Modeling reveals the strength of weak interactions in stacked-ring assembly.

Cells employ many large macromolecular machines for the execution and regulation of processes that are vital for cell and organismal viability. Interestingly, cells cannot synthesize these machines as functioning units. Instead, cells synthesize the molecular parts that must then assemble into the functional complex. Many important machines, including chaperones such as GroEL and proteases such as the proteasome, comprise protein rings that are stacked on top of one another. While there is some experimental data regarding how stacked-ring complexes such as the proteasome self-assemble, a comprehensive understanding of the dynamics of stacked-ring assembly is currently lacking. Here, we developed a mathematical model of stacked-trimer assembly and performed an analysis of the assembly of the stacked homomeric trimer, which is the simplest stacked-ring architecture. We found that stacked rings are particularly susceptible to a form of kinetic trapping that we term "deadlock," in which the system gets stuck in a state where there are many large intermediates that are not the fully assembled structure but that cannot productively react. When interaction affinities are uniformly strong, deadlock severely limits assembly yield. We thus predicted that stacked rings would avoid situations where all interfaces in the structure have high affinity. Analysis of available crystal structures indicated that indeed the majority-if not all-of stacked trimers do not contain uniformly strong interactions. Finally, to better understand the origins of deadlock, we developed a formal pathway analysis and showed that, when all the binding affinities are strong, many of the possible pathways are utilized. In contrast, optimal assembly strategies utilize only a small number of pathways. Our work suggests that deadlock is a critical factor influencing the evolution of macromolecular machines and provides general principles for understanding the self-assembly efficiency of existing machines.

ISWI remodels nucleosomes through a random walk.

The chromatin remodeler ISWI is capable of repositioning clusters of nucleosomes to create well-ordered arrays or moving single nucleosomes from the center of DNA fragments toward the ends without disrupting their integrity. Using standard electrophoresis assays, we have monitored the ISWI-catalyzed repositioning of different nucleosome samples each containing a different length of DNA symmetrically flanking the initially centrally positioned histone octamer. We find that ISWI moves the histone octamer between distinct and thermodynamically stable positions on the DNA according to a random walk mechanism. Through the application of a spectrophotometric assay for nucleosome repositioning, we further characterized the repositioning activity of ISWI using short nucleosome substrates and were able to determine the macroscopic rate of nucleosome repositioning by ISWI. Additionally, quantitative analysis of repositioning experiments performed at various ISWI concentrations revealed that a monomeric ISWI is sufficient to obtain the observed repositioning activity as the presence of a second ISWI bound had no effect on the rate of nucleosome repositioning. We also found that ATP hydrolysis is poorly coupled to nucleosome repositioning, suggesting that DNA translocation by ISWI is not energetically rate-limiting for the repositioning reaction. This is the first calculation of a microscopic ATPase coupling efficiency for nucleosome repositioning and also further supports our conclusion that a second bound ISWI does not contribute to the repositioning reaction.

Quantitative determination of binding of ISWI to nucleosomes and DNA shows allosteric regulation of DNA binding by nucleotides.

The regulation of chromatin structure is controlled by a family of molecular motors called chromatin remodelers. The ability of these enzymes to remodel chromatin structure is dependent on their ability to couple ATP binding and hydrolysis into the mechanical work that drives nucleosome repositioning. The necessary first step in determining how these essential enzymes perform this function is to characterize both how they bind nucleosomes and how this interaction is regulated by ATP binding and hydrolysis. With this goal in mind, we monitored the interaction of the chromatin remodeler ISWI with fluorophore-labeled nucleosomes and DNA through associated changes in fluorescence anisotropy of the fluorophore upon binding of ISWI to these substrates. We determined that one ISWI molecule binds to a 20 bp double-stranded DNA substrate with an affinity of 18 ± 2 nM. In contrast, two ISWI molecules can bind to the core nucleosome with short linker DNA with stoichiometric macroscopic equilibrium constants: 1/ß1 = 1.3 ± 0.6 nM, and 1/ß2 = 13 ± 7 nM(2). Furthermore, to improve our understanding of the mechanism of DNA translocation by ISWI, and hence nucleosome repositioning, we determined the effect of nucleotide analogues on substrate binding by ISWI. While the affinity of ISWI for the nucleosome substrate with short lengths of flanking DNA was not affected by the presence of nucleotides, the affinity of ISWI for the DNA substrate is weakened in the presence of nonhydrolyzable ATP analogues but not by ADP.

Molecular motor translocation kinetics: Application of Monte Carlo computer simulations to determine microscopic kinetic parameters.

Methods for studying the translocation of motor proteins along a filament (e.g., nucleic acid and polypeptide) typically monitor the total production of ADP, the arrival/departure of the motor protein at/from a particular location (often one end of the filament), or the dissociation of the motor protein from the filament. The associated kinetic time courses are often analyzed using a simple sequential uniform n-step mechanism to estimate the macroscopic kinetic parameters (e.g., translocation rate and processivity) and the microscopic kinetic parameters (e.g., kinetic step-size and the rate constant for the rate-limiting step). These sequential uniform n-step mechanisms assume repetition of uniform and irreversible rate-limiting steps of forward motion along the filament. In order to determine how the presence of non-uniform motion (e.g., backward motion, random pauses, or jumping) affects the estimates of parameters obtained from such analyses, we evaluated computer simulated translocation time courses containing non-uniform motion using a simple sequential uniform n-step model. By comparing the kinetic parameters estimated from the analysis of the data generated by these simulations with the input parameters of the simulations, we were able to determine which of the kinetic parameters were likely to be over/under estimated due to non-uniform motion of the motor protein.

Anisotropy-Based Nucleosome Repositioning Assay.

Most eukaryotic DNA is tightly packaged into nucleosomes that render these sequences largely inaccessible for transcription or repair. Molecular motors called chromatin remodelers use an ATP-dependent mechanism to relieve the inhibition of these processes by sliding or disassembling the nucleosomes. This allows them to serve an essential role in the regulation of gene expression and genomic integrity. The sliding of nucleosomes along DNA can be studied directly by monitoring the associated changes in the fluorescence anisotropy of fluorophores attached to the ends of the DNA. Nucleosome repositioning can also be monitored indirectly through the ATP hydrolysis of the chromatin remodeler during the sliding reaction. Here we discuss how the kinetic data collected in these experiments can be analyzed by simultaneous global nonlinear least squares (NLLS) analysis using simple sequential "n-step" mechanisms to obtain estimates of the macroscopic rate of nucleosome repositioning and of the stoichiometry of coupling ATP binding and hydrolysis to this reaction.

Effects of nucleosome stability on remodeler-catalyzed repositioning.

Chromatin remodelers are molecular motors that play essential roles in the regulation of nucleosome positioning and chromatin accessibility. These machines couple the energy obtained from the binding and hydrolysis of ATP to the mechanical work of manipulating chromatin structure through processes that are not completely understood. Here we present a quantitative analysis of nucleosome repositioning by the imitation switch (ISWI) chromatin remodeler and demonstrate that nucleosome stability significantly impacts the observed activity. We show how DNA damage induced changes in the affinity of DNA wrapping within the nucleosome can affect ISWI repositioning activity and demonstrate how assay-dependent limitations can bias studies of nucleosome repositioning. Together, these results also suggest that some of the diversity seen in chromatin remodeler activity can be attributed to the variations in the thermodynamics of interactions between the remodeler, the histones, and the DNA, rather than reflect inherent properties of the remodeler itself.

All motors have to decide is what to do with the DNA that is given them.

DNA translocases are a diverse group of molecular motors responsible for a wide variety of cellular functions. The goal of this review is to identify common aspects in the mechanisms for how these enzymes couple the binding and hydrolysis of ATP to their movement along DNA. Not surprisingly, the shared structural components contained within the catalytic domains of several of these motors appear to give rise to common aspects of DNA translocation. Perhaps more interesting, however, are the differences between the families of translocases and the potential associated implications both for the functions of the members of these families and for the evolution of these families. However, as there are few translocases for which complete characterizations of the mechanisms of DNA binding, DNA translocation, and DNA-stimulated ATPase have been completed, it is difficult to form many inferences. We therefore hope that this review motivates the necessary further experimentation required for broader comparisons and conclusions.