Mechanical forces not only deform cells, but also alter their functions due to
biological responses. While current biomanufacturing processes are capable of
producing tissue scaffolds with cells encapsulated, it is essential to understand cell
responses to process-induced mechanical disturbances. In this study the
stresses and deformations of encapsulated cells under compressive loads are
quantified via a multilevel nonlinear finite element approach. The macrolevel
model is used to mechanically characterize the alginate-cell construct. At the
microlevel, the effects of alginate concentration, cell model, and the microlevel
geometric heterogeneity on cell deformation are examined. Cells are modeled as
single phase inclusions containing only a nucleus phase; then as a two-phase
inclusion comprised of a nucleus phase and cytoplasm phase. This study also
analyzes the effects of two geometrical parameters—namely, cell size and cell
distribution—on the local stress levels of the cell. Subsequent statistical
analyses provide insight into the degree of influence of these factors. The
study shows that cells embedded in a higher alginate concentration, 3% w/v,
experience higher stress levels as compared to cells embedded in a lower alginate
concentration, 1.5% w/v. Furthermore, analysis of the geometric heterogeneity
indicates that there is a much higher stress concentration in areas where
cells are clustered together as compared to areas where cells are relatively
isolated.