Biomedical Engineering / sEMG Muscle Fatigue Spectral Shift
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LABORATORY 11 · BIOMEDICAL ENGINEERING

sEMG Muscle Fatigue Spectral Shift theory

Understand semg muscle fatigue spectral shift: governing biomedical equations, biopotentials, constitutive tissue models, and medical devices.

Biomedical and physiological foundations of sEMG Muscle Fatigue Spectral Shift.

Surface electromyography (sEMG) records the spatial-temporal summation of motor unit action potential trains (MUAPTs) propagating along skeletal muscle sarcolemmas during voluntary muscle activation. In rehabilitation engineering, sports biomechanics, and ergonomic assessment, sEMG provides an objective non-invasive biomarker of localized muscle fatigue. When a muscle sustains a constant submaximal isometric contraction (e.g., holding 50% of maximum voluntary contraction, MVC), anaerobic metabolism leads to intramuscular lactic acid accumulation, intracellular H⁺ ion buildup, and extracellular K⁺ accumulation. These biochemical shifts impair sarcolemmal excitability and reduce the Muscle Fiber Conduction Velocity (MFCV) from approximately 4.5 m/s down to 2.5 m/s. Because the power spectral density (PSD) of the surface EMG signal scales proportionally with conduction velocity, muscle fatigue manifests as a progressive downward shift of the spectral energy toward lower frequencies. The median frequency (MDF)—the frequency that divides the power spectrum into two equal halves—exhibits a steady, linear decline across sustained contraction time t: MDF = -k_f · t + MDF_0. Concurrently, motor unit recruitment and synchronization increase, causing the root-mean-square (RMS) amplitude to rise. In this laboratory experiment, sEMG signals from the biceps brachii are analyzed via Fast Fourier Transform (FFT) during a 60-second isometric hold to evaluate the spectral fatigue rate k_f.

MDF = -k_f · t + MDF_0 = -0.6500 · t + 95.0000

Viva voce questions & analytical theory

What is the physiological cause of the EMG spectral compression toward lower frequencies during muscle fatigue?

During sustained isometric contraction, lactic acid and H⁺ ions accumulate, lowering intracellular pH, while K⁺ builds up in extracellular t-tubules. This impairs membrane excitability and slows Muscle Fiber Conduction Velocity (MFCV). Because the surface EMG power spectrum scales directly with conduction velocity, the entire spectrum compresses toward lower frequencies.

How is the Median Frequency (MDF) defined mathematically?

The median frequency MDF satisfies the integral equation: ∫[0 to MDF] P(f) df = ∫[MDF to ∞] P(f) df = 0.5 · ∫[0 to ∞] P(f) df, where P(f) is the power spectral density. It is less sensitive to noise and high-frequency harmonics than the mean frequency.

Why does the Root-Mean-Square (RMS) amplitude of sEMG often increase during submaximal fatiguing contractions?

As active motor units fatigue and produce less mechanical twitch force, the central nervous system compensates by recruiting additional motor units and increasing motor unit firing synchronization to maintain the target force, increasing the net electrical amplitude at the skin surface.

Why must the highpass filter cutoff be set to at least 20 Hz in surface EMG recording?

Electrode-skin contact motion artifacts and mechanical cable vibrations produce high-amplitude low-frequency noise predominantly between 0 and 15 Hz; a 20 Hz highpass filter strips these artifacts without losing significant myoelectric signal energy.

What is the recommended inter-electrode distance (IED) under SENIAM guidelines?

The Surface ElectroMyoGraphy for the Non-Invasive Assessment of Muscles (SENIAM) European project recommends an inter-electrode distance of 20 mm placed parallel to muscle fibers, halfway between the innervation zone and distal tendon.

How does muscle fiber type (Type I vs Type II) influence the rate of spectral fatigue?

Fast-twitch glycolytic fibers (Type II) have higher conduction velocities and higher baseline median frequencies, but fatigue rapidly due to anaerobic glycogen depletion, producing steeper MDF decline slopes than fatigue-resistant slow-twitch oxidative fibers (Type I).

Experimental precautions and patient safety

  • Align electrodes strictly parallel to the longitudinal axis of muscle fibers to prevent spatial filtering distortion.
  • Ensure subject maintains strictly constant isometric force; force fluctuations alter motor unit recruitment.
  • Avoid placing electrodes over the muscle motor point (innervation zone) where bidirectional action potentials collide.
  • Allow at least 15 minutes of rest between trials to ensure full metabolic clearance of muscle metabolites.

Theoretical assumptions & biological limits

  • The linear spectral decline model applies during constant-force isometric contractions (10 s to 60 s).
  • Does not model dynamic contractions (concentric/eccentric) where muscle geometry shifts under electrodes.
  • Skin subcutaneous fat thickness attenuates high frequencies, acting as an anatomical spatial lowpass filter.
  • Crosstalk from adjacent synergist muscles (brachialis, coracobrachialis) can contaminate the detected signal.
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Connect physiological theory to empirical clinical data.

Evaluated on the biceps brachii of a healthy subject maintaining 50% MVC isometric forearm flexion against a load cell. Differential sEMG sampled at 2048 Hz (bandpass 20-450 Hz). Power spectral density calculated using 1024-point Hanning-windowed FFT epochs.