Abstract
Mechanical loading, such as fluid shear stress (FSS), is regarded as the main factor that regulates the biological responses of bone cells. Our previous studies have demonstrated that the RAW264.7 osteoclast precursors migrate toward the low-FSS region under the gradient FSS field by a cone-and-plate flow chamber, in which the FSS in the outer region is larger than that in the inner region along the radial direction. Whether the FSS distribution on a cell depends on the gradient direction of FSS field should be clarified to explain this experimental observation. In this study, the finite element models of the discretely distributed or closely packed cells adherent on the bottom plate in a cone-and-plate flow chamber were constructed, and cells were regarded as compressible isotropic Hookean solid. Results showed that the average FSS of each discretely distributed cell at the quarter sector far from the center (SFC) was about 0.1% greater than that at the quarter sector near the center (SNC). In the bands with different orientations for a cell, the relative difference between the average FSS in the SFC and the SNC becomes smaller with increased band height. For the hexagonal closely packed cells, the relative value of SFC and SNC increases with increasing cell spacing. The difference between the local wall FSS in the SFC and the SNC may activate mechanosensitive ion channels and further regulate the migration of osteoclast precursors toward the low-FSS region under the gradient FSS field.
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This work was supported by the National Natural Science Foundation of China [12072034 and 11572043 (BH)].
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BH, YG and XZ designed the research. XZ, YG, QS, CYY and TYL performed the numerical simulation. XZ, YG and BH draft the manuscript.
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Supplementary file1 (DOCX 1199 kb)—Figure S1. Average FSS in the SFC and the SNC on discretely distributed cells along the radial direction when the secondary flow is not considered. (A–C) Average FSS in the SFC and the SNC in a cell when 1, 3, or 5 cells are placed on the plate along the radial direction. (D) Relative average FSS between the SFC and the SNC. Figure S2. Average FSS within the bands with different orientations in the SFC and the SNC on discretely distributed cells when the secondary flow is not considered. (A–I) Average FSS within the bands with different orientations in the SFC and the SNC in a cell when 1, 3, or 5 cells are placed on the plate along the radial direction. (J) Relative average FSS within the bands between the SFC and the SNC. Figure S3. Average FSS in the SFC and the SNC on hexagonal closely packed cells when the secondary flow is not considered. (A–C) Average FSS in the SFC and the SNC in 1, 3, and 5 cell groups. (D) Relative average FSS between the SFC and the SNC. Figure S4. Average FSS within bands with different orientations in the SFC and the SNC on hexagonal closely packed cells when the secondary flow is not considered. (A-I) Average FSS within the bands with different orientations in the SFC and the SNC in 1, 3, and 5 cell groups. (J) Relative average FSS within bands between the SFC and the SNC.
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Zhang, X., Sun, Q., Ye, C. et al. Finite element analysis on mechanical state on the osteoclasts under gradient fluid shear stress. Biomech Model Mechanobiol 21, 1067–1078 (2022). https://doi.org/10.1007/s10237-022-01574-5
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DOI: https://doi.org/10.1007/s10237-022-01574-5