Dynamics of forward and backward translocation of mRNA in 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.

Modeling of ribosome dynamics on a ds-mRNA under an external load

Protein molecules in cells are synthesized by macromolecular machines called ribosomes. According to the recent experimental data, we reduce the complexity of the ribosome and propose a model to express its activity in six main states. Using our model, we study the translation rate in different biological relevant situations in the presence of external force and the translation through the RNA double stranded region in the absence or presence of the external force. In the present study, we give a quantitative theory for translation rate and show that the ribosome behaves more like a Brownian Ratchet motor. Our findings could shed some light on understanding behaviors of the ribosome in biological conditions.

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.

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.