Control of the Extension-Flexion Cycle of Human Knees During Bicycle Riding by a Synergy of Solitary Muscular Excitations and Contractions

TL;DR

This paper introduces a Hill-type model that simulates the human knee's extension-flexion cycle during cycling, using mathematical solitons to represent muscular actions and contractions, with applications to knee arthroplasty.

Contribution

It presents a novel biomechanical model combining Sine-Gordon kinks and Korteweg-de Vries solitons to simulate knee movements during cycling.

Findings

Model accurately captures knee motion dynamics.

Provides insights into muscular contributions during cycling.

Potential applications in knee surgery planning.

Abstract

A Hill-type model is proposed for the extension-flexion cycle of human knees during bicycle riding. The extension-flexion cycle is controlled by a synergy of muscular excitations and contractions of the knee musculature. Muscular action potentials are modeled by Sine-Gordon kinks, while titin-influenced actomyosin contractionsare modeled by Korteweg-de Vries solitons. As an application, the total knee arthroplasty is discussed.