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

A model for ribosome translocation based on the alternated displacement of its subunits

A meaningful dilemma in ribosome translocation arising from experimental facts is that, although the ribosome-mRNA interaction force always has a significant magnitude, the ribosome still moves to the next codon on the mRNA. How does the ribosome move to the next codon in the sequence while holding the mRNA tightly? The hypothesis proposed here is that ribosome subunits alternate the grip of the ribosome on the mRNA, freeing the other subunit of such interaction for a while, thus allowing its motion to the following codon. Based on this assumption, a single-loop cycle of ribosome configurations involving the relative position of its subunits is elaborated. When its dynamic is modeled as a Markov network, it gives expressions for the average ribosome translocation speed and stall force as functions of the equilibrium constants among the proposed ribosome configurations. The calculations have a reasonable agreement with experimental results, and the succession of molecular events considered here is consistent with current biomolecular concepts of the ribosome translocation process. Thus, the alternative displacements hypothesis developed in the present work suggests a feasible explanation of ribosome translocation.

Rotations of macromolecules affect nonspecific biological responses to magnetic fields

We have previously proposed that there are at least two initial molecular transduction mechanisms needed to explain specific and nonspecific biological effects of weak magnetic fields. For the specific effect associated with animal magnetic navigation, the radical pair mechanism is the leading hypothesis; it associates the specialised magnetic sense with the radical pairs located in the eye retina. In contrast to the magnetic sense, nonspecific effects occur through the interaction of magnetic fields with magnetic moments dispersed over the organism. However, it is unlikely that the radical pair mechanism can explain such nonspecific phenomena. In order to explain these, we further develop our physical model for the case of magnetic moments residing in rotating molecules. It is shown that, in some conditions, the precession of the magnetic moments that reside on rotating molecules can be slowed relative to the immediate biophysical structures. In terms of quantum mechanics this corresponds to the mixing of the quantum levels of magnetic moments. Hence this mechanism is called the Level Mixing Mechanism, or the LMM. The results obtained are magnetic field-dependences that are in good agreement with known experiments where biological effects arise in response to the reversal of the magnetic field vector.

Mechanism of ribosome translation through mRNA secondary structures

A ribosome is a macromolecular machine that is responsible for translating the genetic codes in messenger RNA (mRNA) into polypeptide chains. It has been determined that besides translating through the single-stranded region, the ribosome can also translate through the duplex region of mRNA by unwinding the duplex. To understand the mechanism of ribosome translation through the duplex, several models have been proposed to study the dynamics of mRNA unwinding. Here, we present a comprehensive review of these models and also discuss other possible models. We evaluate each model and discuss the consistency and/or inconsistency between the theoretical results that are obtained based on each model and the available experimental data, thus determining which model is the most reasonable one to describe the mRNA unwinding mechanism and dynamics of the ribosome. Moreover, a framework for future studies in this subject is provided.

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.

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.

Dwell-Time Distribution, Long Pausing and Arrest of Single-Ribosome Translation through the mRNA Duplex

Proteins in the cell are synthesized by a ribosome translating the genetic information encoded on the single-stranded messenger RNA (mRNA). It has been shown that the ribosome can also translate through the duplex region of the mRNA by unwinding the duplex. Here, based on our proposed model of the ribosome translation through the mRNA duplex we study theoretically the distribution of dwell times of the ribosome translation through the mRNA duplex under the effect of a pulling force externally applied to the ends of the mRNA to unzip the duplex. We provide quantitative explanations of the available single molecule experimental data on the distribution of dwell times with both short and long durations, on rescuing of the long paused ribosomes by raising the pulling force to unzip the duplex, on translational arrests induced by the mRNA duplex and Shine-Dalgarno(SD)-like sequence in the mRNA. The functional consequences of the pauses or arrests caused by the mRNA duplex and the SD sequence are discussed and compared with those obtained from other types of pausing, such as those induced by "hungry" codons or interactions of specific sequences in the nascent chain with the ribosomal exit tunnel.