Conditions for Cell Size Homeostasis: A Stochastic Hybrid System Approach

How isogenic cell populations maintain size homeostasis, i.e., a narrow distribution of cell size, is an intriguing fundamental problem. We model cell size using a stochastic hybrid system, where a cell grows exponentially in size (volume) over time and probabilistic division events are triggered at discretetime intervals. Moreover, whenever division occurs, size is randomly partitioned among daughter cells. We first consider a scenario where a...