The protein translation machinery is expressed for maximal efficiency in Escherichia coli
AbstractProtein synthesis is the most expensive process in fast-growing bacteria1,2. The economic aspects of protein synthesis at the cellular level have been investigated by estimating ribosome activity3–5 and the expression of ribosomes3,6, tRNA7–9, mRNA2, and elongation factors10,11. The observed growth-rate dependencies form the basis of powerful phenomenological bacterial growth laws5,12–16; however, a quantitative theory allowing us to understand these phenomena on the basis of fundamental biophysical and biochemical principles is currently lacking. Here, we show that the observed growth-rate dependence of the concentrations of ribosomes, tRNAs, mRNA, and elongation factors in Escherichia coli can be predicted accurately by minimizing cellular costs in a detailed mathematical model of protein translation; the mechanistic model is only constrained by the physicochemical properties of the molecules and requires no parameter fitting. We approximate the costs of molecule species through their masses, justified by the observation that cellular dry mass per volume is roughly constant across growth rates17 and hence represents a limited resource. Our results also account quantitatively for observed RNA/protein ratios and ribosome activities in E. coli across diverse growth conditions, including antibiotic stresses. Our prediction of active and free ribosome abundance facilitates an estimate of the deactivated ribosome reserve14,18,19, which reaches almost 50% at the lowest growth rates. We conclude that the growth rate dependent composition of E coli’s protein synthesis machinery is a consequence of natural selection for minimal total cost under physicochemical constraints, a paradigm that might generally be applied to the analysis of resource allocation in complex biological systems.