Distribution Principle of Bone Tissue

TL;DR

This study explores the mass distribution features of bone tissue, revealing relationships between geometry and strength, which can aid osteoporosis assessment and exercise guidance.

Contribution

It introduces a geometric concept of bone tissue distribution and establishes a bone strength equation based on mass and geometric distribution laws.

Findings

Center of mass of bone tissue aligns with centroid of geometry in vivo

A new bone strength equation is proposed based on distribution features

Mass and geometric distribution laws extend Wolff's law

Abstract

Using the analytic and experimental techniques we present an exploratory study of the mass distribution features of the high coincidence of centre of mass of heterogeneous bone tissue in vivo and its centroid of geometry position. A geometric concept of the average distribution radius of bone issue is proposed and functional relation of this geometric distribution feature between the partition density and its relative tissue average distribution radius is observed. Based upon the mass distribution feature, our results suggest a relative distance assessment index between the center of mass of cortical bone and the bone center of mass and establish a bone strength equation. Analysing the data of human foot in vivo, we notice that the mass and geometric distribution laws have expanded the connotation of Wolff's law, which implies a leap towards the quantitative description of bone strength. We finally conclude that this will not only make a positive contribution to help assess osteoporosis, but will also provide guidance to exercise prescription to the osteoporosis patients.