In this work, I first started with a simple force balance condition for mammalian cell, which is in a similar form to the well-known Young-Laplace Equation. This force balance equation couples cell shapes with membrane tension, hydrostatic pressure difference and cortical mechanics. Using mathematical model to describe active control of cortical contraction and osmotic regulation, I discovered cells can actively adjust to sudden change in its environment by maintaining a homeostatic size and ;;membrane-tension state”. Through collaborations with experimentalists, I further showed that the cell size homeostasis play an important role in cell cycle progression.
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Studying cell size homeostasis from a continuum mechanics approach