Before revision:  in other words the scale invariance holds as it is. We also study a model considering intracellular replication and cell volume growth and successfully reproduce our experimental results. Furthermore, we give a theoretical expression for the time-dependent cell size distribution and  propose a sufficient condition for the scale invariance.
After revision:  in other words the scale invariance holds . This finding is underpinned by simulations of a model based on cell growth and propose a sufficient condition for the scale invariance.