Finite element analysis of single cells embedded in an extracellular matrix have been used widely to provide new insights into the cellular loading in cartilage  and meniscus . Deformations derived from a homogeneous tissue model are generally used to drive simulations using microstructural representations. Implicit in this setup is the assumption of the equivalence of macrostructural (tissue) constitutive response and average stress-strain response of the microstructural (cellular) model. Higher cell densities within tissue volume  may increase the uncertainty introduced by this assumption and may also influence how macroscopic loads are transferred to the cells. We have previously shown, albeit with a two-dimensional simulation, the potential mismatches in such variables for increasing strain level and cell density, specifically for no cell, one, and three cell representations . Hence, the objective of this study was to quantify the differences between the overall response and cellular deformation in three-dimensional nonlinearly elastic microstructural cartilage models embedded with either one or three cells. Multiscale coupling approaches targeting prediction of cell deformations from tissue and/or organ level loading will likely benefit from this investigation while balancing computational demand with accuracy requirements.
- Bioengineering Division
Three Dimensional Cellular Loading and Average Microstructural Tissue Response Using Single and Three Cell Models
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Halloran, J, Sibole, S, & Erdemir, A. "Three Dimensional Cellular Loading and Average Microstructural Tissue Response Using Single and Three Cell Models." Proceedings of the ASME 2011 Summer Bioengineering Conference. ASME 2011 Summer Bioengineering Conference, Parts A and B. Farmington, Pennsylvania, USA. June 22–25, 2011. pp. 1253-1254. ASME. https://doi.org/10.1115/SBC2011-53663
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