Mathematical modelling of death rate changes as bacteria adapt during entry to stationary phase, see Methods for details. The key assumption is that changes in maintenance rate β are due to changes of the proteome. To understand adaption, we thus need to understand how much bacteria can remodel their proteome when nutrients run out (A - left). We combine our key assumption with the following quantitative laws: 1. Death rate is set by maintenance rate; 2. Proteome sectors depend linearly on growth rate (Hui et al., 2015), 3. adapt at the same time-scale during nutrient shifts (Erickson et al., 2017). Combined, these relations allow us to compute how death rate depends on the proteome adaptation (A - right). We use the Flux Controlled Regulation (FCR) model (Erickson et al), to calculate the relative adaptation $\frac{\left( \phi_{X} - \phi_{X,0} \right)}{\phi_{X}^{'}}$ in various scenarios. 