A multi-layered poroelastic slab model under cyclic loading for a single osteon

Chen, Yaogeng; Wang, Wenshuai; Ding, Shenghu; Wang, Xu; Chen, Qun

doi:10.1186/s12938-018-0528-y

Cited by 12 publications

(20 citation statements)

References 18 publications

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“…8). The FV was found to fluctuate at bone lamellae and cement line that was different from the findings of [10, 26]. In reality, the micropore of bone tissue may pass through the cement line [30], so the cement line may be permeable.…”

Section: Discussionmentioning

confidence: 87%

“…The surface of periosteum and bone marrow were set to the same value as the macroscopic model. The FP of Haversian canal was always ignored in previous study [10, 14, 27]; however, the span of both k vp and k lcp was very large [28], and when the gap of permeability value between k vp and k lcp was not that big, the FP of Haversian canal couldn’t be ignored. In macro–mesoscopic model, the FP of Haversian canal was derived from the calculation results of the corresponding locations of macroscale model.…”

Section: Methodsmentioning

confidence: 99%

“…As same as Chen et al, we assumed the osteon lamellae were all perfectly bonded, and each lamella had different permeability [10]. k lcp 1 represents the lacunar–canalicular permeability of lamellae 1 (Fig.…”

Section: Methodsmentioning

confidence: 99%

“…Multiscale model of bone can alternative material parameter of any hierarchical level to determine its effect on bone properties, such as porosity, elastic modulus [3], and permeability [10]. A scaffold composed of materials with multiscale porosity can be used to direct bone regeneration and morphology by controlling the hierarchical structure of the scaffold [11].…”

Section: Introductionmentioning

confidence: 99%

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Study on the biomechanical responses of the loaded bone in macroscale and mesoscale by multiscale poroelastic FE analysis

Cen

et al. 2019

BioMed Eng OnLine

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BackgroundBone is a hierarchically structured composite material, and different hierarchical levels exhibit diverse material properties and functions. The stress and strain distribution and fluid flow in bone play an important role in the realization of mechanotransduction and bone remodeling.MethodsTo investigate the mechanotransduction and fluid behaviors in loaded bone, a multiscale method was developed. Based on poroelastic theory, we established the theoretical and FE model of a segment bone to provide basis for researching more complex bone model. The COMSOL Multiphysics software was used to establish different scales of bone models, and the properties of mechanical and fluid behaviors in each scale were investigated.ResultsFE results correlated very well with analytical in macroscopic scale, and the results for the mesoscopic models were about less than 2% different compared to that in the macro–mesoscale models, verifying the correctness of the modeling. In macro–mesoscale, results demonstrated that variations in fluid pressure (FP), fluid velocity (FV), von Mises stress (VMS), and maximum principal strain (MPS) in the position of endosteum, periosteum, osteon, and interstitial bone and these variations can be considerable (up to 10, 8, 4 and 3.5 times difference in maximum FP, FV, VMS, and MPS between the highest and the lowest regions, respectively). With the changing of Young’s modulus (E) in each osteon lamella, the strain and stress concentration occurred in different positions and given rise to microscale spatial variations in the fluid pressure field. The heterogeneous distribution of lacunar–canalicular permeability (klcp) in each osteon lamella had various influence on the FP and FV, but had little effect on VMS and MPS.ConclusionBased on the idealized model presented in this article, the presence of endosteum and periosteum has an important influence on the fluid flow in bone. With the hypothetical parameter values in osteon lamellae, the bone material parameters have effect on the propagation of stress and fluid flow in bone. The model can also incorporate alternative material parameters obtained from different individuals. The suggested method is expected to provide dependable biological information for better understanding the bone mechanotransduction and signal transduction.

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Section: Discussionmentioning

confidence: 87%

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Study on the biomechanical responses of the loaded bone in macroscale and mesoscale by multiscale poroelastic FE analysis

Cen

et al. 2019

BioMed Eng OnLine

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“…PG refers to the change of pressure per unit length along the direction of fluid flow. This important parameter is often not discussed in previous studies [4,6,19,20].…”

Section: Discussionmentioning

confidence: 96%

Effects of changes of osteocyte shape on fluid flow and fluid shear stress of loaded bone

Huo

et al. 2021

Preprint

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Background: Load-induced pressure gradients (PG) result in interstitial fluid flow in bone tissue, which is not only provides sufficient nutrient supply and metabolic pathway for the bone cells, but also enables bone cells to accept external mechanical signals. Methods: We calculate the number and distribution of bone canaliculus around the osteocyte based on the varying shape of osteocyte, and then use these calculated parameters and other microstructure data of bone tissue to estimate the anisotropy permeability of the lacunar–canalicular. Finally, according to the calculated parameters, the poroelastic finite element models of the osteon are established, and the influence of the osteocyte shape on the fluid flow properties of osteon under the axial displacement load is analyzed. Two kinds of boundary conditions are considered on the cement line of osteon, elastic restrained (BC1) and displacement confined (BC2). Results: In the range of parameters we studied, the changes of osteocyte shape (Case1-Case6) make the maximum value of PG, pore pressure (PP), fluid velocity (FV) and fluid shear stress (FSS) 33.36%, 67.67%, 8.6% and 26.6% larger than the Reference model in BC1, respectively. And the maximum value of PG, PP, FV and FSS are 65.39%, 67.67%, 8.4% and 29% larger than reference model in BC2. The maximum PG, PP, FV and FSS in BC2 are 96.72%, 95.51%, 97.87% and 97.13% larger than that in BC1, respectively. The permeability of elongated osteocyte model (Case 3, Case 4 and Case 6) have a difference of one magnitude order in X and Y direction. Conclusion: The changes of osteocyte shape has a significant impact on the degrees of anisotropy for fluid flow and porous media of osteon. This model can facilitate better accurately quantifying the fluid flow in lacuna-canalicular system.

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Closing the osteon: Do osteocytes sense strain rate rather than fluid flow?

Smit

2021

BioEssays

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Osteons are cylindrical structures of bone created by matrix resorbing osteoclasts, followed by osteoblasts that deposit new bone. Osteons align with the principal loading direction and it is thought that the osteoclasts are directed by osteocytes, the mechanosensitive cells that reside inside the bone matrix. These osteocytes are presumably controlled by interstitial fluid flow, induced by the physiological loading of bones. Here I consider the stimulation of osteocytes while the osteon is closed by osteoblasts. In a conceptual finite element model, bone is considered a poro-elastic material and subjected to locomotion-induced loading conditions. It appears that the magnitude of flow is constant along the closing cone, while shear strain rate in the bone matrix diminishes linearly with the deposition of bone. This suggests that shear strain rate, rather than fluid flow, is the physical cue that controls osteocytes and bone deposition in newly formed osteons.

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A multi-layered poroelastic slab model under cyclic loading for a single osteon

Cited by 12 publications

References 18 publications

Study on the biomechanical responses of the loaded bone in macroscale and mesoscale by multiscale poroelastic FE analysis

Study on the biomechanical responses of the loaded bone in macroscale and mesoscale by multiscale poroelastic FE analysis

Effects of changes of osteocyte shape on fluid flow and fluid shear stress of loaded bone

Closing the osteon: Do osteocytes sense strain rate rather than fluid flow?

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