Effect of artery pulse on the osteonal interstitial fluid flow behavior_Journal of Biomedical Engineering

Authors：

WU Xiaogang , WANG Ningning , CEN Haipeng , WANG Zhaowei , YU Weilun , CHEN Kuijun , XUE Yanan , WANG Yanqin , GUO Yuan ,  CHEN Weiyi

Shanxi Key Lab. of Material Strength & Structural Impact, College of Mechanics, Taiyuan University of Technology, Taiyuan 030024, P.R.China;

Corresponding author：

CHEN Weiyi, Email: chenweiyi211@163.com

Keywords：

osteon; artery pulse; interstitial fluid flow; poroelasticity

DOI：

10.7507/1001-5515.201607046

Video：

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Abstract Full text Figures/Tables Video References Cited by

There are two main types of fluid in bone tissue: blood and interstitial fluid. The metabolism of cells mainly relies on the microenvironment of the interstitial fluid. Researches of osteonal fluid seepage behavior based on the microstructure of bone tissue have become a hot point. The aim of the present research work is to assess the effect of blood pressure oscillation on the osteonal interstitial fluid seepage behavior. We established finite element osteon models for a hollow and that considering blood pressure oscillation, respectively, with COMSOL Multiphysics software in order to compare their fluid flow behavior under the axial loading. The results predicted that the interstitial fluid pressure field was enlarged considering the blood pressure oscillation, while the velocity filed changed little. Specifically, the increase of blood pressure oscillatory amplitude could result in the increase of osteonal interstitial fluid pressure, while the blood pressure oscillatory frequency had limited effects on the osteonal pore fluid pressure. Moreover, the blood pressure oscillatory amplitude and frequency had no effect on the osteonal interstitial fluid velocity. The finite element model can be used for the study of the poroelastic behaviors of the osteon under non-axisymmetric loads and microcracks, and can also be a new way to study the mechanism of bone mechanotransduction and electromechanotransduction.

Citation： WU Xiaogang, WANG Ningning, CEN Haipeng, WANG Zhaowei, YU Weilun, CHEN Kuijun, XUE Yanan, WANG Yanqin, GUO Yuan, CHEN Weiyi. Effect of artery pulse on the osteonal interstitial fluid flow behavior. Journal of Biomedical Engineering, 2017, 34(5): 695-701. doi: 10.7507/1001-5515.201607046 Copy

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2.	Biot M A. General theory of three-dimensional consolidation. J Appl Phys, 1941, 12(2): 155-164.
3.	Zhang D J, Weinbaum S, Cowin S C. On the calculation of bone pore water pressure due to mechanical loading. Int J Solids Struct, 1998, 35(34/35): 4981-4997.
4.	Rémond A, Naili S. Transverse isotropic poroelastic osteon model under cyclic loading. Mech Res Commun, 2005, 32(6): 645-651.
5.	Wu Xiaogang, Chen Weiyi. A hollow osteon model for examining its poroelastic behaviors: Mathematically modeling an osteon with different boundary cases. European Journal of Mechanics A/Solids, 2013, 40: 34-49.
6.	Wu Xiaogang, Chen Weiyi, Gao Zhipeng, et al. The effects of Haversian fluid pressure and harmonic axial loading on the poroelastic behaviors of a single osteon. Science China Physics, Mechanics and Astronomy, 2012, 55(9): 1646-1656.
7.	Wu Xiaogang, Chen Weiyi. Poroelastic behaviors of the osteon: A comparison of two theoretical osteon models. Acta Mech Sinica, 2013, 29(4): 612-621.
8.	Cen Haipeng, Wu Xiaogang, Yu Weilun, et al. Effects of the microcrack shape, size and direction on the poroelastic behaviors of a single osteon: a finite element study. Acta of Bioengineering and Biomechanics, 2016, 18(1): 3-10.
9.	Wu Xiaogang, Wang Yanqin, Wu Xiaohong, et al. Effects of microcracks on the poroelastic behaviors of a single osteon. Science China Physics, Mechanics & Astronomy, 2014, 57(11): 2161-2167.
10.	Pfenniger A, Obrist D, Stahel A, et al. Energy harvesting through arterial wall deformation: design considerations for a magneto-hydrodynamic generator. Med Biol Eng Comput, 2013, 51(7): 741-755.
11.	Pfenniger A, Stahel A, Koch V M, et al. Energy harvesting through arterial wall deformation: A FEM approach to fluid-structure interactions and magneto-hydrodynamics. Appl Math Model, 2014, 38(13): 3325-3338.
12.	Wu Xiaogang, Chen Weiyi, Wang Danxia. Mathematical osteon model for examining poroelastic behaviors. Applied Mathematics and Mechanics-English Edition, 2013, 34(4): 405-416.
13.	Nguyen V H, Lemaire T, Naili S. Anisotropic poroelastic hollow cylinders with damaged periphery under harmonic axial loading: relevance to bone remodelling. Multidiscipline Modeling in Materials and Structures, 2009, 5(3): 205-222.
14.	Nguyen V H, Lemaire T, Naili S. Influence of interstitial bone microcracks on strain-induced fluid flow. Biomech Model Mechanobiol, 2011, 10(6): 963-972.
15.	Remond A, Naili S, Lemaire T. Interstitial fluid flow in the osteon with spatial gradients of mechanical properties: a finite element study. Biomech Model Mechanobiol, 2008, 7(6): 487-495.
16.	Mak A F T, Huang D T, Zhang J D, et al. Deformation-induced hierarchical flows and drag forces in bone canaliculi and matrix microporosity. J Biomech, 1997, 30(1): 11-18.
17.	You L, Cowin S C, Schaffler M B, et al. A model for strain amplification in the actin cytoskeleton of osteocytes due to fluid drag on pericellular matrix. J Biomech, 2001, 34(11): 1375-1386.
18.	Cowin S C, Cardoso L. Blood and interstitial flow in the hierarchical pore space architecture of bone tissue. J Biomech, 2015, 48(5, SI): 842-854.
19.	Nguyen V H, Lemaire T, Naili S. Poroelastic behaviour of cortical bone under harmonic axial loading: A finite element study at the osteonal scale. Med Eng Phys, 2010, 32(4): 384-390.
20.	Wu Xiaogang, Yu Weilun, Wang Zhaowei, et al. Effects of the Haversian fluid pressure on the canalicular fluid flow rates and shear stress. Basic & Clinical Pharmacology & Toxicology, 2015, 117(Suppl 3): 1.
21.	Wu Xiaogang, Yu Weilun, Cen Haipeng, et al. Hierarchical model for strain generalized streaming potential induced by the canalicular fluid flow of an osteon. Acta Mech Sinica, 2015, 31(1): 112-121.

1. Cowin S C. Bone poroelasticity. J Biomech, 1999, 32(3): 217-238.
2. Biot M A. General theory of three-dimensional consolidation. J Appl Phys, 1941, 12(2): 155-164.
3. Zhang D J, Weinbaum S, Cowin S C. On the calculation of bone pore water pressure due to mechanical loading. Int J Solids Struct, 1998, 35(34/35): 4981-4997.
4. Rémond A, Naili S. Transverse isotropic poroelastic osteon model under cyclic loading. Mech Res Commun, 2005, 32(6): 645-651.
5. Wu Xiaogang, Chen Weiyi. A hollow osteon model for examining its poroelastic behaviors: Mathematically modeling an osteon with different boundary cases. European Journal of Mechanics A/Solids, 2013, 40: 34-49.
6. Wu Xiaogang, Chen Weiyi, Gao Zhipeng, et al. The effects of Haversian fluid pressure and harmonic axial loading on the poroelastic behaviors of a single osteon. Science China Physics, Mechanics and Astronomy, 2012, 55(9): 1646-1656.
7. Wu Xiaogang, Chen Weiyi. Poroelastic behaviors of the osteon: A comparison of two theoretical osteon models. Acta Mech Sinica, 2013, 29(4): 612-621.
8. Cen Haipeng, Wu Xiaogang, Yu Weilun, et al. Effects of the microcrack shape, size and direction on the poroelastic behaviors of a single osteon: a finite element study. Acta of Bioengineering and Biomechanics, 2016, 18(1): 3-10.
9. Wu Xiaogang, Wang Yanqin, Wu Xiaohong, et al. Effects of microcracks on the poroelastic behaviors of a single osteon. Science China Physics, Mechanics & Astronomy, 2014, 57(11): 2161-2167.
10. Pfenniger A, Obrist D, Stahel A, et al. Energy harvesting through arterial wall deformation: design considerations for a magneto-hydrodynamic generator. Med Biol Eng Comput, 2013, 51(7): 741-755.
11. Pfenniger A, Stahel A, Koch V M, et al. Energy harvesting through arterial wall deformation: A FEM approach to fluid-structure interactions and magneto-hydrodynamics. Appl Math Model, 2014, 38(13): 3325-3338.
12. Wu Xiaogang, Chen Weiyi, Wang Danxia. Mathematical osteon model for examining poroelastic behaviors. Applied Mathematics and Mechanics-English Edition, 2013, 34(4): 405-416.
13. Nguyen V H, Lemaire T, Naili S. Anisotropic poroelastic hollow cylinders with damaged periphery under harmonic axial loading: relevance to bone remodelling. Multidiscipline Modeling in Materials and Structures, 2009, 5(3): 205-222.
14. Nguyen V H, Lemaire T, Naili S. Influence of interstitial bone microcracks on strain-induced fluid flow. Biomech Model Mechanobiol, 2011, 10(6): 963-972.
15. Remond A, Naili S, Lemaire T. Interstitial fluid flow in the osteon with spatial gradients of mechanical properties: a finite element study. Biomech Model Mechanobiol, 2008, 7(6): 487-495.
16. Mak A F T, Huang D T, Zhang J D, et al. Deformation-induced hierarchical flows and drag forces in bone canaliculi and matrix microporosity. J Biomech, 1997, 30(1): 11-18.
17. You L, Cowin S C, Schaffler M B, et al. A model for strain amplification in the actin cytoskeleton of osteocytes due to fluid drag on pericellular matrix. J Biomech, 2001, 34(11): 1375-1386.
18. Cowin S C, Cardoso L. Blood and interstitial flow in the hierarchical pore space architecture of bone tissue. J Biomech, 2015, 48(5, SI): 842-854.
19. Nguyen V H, Lemaire T, Naili S. Poroelastic behaviour of cortical bone under harmonic axial loading: A finite element study at the osteonal scale. Med Eng Phys, 2010, 32(4): 384-390.
20. Wu Xiaogang, Yu Weilun, Wang Zhaowei, et al. Effects of the Haversian fluid pressure on the canalicular fluid flow rates and shear stress. Basic & Clinical Pharmacology & Toxicology, 2015, 117(Suppl 3): 1.
21. Wu Xiaogang, Yu Weilun, Cen Haipeng, et al. Hierarchical model for strain generalized streaming potential induced by the canalicular fluid flow of an osteon. Acta Mech Sinica, 2015, 31(1): 112-121.

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