Bacterial growth is crucially dependent on protein synthesis and thus on the cellular abundance of ribosomes and related proteins. Here, we show that the slow diffusion of the bulky tRNA complexes in the crowded cytoplasm imposes a physical limit on the speed of translation, which ultimately limits the rate of cell growth. To study the required allocation of ancillary translational proteins to alleviate the effect of molecular crowding, we develop a model for cell growth based on a coarse-grained partitioning of the proteome. We find that coregulation of ribosome-and tRNA-affiliated proteins is consistent with measured growth-rate dependencies and results in near-optimal allocation over a broad range of growth rates. The analysis further resolves a long-standing controversy in bacterial growth physiology concerning the growth-rate dependence of translation speed and serves as a caution against premature identification of phenomenological parameters with mechanistic processes.
Bacterial cell growth and protein synthesis are tightly coupled as proteins account for a large fraction of the cellular biomass (1). In the model organism Escherichia coli, over half of the biomass is protein (2), and protein synthesis accounts for more than two-thirds of the cell's ATP budget during rapid growth (3). Therefore, the machinery of protein synthesis, i.e., ribosomes, tRNAs, and ribosome-affiliated factors, plays a central role in maintaining exponential growth (1, 4). This is manifested by an increased ribosome content in rapidly growing cells (2,5,6), by direct observations that protein synthesis is limited by the availability of free ribosomes (7), and by considerations that link evolutionary selective pressure to the cost of protein synthesis (8).The most striking evidence for the central role of ribosomes in cell growth is provided by the linear relation between the ribosome mass fraction and the growth rate for bacteria grown in media containing different nutrients. This linear relation, which emerged from the systematic characterization of bacterial cells growing at different rates (5, 9), is illustrated in Fig. 1A with data for E. coli (2, 10, 11). It can be interpreted as reflecting the intrinsically autocatalytic activity of ribosomes synthesizing ribosomal proteins (9, 12) and identifies the fraction of ribosomes allocated to making ribosomal proteins as a key determinant of the growth rate (11). The picture that emerges from such considerations has formed the basis of a systematic theory of bacterial growth, based on empirical "growth laws", similar to the phenomenological laws of physics (11,13). The theory provides a successful framework for the analysis of the interdependence of cell growth and gene expression, of the effects of antibiotics, and of protein overexpression (11) without the need to characterize how the individual steps of synthesis and degradation are affected by the global state of the cell (14).In addition to their high ribosome content, rapidly growing bacteria also contain large amounts of othe...