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of the growth medium in the absence of the antibiotic (Fig. 3A).The tRNA-affiliated fraction ϕT also increases, being forced todo so by the assumption of coregulation (Fig. 3C). We note thatin the four-component model, translation limitation can also beobtained by increasing the Michaelis constant of translation φM,which leads to the same growth-rate dependence as changing themaximal translation speed γmax.Coregulation of Ribosomal and tRNA-Affiliated Proteins Correspondsto Near-Optimal Allocation of Protein Synthesis Resources. So far, wehave assumed that the factor α, the ratio between the tRNAaffiliatedand ribosomal proteome fractions, is constant and independentof the growth rate. Based on an optimization schemeoriginally proposed by Ehrenberg and Kurland (22), we havevaried α and adjusted it such that the growth rate is maximizedfor any given growth conditions, i.e., for fixed medium parameters(ν, γmax, φM). The optimal α is dependent on the growth rateand a systematic decrease of the ratio of T-proteins to ribosomeswith the growth rate is obtained (Fig. 4). Although the data forEF-Tu per ribosome (symbols in Fig. 4C) show a slight decreasewith increasing growth rate, the optimal α is smaller than theobserved values. However, for all realistic values of the growthrate (up to three doublings per hour), a constant α = 0.6 as usedabove leads to a growth rate within 10%of the maximum obtainedby optimizing α, and the experimental ratio of EF-Tu per ribosome,which decreases slightly at fast growth, even remains inthe ±5% region (gray symbols in Fig. 4C). As a result, we concludethat coregulation (or approximate coregulation) of ribosomaland T-proteins is a near-optimal strategy for the cell, whichmay be “good enough” to achieve fast growth. As the additionalcomplexity of regulating the two proteome sectors separately toachieve full optimization may incur additional fitness costs,coregulation (with possibly some adjustment to lower the ratioϕT/ϕR at fast growth) may even be the most robust strategy forthe cell to adopt.
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