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Analyzing Complex Non-Linear Fascia-Muscle Interactions Using Cross-Recurrence Quantification Analysis

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  • Andreas Brandl

    (Conservative and Rehabilitative Orthopedics, TUM School of Medicine and Health, Technical University of Munich, 80333 Munich, Germany
    Department for Medical Professions, Diploma Hochschule, 37242 Bad Sooden-Allendorf, Germany)

  • Marcus Müller

    (Institute for Physical Education and Sport, Karlsruhe University of Education, 76133 Karlsruhe, Germany)

  • Robert Schleip

    (Conservative and Rehabilitative Orthopedics, TUM School of Medicine and Health, Technical University of Munich, 80333 Munich, Germany
    Department for Medical Professions, Diploma Hochschule, 37242 Bad Sooden-Allendorf, Germany)

Abstract

Biophysical, neurophysiological, psychological and social processes along with their interactions are complex, often non-linear and inherently time-dependent. However, time series analysis of such measurements usually requires extensive data processing and is therefore potentially associated with structural biases. This exploratory secondary analysis introduces cross-recurrence quantification analysis (CRQA), which is explicitly suited to time series with complicated non-stationary properties. We illustrate and validate CRQA using a previous study that investigated the dynamic relationship between thoracolumbar fascia deformation and back extensor muscle activity in patients with low back pain. CRQA revealed significant differences in the relationships between fascia and muscles in low back pain patients compared to healthy individuals. The analysis revealed more specific aspects of fascia-muscle coupling than traditional analytical approaches, suggesting that CRQA is a useful additional tool for investigating time-dependent interactions with dynamic complex nonlinear patterns.

Suggested Citation

  • Andreas Brandl & Marcus Müller & Robert Schleip, 2026. "Analyzing Complex Non-Linear Fascia-Muscle Interactions Using Cross-Recurrence Quantification Analysis," Stats, MDPI, vol. 9(2), pages 1-11, March.
  • Handle: RePEc:gam:jstats:v:9:y:2026:i:2:p:35-:d:1902551
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