Before revision:  For increasing external noise level in stimulation, the efficiency decreased, but for external stimulation strength, the efficiency was highly robust . Using this approach, we succeeded to discuss the relationship between speed of adaptation and rate of thermodynamic cost change in E. coli adaptation. Our quantification could be applied to various biological systems.
After revision:  For increasing external noise level in stimulation, the efficiency decreased, but for external stimulation strength, the efficiency was highly robust to external stimulation strength. Our quantification method provides a framework to understand the adaptation speed and the thermodynamic cost for various biological systems.