated with changes in muscle-fiber conduction
  and motor-unit behavior
  [<xref alt="4" rid="ref-4" ref-type="bibr">4</xref>,
  <xref alt="5" rid="ref-5" ref-type="bibr">5</xref>].
  Interpretation is more challenging during dynamic sporting movements
  because rapid changes in muscle length, contraction velocity, force,
  and electrode–muscle geometry introduce substantial non-stationarity
  into the signal
  [<xref alt="7" rid="ref-7" ref-type="bibr">7</xref>].
  Time–frequency approaches are therefore particularly useful for
  examining spectral behavior within short, movement-specific windows
  [<xref alt="8" rid="ref-8" ref-type="bibr">8</xref>], and spectral
  sEMG parameters have shown utility for detecting fatigue-related
  myoelectric changes during dynamic swimming exercise
  [<xref alt="9" rid="ref-9" ref-type="bibr">9</xref>]. Accordingly,
  spectral changes observed during dynamic exercise are most
  appropriately interpreted as fatigue-compatible myoelectric
  manifestations rather than as direct quantitative measures of
  biological fatigue.</p>
  <p>These interpretative challenges are particularly relevant during
  repeated explosive sport actions, in which brief maximal efforts are
  performed in succession and the external task outcome may remain
  stable despite evolving neuromuscular demands. This issue becomes
  especially important when performance depends on the integrated
  contribution of multiple body segments rather than on the output of a
  single muscle or joint. Within this context, repeated maximal shooting
  in water polo provides a useful sport-specific model for examining the
  potential dissociation between localized myoelectric changes and
  external performance. The water polo shot is a high-velocity action
  performed without a stable support base and requires coordinated
  contributions from body elevation, trunk motion, and upper-limb
  acceleration
  [<xref alt="10" rid="ref-10" ref-type="bibr">10</xref>,
  <xref alt="11" rid="ref-11" ref-type="bibr">11</xref>]. Ball
  velocity therefore represents the integrated result of a complex
  whole-body action. Importantly, increasing fatigue can impair
  technical performance without necessarily producing a proportional
  decline in shooting velocity
  [<xref alt="12" rid="ref-12" ref-type="bibr">12</xref>].</p>
  <p>Previous electromyographic studies have characterized
  upper-extremity muscle activation during water polo shooting and
  demonstrated differences in activation magnitude, timing, and
  proximal-to-distal organization between experienced and inexperienced
  performers [<xref alt="13" rid="ref-13" ref-type="bibr">13</xref>,
  <xref alt="14" rid="ref-14" ref-type="bibr">14</xref>]. Kinematic
  studies have additionally documented substantial intraindividual
  variability in the organization of the 5-m shot despite comparatively
  stable performance outcomes
  [<xref alt="15" rid="ref-15" ref-type="bibr">15</xref>]. However,
  these studies have primarily characterized individual shooting actions
  or between-group differences. It remains unclear how muscle-specific
  myoelectric manifestations evolve during a sequence of repeated
  maximal shots, whether fatigue-compatible spectral changes emerge
  uniformly or selectively across the throwing musculature, and whether
  such changes occur despite preservation of ball velocity. It is
  likewise unknown whether repeated shooting is accompanied by
  systematic changes in activation amplitude or timing that could
  contribute to maintenance of the external performance outcome.</p>
  <p>Against this background, the present study examined muscle-specific
  myoelectric changes during repeated maximal shooting in professional
  water polo players while ball velocity was monitored simultaneously.
  Surface EMG was recorded from a 14-muscle throwing-side and trunk
  montage across preparation, cocking, acceleration, and deceleration,
  with fatigue-compatible spectral changes evaluated within a
  standardized late-cocking window. The primary aim was to determine
  whether repeated maximal shooting produced selective or generalized
  spectral manifestations compatible with fatigue and whether these
  changes occurred despite preserved ball velocity. Secondary analyses
  examined phase-specific activation amplitude and timing and explored
  whether myoelectric change or activation-pattern reorganization was
  associated with ball velocity. We hypothesized that fatigue-compatible
  spectral changes would be muscle-specific rather than uniform and
  could emerge despite preservation of external performance.</p>
</sec>
<sec id="materials-and-methods">
  <title>2. Materials and Methods</title>
  <sec id="study-design-participants-and-ethics">
    <title>2.1. Study design, participants, and ethics</title>
    <p>This single-session repeated-measures study included 14 male
    professional field players from one team competing in the Italian A1
    league. All athletes were actively training and competing at the
    time of testing. Exclusion criteria were acute upper-extremity or
    trunk injury, previous surgery to the throwing shoulder,
    neurological disorders affecting upper-extremity motor function, or
    intolerance to surface-electrode placement. Players with
    non-limiting shoulder symptoms were not excluded, provided that they
    were able to perform maximal-effort shooting.</p>
    <p>The study was conducted in accordance with the Declaration of
    Helsinki and was approved by the Comitato Etico per la Ricerca di
    Ateneo (CERA; approval no. 2024.55, 14 June 2024). All participants
    provided written informed consent before testing.</p>
  </sec>
  <sec id="shooting-protocol-video-acquisition-and-ball-velocity">
    <title>2.2. Shooting protocol, video acquisition, and ball
    velocity</title>
    <p>After electrode placement, players completed a warm-up consisting
    of freestyle swimming and practice shots. Each player then performed
    up to 20 consecutive maximal-effort penalty shots from the official
    5-m line. Approximately 5 s separated consecutive attempts, during
    which a poolside assistant returned the ball to the player. A shot
    was excluded from a specific analysis when the ball bounced before
    reaching the goal or when the data required for that analysis were
    incomplete. The final EMG dataset comprised 10–19 valid shots per
    athlete. The chronological order of retained valid shots was
    preserved throughout the analyses; when an observation was
    unavailable for a specific downstream analysis, subsequent valid
    shots retained their original within-series position and were not
    renumbered.</p>
    <p>Three GoPro HERO8 cameras (GoPro, San Mateo, CA, USA) recorded
    the shooting action at 120 frames·s⁻¹ and were positioned to provide
    frontal/goal-line, lateral, and approximately 45° diagonal views.
    Before data acquisition, the frontal and lateral cameras were
    stereo-calibrated using a checkerboard calibration target. The
    synchronized calibrated frontal and lateral recordings were used to
    reconstruct the ball trajectory, whereas the diagonal camera
    provided an additional view for movement-event identification and
    was not used for stereo reconstruction.</p>
    <p>Ball release was operationally defined as the first video frame
    in which no visible contact between the throwing hand and the ball
    remained. Ball velocity was derived from the stereo-reconstructed
    trajectory and calculated as the mean of the ball-speed values
    obtained over the first four post-release frames, beginning with the
    first frame showing complete loss of hand–ball contact. Velocity was
    expressed in km·h⁻¹ and assigned to the corresponding athlete and
    shot.</p>
    <p>Video and EMG recordings were synchronized using a common
    physical synchronization event. The cameras recorded the EMG sensor
    positioned over the biceps while an operator delivered a brief tap
    directly to the sensor. The tap was visually identifiable in the
    video recordings and simultaneously generated a sharp transient
    artifact in the EMG trace, providing a common temporal reference for
    alignment of the video and EMG signals.</p>
    <p>Movement events were identified by an operator through
    frame-by-frame visual inspection of the synchronized recordings.
    Five events were marked: (1) start of preparation, (2) start of
    cocking, (3) start of acceleration, (4) ball release/start of
    deceleration, and (5) end of deceleration (Figure 1). These events
    delimited four movement phases: preparation, cocking, acceleration,
    and deceleration. With the exception of ball release, which was
    operationally defined as described above, the remaining events were
    identified visually from the movement sequence rather than from
    predetermined kinematic thresholds.</p>
  </sec>
  <sec id="surface-emg-acquisition">
    <title>2.3. Surface EMG acquisition</title>
    <p>Surface electromyography was recorded at 2,000 Hz using a MiniX
    Waterproof wireless system (Cometa, Italy) and disposable bipolar
    Kendall Ag/AgCl surface electrodes. Before electrode placement, the
    skin was shaved when necessary, lightly abraded, and cleaned with
    alcohol. Electrodes were positioned over the muscle belly and
    aligned with the presumed direction of the underlying muscle fibers,
    following SENIAM recommendations where applicable and established
    recommendations for surface-EMG acquisition and reporting
    [<xref alt="16" rid="ref-16" ref-type="bibr">16</xref>,
    <xref alt="17" rid="ref-17" ref-type="bibr">17</xref>].</p>
    <p>Recordings were obtained from 14 muscles on the throwing side:
    flexor carpi radialis, biceps brachii, lateral triceps, anterior
    deltoid, middle deltoid, posterior deltoid, pectoralis major,
    clavicular portion, pectoralis major, sternocostal portion, teres
    major, infraspinatus, latissimus dorsi, middle trapezius, lower
    rectus abdominis, and thoracic erector spinae. All 14 channels were
    included in the phase-specific activation and spectral analyses.</p>
    <p>For data acquisition and export, channel labels carried an “R_”
    prefix; this designation referred to the throwing side rather than
    necessarily to the anatomical right side. Accordingly, EMG was
    recorded from the left upper limb in the two left-handed
    throwers.</p>
    <fig id="fig-shooting-phases">
      <caption><p>Figure 1: Shooting phases and movement events used to
      segment the maximal 5-m water polo shot.</p></caption>
      <graphic mimetype="image" mime-subtype="png" xlink:href="media/figure-01-shooting-phases.png"/>
    </fig>
  </sec>
  <sec id="raw-signal-quality-control-and-processing">
    <title>2.4. Raw-signal quality control and processing</title>
    <p>All processing started from the raw, non-rectified sEMG signal.
    Samples were classified as invalid when data were missing or when
    absolute signal amplitude reached the acquisition-system saturation
    threshold of 3,290 digital units. A muscle–shot channel was excluded
    when more than 5% of the samples within the analyzed movement were
    invalid or when a constant-value segment persisted for at least 100
    ms, indicating loss or corruption of the recorded signal. Isolated
    invalid samples within otherwise acceptable channels were replaced
    by linear interpolation. No channel-level data failing the
    predefined quality criteria were imputed.</p>
    <p>Raw signals were filtered using a zero-phase frequency-domain
    passband from 20 to 450 Hz, with cosine transitions between 15–20 Hz
    and 450–500 Hz. Power-line interference was attenuated using a 50-Hz
    notch with cosine shoulders extending from 48.5 to 51.5 Hz. A
    centered 50-ms RMS envelope was subsequently calculated for
    amplitude-domain analyses. These procedures followed established
    principles for surface-EMG acquisition, preprocessing, and artifact
    control [<xref alt="6" rid="ref-6" ref-type="bibr">6</xref>,
    <xref alt="17" rid="ref-17" ref-type="bibr">17</xref>].</p>
    <p>For each athlete and muscle separately, the normalization
    reference was defined as the 95th percentile (P95) of the RMS
    envelope pooled across all valid trials. RMS amplitude was then
    expressed as a percentage of this athlete- and muscle-specific P95
    reference. This task-based normalization provided a robust
    within-athlete, within-muscle reference while limiting the influence
    of isolated extreme peaks
    [<xref alt="18" rid="ref-18" ref-type="bibr">18</xref>]. Because
    a separate P95 reference was calculated for each muscle and athlete,
    normalized amplitudes were interpreted within muscle and were not
    used as measures of absolute activation magnitude across different
    muscles or participants.</p>
  </sec>
  <sec id="fatigue-compatible-spectral-outcome">
    <title>2.5. Fatigue-compatible spectral outcome</title>
    <p>For each of the 14 recorded muscles, the primary spectral outcome
    was the median frequency of the sEMG signal estimated within a fixed
    200-ms late-cocking window ending at the onset of acceleration. At
    the acquisition frequency of 2,000 Hz, each analysis window
    comprised 400 samples. All observed cocking phases were at least
    204.5 ms in duration, allowing the same task segment to be examined
    across shots.</p>
    <p>Median frequency was estimated using a continuous-wavelet
    time–frequency approach. Such approaches are particularly suitable
    for dynamic contractions in which conventional stationarity
    assumptions are difficult to satisfy
    [<xref alt="4" rid="ref-4" ref-type="bibr">4</xref>,
    <xref alt="5" rid="ref-5" ref-type="bibr">5</xref>,
    <xref alt="7" rid="ref-7" ref-type="bibr">7</xref>–<xref alt="9" rid="ref-9" ref-type="bibr">9</xref>].
    Muscle-specific end-to-start changes across the shooting sequence
    were modeled while adjusting for within-athlete ball velocity and
    concurrent log-transformed RMS amplitude. Inclusion of concurrent
    RMS was intended to reduce the possibility that apparent spectral
    differences merely reflected concurrent differences in signal
    amplitude.</p>
    <p>For graphical presentation, shot-by-shot median-frequency changes
    were additionally expressed as percentage reduction relative to the
    athlete- and muscle-specific mean of the first five valid shots.
    These percentage values were used as normalized electrical
    indicators of fatigue-compatible change and were not interpreted as
    direct percentage measures of biological fatigue.</p>
    <p>Robustness of the primary spectral findings was examined using
    alternative analytical specifications. These included matched
    lower-frequency cutoffs of 20, 30, and 40 Hz, fast Fourier transform
    estimation, restriction to active windows with RMS &gt;10% of the
    athlete- and muscle-specific P95 reference, low-band trimming,
    first-three versus last-three contrasts, leave-one-athlete-out
    analyses, and chronological permutation.</p>
  </sec>
  <sec id="phase-specific-activation-timing-and-duration">
    <title>2.6. Phase-specific activation, timing, and duration</title>
    <p>Preparation, cocking, acceleration, and deceleration were
    independently time-normalized from 0% to 100% of their respective
    phase duration. For each muscle and shot, mean RMS-envelope
    amplitude and the activation-weighted temporal centroid were
    calculated separately within each phase.</p>
    <p>The temporal centroid represented the relative position within
    the phase around which the RMS envelope was temporally concentrated,
    with lower values indicating an earlier and higher values a later
    distribution of activation. It therefore characterized within-phase
    activation timing rather than activation onset, peak timing, or
    motor-unit synchronization.</p>
    <p>The absolute durations of the cocking and acceleration phases
    were additionally retained in milliseconds to evaluate whether
    changes in movement-phase duration accompanied repeated shooting or
    were associated with ball velocity.</p>
  </sec>
  <sec id="integrated-activationfatigueperformance-analysis">
    <title>2.7. Integrated activation–fatigue–performance
    analysis</title>
    <p>For the phase-activation atlas, shot-level values were first
    averaged within athlete and then summarized across athletes so that
    participants contributing a greater number of valid shots did not
    receive disproportionate weight. Changes across the shooting series
    were additionally summarized by comparing each athlete’s first five
    and last five valid shots for RMS amplitude and activation-weighted
    temporal centroid.</p>
    <p>To quantify complete-pattern reorganization, each shot was
    represented by a 14-muscle × four-phase profile. Amplitude-pattern
    reorganization was calculated as the root-mean-square distance
    between the shot-specific log-transformed RMS-amplitude profile and
    the athlete’s mean first-five profile. Temporal-pattern
    reorganization was calculated analogously using phase-normalized
    activation-weighted temporal centroids. Larger distance values
    therefore indicated greater deviation from the athlete’s
    early-series activation pattern. Distances were calculated across
    available muscle–phase cells; at least 42 of the 56 possible cells
    were required, and missing cells were not imputed.</p>
    <p>Two complementary spectral fatigue-burden indices were examined.
    The all-muscle burden summarized median-frequency reduction across
    all valid recorded muscles relative to the corresponding athlete-
    and muscle-specific first-five baseline. Because it incorporated the
    complete recorded montage without selecting muscles on the basis of
    their individual statistical results, this index was used as the
    non-selected complete-montage measure of spectral change.</p>
    <p>A secondary localized burden was calculated using only the two
    muscles that met the FDR criterion in the preceding 14-muscle
    analysis—the clavicular portion of pectoralis major and teres major.
    Because these muscles were selected after inspection of the
    muscle-specific results, the localized burden was explicitly treated
    as a post-identification explanatory measure and not as independent
    confirmation of fatigue.</p>
    <p>Integrated analyses required at least 10 valid spectral channels
    and sufficient phase data to meet the 42-of-56 cell criterion.
    Analyses involving the localized burden additionally required valid
    spectral data from both FDR-identified muscles. The final integrated
    dataset comprised 211 shots from all 14 athletes.</p>
  </sec>
  <sec id="statistical-analysis">
    <title>2.8. Statistical analysis</title>
    <p>Athletes, rather than individual shots, defined the inferential
    clustering unit. Within each athlete, shot position was scaled from
    0 for the first retained valid shot to 1 for the last retained valid
    shot. When an observation was unavailable for a specific downstream
    analysis, subsequent valid shots retained their original position
    within the retained shooting sequence and were not renumbered.</p>
    <p>Repeated-measures regression models included athlete fixed
    effects to account for stable between-athlete differences and linear
    and quadratic terms for shot position to allow for non-linear
    changes across the shooting series. For each of the 14 muscles,
    median frequency was modeled as a function of shot position while
    adjusting for within-athlete ball velocity and concurrent
    log-transformed RMS amplitude. Muscle-specific end-to-start changes
    were obtained from the fitted sequence terms.</p>
    <p>Statistical uncertainty for regression estimates was quantified
    using cluster-bootstrap resampling at the athlete level, thereby
    preserving dependence among repeated shots from the same player.
    Bootstrap distributions were used to derive 95% confidence intervals
    and two-sided p values for model coefficients.</p>
    <p>For the comparison of ball velocity between the first five and
    last five valid shots, mean velocity was first calculated within
    athlete for each period. The athlete-level mean difference was
    reported together with an athlete-cluster bootstrap 95% confidence
    interval and an exact two-sided paired sign-flip p value. Because
    the confidence interval and p value were obtained from distinct
    inferential procedures, their numerical threshold decisions were not
    required to coincide exactly.</p>
    <p>Multiplicity was controlled using the Benjamini–Hochberg
    false-discovery-rate (FDR) procedure
    [<xref alt="19" rid="ref-19" ref-type="bibr">19</xref>]. FDR
    correction was applied across the 14 muscle-specific
    median-frequency tests and separately within each predefined family
    of activation–fatigue–performance models. An FDR-adjusted q value
    &lt;0.05 was considered statistically significant.</p>
    <p>Phase selectivity was summarized at the athlete level as the
    difference between each muscle’s observed highest-amplitude phase
    and the mean amplitude of its remaining three phases. These
    contrasts were evaluated using paired sign-flip tests, with FDR
    correction across the 14 muscles. Athlete-level cluster-bootstrap
    95% confidence intervals were additionally calculated for the
    phase-selectivity estimates. Because the highest-amplitude phase was
    identified from the same observed phase atlas, phase-selectivity
    inference was considered secondary and exploratory.</p>
    <p>First-five versus last-five changes in phase-specific amplitude
    and temporal centroid were treated as descriptive athlete-level
    comparisons and summarized with bootstrap confidence intervals.</p>
    <p>All analyses were performed in Python using reproducible analysis
    scripts. The processed datasets, variable definitions, and complete
    statistical outputs are provided in the accompanying analysis
    workbook.</p>
  </sec>
</sec>
<sec id="results">
  <title>3. Results</title>
  <sec id="participants-and-data-completeness">
    <title>3.1. Participants and data completeness</title>
    <p>The 14 professional players were 25.7 ± 6.1 years old, 184.1 ±
    6.2 cm tall, and 89.2 ± 8.9 kg, with 14.6 ± 6.1 years of playing
    experience. Twelve were right-handed and two were left-handed
    throwers (Table 1).</p>
    <p>The final dataset comprised 222 valid EMG shots, of which 219 had
    matched ball-velocity measurements. Across the 14-muscle montage,
    2,957 of 3,108 possible late-cocking muscle–shot windows (95.1%)
    satisfied the predefined signal-quality criteria. The
    phase-activation atlas contained 11,876 of 12,432 possible
    muscle–phase–shot observations (95.5%), with 9–14 athletes
    contributing to individual muscle–phase cells. The integrated
    activation–fatigue–performance analyses included 211 shots from all
    14 athletes
    (<ext-link ext-link-type="uri" xlink:href="supplementary/supplementary.pdf">Supplementary
    Table S1</ext-link>).</p>
    <fig id="tbl-participants">
      <caption><p>Table 1: Participant characteristics.</p></caption>
      <table-wrap>
        <table>
          <thead>
            <tr>
              <th align="left"><bold>Characteristic</bold></th>
              <th align="left"><bold>Value</bold></th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="left">Players</td>
              <td align="left">14 male professional field players</td>
            </tr>
            <tr>
              <td align="left">Age, years</td>
              <td align="left">25.7 ± 6.1</td>
            </tr>
            <tr>
              <td align="left">Height, cm</td>
              <td align="left">184.1 ± 6.2</td>
            </tr>
            <tr>
              <td align="left">Body mass, kg</td>
              <td align="left">89.2 ± 8.9</td>
            </tr>
            <tr>
              <td align="left">BMI, kg·m⁻²</td>
              <td align="left">26.3 ± 2.2</td>
            </tr>
            <tr>
              <td align="left">Playing experience, years</td>
              <td align="left">14.6 ± 6.1</td>
            </tr>
            <tr>
              <td align="left">Throwing-side dominance</td>
              <td align="left">12 right; 2 left</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
    </fig>
  </sec>
  <sec id="ball-velocity-was-preserved">
    <title>3.2. Ball velocity was preserved</title>
    <p>Across the 219 velocity-matched shots, the descriptive shot-level
    mean ball velocity was 82.07 ± 11.89 km·h⁻¹. At the athlete level,
    mean velocity was 79.47 km·h⁻¹ during the first five valid shots and
    82.00 km·h⁻¹ during the last five, corresponding to a mean
    difference of +2.53 km·h⁻¹ (bootstrap 95% CI 0.28 to 4.76; exact
    paired sign-flip p=0.055). Thus, repeated maximal shooting was not
    accompanied by a decline in ball velocity.</p>
    <p>Across ordinal shot positions, velocity showed an initial rise
    followed by later attenuation rather than a progressive monotonic
    decrease (Figure 2).</p>
  </sec>
  <sec id="phase-specific-activation-across-the-14-muscle-montage">
    <title>3.3. Phase-specific activation across the 14-muscle
    montage</title>
    <p>The four-phase atlas demonstrated marked within-muscle phase
    dependence across the recorded montage (Figure 3;
    <ext-link ext-link-type="uri" xlink:href="supplementary/supplementary.pdf">Supplementary
    Figure S1</ext-link>). Eleven of the 14 muscles met the FDR
    criterion in the secondary phase-selectivity analysis.</p>
    <p>Seven muscles showed their strongest relative activation during
    acceleration: flexor carpi radialis (+59.79 percentage points [pp],
    q=0.0012), pectoralis major, clavicular portion (+37.27 pp,
    q=0.0012), latissimus dorsi (+36.40 pp, q=0.0014), lateral triceps
    (+31.92 pp, q=0.0012), pectoralis major, sternocostal portion
    (+31.47 pp, q=0.0012), lower rectus abdominis (+29.99 pp, q=0.0012),
    and teres major (+20.91 pp, q=0.0248).</p>
    <p>Preparation selectivity was observed for middle deltoid (+18.89
    pp, q=0.0056) and middle trapezius (+14.74 pp, q=0.0248), whereas
    infraspinatus (+15.44 pp, q=0.0296) and thoracic erector spinae
    (+13.24 pp, q=0.0492) showed deceleration selectivity. No other
    amplitude phase-selectivity contrast met the FDR criterion
    (<ext-link ext-link-type="uri" xlink:href="supplementary/supplementary.pdf">Supplementary
    Table S2</ext-link>).</p>
    <p>Because RMS amplitude was normalized using a separate athlete-
    and muscle-specific P95 reference, the values displayed in Figure 3A
    describe within-muscle phase organization and should not be
    interpreted as absolute activation rankings between different
    muscles.</p>
  </sec>
  <sec id="fatigue-compatible-spectral-changes-across-the-14-muscle-montage">
    <title>3.4. Fatigue-compatible spectral changes across the 14-muscle
    montage</title>
    <p>The same 200-ms late-cocking window, covariate adjustment, and
    FDR-controlled analysis were applied to all 14 recorded muscles
    (Figure 4; Table 2;
    <ext-link ext-link-type="uri" xlink:href="supplementary/supplementary.pdf">Supplementary
    Table S3</ext-link>). Only two muscles showed a reliable downward
    shift in median frequency across the shooting series. Teres major
    showed an adjusted end-to-start change of −14.62 Hz (95% CI −22.71
    to −5.89; q=0.0042), whereas pectoralis major, clavicular portion
    showed a change of −10.08 Hz (95% CI −17.18 to −4.93; q=0.0028).</p>
    <p>These were the only two muscles that met the FDR criterion across
    the complete 14-muscle analysis. Infraspinatus (−8.32 Hz),
    pectoralis major, sternocostal portion (−6.20 Hz), lower rectus
    abdominis (−4.78 Hz), and latissimus dorsi (−2.46 Hz) showed
    negative point estimates, but their confidence intervals included
    zero and none survived FDR correction (all q≥0.243). The remaining
    recorded muscles likewise showed no reliable downward
    median-frequency shift.</p>
    <p>Notably, strong acceleration-phase activation selectivity did not
    necessarily coincide with fatigue-compatible spectral change. Flexor
    carpi radialis and lateral triceps showed two of the largest
    acceleration-selectivity contrasts, yet neither showed a significant
    reduction in median frequency. The shot-by-shot evolution of the two
    FDR-identified muscles is shown in Figure 5A.</p>
    <fig id="fig-ball-velocity">
      <caption><p>Figure 2: Ball velocity during repeated maximal
      shooting. (A) First versus last five valid shots. (B) Velocity
      across ordinal shot position; the number of contributing athletes
      is shown above each position.</p></caption>
      <graphic mimetype="image" mime-subtype="png" xlink:href="media/figure-02-median-frequency.png"/>
    </fig>
    <fig id="tbl-spectral-analysis">
      <caption><p>Table 2: Complete 14-muscle fatigue-compatible
      spectral analysis.</p></caption>
      <table-wrap>
        <table>
          <colgroup>
            <col width="25%"/>
            <col width="25%"/>
            <col width="25%"/>
            <col width="25%"/>
          </colgroup>
          <thead>
            <tr>
              <th align="left"><bold>Throwing-side muscle</bold></th>
              <th align="left"><bold>Adjusted end-to-start
              change</bold></th>
              <th align="left"><bold>95% CI</bold></th>
              <th align="left"><bold>FDR q</bold></th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="left"><bold>Teres major</bold></td>
              <td align="left">−14.62 Hz</td>
              <td align="left">−22.71 to −5.89</td>
              <td align="left">0.0042</td>
            </tr>
            <tr>
              <td align="left"><bold>Pectoralis major, clavicular
              portion</bold></td>
              <td align="left">−10.08 Hz</td>
              <td align="left">−17.18 to −4.93</td>
              <td align="left">0.0028</td>
            </tr>
            <tr>
              <td align="left"><bold>Infraspinatus</bold></td>
              <td align="left">−8.32 Hz</td>
              <td align="left">−23.51 to +7.55</td>
              <td align="left">0.624</td>
            </tr>
            <tr>
              <td align="left"><bold>Pectoralis major, sternocostal
              portion</bold></td>
              <td align="left">−6.20 Hz</td>
              <td align="left">−12.26 to +0.04</td>
              <td align="left">0.243</td>
            </tr>
            <tr>
              <td align="left"><bold>Lower rectus abdominis</bold></td>
              <td align="left">−4.78 Hz</td>
              <td align="left">−10.72 to +0.94</td>
              <td align="left">0.331</td>
            </tr>
            <tr>
              <td align="left"><bold>Latissimus dorsi</bold></td>
              <td align="left">−2.46 Hz</td>
              <td align="left">−6.51 to +2.02</td>
              <td align="left">0.612</td>
            </tr>
            <tr>
              <td align="left"><bold>Biceps brachii</bold></td>
              <td align="left">−1.30 Hz</td>
              <td align="left">−5.26 to +2.66</td>
              <td align="left">0.812</td>
            </tr>
            <tr>
              <td align="left"><bold>Lateral triceps</bold></td>
              <td align="left">−1.05 Hz</td>
              <td align="left">−9.42 to +9.02</td>
              <td align="left">0.912</td>
            </tr>
            <tr>
              <td align="left"><bold>Posterior deltoid</bold></td>
              <td align="left">−0.71 Hz</td>
              <td align="left">−5.72 to +2.54</td>
              <td align="left">0.899</td>
            </tr>
            <tr>
              <td align="left"><bold>Middle deltoid</bold></td>
              <td align="left">−0.69 Hz</td>
              <td align="left">−7.05 to +3.22</td>
              <td align="left">0.912</td>
            </tr>
            <tr>
              <td align="left"><bold>Anterior deltoid</bold></td>
              <td align="left">+0.05 Hz</td>
              <td align="left">−10.18 to +9.15</td>
              <td align="left">0.958</td>
            </tr>
            <tr>
              <td align="left"><bold>Flexor carpi radialis</bold></td>
              <td align="left">+1.25 Hz</td>
              <td align="left">−5.96 to +9.02</td>
              <td align="left">0.899</td>
            </tr>
            <tr>
              <td align="left"><bold>Middle trapezius</bold></td>
              <td align="left">+1.87 Hz</td>
              <td align="left">−3.59 to +8.44</td>
              <td align="left">0.812</td>
            </tr>
            <tr>
              <td align="left"><bold>Thoracic erector spinae</bold></td>
              <td align="left">+4.81 Hz</td>
              <td align="left">−1.07 to +11.30</td>
              <td align="left">0.331</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
    </fig>
  </sec>
  <sec id="integrated-activationfatigueperformance-analysis-1">
    <title>3.5. Integrated activation–fatigue–performance
    analysis</title>
    <p>The non-selected all-muscle fatigue burden showed no reliable
    change across the shooting sequence (β=+0.42 standardized units, 95%
    CI −1.36 to +2.06; q=0.946). It was also not associated with
    amplitude-pattern distance (β=−0.13, 95% CI −0.36 to +0.12; q=0.946)
    or temporal-pattern distance (β=−0.01, 95% CI −0.22 to +0.16;
    q=0.946).</p>
    <p>In the corresponding velocity model, ball velocity was not
    independently associated with the all-muscle fatigue burden (+0.26
    km·h⁻¹ per within-athlete SD, 95% CI −0.59 to +1.15; q=0.846),
    amplitude-pattern distance (+0.59 km·h⁻¹, 95% CI −0.73 to +1.84;
    q=0.846), or temporal-pattern distance (+0.03 km·h⁻¹, 95% CI −1.11
    to +1.00; q=0.944). Neither the all-muscle fatigue ×
    amplitude-pattern interaction (−0.32 km·h⁻¹, 95% CI −1.58 to +0.66;
    q=0.846) nor the all-muscle fatigue × temporal-pattern interaction
    (+0.13 km·h⁻¹, 95% CI −1.17 to +1.28; q=0.944) met the FDR criterion
    (Table 3;
    <ext-link ext-link-type="uri" xlink:href="supplementary/supplementary.pdf">Supplementary
    Table S4</ext-link>).</p>
    <p>The secondary localized burden, calculated from the clavicular
    portion of pectoralis major and teres major after these muscles had
    been identified in the preceding 14-muscle FDR analysis, increased
    across shot position (β=+1.78 standardized units, 95% CI +0.43 to
    +2.97; q=0.030). Because this index was defined post-identification,
    this sequence effect was not interpreted as independent confirmation
    of fatigue.</p>
    <p>In the localized performance model, neither the localized fatigue
    burden (−0.01 km·h⁻¹ per within-athlete SD, 95% CI −0.67 to +0.59;
    q=0.997), amplitude-pattern distance (+0.41 km·h⁻¹, 95% CI −0.89 to
    +1.76; q=0.817), nor temporal-pattern distance (−0.004 km·h⁻¹, 95%
    CI −0.92 to +0.89; q=0.997) was independently associated with ball
    velocity. Likewise, neither the localized fatigue ×
    amplitude-pattern interaction (+0.50 km·h⁻¹, 95% CI −0.94 to +1.64;
    q=0.761) nor the localized fatigue × temporal-pattern interaction
    (−1.07 km·h⁻¹, 95% CI −2.46 to +0.28; q=0.277) met the FDR criterion
    (Figure 5C; Table 3).</p>
    <p>Thus, neither the complete-montage nor the localized analysis
    identified a systematic EMG reorganization that statistically
    accounted for preserved ball velocity.</p>
  </sec>
  <sec id="phase-specific-activation-timing-and-phase-duration">
    <title>3.6. Phase-specific activation timing and phase
    duration</title>
    <p>The activation-weighted temporal-centroid analysis showed
    distinct within-phase timing patterns across the recorded muscles
    (Figure 3C). During cocking, pectoralis major, clavicular portion
    (73.3% of phase), flexor carpi radialis (70.2%), pectoralis major,
    sternocostal portion (69.9%), and lower rectus abdominis (66.9%)
    showed activation distributions weighted toward the later portion of
    the phase.</p>
    <p>During acceleration, middle deltoid (61.9%), posterior deltoid
    (60.4%), thoracic erector spinae (58.8%), middle trapezius (58.2%),
    and infraspinatus (57.7%) showed later temporal centroids, whereas
    both pectoralis major portions were weighted earlier within the
    phase (clavicular portion, 42.0%; sternocostal portion, 42.3%).</p>
    <p>Acceleration duration did not change reliably across the shooting
    series (adjusted end-to-start change −2.58 ms, 95% CI −11.08 to
    +6.51; q=0.589). Cocking duration showed a larger negative point
    estimate (−29.95 ms, 95% CI −73.29 to +1.86), but this change also
    did not meet the FDR criterion (q=0.153).</p>
    <p>Neither phase duration was associated with ball velocity. Each
    additional 10 ms of acceleration was associated with +0.11 km·h⁻¹
    (95% CI −0.56 to +0.73; q=0.729), whereas each additional 10 ms of
    cocking was associated with −0.08 km·h⁻¹ (95% CI −0.27 to +0.10;
    q=0.595). Thus, preserved ball velocity was not explained by a
    systematic change in cocking or acceleration duration. The
    corresponding performance-model estimates are summarized in Table
    3.</p>
  </sec>
  <sec id="phase-specific-changes-across-the-shooting-series">
    <title>3.7. Phase-specific changes across the shooting
    series</title>
    <p>First-five to last-five changes in normalized RMS amplitude were
    heterogeneous across muscles and phases rather than uniformly
    increasing or decreasing (Figure 3B). Descriptively, the largest
    late-series increases were observed during deceleration for
    latissimus dorsi (+26.4 pp), pectoralis major, sternocostal portion
    (+15.4 pp), teres major (+11.7 pp), and lateral triceps (+8.9 pp),
    whereas thoracic erector spinae increased during acceleration (+12.1
    pp).</p>
    <p>In contrast, acceleration-phase amplitude decreased for flexor
    carpi radialis (−4.9 pp), middle deltoid (−4.4 pp), biceps brachii
    (−3.8 pp), middle trapezius (−3.6 pp), and anterior deltoid (−3.6
    pp). Because amplitudes were normalized using athlete- and
    muscle-specific P95 references, these changes describe within-muscle
    variation across the series and should not be interpreted as
    absolute differences between muscles.</p>
    <p>Changes in activation-weighted temporal centroid were smaller and
    likewise showed no common direction (Figure 3D). The largest later
    shifts were observed for flexor carpi radialis during deceleration
    (+5.0% of phase) and pectoralis major, clavicular portion during
    acceleration (+3.6%), whereas biceps brachii shifted earlier during
    cocking (−3.4%).</p>
    <p>Overall, the first-five to last-five comparisons showed
    distributed phase-specific changes in activation amplitude and
    timing without a consistent montage-wide pattern. Figure 5B provides
    a focused visualization of the first-five and last-five
    phase-specific activation profiles of the two FDR-identified
    muscles.</p>
    <fig id="fig-activation-temporal">
      <caption><p>Figure 3: Phase-specific activation and temporal
      organization across the 14-muscle montage. (A) RMS amplitude. (B)
      First-five to last-five RMS-amplitude change. (C)
      Activation-weighted temporal centroid. (D) First-five to last-five
      temporal-centroid shift. pp, percentage points.</p></caption>
      <graphic mimetype="image" mime-subtype="png" xlink:href="media/figure-03-median-frequency-change.png"/>
    </fig>
    <fig id="fig-spectral-changes">
      <caption><p>Figure 4: Fatigue-compatible spectral changes across
      the 14-muscle montage. (A) Shot-by-shot median-frequency reduction
      relative to the first-five reference. (B) Adjusted end-to-start
      change in median frequency; highlighted muscles survived FDR
      correction.</p></caption>
      <graphic mimetype="image" mime-subtype="png" xlink:href="media/figure-04-amplitude.png"/>
    </fig>
    <fig id="tbl-integrated-models">
      <caption><p>Table 3: Integrated activation-fatigue-performance and
      phase-duration models.</p></caption>
      <table-wrap>
        <table>
          <colgroup>
            <col width="20%"/>
            <col width="20%"/>
            <col width="20%"/>
            <col width="20%"/>
            <col width="20%"/>
          </colgroup>
          <thead>
            <tr>
              <th align="left"><bold>Outcome</bold></th>
              <th align="left"><bold>Estimate</bold></th>
              <th align="left"><bold>95% CI</bold></th>
              <th align="left"><bold>FDR q</bold></th>
              <th align="left"><bold>Interpretation</bold></th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="left">All-muscle fatigue burden → velocity</td>
              <td align="left">+0.26 km·h⁻¹ per SD</td>
              <td align="left">−0.59 to +1.15</td>
              <td align="left">0.846</td>
              <td align="left">No independent association</td>
            </tr>
            <tr>
              <td align="left">Amplitude-pattern distance → velocity,
              all-muscle model</td>
              <td align="left">+0.59 km·h⁻¹</td>
              <td align="left">−0.73 to +1.84</td>
              <td align="left">0.846</td>
              <td align="left">No independent association</td>
            </tr>
            <tr>
              <td align="left">Temporal-pattern distance → velocity,
              all-muscle model</td>
              <td align="left">+0.03 km·h⁻¹</td>
              <td align="left">−1.11 to +1.00</td>
              <td align="left">0.944</td>
              <td align="left">No independent association</td>
            </tr>
            <tr>
              <td align="left">All-muscle fatigue × amplitude-pattern
              distance</td>
              <td align="left">−0.32 km·h⁻¹</td>
              <td align="left">−1.58 to +0.66</td>
              <td align="left">0.846</td>
              <td align="left">No interaction</td>
            </tr>
            <tr>
              <td align="left">All-muscle fatigue × temporal-pattern
              distance</td>
              <td align="left">+0.13 km·h⁻¹</td>
              <td align="left">−1.17 to +1.28</td>
              <td align="left">0.944</td>
              <td align="left">No interaction</td>
            </tr>
            <tr>
              <td align="left">Localized fatigue burden → velocity</td>
              <td align="left">−0.01 km·h⁻¹ per SD</td>
              <td align="left">−0.67 to +0.59</td>
              <td align="left">0.997</td>
              <td align="left">No independent association</td>
            </tr>
            <tr>
              <td align="left">Amplitude-pattern distance → velocity,
              localized model</td>
              <td align="left">+0.41 km·h⁻¹</td>
              <td align="left">−0.89 to +1.76</td>
              <td align="left">0.817</td>
              <td align="left">No independent association</td>
            </tr>
            <tr>
              <td align="left">Temporal-pattern distance → velocity,
              localized model</td>
              <td align="left">−0.004 km·h⁻¹</td>
              <td align="left">−0.92 to +0.89</td>
              <td align="left">0.997</td>
              <td align="left">No independent association</td>
            </tr>
            <tr>
              <td align="left">Localized fatigue × amplitude-pattern
              distance</td>
              <td align="left">+0.50 km·h⁻¹</td>
              <td align="left">−0.94 to +1.64</td>
              <td align="left">0.761</td>
              <td align="left">No interaction</td>
            </tr>
            <tr>
              <td align="left">Localized fatigue × temporal-pattern
              distance</td>
              <td align="left">−1.07 km·h⁻¹</td>
              <td align="left">−2.46 to +0.28</td>
              <td align="left">0.277</td>
              <td align="left">No interaction</td>
            </tr>
            <tr>
              <td align="left">Acceleration duration → velocity</td>
              <td align="left">+0.11 km·h⁻¹ per 10 ms</td>
              <td align="left">−0.56 to +0.73</td>
              <td align="left">0.729</td>
              <td align="left">No reliable association</td>
            </tr>
            <tr>
              <td align="left">Cocking duration → velocity</td>
              <td align="left">−0.08 km·h⁻¹ per 10 ms</td>
              <td align="left">−0.27 to +0.10</td>
              <td align="left">0.595</td>
              <td align="left">No reliable association</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
    </fig>
  </sec>
  <sec id="robustness-analyses">
    <title>3.8. Robustness analyses</title>
    <p>The primary spectral findings were robust across alternative
    analytical specifications. Across the complete-montage sensitivity
    framework, all amplitude-adjusted standardized end-to-start
    contrasts remained negative and FDR-significant when
    continuous-wavelet and Fourier estimators, lower-frequency cutoffs
    of 20, 30, and 40 Hz, active-window restriction, and low-band
    trimming were applied (all q≤0.0012;
    <ext-link ext-link-type="uri" xlink:href="supplementary/supplementary.pdf">Supplementary
    Table S5</ext-link>).</p>
    <p>At the muscle-specific level, the two muscles identified in the
    primary analysis remained affected under the conservative ≥40-Hz
    analysis with concurrent amplitude adjustment: pectoralis major,
    clavicular portion showed an adjusted change of −5.69 Hz (q=0.0008),
    and teres major showed −12.79 Hz (q=0.0165).</p>
    <p>Leave-one-athlete-out analyses yielded negative end-to-start
    estimates in every repetition for the complete-montage standardized
    contrast and for both FDR-identified muscles, indicating that the
    direction of the primary spectral findings was not driven by any
    single athlete.</p>
    <p>The chronological permutation analysis was directionally
    consistent with the primary findings but did not independently meet
    the FDR criterion (q=0.080). It was therefore considered a secondary
    robustness check rather than independent statistical
    confirmation.</p>
  </sec>
</sec>
<sec id="discussion">
  <title>4. Discussion</title>
  <p>The present study examined the myoelectric response to repeated
  maximal shooting in 14 professional water polo players using a
  14-muscle throwing-side and trunk sEMG montage synchronized with
  movement-phase identification and ball-velocity assessment.
  Fatigue-compatible spectral changes were evaluated within a
  standardized late-cocking window, while phase-specific activation
  amplitude, temporal organization, movement-phase duration, and
  multimuscle pattern reorganization were examined across the shooting
  sequence. The main findings were that ball velocity remained
  preserved, whereas significant reductions in median frequency emerged
  selectively in the clavicular portion of pectoralis major and teres
  major. Changes in activation amplitude and timing were heterogeneous
  across the recorded musculature, and neither complete-montage nor
  localized measures of EMG reorganization were systematically
  associated with ball velocity. Together, these findings indicate that
  localized myoelectric alterations can develop during repeated maximal
  sport-specific actions without a concomitant deterioration in the
  primary external performance outcome.</p>
  <p>The dissociation between preserved ball velocity and localized
  fatigue-compatible spectral change is one of the most relevant
  observations of the present study. Maintenance of the task outcome did
  not imply stability of the underlying myoelectric state. This
  interpretation is consistent with contemporary views of fatigability,
  according to which physiological adjustments may develop before they
  become evident as task failure or measurable performance loss
  [<xref alt="3" rid="ref-3" ref-type="bibr">3</xref>]. A similar
  dissociation has previously been reported in water polo by Royal et
  al. [<xref alt="12" rid="ref-12" ref-type="bibr">12</xref>], who
  found that increasing fatigue impaired aspects of shooting performance
  and technique while ball velocity remained comparatively resistant to
  deterioration. The present results extend this concept by showing that
  muscle-specific spectral alterations may also emerge despite
  preservation of ball speed. Importantly, the spectral effects
  identified here were not dependent on a single analytical
  specification: their direction was maintained across alternative
  lower-frequency cutoffs, wavelet and Fourier estimators, concurrent
  amplitude adjustment, active-window restriction, and
  leave-one-athlete-out analyses. The findings therefore support the
  possibility that, during a relatively short sequence of maximal
  sport-specific efforts, local myoelectric alterations may precede any
  detectable reduction in the primary performance variable.</p>
  <p>The selective involvement of the clavicular portion of pectoralis
  major and teres major is biomechanically plausible, although the
  present data do not establish why these two muscles were
  preferentially affected. Both contribute to forceful shoulder actions
  relevant to overhead propulsion, including humeral adduction and
  internal rotation. Classic electromyographic investigations of
  throwing have identified pectoralis major among the muscles strongly
  activated during the propulsive phase, while skilled throwers appear
  to organize shoulder-muscle activity differently from less experienced
  performers [<xref alt="20" rid="ref-20" ref-type="bibr">20</xref>].
  More broadly, the throwing kinetic chain transfers motion and force
  generated by proximal segments through the shoulder and upper limb to
  the ball [<xref alt="21" rid="ref-21" ref-type="bibr">21</xref>].
  Experimental work on shoulder internal-rotation tasks has also
  demonstrated coordinated involvement of pectoralis major and teres
  major [<xref alt="22" rid="ref-22" ref-type="bibr">22</xref>], and
  sport-dependent adaptations in shoulder-muscle activation during
  fatiguing internal-rotation exercise have been described in elite
  aquatic athletes, including water polo players
  [<xref alt="23" rid="ref-23" ref-type="bibr">23</xref>]. In the
  present phase atlas, both the clavicular portion of pectoralis major
  and teres major showed acceleration-selective activation, further
  supporting the biomechanical plausibility of their involvement.
  However, the spectral outcome was measured during the final 200 ms of
  cocking, immediately before acceleration. The findings should
  therefore be interpreted as evidence that fatigue-compatible
  myoelectric alterations in these muscles were detectable before the
  propulsive phase, rather than as evidence that fatigue was generated
  specifically during acceleration.</p>
  <p>Another important finding was that high relative activation did not
  necessarily correspond to greater fatigue-compatible spectral change.
  Flexor carpi radialis and lateral triceps showed some of the strongest
  acceleration-phase selectivity, yet neither demonstrated a reliable
  reduction in median frequency. Conversely, the two muscles showing
  significant spectral changes did not exhibit a uniform increase in RMS
  amplitude across the shooting sequence. This distinction is
  physiologically and methodologically important because amplitude- and
  frequency-domain sEMG measures provide complementary but
  non-equivalent information. Surface-EMG amplitude is influenced by
  motor-unit recruitment and discharge behavior, but also by
  action-potential cancellation, electrode–muscle geometry, muscle
  length, contraction velocity, and other factors that become
  particularly relevant during dynamic movements
  [<xref alt="4" rid="ref-4" ref-type="bibr">4</xref>,
  <xref alt="6" rid="ref-6" ref-type="bibr">6</xref>,
  <xref alt="7" rid="ref-7" ref-type="bibr">7</xref>]. Spectral
  variables are likewise not direct readouts of a single physiological
  mechanism, because changes in muscle-fiber conduction,
  action-potential characteristics, motor-unit behavior, and recording
  geometry can all influence their values
  [<xref alt="24" rid="ref-24" ref-type="bibr">24</xref>].
  Accordingly, the present findings do not support a simple model in
  which repeated shooting produces fatigue that is accompanied by a
  uniform increase in RMS amplitude across the throwing musculature.
  Rather, the amplitude and spectral domains captured different aspects
  of the evolving myoelectric response, reinforcing the value of
  examining both during dynamic sport-specific tasks
  [<xref alt="4" rid="ref-4" ref-type="bibr">4</xref>,
  <xref alt="9" rid="ref-9" ref-type="bibr">9</xref>].</p>
  <p>The integrated analyses did not identify a single, common
  reorganization of the recorded EMG pattern that accounted for
  preservation of ball velocity. Neither the non-selected all-muscle
  fatigue burden nor amplitude-pattern or temporal-pattern distance was
  independently associated with ball velocity, and the corresponding
  interaction terms were also null. The secondary localized model led to
  the same conclusion. These findings should not be interpreted as
  evidence that compensatory adjustments did not occur. Surface EMG
  captures only part of the neuromuscular coordination underlying a
  complex whole-body task, and inferring neural control strategies from
  changes in multimuscle surface signals requires caution
  [<xref alt="25" rid="ref-25" ref-type="bibr">25</xref>]. Moreover,
  fatigue-related adaptation does not necessarily require wholesale
  reorganization of muscle coordination. Turpin et al.
  [<xref alt="26" rid="ref-26" ref-type="bibr">26</xref>], for
  example, showed during cyclic exercise that fatigue-related
  adaptations could occur largely through changes in activation level
  while broader coordination patterns remained comparatively stable. In
  water polo, the range of possible mechanical solutions may be even
  greater because ball velocity depends on body elevation, trunk
  rotation, scapular control, upper-limb sequencing, and lower-limb
  support [<xref alt="10" rid="ref-10" ref-type="bibr">10</xref>,
  <xref alt="11" rid="ref-11" ref-type="bibr">11</xref>,
  <xref alt="21" rid="ref-21" ref-type="bibr">21</xref>]. The
  heterogeneous first-to-last changes observed across muscles and
  phases, together with the absence of a montage-wide statistical
  pattern, are therefore more consistent with variable or
  athlete-specific adjustments than with a single universal compensation
  strategy. This interpretation is also compatible with previous
  evidence of substantial intraindividual movement variability during
  the 5-m water polo shot despite comparatively stable performance
  outcomes
  [<xref alt="15" rid="ref-15" ref-type="bibr">15</xref>].</p>
  <p>The temporal findings further argue against a simple mechanical
  explanation for preserved ball speed. Neither acceleration nor cocking
  duration changed reliably across the shooting series, and neither
  duration was associated with velocity. Players therefore did not
  appear to preserve performance by systematically extending the
  acceleration phase or by producing a consistent change in gross
  cocking duration. Activation-weighted temporal-centroid changes were
  likewise heterogeneous and generally small, with no common shift
  across the muscle montage. Ball velocity itself showed an initial rise
  followed by later attenuation rather than a progressive monotonic
  decline. Several mechanisms could theoretically contribute to such a
  trajectory, including familiarization, task-specific potentiation,
  progressive optimization of the shooting action, or competing effects
  of potentiation and accumulating fatigue. These mechanisms were not
  directly measured, however, and cannot be distinguished from the
  present dataset. The appropriate interpretation is therefore more
  limited: despite repeated maximal efforts and localized
  fatigue-compatible spectral changes, neither gross phase duration nor
  a common temporal reorganization of recorded muscle activity explained
  preservation of ball velocity.</p>
  <p>Taken together, the present findings suggest short-term performance
  resilience during repeated maximal shooting in professional water polo
  players. The observable task outcome remained stable despite localized
  alterations in the myoelectric signal, indicating that preserved ball
  velocity should not be equated with absence of neuromuscular change.
  At the same time, the results should not be interpreted as evidence
  that the athletes were globally unfatigued or that the clavicular
  portion of pectoralis major and teres major alone determined the
  physiological cost of the task. The complete 14-muscle analysis
  instead showed that fatigue-compatible spectral manifestations were
  selective within the recorded montage, whereas activation amplitude
  and temporal organization changed heterogeneously across muscles and
  phases. The study therefore supports a distinction between external
  performance and local myoelectric state during repeated explosive
  sport actions. This interpretation remains physiological rather than
  causal: the present design demonstrates concurrent evolution of
  myoelectric characteristics and performance, but it cannot determine
  the specific mechanisms by which ball velocity was maintained.</p>
  <sec id="practical-applications">
    <title>4.1. Practical applications</title>
    <fig id="fig-localized-performance">
      <caption><p>Figure 5: Localized myoelectric change and performance
      integration. (A) Shot-by-shot spectral evolution of the two
      FDR-identified muscles. (B) Descriptive first-five versus
      last-five phase-specific activation profiles. (C) Exploratory
      post-identification localized performance model.</p></caption>
      <graphic mimetype="image" mime-subtype="png" xlink:href="media/figure-05-timing.png"/>
    </fig>
    <p>From an applied perspective, ball velocity alone may
    underestimate the neuromuscular cost of repeated maximal shooting.
    In the present professional cohort, velocity remained preserved
    while two shoulder muscles already showed robust fatigue-compatible
    spectral changes. This finding does not imply that multichannel sEMG
    should routinely be used during training, but it suggests that
    stable ball speed should not automatically be interpreted as
    evidence of an unchanged muscular state. Shot volume, inter-shot
    recovery, technical quality, perceived exertion, body elevation, and
    shoulder symptoms may therefore provide useful complementary
    information when repeated maximal-shooting sets are prescribed.</p>
    <p>The selective involvement of the clavicular portion of pectoralis
    major and teres major may also be relevant when considering
    conditioning and recovery strategies for repeated overhead shooting.
    However, these findings should not be translated into isolated
    strengthening or injury-prevention prescriptions. Water polo
    shooting depends on an integrated kinetic chain
    [<xref alt="21" rid="ref-21" ref-type="bibr">21</xref>], and
    previous work in aquatic athletes indicates that fatigue-related
    shoulder activation patterns can differ according to sport-specific
    adaptation
    [<xref alt="23" rid="ref-23" ref-type="bibr">23</xref>]. The
    present results therefore support individualized monitoring of
    repeated-shooting load and recovery rather than a universal
    intervention focused on two muscles.</p>
  </sec>
  <sec id="strengths-and-limitations">
    <title>4.2. Strengths and limitations</title>
    <p>Several features strengthen the present study. First, the
    protocol examined professional athletes performing a sport-specific
    maximal action rather than an isolated laboratory contraction.
    High-sampling-rate sEMG was synchronized with multi-view video and
    stereo-derived ball velocity, allowing local myoelectric behavior to
    be examined together with the external performance outcome. Second,
    the same 14-muscle montage was evaluated using explicit
    signal-quality criteria, and the primary spectral analysis was
    applied consistently across all recorded muscles. Third, the models
    accounted for concurrent RMS amplitude and within-athlete ball
    velocity, controlled multiplicity across the complete muscle set,
    and quantified uncertainty at the athlete level rather than treating
    repeated shots as statistically independent observations. The
    primary findings were also challenged through multiple alternative
    spectral specifications and leave-one-athlete-out analyses. Finally,
    separating the non-selected all-muscle burden from the
    post-identification localized burden reduced the risk of presenting
    the latter as independent confirmation of the two muscle-specific
    findings.</p>
    <p>Several limitations nevertheless constrain interpretation. First,
    the study included only 14 male professional players from a single
    team. Although the repeated-shot design generated a relatively large
    number of observations, the number of independent athletes remained
    small, particularly for interaction analyses. The results therefore
    cannot automatically be generalized to female athletes, younger
    players, lower competitive levels, or athletes from other teams and
    training backgrounds. Second, surface EMG recorded during a rapid
    aquatic overhead movement is particularly vulnerable to changes in
    electrode–muscle geometry, motion artifact, amplitude cancellation,
    and cross-talk
    [<xref alt="6" rid="ref-6" ref-type="bibr">6</xref>,
    <xref alt="7" rid="ref-7" ref-type="bibr">7</xref>,
    <xref alt="25" rid="ref-25" ref-type="bibr">25</xref>]. This is
    especially relevant when interpreting individual shoulder muscles,
    including teres major, and reinforces the need to describe the
    observed spectral changes as fatigue-compatible myoelectric
    manifestations rather than direct measures of local biochemical
    fatigue. Third, the study did not include direct measures of central
    or peripheral fatigue, muscle-fiber conduction velocity, metabolic
    state, perceived exertion, or local muscle oxygenation. The
    physiological mechanisms underlying the observed spectral changes
    therefore cannot be determined from the present dataset. Fourth, P95
    amplitude normalization was specific to each athlete and muscle and
    consequently supports within-muscle comparisons across the shooting
    sequence but does not permit interpretation of absolute activation
    magnitude between different muscles. Finally, the shooting sequence
    represented a relatively brief repeated-effort protocol with
    approximately 5 s between shots. The findings should therefore be
    interpreted as characterizing short-term responses to repeated
    maximal shooting rather than the neuromuscular consequences of an
    entire match or prolonged training session.</p>
  </sec>
</sec>
<sec id="conclusion">
  <title>5. Conclusion</title>
  <p>Repeated maximal shooting in professional water polo produced
  selective fatigue-compatible myoelectric changes without a concomitant
  decline in ball velocity. Median-frequency reductions were confined to
  pectoralis major, clavicular portion, and teres major, whereas
  amplitude and temporal reorganization remained heterogeneous across
  the broader muscle montage. These findings indicate that preserved
  external performance can coexist with localized myoelectric
  alterations and support the use of muscle-specific sEMG measures
  alongside performance outcomes when evaluating fatigue during repeated
  maximal shooting.</p>
</sec>
<sec id="declarations">
  <title>Declarations</title>
  <table-wrap>
    <table>
      <colgroup>
        <col width="50%"/>
        <col width="50%"/>
      </colgroup>
      <thead>
        <tr>
          <th>Declaration</th>
          <th>Statement</th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <td><bold>Author Contributions</bold></td>
          <td>Conceptualization, N.L.B., F.C. and L.P.; Methodology,
          F.C., H.İ.C. and L.P.; Formal analysis, N.L.B., F.C. and
          H.İ.C.; Investigation, F.C. and L.P.; Data curation, F.C. and
          H.İ.C.; Writing – original draft, F.C.; Writing – review &amp;
          editing, H.İ.C. and L.P.; Visualization, F.C. and H.İ.C.;
          Supervision, L.P.; Project administration, L.P. All authors
          have read and agreed to the published version of the
          manuscript.</td>
        </tr>
        <tr>
          <td><bold>Funding</bold></td>
          <td>This research received no external funding.</td>
        </tr>
        <tr>
          <td><bold>Institutional Review Board Statement</bold></td>
          <td>The study was conducted in accordance with the Declaration
          of Helsinki and was approved by the Comitato Etico per la
          Ricerca di Ateneo (CERA; approval no. 2024.55, 14 June
          2024).</td>
        </tr>
        <tr>
          <td><bold>Informed Consent Statement</bold></td>
          <td>Written informed consent was obtained from all
          participants involved in the study.</td>
        </tr>
        <tr>
          <td><bold>Data and Code Availability</bold></td>
          <td>The de-identified processed datasets, complete analysis
          tables, and analysis code supporting the findings of this
          study are available from the corresponding author upon
          reasonable request.</td>
        </tr>
        <tr>
          <td><bold>Acknowledgments</bold></td>
          <td>The authors have no acknowledgments to report.</td>
        </tr>
        <tr>
          <td><bold>Competing Interests</bold></td>
          <td>The authors declare no commercial, financial, or other
          relationships that could be construed as a potential conflict
          of interest.</td>
        </tr>
        <tr>
          <td><bold>Supplementary Materials</bold></td>
          <td>Supplementary Tables S1–S5 and Supplementary Figure S1.
          Table S1: Data quality; Table S2: FDR-significant amplitude
          phase-selectivity contrasts; Table S3: Complete-montage
          muscle-specific spectral models; Table S4: Integrated
          all-muscle and localized fatigue models; Table S5:
          Complete-montage spectral sensitivity analyses; Figure S1:
          Observed peak-phase amplitude contrasts across the 14-muscle
          montage.</td>
        </tr>
        <tr>
          <td><bold>Generative AI Disclosure</bold></td>
          <td>No type of AI was used</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>
</sec>
</body>

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