Deciphering the relationship between cellular processes and the structure of living
cells is a key step toward understanding and predicting cell functions with direct
implications for understanding human health and disease. The active nature of these
cellular processes, which span several decades of spatial and temporal scales, pose
significant challenges to unraveling this complex structure-function paradigm.
Complementing novel experimental techniques with robust computational approaches
capable of modeling mechanical response at varying scales provides new avenues to
resolving this paradigm. We provide an overview of continuum-based computational
approaches used in studying and interpreting responses of individual cells and nuclei,
we outline techniques used for measuring the mechanical characteristics
of living cells, and we discuss some of the key insights provided by these
approaches.