I am a student of physics of mathematics with very little knowledge of biology. Nevertheless, I am very keen on biophysics and I'm trying to learn the biological concepts that I need on the way.
I'm preparing now my bachelor thesis (regarding the physics of cell division) and my advisor has recommended me a paper of his where he studies some forces that are relevant in this process.
Under his analysis the constriction of the cell is independent of the area of the cell (the cells constrict on a similar fashion no matter which size they have, the only important parameter is the shape) and he considers several different scenarios. Two of those seemed plausible biologically speaking to me but I don't know if they happen or not in real life. They are to consider the surface of the cell constant during the process or to consider the volume to be constant (during the constriction of the cellular vesicle prior to the division in two new daughter cells).
Are any of these assumptions realistic? Does the area or the volume of the cell undertaking mitosis change drastically during the constriction of the cellular vesicle?