Computer simulations of mitosis and interdependencies between mitosis orientation, cell shape and epithelia reshaping

Finite element-based computer simulations are used to investigate mitosis and how mitosis, cell shape, and epithelium reshaping depend on each other. Frame- and cell-oriented patterns of mitosis with growing and non-growing daughter cells are considered. Previous simulations have shown that applied stresses or strains can reshape cells so that their long axes are aligned in the principal stretch direction. The simulations reported here show that this can produce global alignment of the mitosis cleavage planes. Other simulations reported here show that mitoses with suitably aligned cleavage planes can drive epithelium reshaping. Formulas that quantify these and other dependencies are derived. These formulas provide quantitative relationships against which current hypotheses regarding epithelia reshaping in real biological systems can be evaluated.