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Updated: Dec 11, 2025

Use of a Foot-Induced Digitally Controlled Resistance Device for Functional Magnetic Resonance Imaging Evaluation in Patients with Foot Paresis
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Theoretical justification for distal foot power equation.

Blake M Ashby1

  • 1Associate Professor, School of Engineering Padnos College of Engineering and Computing, Grand Valley State University, 301 W Fulton Street, KEN 325, Grand Rapids, MI 49504, United States.

Journal of Biomechanics
|August 19, 2020
PubMed
Summary

The distal foot power equation estimates foot power during movement. This study provides a thorough derivation, clarifying its assumptions and applications for both rigid and deformable ground interactions.

Keywords:
Distal segment powerEnergeticsInternal foot powerRigid-body modeling

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Area of Science:

  • Biomechanics
  • Kinetics
  • Foot mechanics

Background:

  • The distal foot power equation is a valuable tool in biomechanics for estimating power within the foot.
  • Despite its utility, the theoretical underpinnings and derivation of this equation have been limited.
  • A clear understanding of its derivation and assumptions is crucial for accurate application and interpretation.

Purpose of the Study:

  • To provide a comprehensive derivation of the distal foot power equation.
  • To clarify the underlying assumptions and theoretical basis of the equation.
  • To extend the derivation to include sliding and deformable ground interactions.

Main Methods:

  • Derivation of the distal foot power equation for a rigid body model with a rigid ground.
  • Generalization of the derivation to include sliding and a deformable ground surface.
  • Analysis of power components including rigid body motion, internal deformation, and ground interaction.

Main Results:

  • The derivation clarifies that distal foot power relates to the deviation from a rigid body state between the foot's mass center and the center of pressure.
  • For sliding on deformable ground, distal foot power encompasses internal foot deformation, sliding power, and ground deformation power.
  • The study provides a foundational theoretical framework for the distal foot power equation.

Conclusions:

  • The provided derivation enhances the understanding and application of the distal foot power equation in biomechanical analyses.
  • The generalized model offers a more comprehensive approach to analyzing foot-ground interactions.
  • This work facilitates more accurate interpretation of power dynamics during locomotion.