Theoretical justification for distal foot power equation

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.