Single molecule measurements and molecular motors

Single molecule imaging and manipulation are powerful tools in describing the operations of molecular machines like molecular motors. The single molecule measurements allow a dynamic behaviour of individual biomolecules to be measured. In this paper, we describe how we have developed single molecule measurements to understand the mechanism of molecular motors. The step movement of molecular motors associated with a single cycle of ATP hydrolysis has been identified. The single molecule measurements that have sensitivity to monitor thermal fluctuation have revealed that thermal Brownian motion is involved in the step movement of molecular motors. Several mechanisms have been suggested in different motors to bias random thermal motion to directional movement.     

Molecular dynamics of hinge-bending motion of IgG vanishing with hydrolysis by papain

We have performed dielectric relaxation measurements via a time domain reflectometry (TDR) method to study dynamic behaviors of the segmental flexibility of immunoglobulin G (IgG) in aqueous solution without antigen binding. In general, an intermediate relaxation process due to bound water is observed around 100 MHz at 25 degrees C for common proteins between two relaxation processes due to overall rotation and reorientation of free water. However, the intermediate process observed around 6 MHz for IgG was due to both bound water and hinge-bending motion. The apparent activation energy of 33 kJ/mol was larger than 27 kJ/mol for only bound water, and the relaxation strength was about five times as large as expected for bound water. The shape of the relaxation curve was very broad and asymmetric. These characteristic differences arising from the hinge-bending motion of IgG disappeared for fragments decomposed from IgG hydrolyzed by papain, since the hinge-bending motion did not exist in this case. We have separated the relaxation processes due to hinge-bending motion and bound water for IgG and obtained the Fab-Fab angle of IgG as about 130 degrees by Kirkwood's correlation parameter and the activation energy of 34 kJ/mol for hinge-bending motion.     

Thermal fluctuations biased for directional motion in molecular motors

Recently developed single molecule measurements have demonstrated that the mechanisms for numerous protein functions involve thermal fluctuation, or Brownian motion. Protein interactions bias the random thermal noise in a manner such that the protein can perform its given functions. This phenomenon has been observed in molecular motor unidirectional movement where Brownian motion is used to preferentially bind the motor heads in one direction causing directional motility. This is analogous to that used by proteins in which spontaneous structural fluctuations are used to switch function. Seeing that two very different systems implement similar mechanisms suggests there exists a general scheme applied by diverse proteins that exploits thermal fluctuations in order to achieve their respective functions.     

Direct measurement of single-molecule visco-elasticity in atomic force microscope force-extension experiments

Measuring the visco-elastic properties of biological macromolecules constitutes an important step towards the understanding of dynamic biological processes, such as cell adhesion, muscle function, or plant cell wall stability. Force spectroscopy techniques based on the atomic force microscope (AFM) are increasingly used to study the complex visco-elastic response of (bio-)molecules on a single-molecule level. These experiments either require that the AFM cantilever is actively oscillated or that the molecule is clamped at constant force to monitor thermal cantilever motion. Here we demonstrate that the visco-elasticity of single bio-molecules can readily be extracted from the Brownian cantilever motion during conventional force-extension measurements. It is shown that the characteristics of the cantilever determine the signal-to-noise (S/N) ratio and time resolution. Using a small cantilever, the visco-elastic properties of single dextran molecules were resolved with a time resolution of 8.3 ms. The presented approach can be directly applied to probe the dynamic response of complex bio-molecular systems or proteins in force-extension experiments. Electronic Supplementary Material Supplementary material is available for this article at and is accessible for authorized users.     

Analysis of conformational motions and related key residue interactions responsible for a specific function of proteins with elastic network model

Protein collective motions play a critical role in many biochemical processes. How to predict the functional motions and the related key residue interactions in proteins is important for our understanding in the mechanism of the biochemical processes. Normal mode analysis (NMA) of the elastic network model (ENM) is one of the effective approaches to investigate the structure-encoded motions in proteins. However, the motion modes revealed by the conventional NMA approach do not necessarily correspond to a specific function of protein. In the present work, a new analysis method was proposed to identify the motion modes responsible for a specific function of proteins and then predict the key residue interactions involved in the functional motions by using a perturbation approach. In our method, an internal coordinate that accounts for the specific function was introduced, and the Cartesian coordinate space was transformed into the internal/Cartesian space by using linear approximation, where the introduced internal coordinate serves as one of the axes of the coordinate space. NMA of ENM in this internal/Cartesian space was performed and the function-relevant motion modes were identified according to their contributions to the specific function of proteins. Then the key residue interactions important for the functional motions of the protein were predicted as the interactions whose perturbation largely influences the fluctuation along the internal coordinate. Using our proposed methods, the maltose transporter (MalFGK₂) from E. Coli was studied. The functional motions and the key residue interactions that are related to the channel-gating function of this protein were successfully identified.     

The state of the filament

Movement is a defining characteristic of life. Macroscopic motion is driven by the dynamic interactions of myosin with actin filaments in muscle. Directed polymerization of actin behind the advancing membrane of a eukaryotic cell generates microscopic movement. Despite the fundamental importance of actin in these processes, the structure of the actin filament remains unknown. The Holmes model of the actin filament was published 15 years ago, and although it has been widely accepted, no high-resolution structural data have yet confirmed its veracity. Here, we review the implications of recently determined structures of F-actin-binding proteins for the structure of the actin filament and suggest a series of in silico tests for actin-filament models. We also review the significance of these structures for the arp2/3-mediated branched filament.     

Classification of Dynamical Diffusion States in Single Molecule Tracking Microscopy

Single molecule tracking of membrane proteins by fluorescence microscopy is a promising method to investigate dynamic processes in live cells. Translating the trajectories of proteins to biological implications, such as protein interactions, requires the classification of protein motion within the trajectories. Spatial information of protein motion may reveal where the protein interacts with cellular structures, because binding of proteins to such structures often alters their diffusion speed. For dynamic diffusion systems, we provide an analytical framework to determine in which diffusion state a molecule is residing during the course of its trajectory. We compare different methods for the quantification of motion to utilize this framework for the classification of two diffusion states (two populations with different diffusion speed). We found that a gyration quantification method and a Bayesian statistics-based method are the most accurate in diffusion-state classification for realistic experimentally obtained datasets, of which the gyration method is much less computationally demanding. After classification of the diffusion, the lifetime of the states can be determined, and images of the diffusion states can be reconstructed at high resolution. Simulations validate these applications. We apply the classification and its applications to experimental data to demonstrate the potential of this approach to obtain further insights into the dynamics of cell membrane proteins.     

Prediction of protein B-factor profiles

The polypeptide backbones and side chains of proteins are constantly moving due to thermal motion and the kinetic energy of the atoms. The B-factors of protein crystal structures reflect the fluctuation of atoms about their average positions and provide important information about protein dynamics. Computational approaches to predict thermal motion are useful for analyzing the dynamic properties of proteins with unknown structures. In this article, we utilize a novel support vector regression (SVR) approach to predict the B-factor distribution (B-factor profile) of a protein from its sequence. We explore schemes for encoding sequences and various settings for the parameters used in SVR. Based on a large dataset of high-resolution proteins, our method predicts the B-factor distribution with a Pearson correlation coefficient (CC) of 0.53. In addition, our method predicts the B-factor profile with a CC of at least 0.56 for more than half of the proteins. Our method also performs well for classifying residues (rigid vs. flexible). For almost all predicted B-factor thresholds, prediction accuracies (percent of correctly predicted residues) are greater than 70%. These results exceed the best results of other sequence-based prediction methods.     

Classification of Dynamical Diffusion States in Single Molecule Tracking Microscopy

Single molecule tracking of membrane proteins by fluorescence microscopy is a promising method to investigate dynamic processes in live cells. Translating the trajectories of proteins to biological implications, such as protein interactions, requires the classification of protein motion within the trajectories. Spatial information of protein motion may reveal where the protein interacts with cellular structures, because binding of proteins to such structures often alters their diffusion speed. For dynamic diffusion systems, we provide an analytical framework to determine in which diffusion state a molecule is residing during the course of its trajectory. We compare different methods for the quantification of motion to utilize this framework for the classification of two diffusion states (two populations with different diffusion speed). We found that a gyration quantification method and a Bayesian statistics-based method are the most accurate in diffusion-state classification for realistic experimentally obtained datasets, of which the gyration method is much less computationally demanding. After classification of the diffusion, the lifetime of the states can be determined, and images of the diffusion states can be reconstructed at high resolution. Simulations validate these applications. We apply the classification and its applications to experimental data to demonstrate the potential of this approach to obtain further insights into the dynamics of cell membrane proteins.     

Effects of ligand binding on the dynamics of rice nonspecific lipid transfer protein 1: a model from molecular simulations

Plant nonspecific lipid transfer proteins (nsLTPs) are small, basic proteins constituted mainly of alpha-helices and stabilized by four conserved disulfide bridges. They are characterized by the presence of a tunnel-like hydrophobic cavity, capable of transferring various lipid molecules between lipid bilayers in vitro. In this study, molecular dynamics (MD) simulations were performed at room temperature to investigate the effects of lipid binding on the dynamic properties of rice nsLTP1. Rice nsLTP1, either in the free form or complexed with one or two lipids was subjected to MD simulations. The C-terminal loop was very flexible both before and after lipid binding, as revealed by calculating the root-mean-square fluctuation. After lipid binding, the flexibility of some residues that were not in direct contact with lipid molecules increased significantly, indicating an increase of entropy in the region distal from the binding site. Essential dynamics analysis revealed clear differences in motion between unliganded and liganded rice nsLTP1s. In the free form of rice nsLTP1, loop1 exhibited the largest directional motion. This specific essential motion mode diminished after binding one or two lipid molecules. To verify the origin of the essential motion observed in the free form of rice nsLTP1, we performed multiple sequence alignments to probe the intrinsic motion encoded in the primary sequence. We found that the amino acid sequence of loop1 is highly conserved among plant nsLTP1s, thus revealing its functional importance during evolution. Furthermore, the sequence of loop1 is composed mainly of amino acids with short side chains. In this study, we show that MD simulations, together with essential dynamics analysis, can be used to determine structural and dynamic differences of rice nsLTP1 upon lipid binding.     

Systematic analysis of domain motions in proteins from conformational change: New results on citrate synthase and T4 lysozyme

Methods developed originally to analyze domain motions from simulation [Proteins 27:425–437, 1997] are adapted and extended for the analysis of X-ray conformers and for proteins with more than two domains. The method can be applied as an automatic procedure to any case where more than one conformation is available. The basis of the methodology is that domains can be recognized from the difference in the parameters governing their quasi-rigid body motion, and in particular their rotation vectors. A clustering algorithm is used to determine clusters of rotation vectors corresponding to main-chain segments that form possible dynamic domains. Domains are accepted for further analysis on the basis of a ratio of interdomain to intradomain fluctuation, and Chasles' theorem is used to determine interdomain screw axes. Finally residues involved in the interdomain motion are identified. The methodology is tested on citrate synthase and the M6I mutant of T4 lysozyme. In both cases new aspects to their conformational change are revealed, as are individual residues intimately involved in their dynamics. For citrate synthase the beta sheet is identified to be part of the hinging mechanism. In the case of T4 lysozyme, one of the four transitions in the pathway from the closed to the open conformation, furnished four dynamic domains rather than the expected two. This result indicates that the number of dynamic domains a protein possesses may not be a constant of the motion. Proteins 30:144–154, 1998. © 1998 Wiley-Liss, Inc.     

Application of the fluctuation theorem to motor proteins: from F<Subscript>1</Subscript>-ATPase to axonal cargo transport by kinesin and dynein

The fluctuation theorem is a representative theorem in non-equilibrium statistical physics actively studied in the 1990s. Relating to entropy production in non-equilibrium states, the theorem has been used to estimate the driving power of motor proteins from fluctuation in their motion. In this review, usage of the fluctuation theorem in experiments on motor proteins is illustrated for biologists, especially those who study mechanobiology, in which force measurement is a central issue. We first introduce the application of the fluctuation theorem in measuring the rotary torque of the rotary motor protein F₁-ATPase. Next, as an extension of this application, a recent trial estimating the force generated during cargo transport in vivo by the microtubule motors kinesin and dynein is introduced. Elucidation of the physical mechanism of such transport is important, especially for neurons, in which deficits in cargo transport are deeply related to neuronal diseases. Finally, perspectives on the fluctuation theorem as a new technique in the field of neuroscience are discussed.     

Tilted peptides: a motif for membrane destabilization (Hypothesis)

Cell life depends on the dynamics of molecular processes: molecule folding, organelle building and transformations involving membrane fusion, protein activation and degradation. To carry out these processes, the hydrophilic/hydrophobic interfaces of amphipathic systems such as membranes and native proteins must be disrupted. In the past decade, protein fragments acting in the disruption of interfaces have been evidenced: they are named the tilted or oblique peptides. Due to a peculiar distribution of hydrophobicity, they can disrupt hydrophobicity interfaces. Tilted peptides should be present in many proteins involved in various stages of cell life. This hypothesis overviews their discovery, describes how they are detected and discusses how they could be involved in dynamic biological processes.     

Tilted peptides: a motif for membrane destabilization (hypothesis)

Cell life depends on the dynamics of molecular processes: molecule folding, organelle building and transformations involving membrane fusion, protein activation and degradation. To carry out these processes, the hydrophilic/hydrophobic interfaces of amphipathic systems such as membranes and native proteins must be disrupted. In the past decade, protein fragments acting in the disruption of interfaces have been evidenced: they are named the tilted or oblique peptides. Due to a peculiar distribution of hydrophobicity, they can disrupt hydrophobicity interfaces. Tilted peptides should be present in many proteins involved in various stages of cell life. This hypothesis overviews their discovery, describes how they are detected and discusses how they could be involved in dynamic biological processes.     

Dynamic instability and motile events of native microtubules from squid axoplasm

Native microtubules from extruded axoplasm of squid giant axons were used as a paradigm to characterize the motion of organelles along free microtubules and to study the dynamics of microtubule length changes. The motion of large round organelles was visualized by AVEC-DIC microscopy and analyzed at a temporal resolution of 10 frames per second. The movements were smooth and showed no major changes in velocity or direction. During translocation, the organelles paused very rarely. Superimposed on the rather constant mean velocity was a velocity fluctuation, which indicated that the organelles are subject to considerable thermal motion during translocation. Evidence for a regular low-frequency oscillation was not found. The thermal motion was anisotropic such that axial motion was less restricted than lateral motion. We conclude that the crossbridge connecting the moving organelle to the microtubule has a flexible region that behaves like a hinge, which permits preferential movement in the direction parallel to the microtubule. The dynamic changes in length of native microtubules were studied at a temporal resolution of 1 Hz. About 98% of the native microtubules maintained their length ("stable" microtubules), while 2% showed phases of growing and/or shrinking typical for dynamic instability ("dynamic" microtubules). Gliding and organelle motion were not influenced by dynamic length changes. Transitions between growing and shrinking phases were low-frequency events (1-10 minutes per cycle). However, a new type of microtubule length fluctuation, which occurred at a high frequency (a few seconds per cycle), was detected. The length changes were in the 1-3 micron range. The latter events were very prominent at the (+) ends. It appears that the native axonal microtubules are much more stable than the purified microtubules and the microtubules of cultured cells that have been studied thus far. Potential mechanisms accounting for the three states of microtubule stability are discussed. These studies show that the native microtubules from squid giant axons are a very useful paradigm for studying microtubule-related motility events and microtubule dynamics.     

Characterizing phosphoproteins and phosphoproteomes using mass spectrometry.

The reversible phosphorylation of proteins plays a major role in many vital cellular processes by modulating protein function and transmitting signals within cellular pathways and networks. Because phosphorylation is dynamic and the sites of modification cannot be predicted by an organism's genome, proteomic measurements are required to identify sites of and changes in the phosphorylation state of proteins. The low stoichiometry of phosphorylation sites that accompany the multifarious nature of protein phosphorylation in biological systems continues to challenge the dynamic range of present mass spectrometry (MS) technologies and proteomic measurements, despite the preponderance of research and analytical methods devoted to this area. This review addresses some of the strategies and limitations involving the use of MS to map and quantify changes in protein phosphorylation sites for samples that range from a single protein to an entire proteome, and presents several compelling reasons as to why comprehensive phosphorylation site analysis has proven to be so elusive without a hypothesis-driven experimental approach to elicit more meaningful and confident results.     

Quantitative fluorescence imaging of protein diffusion and interaction in living cells

Diffusion processes and local dynamic equilibria inside cells lead to nonuniform spatial distributions of molecules, which are essential for processes such as nuclear organization and signaling in cell division, differentiation and migration. To understand these mechanisms, spatially resolved quantitative measurements of protein abundance, mobilities and interactions are needed, but current methods have limited capabilities to study dynamic parameters. Here we describe a microscope based on light-sheet illumination that allows massively parallel fluorescence correlation spectroscopy (FCS) measurements and use it to visualize the diffusion and interactions of proteins in mammalian cells and in isolated fly tissue. Imaging the mobility of heterochromatin protein HP1α (ref. 4) in cell nuclei we could provide high-resolution diffusion maps that reveal euchromatin areas with heterochromatin-like HP1α-chromatin interactions. We expect that FCS imaging will become a useful method for the precise characterization of cellular reaction-diffusion processes.     

Physicochemical bases for protein folding,dynamics, and protein-ligand binding

Proteins are essential parts of living organisms and participate in virtually every process within cells.As the genomic sequences for increasing number of organisms are completed,research into how proteins can perform such a variety of functions has become much more intensive because the value of the genomic sequences relies on the accuracy of understanding the encoded gene products.Although the static three-dimensional structures of many proteins are known,the functions of proteins are ultimately governed by their dynamic characteristics,including the folding process,conformational fluctuations,molecular motions,and protein-ligand interactions.In this review,the physicochemical principles underlying these dynamic processes are discussed in depth based on the free energy landscape(FEL)theory.Questions of why and how proteins fold into their native conformational states,why proteins are inherently dynamic,and how their dynamic personalities govern protein functions are answered.This paper will contribute to the understanding of structure-function relationship of proteins in the post-genome era of life science research.