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Updated: Jun 5, 2026
09:32
Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
Published on: April 11, 2018
Strain driven transport for bone modeling at the periosteal surface.
Leslie Banks-Sills1, Per Ståhle, Ingrid Svensson
1School of Mechanical Engineering, The Fleischman Faculty of Engineering, Tel Aviv University, 69978 Ramat Aviv, Israel. banks@eng.tau.ac.il
Mathematical Biosciences
|January 5, 2011
Summary
This study introduces a mathematical model for bone growth, suggesting that increased nutrient flow, like nitric oxide synthase (NOS) and prostaglandin E2 (PGE2), to the bone surface drives modeling. Higher nutrient seepage, particularly on the tensile side, correlates with greater bone formation.
Area of Science:
- Biomechanical Engineering
- Cellular Biology
- Mathematical Modeling
Background:
- Bone modeling and remodeling are complex biological processes extensively studied experimentally and computationally.
- Existing mathematical models offer insights, but a macroscopic, analytical approach is explored here.
Purpose of the Study:
- To develop a one-dimensional analytical model for cortical bone growth at the periosteal surface.
- To identify key factors influencing bone modeling, focusing on nutrient transport.
Main Methods:
- A macroscopic, one-dimensional analytical model of a long bone was developed.
- Nutrient transport (nitric oxide synthase and prostaglandin E2) was modeled as a strain-controlled process.
- The resulting partial differential equation was linearized and solved analytically.
Main Results:
- Bone growth is promoted by increased seepage of nutrients (NOS, PGE2) to the periosteal surface for osteoblast absorption.
- Nutrient transport is strain-controlled, with seepage being greatest on the tensile side of the bone.
- Loading frequency, cycle number, and strain level influence nutrient seepage and bone modeling.
Conclusions:
- The model provides analytical insights into the macroscopic regulation of cortical bone growth.
- Strain-controlled nutrient transport is a critical factor in periosteal bone modeling.
- The findings align with experimental observations of bone formation on the tensile side.
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