Before revision:  We presented a mathematical explanation of phenotypic heterogeneity, stochastic phenotype switching , and bet-hedging within isogenic bacterial populations, and thus provided a theoretical framework for the analysis of experiment dataat the cellular or molecular level .
After revision:  We presented a mathematical explanation of phenotypic heterogeneity, stochastic phenotype switching , and bet-hedging within isogenic bacterial populations, but also provides a deeper insight into the analysis of experiment dataat the cellular or molecular level .