仿生工程学报 ›› 2017, Vol. 14 ›› Issue (4): 659-671.doi: 10.1016/S1672-6529(16)60432-8

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Analysis of Bone Remodeling Under Piezoelectricity Effects Using Boundary Elements

Miguel Cerrolaza1,2, Vannessa Duarte1,3, Diego Garzón-Alvarado4   

  1. 1. National Institute of Bioengineering, Central University of Venezuela, Caracas, Venezuela
    2. International Center for Numerical Methods in Engineering (CIMNE), Polytechnic University of Catalonia, Barcelona, Spain
    3. Virtual Rooms Program (CIMNE), Polytechnic University of Catalonia, Barcelona, Spain
    4. Laboratory of Biomimetics, Group of Mechanobiology of Organs and Tissues, Biotechnology Institute, Department of Mechanical Engineering and Mechatronics, National University of Colombia, Bogotá, Colombia
  • 收稿日期:2016-05-18 修回日期:2017-08-18 出版日期:2017-10-10 发布日期:2017-10-10
  • 通讯作者: Vannessa Duarte E-mail:vjduarte@gmail.com
  • 作者简介:Miguel Cerrolaza1,2, Vannessa Duarte1,3, Diego Garzón-Alvarado4

Analysis of Bone Remodeling Under Piezoelectricity Effects Using Boundary Elements

Miguel Cerrolaza1,2, Vannessa Duarte1,3, Diego Garzón-Alvarado4   

  1. 1. National Institute of Bioengineering, Central University of Venezuela, Caracas, Venezuela
    2. International Center for Numerical Methods in Engineering (CIMNE), Polytechnic University of Catalonia, Barcelona, Spain
    3. Virtual Rooms Program (CIMNE), Polytechnic University of Catalonia, Barcelona, Spain
    4. Laboratory of Biomimetics, Group of Mechanobiology of Organs and Tissues, Biotechnology Institute, Department of Mechanical Engineering and Mechatronics, National University of Colombia, Bogotá, Colombia
  • Received:2016-05-18 Revised:2017-08-18 Online:2017-10-10 Published:2017-10-10
  • Contact: Vannessa Duarte E-mail:vjduarte@gmail.com
  • About author:Miguel Cerrolaza1,2, Vannessa Duarte1,3, Diego Garzón-Alvarado4

摘要: Piezoelectric materials exhibit a response to mechanical-electrical coupling, which represents an important contribution to the electrical-mechanical interaction in bone remodeling process. Therefore, the study of the piezoelectric effect on bone re-modeling has high interest in applied biomechanics. The effects of mechano-regulation and electrical stimulation on bone healing are explained. The Boundary Element Method (BEM) is used to simulate piezoelectric effects on bones when shearing forces are applied to collagen fibers to make them slip past each other. The piezoelectric fundamental solutions are obtained by using the Radon transform. The Dual Reciprocity Method (DRM) is used to simulate the particular solutions in time-dependent problems. BEM analysis showed the strong influence of electrical stimulation on bone remodeling. The examples discussed in this work showed that, as expected, the electrically loaded bone surfaces improved the bone deposition. BEM results confirmed previous findings obtained by using the Finite Element Method (FEM). This work opens very promising doors in biomechanics research, showing that mechanical loads can be replaced, in part, by electrical charges that stimulate strengthening bone density. The obtained results herein are in good agreement with those found in literature from experimental testing and/or other simu-lation approaches.

关键词: numerical methods, boundary element, bone remodeling, piezoelectricity, anisotropy

Abstract: Piezoelectric materials exhibit a response to mechanical-electrical coupling, which represents an important contribution to the electrical-mechanical interaction in bone remodeling process. Therefore, the study of the piezoelectric effect on bone re-modeling has high interest in applied biomechanics. The effects of mechano-regulation and electrical stimulation on bone healing are explained. The Boundary Element Method (BEM) is used to simulate piezoelectric effects on bones when shearing forces are applied to collagen fibers to make them slip past each other. The piezoelectric fundamental solutions are obtained by using the Radon transform. The Dual Reciprocity Method (DRM) is used to simulate the particular solutions in time-dependent problems. BEM analysis showed the strong influence of electrical stimulation on bone remodeling. The examples discussed in this work showed that, as expected, the electrically loaded bone surfaces improved the bone deposition. BEM results confirmed previous findings obtained by using the Finite Element Method (FEM). This work opens very promising doors in biomechanics research, showing that mechanical loads can be replaced, in part, by electrical charges that stimulate strengthening bone density. The obtained results herein are in good agreement with those found in literature from experimental testing and/or other simu-lation approaches.

Key words: numerical methods, boundary element, bone remodeling, piezoelectricity, anisotropy