Mechanics of Cellular Bone Remodeling
Coupled Thermal, Electrical, and Mechanical Field Effects
Research on bone remodeling has resulted in much new information and has led to improvements in design and biomedical practices. Mechanics of Cellular Bone Remodeling: Coupled Thermal, Electrical, and Mechanical Field Effects presents a unified exploration of recent advances, giving readers a sound understanding of bone remodeling and its mathematical representation.
Beginning with a description of the basic concept of bone remodeling from a mathematical point of view, the book details the development of each of the techniques and ideas. From there it progresses to the derivation and construction of multifield and cellular bone remodeling and shows how they arise naturally in response to external multifield loads. Topics include:
- Fundamental concepts and basic formulations for bone remodeling
- Applications of formulations to multifield internal bone remodeling of inhomogeneous long cylindrical bone
- Theory and solution of multifield surface bone remodeling
- A hypothetical regulation mechanism on growth factors for bone modeling and remodeling under multifield loading
- The RANK–RANKL–OPG pathway and formulation for analyzing the bone remodeling process
- A model of bone cell population dynamics for cortical bone remodeling under mechanical and pulsed electromagnetic stimulus
- Recent developments in experiments with bone materials
Readers will benefit from the thorough coverage of general principles for each topic, followed by detailed mathematical derivations and worked examples, as well as tables and figures where appropriate. The book not only serves as a reliable reference but is also destined to attract interested readers and researchers to a field that offers fascinating and technologically important challenges.
Table of Contents
Introduction to Bone Materials. Types of Bones. Bone Functions. Bone Cells. Osteoporosis. Bone Metabolism. Introduction to Bone Remodeling. Basic Bone Remodeling Theory. Adaptive Elastic Theory. A Simple Theory of Surface Bone Remodeling. A Simple Theory of Internal Bone Remodeling. Multifield Internal Bone Remodeling. Linear Theory of Thermoelectroelastic Bone. Analytical Solution of a Homogeneous Hollow Circular Cylindrical Bone. Semianalytical Solution for Inhomogeneous Cylindrical Bone Layers. Internal Surface Pressure Induced by a Medullar Pin. Numerical Examples. Extension to Thermomagnetoelectroelastic Solid. Multifield Surface Bone Remodeling. Solution of Surface Modeling for a Homogeneous Hollow Circular Cylindrical Bone. Application of Semianalytical Solution to Surface Remodeling of Inhomogeneous Bone. Surface Remodeling Equation Modified by an Inserting Medullar Pin. Numerical Examples for Thermopiezoelectric Bones. Extension to Thermomagnetoelectroelastic Solid References. Theoretical Models of Bone Modeling and Remodeling. Hypothetical Mechanism of Bone Remodeling. A Mechanistic Model for Internal Bone Remodeling. . . A Model for Electromagnetic Bone Remodeling. Bone Surface Modeling Model Considering Growth Factors. Bone Remodeling Induced by a Medullary Pin. Effect of Parathyroid Hormone on Bone Metabolism. Structure of the Model and Assumption. Bone Remodeling Formulation. Results and Discussion. Cortical Bone Remodeling under Mechanical Stimulus. Development of Mathematical Formulation. Numerical Investigation. Parametric Study of the Control Mechanism. Bone Remodeling under Pulsed Electromagnetic Fields and Clinical Applications. Model Development. Numerical Investigation of the Model. Parametric Study of Control Mechanism of Bone Remodeling under PEMF. Effects of PEMF on Patients Undergoing Hip Revision. Experiments. Removal of Soft Tissue from Bone Samples. Microindentation Testing of Dry Cortical Bone Tissues. Stretching–Relaxation Properties of Bone Piezovoltage. Influence of Shear Stress on Bone Piezovoltage. Appendix A: Bone Types Based on Pattern of Development and Region. Index.
Qing-Hua Qin received his bachelor of engineering degree in mechanical engineering from Chang An University, China in 1982, and his master of science and Ph.D. degrees in applied mechanics from Huazhong University of Science and Technology (HUST), China in 1984 and 1990, respectively. He is currently working as a professor in the Research School of Engineering at the Australian National University, Canberra, Australia. He was appointed a guest professor at HUST in 2000 and was a recipient of the J. G. Russell Award from the Australian Academy of Science. He has published over 200 journal papers and 6 monographs.