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A mathematical analysis for the modelling of trabecular bone
Affiliation:1. Tribology Research Institute, School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031, China;2. Department of Engineering Mechanics, Dalian University of Technology, No. 2 Linggong Road, 116024, Dalian, China;3. Affiliated Zhongshan Hospital of Dalian University, Dalian, Liaoning, China;4. Leeds Joint School, Southwest Jiaotong University, Chengdu 610031, China;5. School of Mechanical Engineering, University of Leeds, Leeds LS2 9JT, UK;1. Group of Solid Mechanics and Structural Impact, Department of Mechatronics and Mechanical Systems Engineering, University of Sao Paulo, Sao Paulo 05508900, Brazil;2. Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev St., Block 4, Sofia 1113, Bulgaria
Abstract:We present a mathematical analysis of trabecular bone which may be applied to develop dynamic computer simulations of the musculoskeletal system. We have derived an algorithm which can be used to study the genetic limitations within which skeletal articulations may function successfully. We believe that our model will help other workers to advance the understanding of the interplay between genetic and environmental influences in the growth, modelling and degeneration of osseous tissues.
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