JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (01): 85-89.doi: 10.6040/j.issn.1671-9352.0.2014.295

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Simulating the solute diffusion in articular cartilage under compression loading

JIANG Jun1,2, YANG Xiu-ping1,2, LIU Qing2, ZHANG Chun-qiu2   

  1. 1. Tianjin Key Laboratory of the Design and Intelligent Control of the Advanced Mechatronical Systems, Tianjin 300384, China;
    2. School of Mechanical Engineering, Tianjin University of Technology, Tianjin 300384, China
  • Received:2014-06-26 Revised:2014-11-13 Online:2015-01-20 Published:2015-01-24

Abstract: In order to study the process and law of solute diffusion in articular cartilage under compression loading, triphasic constitutive relation was converted into a biphasic equation and the finite element method of heat transfer was applied to simulate the solute diffusion under compression loading. The effects of dynamic compression amplitude and frequency on solute diffusion were analyzed. Solute concentration distribution and curves with time and locations in cartilage were obtained. The results show that solute diffusion is easier under static compression than that of dynamic compression with the same compression amplitude. Dynamic compression amplitude increase restrains solute diffusion; frequency increase is good for solute diffusion at the different layers inside the cartilage.

Key words: diffusion, compression loading, articular cartilage, solute, finite element method

CLC Number: 

  • R318.01
[1] 邱郡,张文光,吴刚.关节软骨的仿生设计[J].生物医学工程学,2008,25(1):181-185. QIU Jun, ZHANG Wenguang, WU Gang. Bionic design of articular cartilage[J].Biomedical Engineering, 2008, 25(1):181-185.
[2] YOUSEF Shafieyan, NILOUFAR Khosravi, MOHAMMAD Moeini, et al.Diffusion of MRI and CT contrast agents in articular cartilage under static compression[J].Biophysical Journal, 2014, 107(2):485-492.
[3] 董江峰,于杰,陈维毅.力学刺激对关节软骨基质代谢的影响[J].国际骨科学杂志,2006,27(6):328-331. DONG Jiangfeng, YU Jie, CHEN Weiyi. The effect of metabolism in articular cartilage under mechanical loading[J].International Journal of Orthopedics, 2006, 27(6):328-331.
[4] GU W Y, LAI W M, MOW V C. A mixture theory for charged-hydrated soft tissues containing multi-electrolytes:passive transport and swelling behaviours[J]. Journal of Biomechanics Engineering, 1998, 120(2):169-180.
[5] LAI W M, HOU J S, MOW V C. A triphasic theory for the swelling and deformation behaviours of articular cartilage[J]. Journal of Biomechanics Engineering, 1991, 113(3):245-258.
[6] HAI Yao, WEI Yong Gu.Physical signals and solute transport in cartilage under dynamic unconfined compression:finite element analysis[J].Annals of Biomedical Engineering, 2004, 32(3):380-390.
[7] ROBIN C Evans,THOMAS M Quinn.Dynamic compression augments interstitial transport of a glucose-like solute in articular cartilage[J].Biophysical Journal, 2006, 91(4):1541-1547.
[8] 邓元望,袁茂强,刘长青.传热学[M].北京:水利水电出版社,2010.
[9] SIMON B R, LIABLE J P, PFLASTER D, et al.A poroelastic finite element formulation including transport and swelling in soft tissue structures[J].Journal of Biomechanics Engineering, 1996, 118(1):1-9.
[10] YUAN Chen, XIAN Chen, TOSHIAKI Hisada.Triphasic finite element simulation of articular cartilage swelling and curling behaviors[J].Computational Mechanics Wccm Vi In Conjunction With Apcom, 2004, 9:5-10.
[11] MOW V C, KUEI S C, LAI W M, et al. Biphasic creep and stress relaxation of articular cartilage in compression:theory and experiments[J].Journal of Biomechanics Engineering, 1980, 102(1):73-84.
[12] CHRISTOPHEr Lovell Smith.Some aspects of the biomechanics of articular cartilage repair[D].Cleveland:Department of Mechanical and Aerospace Engineering, Case Western Reserve University, 2001:107-110.
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