Dynamics of tRNA occupancy and dissociation during translation by the ribosome

Dynamics of tRNA dissociation in early and later cycles of translation elongation by the ribosome

Deacylated tRNA dissociation from E site and aminoacyl-tRNA binding to the A site of the ribosome play a critical role in repetitive cycles of protein synthesis. Available experimental data showed that in the small range of aminoacyl-tRNA concentrations, during the first few cycles of translation elongation (initiation phase of translation) the E-site tRNA can be dissociated either before or after the A-site tRNA binding, while during the later cycles of elongation (elongation phase) the E-site tRNA is mostly dissociated before the A-site tRNA binding. Here, based on our proposed model of translation elongation we study analytically the dynamics of the E-site tRNA dissociation and A-site tRNA binding, providing quantitative explanations of the available experimental data in both the initiation and elongation phases. In our model there exist two routes of state transitions within an elongation cycle in the initiation phase, with each route having stochastic E-site tRNA dissociation but with different dissociation rates. Thus, the E-site tRNA dissociation is governed by a stochastic competition between the tRNA dissociation and A-site tRNA association reactions, although in the small range of aminoacyl-tRNA concentrations used in the experiments it seems that such stochastic competition does not exist. Moreover, the detailed comparisons between the dynamics of tRNA dissociation in the initiation phase and that in the elongation phase are made.

Dynamic relationships between ribosomal conformational and RNA positional changes during ribosomal translocation

Ribosomal translocation catalyzed by EF-G hydrolyzing GTP entails multiple conformational changes of ribosome and positional changes of tRNAs and mRNA in the ribosome. However, the detailed dynamic relations among these changes and EF-G sampling are not clear. Here, based on our proposed pathway of ribosomal translocation, we study theoretically the dynamic relations among these changes exhibited in the single molecule data and those exhibited in the ensemble kinetic data. It is shown that the timing of these changes in the single molecule data and that in the ensemble kinetic data show very different. The theoretical results are in agreement with both the available ensemble kinetic experimental data and the single molecule experimental data.

On the pathway of ribosomal translocation

The translocation of tRNAs coupled with mRNA in the ribosome is a critical process in the elongation cycle of protein synthesis. The translocation entails large-scale conformational changes of the ribosome and involves several intermediate states with tRNAs in different positions with respect to 30S and 50S ribosomal subunits. However, the detailed role of the intermediate states is unknown and the detailed mechanism and pathway of translocation is unclear. Here based on previous structural, biochemical and single-molecule data we present a translocation pathway by incorporating several intermediate states. With the pathway, we study theoretically (i) the kinetics of 30S head rotation associated with translocation catalyzed by wild-type EF-G, (ii) the dynamics of fluctuations between different tRNA states during translocation interfered with EF-G mutants and translocation-specific antibiotics, (iii) the kinetics of tRNA movement in 50S subunit and mRNA movement in 30S subunit in the presence of wild-type EF-G, EF-G mutants and translocation-specific antibiotics, (iv) the dynamics of EF-G sampling to the ribosome during translocation, etc., providing consistent and quantitative explanations of various available biochemical and single-molecule experimental data published in the literature. Moreover, we study the kinetics of 30S head rotation in the presence of EF-G mutants, providing predicted results. These have significant implications for the molecular mechanism and pathway of ribosomal translocation.

Model of the pathway of -1 frameshifting: Long pausing

It has been characterized that the programmed ribosomal -1 frameshifting often occurs at the slippery sequence on the presence of a downstream mRNA pseudoknot. In some prokaryotic cases such as the dnaX gene of Escherichia coli, an additional stimulatory signal-an upstream, internal Shine-Dalgarno (SD) sequence-is also necessary to stimulate the efficient -1 frameshifting. However, the molecular and physical mechanism of the -1 frameshifting is poorly understood. Here, we propose a model of the pathway of the -1 translational frameshifting during ribosome translation of the dnaX -1 frameshift mRNA. With the model, the single-molecule fluorescence data (Chen et al. (2014) [29]) on the dynamics of the shunt either to long pausing or to normal translation, the tRNA transit and sampling dynamics in the long-paused rotated state, the EF-G sampling dynamics, the mean rotated-state lifetimes, etc., are explained quantitatively. Moreover, the model is also consistent with the experimental data (Yan et al. (2015) [30]) on translocation excursions and broad branching of frameshifting pathways. In addition, we present some predicted results, which can be easily tested by future optical trapping experiments.

Model of the pathway of -1 frameshifting: Kinetics

Programmed -1 translational frameshifting is a process where the translating ribosome shifts the reading frame, which is directed by at least two stimulatory elements in the mRNA-a slippery sequence and a downstream secondary structure. Despite a lot of theoretical and experimental studies, the detailed pathway and mechanism of the -1 frameshifting remain unclear. Here, in order to understand the pathway and mechanism we consider two models to study the kinetics of the -1 frameshifting, providing quantitative explanations of the recent biochemical data of Caliskan et al. (Cell 2014, 157, 1619-1631). One model is modified from that proposed by Caliskan et al. and the other is modified from that proposed in the previous work to explain the single-molecule experimental data. It is shown that by adjusting values of some fundamental parameters both models can give quantitative explanations of the biochemical data of Caliskan et al. on the kinetics of EF-G binding and dissociation and on the kinetics of movement of tRNAs inside the ribosome. However, for the former model some adjusted parameter values deviate significantly from those determined from the available single-molecule experiments, while for the latter model all parameter values are consistent with the available biochemical and single-molecule experimental data. Thus, the latter model most likely reflects the pathway and mechanism of the -1 frameshifting.

Ribosome utilizes the minimum free energy changes to achieve the highest decoding rate and fidelity

The performance of ribosome translation can be characterized by two factors, the translation rate and fidelity. Here, we provide analytical studies of the effect of the near-cognate tRNAs on the two factors. It is shown that the increase of the concentration of the near-cognate tRNAs relative to that of the cognate tRNA has negative effects on the ribosome translation by reducing both the translation rate and the translation fidelity. The effect of the near-cognate ternary complexes on the translation rate results mainly from the initial selection phase, whereas the proofreading phase has a minor effect. By contrast, the effect of the near-cognate ternary complexes on the fidelity results almost equally from the two phases. By using two successive phases, the initial selection and the proofreading, the ribosome can achieve higher translation fidelity than the product of the fidelity when only the initial selection is included and when only the proofreading is included, especially at the large ratio of the concentration of the near-cognate tRNAs compared to that of the cognate tRNA. Moreover, we study the changes of the free energy landscape in the tRNA decoding step. It is found that the rate constants of the tRNA decoding step measured experimentally give the minimum energy changes for the ribosomal complex to attain the optimal performance with both the highest decoding rate and fidelity and/or with the maximum value of the decoding fitness function. This suggests that the ribosome has evolved to utilize the minimum free energy changes gained from the conformational changes of the ribosome, EF-Tu, and tRNA to achieve the optimal performance in the tRNA decoding.

Model of ribosomal translocation coupled with intra- and inter-subunit rotations

The ribosomal translocation involves both intersubunit rotations between the small 30S and large 50S subunits and the intrasubunit rotations of the 30S head relative to the 30S body. However, the detailed molecular mechanism on how the intersubunit and intrasubunit rotations are related to the translocation remains unclear. Here, based on available structural data a model is proposed for the ribosomal translocation, into which both the intersubunit and intrasubunit rotations are incorporated. With the model, we provide quantitative explanations of in vitro experimental data showing the biphasic character in the fluorescence change associated with the mRNA translocation and the character of a rapid increase that is followed by a slow single-exponential decrease in the fluorescence change associated with the 30S head rotation. The calculated translation rate is also consistent with the in vitro single-molecule experimental data.

Biphasic character of ribosomal translocation and non-Michaelis-Menten kinetics of translation

We study theoretically the kinetics of mRNA translocation in the wild-type (WT) Escherichia coli ribosome, which is composed of a small 30S and large 50S subunit, and the ribosomes with mutations to some intersubunit bridges such as B1a, B4, B7a, and B8. The theoretical results reproduce well the available in vitro experimental data on the biphasic kinetics of the forward mRNA translocation catalyzed by elongation factor G (EF-G) hydrolyzing GTP, which can be best fit by the sum of two exponentials, and the monophasic kinetics of the spontaneous reverse mRNA translocation in the absence of the elongation factor, which can be best fit by a single-exponential function, in both the WT and mutant ribosomes. We show that both the mutation-induced increase in the maximal rate of the slow phase for the forward mRNA translocation and that in the rate of the spontaneous reverse mRNA translocation result from a reduction in the intrinsic energy barrier to resist the rotational movements between the two subunits, giving the same degree of increase in the two rates. The mutation-induced increase in the maximal rate of the fast phase for the forward mRNA translocation results mainly from the increase in the rate of the ribosomal unlocking, a conformational change in the ribosome that widens the mRNA channel for the mRNA translocation to take place, which could be partly due to the effect of the mutation on the intrasubunit 30S head rotation. Moreover, we study the translation rate of the WT and mutant ribosomes. It is shown that the translation rate versus the concentration of EF-G-GTP does not follow the Michaelis-Menten (MM) kinetics, which is in sharp contrast to the general property of other enzymes that the rate of the enzymatic reaction versus the concentration of a substrate follows the MM kinetics. The physical origin of this non-MM kinetics for the ribosome is revealed.

Dynamics of +1 ribosomal frameshifting

It has been well characterized that the amino acid starvation can induce +1 frameshifting. However, how the +1 frameshifting occurs has not been fully understood. Here, taking Escherichia coli RF2 programmed frameshifting as an example we present systematical analysis of the +1 frameshifting that could occur during every state-transition step in elongation phase of protein synthesis, showing that the +1 frameshifting can occur only during the period after deacylated tRNA dissociation from the posttranslocation state and before the recognition of the next "hungry" codon. The +1 frameshifting efficiency is theoretically studied, with the simple analytical solutions showing that the high efficiency is almost solely due to the occurrence of ribosome pausing which in turn results from the insufficient RF2. The analytical solutions also provide a consistent explanation of a lot of independent experimental data.

Dynamics of forward and backward translocation of mRNA in the ribosome

Translocation of the mRNA-tRNA complex in the ribosome, which is catalyzed by elongation factor EF-G, is one of critical steps in the elongation cycle of protein synthesis. Besides this conventional forward translocation, the backward translocation can also occur, which can be catalyzed by elongation factor LepA. However, the molecular mechanism of the translocation remains elusive. To understand the mechanism, here we study theoretically the dynamics of the forward translocation under various nucleotide states of EF-G and the backward translocation in the absence of and in the presence of LepA. We present a consistent explanation of spontaneous forward translocations in the absence of EF-G, the EF-G-catalyzed forward translocations in the presence of a non-hydrolysable GTP analogue and in the presence of GTP, and the spontaneous and LepA-catalyzed backward translocation. The theoretical results provide quantitative explanations of a lot of different, independent experimental data, and also provide testable predictions.

Translocation dynamics of tRNA-mRNA in the ribosome

Translocation of tRNA-mRNA complex in the ribosome is an essential step in the elongation cycle of protein synthesis. However, some important issues concerning the molecular mechanism of the tRNA-mRNA translocation catalyzed by EF-G.GTP or by EF-G.GDPNP remain controversial. For example, can EF-G.GTP selectively bind to the hybrid pretranslocation state or bind to both the non-rotated pretranslocation and the hybrid pretranslocation states? Does the greater potency of EF-G in the presence of GTP rather than GDPNP in facilitating translocation derive from the effects on transition from the classical non-rotated to hybrid state (the first step of the translocation) or on transition from the hybrid to posttranslocation state (the second step)? Here, based on our proposed model, we study theoretically the dynamics of the tRNA-mRNA translocation through the ribosome catalyzed by EF-G.GTP and by EF-G.GDPNP. By comparing our theoretical results with the available experimental data, we show that EF-G.GTP can also bind to the classical non-rotated pretranslocation state and the greater potency of GTP hydrolysis in facilitating translocation of tRNA-mRNA complex derives from its effects on the second step of the translocation process.