Acini Structures deform for a variety of reasons. The primary focus of this paper is to generate a model to help understand how the weakening of the Nucleoskeletal-Cytoskeletal (N-C) connections in one or more cells impacts the overall structural stability. These changes happen during Epithelial-Mesenchymal Transition (EMT) and the disruption of the Linker of Nucleoskeleton to Cytoskeleton Complex (LINC). The simulations show that structures with cells that have weakened nucleoskeletal-cytoskeletal attachments (WNCA cells) have significant changes in structural circularity, cellular circularity, and the number of cell-cell adhesions that, when taken together, indicate a decrease in structural stability. These visual changes could then be used as markers of N-C damage and disease progression.