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Related Experiment Video

Updated: Dec 17, 2025

Using Gold-standard Gait Analysis Methods to Assess Experience Effects on Lower-limb Mechanics During Moderate High-heeled Jogging and Running
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Using the spring-mass model for running: Force-length curves and foot-strike patterns.

Niamh Gill1, Stephen J Preece1, Richard Baker1

  • 1Centre for Health Sciences Research, University of Salford, PO34 Brian Blatchford Building, Manchester, M6 6PU, United Kingdom.

Gait & Posture
|June 28, 2020
PubMed
Summary

The spring-mass model

Keywords:
Force-length relationshipsModellingRunningSpring-mass modelStiffness

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Area of Science:

  • Biomechanics
  • Human Running Mechanics
  • Sports Science

Background:

  • The spring-mass model is widely used to analyze human running mechanics.
  • It assumes a linear force-length relationship and constant stiffness during the stance phase.
  • The validity of this linearity assumption across different running styles is not well understood.

Purpose of the Study:

  • To investigate how the linearity of the force-length curve differs among runners.
  • To determine if force-length linearity is associated with foot-strike index and running speed.

Main Methods:

  • Collected kinematic and kinetic data from 28 participants running at four different speeds.
  • Quantified linearity using R-squared (R²) values, with R² ≥ 0.95 defining linear behavior.
  • Employed a linear mixed model to assess associations between linearity, foot-strike index, and speed.

Main Results:

  • Only 36-46% of participants exhibited linear force-length behavior during the loading phase across speeds.
  • Both foot-strike index (p=0.003) and speed (p<0.001) significantly impacted force-length linearity during loading.

Conclusions:

  • The assumption of a linear force-length relationship is not universally applicable to all runners.
  • Using a constant stiffness value with the spring-mass model may be inappropriate for characterizing diverse running styles.
  • Future research should report force-length linearity data when using the spring-mass model for stiffness characterization.