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Dynamic Analysis of a Spread Cell Using Finite Element Method

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Abstract

The dynamic analysis of a cultured cell using Finite Element Analysis is presented to understand the effect of vibration on a cell structure. The model of a spread cell on a culturing plate has been developed as a continuum model and a cellular tensegrity model. Using Finite Element modal analysis, natural frequencies and mode shapes of both models were obtained and compared with each other. Finite Element harmonic response analysis was carried out to investigate the dynamic response of a spread cell exposed to vibration in the frequency range of 1–60 Hz with 1 G acceleration. Both continuum model and tensegrity model showed that the first three natural frequencies appeared in range of 18 ~ 27 Hz and they were in the effective vibration frequency range for bone cell growth. In mode 1–3 the major oscillation was observed in horizontal direction and the resonance occurred when the base vibration frequency was closed to the calculated natural frequency. It is presumed that the optimal frequency for bone cell growth is closely related the natural frequency of cell structures and associated with the resonance of cellular structures. For better understanding resonance of cell structure future studies will consider the damping capability of cell structures.

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References

  1. Brown TD (2000) Techniques for mechanical stimulation of cells in vitro: a review. J Biomech 33(1):3–14

    Article  Google Scholar 

  2. Hasegawa S, Sato S, Saito S, Suzuki Y, Brunette D (1985) Mechanical stretching increases the number of cultured bone cells synthesizing DNA and alters their pattern of protein synthesis. Calcif Tissue Int 37(4):431–436

    Article  Google Scholar 

  3. Rosenberg N, Levy M, Francis M (2002) Experimental model for stimulation of cultured human osteoblast-like cells by high frequency vibration. Cytotechnology 39(3):125–130

    Article  Google Scholar 

  4. Shikata T, Shiraishi T, Morishita S, Takeuchi R, Saito T (2008) Effects of amplitude and frequency of mechanical vibration stimulation on cultured osteoblasts. J Syst Des Dyn 2(1):382–388

    Google Scholar 

  5. Tanaka SM (1999) A new mechanical stimulator for cultured bone cells using piezoelectric actuator. J Biomech 32(4):427–430

    Article  Google Scholar 

  6. McGarry J, Prendergast P (2004) A three-dimensional finite element model of an adherent eukaryotic cell. Eur Cell Mater 7:27–33

    Google Scholar 

  7. McGarry JG, Klein-Nulend J, Mullender MG, Prendergast PJ (2005) A comparison of strain and fluid shear stress in stimulating bone cell responses—a computational and experimental study. FASEB J 19(3):482–484

    Google Scholar 

  8. Abolfathi N, Karami G, Ziejewski M (2008) Biomechanical cell modelling under impact loading. Int J Model Simul 28(4):470–476

    Google Scholar 

  9. Charras GT, Horton MA (2002) Determination of cellular strains by combined atomic force microscopy and finite element modeling. Biophys J 83(2):858–879

    Article  Google Scholar 

  10. Wee H, Voloshin A (2012) Modal analysis of a spreading osteoblast cell in culturing.In: Bioengineering conference (NEBEC), pp 1–2

    Google Scholar 

  11. Coughlin MF, Stamenovic D (1998) A tensegrity model of the cytoskeleton in spread and round cells. ASME J Biomech Eng 120:770–777

    Article  Google Scholar 

  12. Single cell mechanobiology. http://www.nanofunction.org/single-cell-mechanobiology. Accessed 21 Jan 2012

  13. Charras GT, Horton MA (2002) Single cell mechanotransduction and its modulation analyzed by atomic force microscope indentation. Biophys J 82(6):2970–2981

    Article  Google Scholar 

  14. Chauhan AK, Varma AA (2009) Textbook of molecular biotechnology

    Google Scholar 

  15. Freitas RA (1999) Nanomedicine, vol I, Basic capabilities. Landes Bioscience Georgetown, Austin

    Google Scholar 

  16. ANSYS Element Reference, ANSYS Inc (2009)

    Google Scholar 

  17. ANSYS Theory Reference for the Mechanical APDL and Mechanical Applications, ANSYS Inc (2009)

    Google Scholar 

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Correspondence to Arkady Voloshin .

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© 2014 The Society for Experimental Mechanics, Inc.

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Wee, H., Voloshin, A. (2014). Dynamic Analysis of a Spread Cell Using Finite Element Method. In: Barthelat, F., Zavattieri, P., Korach, C., Prorok, B., Grande-Allen, K. (eds) Mechanics of Biological Systems and Materials, Volume 4. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-00777-9_19

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  • DOI: https://doi.org/10.1007/978-3-319-00777-9_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-00776-2

  • Online ISBN: 978-3-319-00777-9

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