Random partitioning of cytoplasmic organelles at cell division: the effect of organelle and cell volume.

When a cell divides, some cytoplasmic organelles may be partitioned randomly between the daughters. The number of organelles in each daughter is usually calculated from the binomial distribution, which assumes that the organelles occupy zero volume. We developed equations to predict numerical partitioning taking the volume of the organelles and of the cell into account. The effect of large organelle volume is that daughter cells receive equal or nearly equal numbers of organelles more often than predicted by the binomial distribution. However, numerical solutions show that volume effects are very small unless the number of organelles is very small or they occupy more than about 50% of the available cell volume.